Anton Betten

Reinhard Laue

Alfred Wassermann

our references in bibtex format

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something about DISCRETA and designs

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creation date: Thu Mar 11 15:29:58 MET 1999

WARNING: Completeness of know results is attempted only for t >= 6 and v <= 40 in the following list.

298 5-(12,6,1) (complement has $\lambda=6$)

Alltop construction for design number 295 |

$Aut(Icosahedron)$ complementary design:5-(12,6,6) with #blocks = #5-subsets = 792 |

\cite{Witt38} $M_{12}$ (1 isom. type) |

2750 5-(24,6,1) (complement has $\lambda=18$)

\cite{Denniston76} $PSL(2,23)$ (3 isom. types) |

2888 5-(24,8,1) (complement has $\lambda=968$)

\cite{Witt38} $M_{24}$ 1 isomorphism type |

4354 5-(28,7,1) (complement has $\lambda=252$)

Steiner system ! $PGL(2,27)$ (1 isom. type) \cite{Denniston76} |

5282 5-(36,6,1) (complement has $\lambda=30$)

\cite{Bettenetal98a} $PGL(2,17)\times C_2$ |

5399 5-(48,6,1) (complement has $\lambda=42$)

\cite{Denniston76} \cite{Grannelletal93} $PSL(2,47)$ (459 isom. types) |

5516 5-(72,6,1) (complement has $\lambda=66$)

\cite{Mills78}\cite{Grannelletal98} $PSL(2,71)$ short orbits: 4204 isomorphism types |

\cite{Mills78}\cite{Grannelletal98} $PSL(2,71)$ short orbits: 4204 isomorphism types, 916299 isomorphism types \cite{BettenMolodtsovLaueWassermann98} |

5520 5-(84,6,1) (complement has $\lambda=78$)

\cite{Denniston76} $PSL(2,83)$ 38717 isomorphism types from short orbits \cite{Grannelletal98} |

\cite{Denniston76} $PSL(2,83)$ 38717 isomorphism types from short orbits \cite{Grannelletal98}, semiregular: 3 isomorphism types \cite{BettenMolodtsovLaueWassermann98} |

868 5-(108,6,1) (complement has $\lambda=102$)

\cite{Mathon97} $PSL(2,107)$ >= 1000 isomorphism types |

882 5-(132,6,1) (complement has $\lambda=126$)

\cite{Mathon97} $PSL(2,131)$ >= 100 isomorphism types |

911 5-(168,6,1) (complement has $\lambda=162$)

\cite{Mathon97} $PSL(2,167)$ >= 4 isomorphism types |

11666 5-(244,6,1) (complement has $\lambda=238$)

$P\Sigma_L(2,3^5)$ \cite{BettenMolodtsovLaueWassermann98} >= 303 isomorphism types |

302 5-(12,6,2) (complement has $\lambda=5$)

Alltop construction for design number 299 |

$Aut(Icosahedron)$, $PGL(2,11)$ supplementary design has same parameters |

Alltop construction |

2754 5-(24,6,2) (complement has $\lambda=17$)

$PGL(2,11)\times C_2$ 1 isomorphism type, $PSL(2,11)\times C_2$ 611 solutions |

$PGL(2,23)$ 6 isomorphism types, $PSL(2,23)$ 38 isomorphism types |

2892 5-(24,8,2) (complement has $\lambda=967$)

\cite{KramerMagliveras74} |

\cite{AssmusMattson66a} $PGL(2,23))$ |

4338 5-(28,6,2) (complement has $\lambda=21$)

$PGL(2,13)\times C_2$ 11 solutions |

$PSL(2,27)$ (62 isom. types) \cite{KreherRadziszowski87a} |

5306 5-(36,6,2) (complement has $\lambda=29$)

$PGL(2,17)\times C_2$ |

5415 5-(48,6,2) (complement has $\lambda=41$)

$PGL(2,23)\times C_2$, $PSL(2,47)$ |

5456 5-(52,6,2) (complement has $\lambda=45$)

$P\Gamma L(2,25)\times C_2$ many solutions |

11670 5-(244,6,2) (complement has $\lambda=237$)

$P\Sigma_L(2,3^5)$ \cite{BettenMolodtsovLaueWassermann98} |

306 5-(12,6,3) (complement has $\lambda=4$)

Alltop construction for design number 303 |

Alltop construction |

886 5-(14,6,3) (complement has $\lambda=6$)

Brouwer 1977/1986 |

896 5-(16,6,3) (complement has $\lambda=8$)

Brouwer 1977/1986 |

2758 5-(24,6,3) (complement has $\lambda=16$)

\cite{AssmusMattson69} $M_24$ 1 isomorphism type |

$PGL(2,23)$ 3 isomorphism types |

2808 5-(24,7,3) (complement has $\lambda=168$)

\cite{Driessen78} $M_{24}$ |

2896 5-(24,8,3) (complement has $\lambda=966$)

\cite{KramerMagliveras74} |

\cite{KramerMagliveras74} |

4342 5-(28,6,3) (complement has $\lambda=20$)

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

5310 5-(36,6,3) (complement has $\lambda=28$)

$PGL(2,17)\times C_2$ |

5427 5-(48,6,3) (complement has $\lambda=40$)

$PGL(2,23)\times C_2$, $PSL(2,47)$ |

74 5-(64,6,3) (complement has $\lambda=56$)

$A\Gamma L(2,8)$ 190 isomorphism types |

872 5-(13,6,4) (selfcomplementary)

\cite{Kreher86a} |

derived from number 878 |

derived from complement of number 878 |

878 6-(14,7,4) (selfcomplementary)

Alltop construction for design number 872 |

$C_{13}+$ (2 isom. types) \cite{KreherRadziszowski86}, Halving of the complete design |

947 5-(18,6,4) (complement has $\lambda=9$)

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

derived from number 5524 |

1416 5-(19,6,4) (complement has $\lambda=10$)

$Hol(C_{19})$ (255 isom. types) \cite{Bettenetal98b} |

5524 6-(19,7,4) (complement has $\lambda=9$)

$Hol(C_{17})++$ (1 isom. type) \cite{Bettenetal97b} |

1877 5-(21,6,4) (complement has $\lambda=12$)

$Hol(C_{21})$ |

7850 5-(22,6,4) (complement has $\lambda=13$)

derived from number 7848 |

7848 6-(23,7,4) (complement has $\lambda=13$)

derived from number 7847 |

2762 5-(24,6,4) (complement has $\lambda=15$)

$PGL(2,23)$ 18 isomorphism types |

$PGL(2,11)\times C_2$ 392 solutions |

2900 5-(24,8,4) (complement has $\lambda=965$)

\cite{KramerMagliveras74} |

\cite{KramerMagliveras74} |

7847 7-(24,8,4) (complement has $\lambda=13$)

PSL(2,23) (1 isom. type) \cite{Bettenetal98b} |

72 5-(27,6,4) (complement has $\lambda=18$)

$ASL(3,3)^{13}$ NOT SIMPLE! 1 orbit twice |

4346 5-(28,6,4) (complement has $\lambda=19$)

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

5314 5-(36,6,4) (complement has $\lambda=27$)

$PGL(2,17)\times C_2$ |

5431 5-(48,6,4) (complement has $\lambda=39$)

$PGL(2,23)\times C_2$, $PSL(2,47)$ |

900 5-(16,6,5) (complement has $\lambda=6$)

Brouwer 1977/1986 |

951 5-(18,6,5) (complement has $\lambda=8$)

\cite{Brouwer86} |

7857 5-(22,6,5) (complement has $\lambda=12$)

derived from number 7855 |

7855 6-(23,7,5) (complement has $\lambda=12$)

derived from number 7854 |

2766 5-(24,6,5) (complement has $\lambda=14$)

$PGL(2,23)$ 13 isomorphism types |

$PGL(2,11)\times C_2$ 10118 solutions |

2904 5-(24,8,5) (complement has $\lambda=964$)

\cite{KramerMagliveras74} |

\cite{KramerMagliveras74} |

7854 7-(24,8,5) (complement has $\lambda=12$)

PSL(2,23) (138 isom. types) \cite{Bettenetal98b} |

50 5-(28,6,5) (complement has $\lambda=18$)

$PSU(3,9)$ 5724 isomorphism types |

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

4866 5-(30,6,5) (complement has $\lambda=20$)

$\lambda=5$ $PSL(2,29)$ has 192 solutions (17 isom. types), $PGL(2,29)$ has 158 solutions (=158 isom. types) |

\cite{Kreher95} |

5261 5-(34,6,5) (complement has $\lambda=24$)

\cite{Sebille98} $P\Gamma L(2,16)\times C_2$ 15 solutions |

5318 5-(36,6,5) (complement has $\lambda=26$)

$PGL(2,17)\times C_2$ |

5435 5-(48,6,5) (complement has $\lambda=38$)

$PGL(2,23)\times C_2$, $PSL(2,47)$ |

5526 5-(18,6,6) (complement has $\lambda=7$)

derived from number 5525 |

973 5-(18,7,6) (complement has $\lambda=72$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type, block-transitive |

1159 5-(18,8,6) (complement has $\lambda=280$)

$PGL(2,16)+$ 1 isomorphism type |

\cite{MacWilliams78} |

1420 5-(19,6,6) (complement has $\lambda=8$)

$Hol(C_{19})$ (17193 isom. types) #blocks = #5-subsets \cite{Bettenetal98b} |

5525 6-(19,7,6) (complement has $\lambda=7$)

$Hol(C_{19})$ (3 isom. types) \cite{Bettenetal97b} |

7862 5-(22,6,6) (complement has $\lambda=11$)

derived from number 7860 |

$Hol(C_{19})+++$ |

11052 5-(23,6,6) (complement has $\lambda=12$)

$Hol(C_{23})$ >=2 solutions |

7860 6-(23,7,6) (complement has $\lambda=11$)

derived from number 7859 |

2770 5-(24,6,6) (complement has $\lambda=13$)

$PGL(2,23)$ 24 isomorphism types |

$PGL(2,11)\times C_2$ |

derived from number 8000 |

2849 5-(24,7,6) (complement has $\lambda=165$)

\cite{Kreheretal90} $PGL(2,23))$ |

2908 5-(24,8,6) (complement has $\lambda=963$)

\cite{KramerMagliveras74} |

\cite{KramerMagliveras74} |

3642 5-(24,9,6) (complement has $\lambda=3870$)

\cite{AssmusMattson69c} $PSL(2,23)$ (1 isomorphism type) block transitive |

7859 7-(24,8,6) (complement has $\lambda=11$)

PSL(2,23) (>= 132 isom. types) \cite{Bettenetal98b} |

8000 6-(25,7,6) (complement has $\lambda=13$)

derived from number 7999 |

7999 7-(26,8,6) (complement has $\lambda=13$)

PGL(2,25) (14 solutions, 7 isom. types) \cite{Bettenetal98b} |

45 5-(27,6,6) (complement has $\lambda=16$)

derived from number 44 |

54 5-(28,6,6) (complement has $\lambda=17$)

$PSU(3,9)$ 5290 isomorphism types |

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

44 6-(28,7,6) (complement has $\lambda=16$)

$PSU(3,9)$ $\ge $ 10 isomorphism types |

7655 5-(31,6,6) (complement has $\lambda=20$)

derived from number 7653 |

7653 6-(32,7,6) (complement has $\lambda=20$)

$PSL(2,31)$ (>=18) \cite{Bettenetal97b} |

5322 5-(36,6,6) (complement has $\lambda=25$)

$PGL(2,17)\times C_2$ |

5439 5-(48,6,6) (complement has $\lambda=37$)

$PGL(2,23)\times C_2$, $PSL(2,47)$ |

7869 5-(22,6,7) (complement has $\lambda=10$)

derived from number 7867 |

7867 6-(23,7,7) (complement has $\lambda=10$)

derived from number 7866 |

2774 5-(24,6,7) (complement has $\lambda=12$)

$PGL(2,23)$ 20 isomorphism types |

$PGL(2,11)\times C_2$ |

2912 5-(24,8,7) (complement has $\lambda=962$)

\cite{KramerMagliveras74} |

\cite{KramerMagliveras74} |

7866 7-(24,8,7) (complement has $\lambda=10$)

PSL(2,23) (>= 126 isom. types) \cite{Bettenetal98b} |

4350 5-(28,6,7) (complement has $\lambda=16$)

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

4389 5-(28,7,7) (complement has $\lambda=246$)

$PSL(2,27)$ (2 isom. types) |

5326 5-(36,6,7) (complement has $\lambda=24$)

$PGL(2,17)\times C_2$ |

5443 5-(48,6,7) (complement has $\lambda=36$)

$PGL(2,23)\times C_2$, $PSL(2,47)$ |

5554 5-(21,6,8) (selfcomplementary)

derived from number 5553 |

derived from complement of number 5553 |

7876 5-(22,6,8) (complement has $\lambda=9$)

derived from number 7874 |

5553 6-(22,7,8) (selfcomplementary)

(6-(8m+6,7,4m) for m=2 \cite{Teirlinck89}), Halving of the complete design |

7874 6-(23,7,8) (complement has $\lambda=9$)

derived from number 7873 |

2778 5-(24,6,8) (complement has $\lambda=11$)

$PGL(2,23)$ 51 isomorphism types |

2916 5-(24,8,8) (complement has $\lambda=961$)

\cite{KramerMagliveras74} |

\cite{KramerMagliveras74} |

7873 7-(24,8,8) (complement has $\lambda=9$)

PSL(2,23) (>= 63 isom. types) PGL(2,23) (4 isom. types) #blocks = #7-subsets \cite{Bettenetal98b}, \cite{Bettenetal97b} |

58 5-(28,6,8) (complement has $\lambda=15$)

$PSU(3,9)$ many isomorphism types |

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

4393 5-(28,7,8) (complement has $\lambda=245$)

$PSL(2,27)$ (2 isom. types) |

5330 5-(36,6,8) (complement has $\lambda=23$)

$PGL(2,17)\times C_2$ |

5447 5-(48,6,8) (complement has $\lambda=35$)

$PSL(2,47)$ |

2782 5-(24,6,9) (complement has $\lambda=10$)

$PGL(2,23)$ 43 isomorphism types |

$PGL(2,11)\times C_2$ |

2885 5-(24,7,9) (complement has $\lambda=162$)

\cite{Kreheretal90} $PGL(2,23))$ |

2920 5-(24,8,9) (complement has $\lambda=960$)

\cite{KramerMagliveras74} |

\cite{KramerMagliveras74} |

62 5-(28,6,9) (complement has $\lambda=14$)

$PSU(3,9)$ many isomorphism types |

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

5334 5-(36,6,9) (complement has $\lambda=22$)

$PGL(2,17)\times C_2$ |

5347 5-(38,6,9) (complement has $\lambda=24$)

\cite{Sebille98} $PGL(2,37)$ |

3847 5-(25,7,10) (complement has $\lambda=180$)

TvT: 5-(24,6,1) $\cup$ 5-(24,7,9) |

4334 5-(28,6,10) (complement has $\lambda=13$)

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

9422 5-(31,6,10) (complement has $\lambda=16$)

derived from number 9418 |

9418 6-(32,7,10) (complement has $\lambda=16$)

derived from number 9416 |

9416 7-(33,8,10) (complement has $\lambda=16$)

$P\Gamma L(2,32)$ (4996426 isom. types) \cite{Bettenetal95b} |

5286 5-(36,6,10) (complement has $\lambda=21$)

$PGL(2,17)\times C_2$ |

66 5-(28,6,11) (complement has $\lambda=12$)

$PSU(3,9)$ many isomorphism types |

$PSL(2,27)$ \cite{KreherRadziszowski87a} |

5290 5-(36,6,11) (complement has $\lambda=20$)

$PGL(2,17)\times C_2$ |

78 5-(64,6,11) (complement has $\lambda=48$)

$ASL(3,4)$ 8 isomorphism types |

$ASL(3,4)$ 48 solutions, 18 isomorphism types |

$ASL(3,4)$ 48 solutions |

892 5-(14,7,12) (complement has $\lambda=24$)

Alltop construction for design number 889 |

$C_4xId_3$ (halving of the complete design),Alltop from 4-(13,6,12) |

$LS[3](5,7,14)$ Alltop-extension $LS[3](4,6,13)$ |

Alltop construction from 4-(13,6,12), 8 solutions, res(6-(15,7,3)) |

915 5-(17,7,12) (complement has $\lambda=54$)

Brouwer 1977/1986 |

955 5-(18,7,12) (complement has $\lambda=66$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

2786 5-(24,7,12) (complement has $\lambda=159$)

\cite{Kreheretal90} |

3294 5-(24,9,12) (complement has $\lambda=3864$)

$PGL(2,23)$ (1 isomorphism type) block transitive |

7543 5-(29,6,12) (selfcomplementary)

derived from number 7541 |

derived from complement of number 7541 |

7541 6-(30,7,12) (selfcomplementary)

$PSL(2,29)$ (many) (6-(8m+6,7,4m) for m=3 (\cite{Teirlinck89})), Halving of the complete design |

5214 5-(33,6,12) (complement has $\lambda=16$)

\cite{Sebille98} $P\Gamma L(2,32)$ |

5257 5-(34,6,12) (complement has $\lambda=17$)

\cite{Sebille98} $P\Gamma L(2,16)\times C_2$ 15 solutions |

5294 5-(36,6,12) (complement has $\lambda=19$)

$PGL(2,17)\times C_2$ |

5343 5-(38,6,12) (complement has $\lambda=21$)

\cite{Sebille98} $PGL(2,37)$ |

5403 5-(48,6,13) (complement has $\lambda=30$)

$PSL(2,47)$ |

873 5-(13,7,14) (selfcomplementary)

supplementary design of number 872 |

residual design of number 878 |

residual design of complement of number 878 |

1056 5-(18,8,14) (complement has $\lambda=272$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

5298 5-(36,6,14) (complement has $\lambda=17$)

$PGL(2,17)\times C_2$ |

893 5-(15,7,15) (complement has $\lambda=30$)

TvT: 5-(14,6,3) $\cup$ 5-(14,7,12) \cite{TranvanTrung86} |

904 5-(16,7,15) (complement has $\lambda=40$)

$A_4\times D_4$ 42 solutions |

Brouwer 1977/1986 |

1165 5-(18,9,15) (complement has $\lambda=700$)

Alltop construction for design number 1162 |

\cite{Brouwer86} Alltop(res(5-(18,8,6)) |

\cite{Kramer75} $PGL(2,16)+$ 1 isomorphism type |

2790 5-(24,7,15) (complement has $\lambda=156$)

\cite{Kreheretal90} |

3875 5-(25,9,15) (complement has $\lambda=4830$)

TvT: 5-(24,8,3) $\cup$ 5-(24,9,12) |

4362 5-(28,7,15) (complement has $\lambda=238$)

$PSL(2,27)$ (>=1 isom. types) |

5302 5-(36,6,15) (complement has $\lambda=16$)

$PGL(2,17)\times C_2$ |

1077 5-(18,8,16) (complement has $\lambda=270$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type, block-transitive |

1899 5-(22,7,16) (complement has $\lambda=120$)

\cite{Kreher95} $PSL(2,19)++$ 9 solutions |

\cite{Kreher95} $PGL(2,19)++$ |

2979 5-(24,8,16) (complement has $\lambda=953$)

$PSL(2,23)$ 2 isomorphism types |

7723 5-(37,6,16) (selfcomplementary)

derived from number 7721 |

derived from complement of number 7721 |

7721 6-(38,7,16) (selfcomplementary)

\cite{Ajoodani94} using 6_(22,7,7) |

2995 5-(24,8,17) (complement has $\lambda=952$)

$PSL(2,23)$ 4 isomorphism types |

5407 5-(48,6,17) (complement has $\lambda=26$)

$PSL(2,47)$ |

877 5-(14,7,18) (selfcomplementary)

Tran van Trung construction with supplementary design for design number 872 |

Alltop construction for design number 874 |

design of number 878 with respect to smaller t |

complementary design of number 878 with respect to smaller t |

$LS[2](5,7,14)$ $C_{13}+$ |

919 5-(17,7,18) (complement has $\lambda=48$)

$(A_4\times D_4)+$ (many isom. types) |

TvT: 5-(16,6,3) $\cup$ 5-(16,7,12) \cite{TranvanTrung86} |

959 5-(18,7,18) (complement has $\lambda=60$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

2794 5-(24,7,18) (complement has $\lambda=153$)

\cite{Kreheretal90} |

3002 5-(24,8,18) (complement has $\lambda=951$)

$PSL(2,23)$ 2 isomorphism types |

5411 5-(48,6,18) (complement has $\lambda=25$)

$PSL(2,47)$ |

3010 5-(24,8,19) (complement has $\lambda=950$)

$PSL(2,23)$ 1 isomorphism type |

906 5-(16,7,20) (complement has $\lambda=35$)

$HoL(C_{16})$ Wassermann 152 solutions |

310 5-(16,8,20) (complement has $\lambda=145$)

Alltop construction for design number 307 |

Alltop construction |

Alltop construction |

3014 5-(24,8,20) (complement has $\lambda=949$)

$PSL(2,23)$ 3 isomorphism types |

3849 5-(25,7,20) (complement has $\lambda=170$)

TvT: 5-(24,6,2) $\cup$ 5-(24,7,18) |

3861 5-(25,8,20) (complement has $\lambda=1120$)

TvT: 5-(24,7,3) $\cup$ 5-(24,8,17) |

5419 5-(48,6,20) (complement has $\lambda=23$)

$PGL(2,23)\times C_2$ |

1510 5-(19,9,21) (complement has $\lambda=980$)

Brouwer 1977/1986 |

2797 5-(24,7,21) (complement has $\lambda=150$)

\cite{Kreheretal90} |

3022 5-(24,8,21) (complement has $\lambda=948$)

$PSL(2,23)$ 6 isomorphism types |

5423 5-(48,6,21) (complement has $\lambda=22$)

$PSL(2,47)$ |

291 5-(66,6,21) (complement has $\lambda=40$)

$P\Gamma L(2,32)\times C_2$ |

3026 5-(24,8,22) (complement has $\lambda=947$)

$PSL(2,23)$ 11 isomorphism types |

4366 5-(28,7,22) (complement has $\lambda=231$)

$PSL(2,27)$ (>=1 isom. types) |

3030 5-(24,8,23) (complement has $\lambda=946$)

$PSL(2,23)$ 18 isomorphism types |

921 5-(17,7,24) (complement has $\lambda=42$)

Brouwer 1977/1986 $Hol(C_{17})$ |

963 5-(18,7,24) (complement has $\lambda=54$)

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

residual design of number 5524 |

2801 5-(24,7,24) (complement has $\lambda=147$)

\cite{Kreheretal90} |

3034 5-(24,8,24) (complement has $\lambda=945$)

$PGL(2,23)$ 3 isomorphism types |

4767 5-(29,7,24) (complement has $\lambda=252$)

$PGL(2,27)+$ (>=1 isom. types) |

909 5-(16,7,25) (complement has $\lambda=30$)

$A_4\times A_4$ |

314 5-(16,8,25) (complement has $\lambda=140$)

Alltop construction for design number 311 |

Alltop construction |

Alltop construction |

3038 5-(24,8,25) (complement has $\lambda=944$)

$PSL(2,23)$ 49 isomorphism types |

3042 5-(24,8,26) (complement has $\lambda=943$)

$PGL(2,23)$ 4 isomorphism types |

2805 5-(24,7,27) (complement has $\lambda=144$)

\cite{Kreheretal90} |

3046 5-(24,8,27) (complement has $\lambda=942$)

$PSL(2,23)$ 72 isomorphism types |

1424 5-(19,7,28) (complement has $\lambda=63$)

$Hol(C_{19})$ (>=1 isom. types) |

Brouwer 1977/1986 |

TvT: 5-(18,6,4) $\cup$ 5-(18,7,24) \cite{TranvanTrung86} |

design of number 5524 with respect to smaller t |

3050 5-(24,8,28) (complement has $\lambda=941$)

$PGL(2,23)$ 4 isomorphism types |

4369 5-(28,7,28) (complement has $\lambda=225$)

$PSL(2,27)$ (>=1 isom. types) |

3058 5-(24,8,29) (complement has $\lambda=940$)

$PSL(2,23)$ |

4373 5-(28,7,29) (complement has $\lambda=224$)

$PSL(2,27)$ (>=1 isom. types) |

318 5-(16,8,30) (complement has $\lambda=135$)

Alltop construction for design number 315 |

Alltop construction |

924 5-(17,7,30) (complement has $\lambda=36$)

TvT: 5-(16,6,5) $\cup$ 5-(16,7,25) |

966 5-(18,7,30) (complement has $\lambda=48$)

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

1084 5-(18,8,30) (complement has $\lambda=256$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

1305 5-(18,9,30) (complement has $\lambda=685$)

\cite{Kramer75} |

Alltop construction for design number 1307 |

\cite{Brouwer86} $Hol(C_17)+$ 1 isomorphism type |

2812 5-(24,7,30) (complement has $\lambda=141$)

\cite{Kreheretal90} |

3062 5-(24,8,30) (complement has $\lambda=939$)

$PGL(2,23)$ 4 isomorphism types |

3850 5-(25,7,30) (complement has $\lambda=160$)

TvT: 5-(24,6,3) $\cup$ 5-(24,7,27) |

1091 5-(18,8,32) (complement has $\lambda=254$)

\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types |

7851 5-(22,7,32) (complement has $\lambda=104$)

residual design of number 7848 |

derived from number 7849 |

7849 6-(23,8,32) (complement has $\lambda=104$)

residual design of number 7847 |

3066 5-(24,8,32) (complement has $\lambda=937$)

$PGL(2,23)$ 8 isomorphism types |

2816 5-(24,7,33) (complement has $\lambda=138$)

\cite{Kreheretal90} |

3070 5-(24,8,34) (complement has $\lambda=935$)

$PGL(2,23)$ 9 isomorphism types |

322 5-(16,8,35) (complement has $\lambda=130$)

Alltop construction for design number 319 |

Alltop construction |

1062 5-(18,9,35) (complement has $\lambda=680$)

Alltop construction for design number 1059 |

\cite{Kramer75} |

\cite{Brouwer86} $Hol(C_17)+$ |

\cite{Brouwer86} Alltop(res(5-(18,8,14)) |

1426 5-(19,7,35) (complement has $\lambda=56$)

Brouwer 1977/1986 |

1783 5-(20,8,35) (complement has $\lambda=420$)

\cite{Krameretal85} $PSL(2,19)$ 5 isomorphism types |

3073 5-(24,8,35) (complement has $\lambda=934$)

$PGL(2,23)$ 1 isomorphism type |

4377 5-(28,7,35) (complement has $\lambda=218$)

$PSL(2,27)$ (>=1 isom. types) |

969 5-(18,7,36) (complement has $\lambda=42$)

\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types |

residual design of number 5525 |

1903 5-(22,7,36) (complement has $\lambda=100$)

$PSL(2,19)++$ |

$PGL(2,19)++$ 69 solutions |

5749 5-(23,7,36) (complement has $\lambda=117$)

derived from number 5747 |

design of number 7848 with respect to smaller t |

2820 5-(24,7,36) (complement has $\lambda=135$)

\cite{Kreheretal90} |

derived from number 6251 |

3077 5-(24,8,36) (complement has $\lambda=933$)

$PGL(2,23)$ 13 isomorphism types |

3607 5-(24,9,36) (complement has $\lambda=3840$)

\cite{Driessen78} $M_{24}$ 1 isomorphism type |

$PSL(2,23)$ (4 solutions) |

2488 5-(24,10,36) (complement has $\lambda=11592$)

$PSL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} block-transitive |

5747 6-(24,8,36) (complement has $\lambda=117$)

PGL(2,23) (9 isom. types) \cite{Bettenetal98b} |

design of number 7847 with respect to smaller t |

6251 6-(25,8,36) (complement has $\lambda=135$)

PGL(2,23)+ (242 isom. types) \cite{Bettenetal98b} |

4381 5-(28,7,36) (complement has $\lambda=217$)

$PSL(2,27)$ (>=1 isom. types) |

derived from number 7203 |

7203 6-(29,8,36) (complement has $\lambda=217$)

$P\Gamma L(2,27)+$ (8 isom. types) \cite{Bettenetal97b} |

7663 5-(32,7,36) (complement has $\lambda=315$)

derived from number 7661 |

7661 6-(33,8,36) (complement has $\lambda=315$)

$P\Gamma L(2,32)$ (1179 isom. types) \cite{MagliverasLeavitt84}, \cite{Schmalz93} |

3081 5-(24,8,37) (complement has $\lambda=932$)

$PGL(2,23)$ 1 isomorphism type |

1098 5-(18,8,38) (complement has $\lambda=248$)

$C_2\times PGL(2,8)$ 129 solutions |

$PSL(2,8)\times C_2$ (129 solutions) |

3085 5-(24,8,38) (complement has $\lambda=931$)

$PGL(2,23)$ 24 isomorphism types |

2823 5-(24,7,39) (complement has $\lambda=132$)

\cite{Kreheretal90} |

3089 5-(24,8,39) (complement has $\lambda=930$)

$PGL(2,23)$ 4 isomorphism types |

894 5-(15,8,40) (complement has $\lambda=80$)

supplementary design of number 893 |

326 5-(16,8,40) (complement has $\lambda=125$)

Alltop construction for design number 323 |

Alltop construction |

1105 5-(18,8,40) (complement has $\lambda=246$)

$PGL(2,16)+$ 1 isomorphism type |

\cite{MacWilliams78} |

1083 5-(18,9,40) (complement has $\lambda=675$)

Alltop construction for design number 1080 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,16)) $Hol(C_17)+$ |

1907 5-(22,7,40) (complement has $\lambda=96$)

$PSL(2,19)++$ |

$PGL(2,19)++$ 92 solutions |

$M_{11}\times C_2$ (2 isom. types) |

residual design of number 7855 |

derived from number 7856 |

1919 5-(22,8,40) (complement has $\lambda=640$)

$PSL(2,19)++$ 10 solutions |

7856 6-(23,8,40) (complement has $\lambda=96$)

residual design of number 7854 |

derived from number 7880 |

3097 5-(24,8,40) (complement has $\lambda=929$)

$PGL(2,23)$ 58 isomorphism types |

7880 7-(24,9,40) (complement has $\lambda=96$)

PGL(2,23) (113 isom. types) \cite{Bettenetal98b} |

3851 5-(25,7,40) (complement has $\lambda=150$)

TvT: 5-(24,6,4) $\cup$ 5-(24,7,36) |

3863 5-(25,8,40) (complement has $\lambda=1100$)

TvT: 5-(24,7,6) $\cup$ 5-(24,8,34) |

3101 5-(24,8,41) (complement has $\lambda=928$)

$PGL(2,23)$ 7 isomorphism types |

1112 5-(18,8,42) (complement has $\lambda=244$)

$Id_2\times PGL(2,8)$ 738 solutions |

1428 5-(19,7,42) (complement has $\lambda=49$)

Brouwer 1977/1986 |

design of number 5525 with respect to smaller t |

1511 5-(19,10,42) (complement has $\lambda=1960$)

supplementary design of number 1510 |

2827 5-(24,7,42) (complement has $\lambda=129$)

\cite{Kreheretal90} |

3105 5-(24,8,42) (complement has $\lambda=927$)

$PGL(2,23)$ 55 isomorphism types |

3613 5-(24,9,42) (complement has $\lambda=3834$)

$PSL(2,23)$ (10 isomorphism types) |

7046 5-(27,7,42) (complement has $\lambda=189$)

derived from number 7045 |

7208 5-(28,7,42) (complement has $\lambda=211$)

derived from number 7206 |

7045 6-(28,8,42) (complement has $\lambda=189$)

$P\Gamma L(2,27)$ (2 isom. types) \cite{Schmalz93} |

7206 6-(29,8,42) (complement has $\lambda=211$)

$P\Gamma L(2,27)+$ (31 isom. types) \cite{Bettenetal97b} |

5226 5-(33,7,42) (complement has $\lambda=336$)

\cite{Sebille98} $P\Gamma L(2,32)$ |

3109 5-(24,8,43) (complement has $\lambda=926$)

$PGL(2,23)$ 6 isomorphism types |

4385 5-(28,7,43) (complement has $\lambda=210$)

$PSL(2,27)$ (>=1 isom. types) |

derived from number 7216 |

7216 6-(29,8,43) (complement has $\lambda=210$)

$P\Gamma L(2,27)+$ (43 isom. types) \cite{Bettenetal97b} |

1119 5-(18,8,44) (complement has $\lambda=242$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

3117 5-(24,8,44) (complement has $\lambda=925$)

$PGL(2,23)$ 48 isomorphism types |

330 5-(16,8,45) (complement has $\lambda=120$)

Alltop construction for design number 327 |

$A_4\times D_4$ 1322 solutions |

Alltop construction |

1321 5-(18,9,45) (complement has $\lambda=670$)

\cite{Kramer75} |

Alltop construction for design number 1323 |

\cite{Brouwer86} $Hol(C_17)+$ |

5758 5-(23,7,45) (complement has $\lambda=108$)

derived from number 5756 |

design of number 7855 with respect to smaller t |

2831 5-(24,7,45) (complement has $\lambda=126$)

\cite{Kreheretal90} |

derived from number 6256 |

3121 5-(24,8,45) (complement has $\lambda=924$)

$PGL(2,23)$ 4 isomorphism types |

5756 6-(24,8,45) (complement has $\lambda=108$)

PGL(2,23) (49 isom. types) \cite{Bettenetal98b} |

design of number 7854 with respect to smaller t |

derived from number 7894 |

3895 5-(25,9,45) (complement has $\lambda=4800$)

TvT: 5-(24,8,9) $\cup$ 5-(24,9,36) |

6256 6-(25,8,45) (complement has $\lambda=126$)

PGL(2,23)+ (10008 isom. types) \cite{Bettenetal98b} |

7894 7-(25,9,45) (complement has $\lambda=108$)

(Tran van Trung construction): 7-(24,8,5) together with 7-(24,9,40) \cite{Bettenetal98b} |

1125 5-(18,8,46) (complement has $\lambda=240$)

\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types $PGL(2,16)+$ 1 isomorphism type |

3125 5-(24,8,46) (complement has $\lambda=923$)

$PGL(2,23)$ 79 isomorphism types |

13 5-(28,7,46) (complement has $\lambda=207$)

TvT: 5-(27,6,4) $\cup$ 5-(27,7,42) |

3129 5-(24,8,47) (complement has $\lambda=922$)

$PGL(2,23)$ 6 isomorphism types |

1132 5-(18,8,48) (complement has $\lambda=238$)

$C_2\times PGL(2,8)$ 465 solutions |

$PSL(2,8)\times C_2$ (465 solutions) |

\cite{Kramer75} $PGL(2,17)$ 5 isomorphism types |

7863 5-(22,7,48) (complement has $\lambda=88$)

residual design of number 7860 |

derived from number 7861 |

7861 6-(23,8,48) (complement has $\lambda=88$)

residual design of number 7859 |

derived from number 7884 |

2834 5-(24,7,48) (complement has $\lambda=123$)

\cite{Kreheretal90} |

3133 5-(24,8,48) (complement has $\lambda=921$)

$PGL(2,23)$ 217 isomorphism types |

3628 5-(24,9,48) (complement has $\lambda=3828$)

$PSL(2,23)$ (12 isomorphism types) |

2722 5-(24,12,48) (complement has $\lambda=50340$)

\cite{AssmusMattson69c} |

Alltop construction for design number 2724 |

\cite{Driessen} |

7884 7-(24,9,48) (complement has $\lambda=88$)

PGL(2,23) (>= 2827 isom. types) \cite{Bettenetal98b} |

3758 5-(25,10,48) (complement has $\lambda=15456$)

$PSL(2,23)+$ TvT construction 5-(24,9,12) $\cup$ 5-(24,10,36) |

1655 5-(19,9,49) (complement has $\lambda=952$)

TvT: 5-(18,8,14) $\cup$ 5-(18,9,35) \cite{TranvanTrung86} |

3137 5-(24,8,49) (complement has $\lambda=920$)

$PGL(2,23)$ 21 isomorphism types |

7221 5-(28,7,49) (complement has $\lambda=204$)

derived from number 7219 |

7219 6-(29,8,49) (complement has $\lambda=204$)

$P\Gamma L(2,27)+$ (479 isom. types) \cite{Bettenetal97b} |

334 5-(16,8,50) (complement has $\lambda=115$)

Alltop construction for design number 331 |

Alltop construction |

1325 5-(18,9,50) (complement has $\lambda=665$)

\cite{Kramer75} |

Alltop construction for design number 1327 |

\cite{Brouwer86} $Hol(C_17)+$ |

3141 5-(24,8,50) (complement has $\lambda=919$)

$PGL(2,23)$ 231 isomorphism types |

3853 5-(25,7,50) (complement has $\lambda=140$)

TvT: 5-(24,6,5) $\cup$ 5-(24,7,45) |

2838 5-(24,7,51) (complement has $\lambda=120$)

\cite{Kreheretal90} |

3145 5-(24,8,51) (complement has $\lambda=918$)

$PGL(2,23)$ 27 isomorphism types |

1139 5-(18,8,52) (complement has $\lambda=234$)

$PSL(2,8)\times Id_2$ (many solutions) |

3148 5-(24,8,52) (complement has $\lambda=917$)

$PGL(2,23)$ 220 isomorphism types |

3152 5-(24,8,53) (complement has $\lambda=916$)

$PGL(2,23)$ |

1145 5-(18,8,54) (complement has $\lambda=232$)

$Id_2\times PGL(2,8)$ |

5765 5-(23,7,54) (complement has $\lambda=99$)

derived from number 5763 |

design of number 7860 with respect to smaller t |

2842 5-(24,7,54) (complement has $\lambda=117$)

\cite{Kreheretal90} |

derived from number 6261 |

residual design of number 8000 |

3156 5-(24,8,54) (complement has $\lambda=915$)

$PGL(2,23)$ |

3639 5-(24,9,54) (complement has $\lambda=3822$)

$PGL(2,23)$ (1 isomorphism type) |

5763 6-(24,8,54) (complement has $\lambda=99$)

PGL(2,23) (476 isom. types) \cite{Bettenetal98b} |

design of number 7859 with respect to smaller t |

derived from number 7895 |

6261 6-(25,8,54) (complement has $\lambda=117$)

PGL(2,23)+ \cite{Bettenetal98b} |

residual design of number 7999 |

derived from number 8001 |

7895 7-(25,9,54) (complement has $\lambda=99$)

(Tran van Trung construction): 7-(24,8,6) together with 7-(24,9,48) \cite{Bettenetal98b} |

8001 7-(26,9,54) (complement has $\lambda=117$)

$P\Gamma L(2,25)$ (3989 isom. types) \cite{Bettenetal98b} |

338 5-(16,8,55) (complement has $\lambda=110$)

Alltop construction for design number 335 |

Tran van Trung construction with supplementary design for design number 893 |

Alltop construction |

1329 5-(18,9,55) (complement has $\lambda=660$)

\cite{Kramer75} |

Alltop construction for design number 1331 |

\cite{Brouwer86} $Hol(C_17)+$ |

3160 5-(24,8,55) (complement has $\lambda=914$)

$PGL(2,23)$ |

1152 5-(18,8,56) (complement has $\lambda=230$)

$C_2\times PGL(2,8)$ 1181 solutions |

1435 5-(19,8,56) (complement has $\lambda=308$)

TvT: 5-(18,7,12) $\cup$ 5-(18,8,44) \cite{TranvanTrung86} |

1670 5-(19,9,56) (complement has $\lambda=945$)

TvT: 5-(18,8,16) $\cup$ 5-(18,9,40) \cite{TranvanTrung86} |

7870 5-(22,7,56) (complement has $\lambda=80$)

residual design of number 7867 |

derived from number 7868 |

7868 6-(23,8,56) (complement has $\lambda=80$)

residual design of number 7866 |

3164 5-(24,8,56) (complement has $\lambda=913$)

$PGL(2,23)$ |

4415 5-(28,8,56) (complement has $\lambda=1715$)

Bluskov |

4795 5-(29,8,56) (complement has $\lambda=1968$)

$PGL(2,27)+$ (>=1 isom. types) #blocks = #5-subsets |

2845 5-(24,7,57) (complement has $\lambda=114$)

\cite{Kreheretal90} $PGL(2,23))$ LS[3](5,7,24) |

3168 5-(24,8,57) (complement has $\lambda=912$)

$PGL(2,23)$ |

7231 5-(28,7,57) (complement has $\lambda=196$)

derived from number 7229 |

7229 6-(29,8,57) (complement has $\lambda=196$)

$P\Gamma L(2,27)+$ (5177 isom. types) \cite{Bettenetal97b} |

3172 5-(24,8,58) (complement has $\lambda=911$)

$PGL(2,23)$ |

3176 5-(24,8,59) (complement has $\lambda=910$)

$PGL(2,23)$ |

342 5-(16,8,60) (complement has $\lambda=105$)

Alltop construction for design number 339 |

$A_4\times A_4$ |

Alltop construction |

933 5-(17,8,60) (complement has $\lambda=160$)

TvT: 5-(16,7,15) $\cup$ 5-(16,8,45) \cite{TranvanTrung86} |

1166 5-(18,8,60) (complement has $\lambda=226$)

\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types |

1333 5-(18,9,60) (complement has $\lambda=655$)

\cite{Kramer75} |

Alltop construction for design number 1335 |

\cite{Brouwer86} $Hol(C_17)+$ |

5555 5-(21,7,60) (selfcomplementary)

residual design of number 5553 |

residual design of complement of number 5553 |

derived from number 5559 |

derived from complement of number 5559 |

1911 5-(22,7,60) (complement has $\lambda=76$)

\cite{Kreher95} $PSL(2,19)++$ |

\cite{Kreher95} $PGL(2,19)++$ |

1923 5-(22,8,60) (complement has $\lambda=620$)

\cite{Kreher95} $PSL(2,19)++$ |

\cite{Kreher95} |

5559 6-(22,8,60) (selfcomplementary)

PSL(2,19)++ (1148 isom types) \cite{Kreher93}, Halving of the complete design |

2853 5-(24,7,60) (complement has $\lambda=111$)

\cite{Kreheretal90} |

3180 5-(24,8,60) (complement has $\lambda=909$)

$PGL(2,23)$ |

3646 5-(24,9,60) (complement has $\lambda=3816$)

$PGL(2,23)$ (2 isomorphism types) |

6296 5-(25,7,60) (complement has $\lambda=130$)

derived from number 6295 |

design of number 8000 with respect to smaller t |

3865 5-(25,8,60) (complement has $\lambda=1080$)

TvT: 5-(24,7,9) $\cup$ 5-(24,8,51) |

6295 6-(26,8,60) (complement has $\lambda=130$)

$P\Gamma L(2,25)$ (23 isomorphism types) \cite{Bettenetal97b} |

\cite{Sebille98} $P\Gamma L(2,25)$ |

design of number 7999 with respect to smaller t |

derived from number 8813 |

8813 7-(27,9,60) (complement has $\lambda=130$)

$P\Gamma L(2,25)+$, (Tran van Trung construction): 7-(26,8,6) together with 7-(26,9,54) \cite{Bettenetal98b} |

3183 5-(24,8,61) (complement has $\lambda=908$)

$PGL(2,23)$ |

1173 5-(18,8,62) (complement has $\lambda=224$)

$C_2\times PGL(2,8)$ 1419 solutions |

$PSL(2,8)\times C_2$ (1419 solutions) |

\cite{Kramer75} $PGL(2,17)$ 5 isomorphism types |

3187 5-(24,8,62) (complement has $\lambda=907$)

$PGL(2,23)$ |

1513 5-(20,10,63) (complement has $\lambda=2940$)

Tran van Trung construction with supplementary design for design number 1510 |

Alltop construction for design number 1512 |

\cite{Krameretal85} |

5773 5-(23,7,63) (complement has $\lambda=90$)

derived from number 5771 |

design of number 7867 with respect to smaller t |

2857 5-(24,7,63) (complement has $\lambda=108$)

\cite{Driessen78} |

derived from number 6265 |

3191 5-(24,8,63) (complement has $\lambda=906$)

$PGL(2,23)$ |

5771 6-(24,8,63) (complement has $\lambda=90$)

PGL(2,23) (1284 isom. types) \cite{Bettenetal98b} |

design of number 7866 with respect to smaller t |

6265 6-(25,8,63) (complement has $\lambda=108$)

PGL(2,23)+ \cite{Bettenetal98b} |

$AGL(2,5)^2$ |

derived from number 8003 |

3911 5-(26,10,63) (complement has $\lambda=20286$)

TvT: 5-(25,9,15) $\cup$ 5-(25,10,48) |

8003 7-(26,9,63) (complement has $\lambda=108$)

$P\Gamma L(2,25)$ (37932 isom. types) \cite{Bettenetal98b} |

46 5-(27,7,63) (complement has $\lambda=168$)

residual design of number 44 |

derived from number 7050 |

7241 5-(28,7,63) (complement has $\lambda=190$)

derived from number 7239 |

7050 6-(28,8,63) (complement has $\lambda=168$)

$P\Gamma L(2,27)$ (367 isom. types) \cite{Schmalz93} |

7239 6-(29,8,63) (complement has $\lambda=190$)

$P\Gamma L(2,27)+$ (17195 isom. types) \cite{Bettenetal97b} |

1180 5-(18,8,64) (complement has $\lambda=222$)

\cite{Kramer75} $PGL(2,17)$ 8 isomorphism types |

7877 5-(22,7,64) (complement has $\lambda=72$)

residual design of number 7874 |

derived from number 7875 |

7875 6-(23,8,64) (complement has $\lambda=72$)

residual design of number 7873 |

derived from number 7886 |

3195 5-(24,8,64) (complement has $\lambda=905$)

$PGL(2,23)$ |

7886 7-(24,9,64) (complement has $\lambda=72$)

PGL(2,23) (>= 15335 isom. types) \cite{Bettenetal98b} |

7250 5-(28,7,64) (complement has $\lambda=189$)

derived from number 7249 |

4802 5-(29,8,64) (complement has $\lambda=1960$)

$PGL(2,27)+$ (>=1 isom. types) |

7249 6-(29,8,64) (complement has $\lambda=189$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

346 5-(16,8,65) (complement has $\lambda=100$)

Alltop construction for design number 343 |

$A_4\times A_4$ |

Alltop construction |

1337 5-(18,9,65) (complement has $\lambda=650$)

\cite{Kramer75} |

Alltop construction for design number 1339 |

\cite{Brouwer86} $Hol(C_17)+$ |

9556 5-(31,7,65) (complement has $\lambda=260$)

derived from number 9551 |

9551 6-(32,8,65) (complement has $\lambda=260$)

derived from number 9549 |

9549 7-(33,9,65) (complement has $\lambda=260$)

$P\Gamma L(2,32)$ (many isomorphism types) |

1187 5-(18,8,66) (complement has $\lambda=220$)

$PSL(2,8)\times Id_2$ (many solutions) |

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

2860 5-(24,7,66) (complement has $\lambda=105$)

\cite{Kreheretal90} |

3649 5-(24,9,66) (complement has $\lambda=3810$)

$PGL(2,23)$ (2 isomorphism types) |

1915 5-(22,7,68) (selfcomplementary)

\cite{Kreher95} |

design of number 5553 with respect to smaller t |

complementary design of number 5553 with respect to smaller t |

derived from number 5658 |

derived from complement of number 5658 |

5658 6-(23,8,68) (selfcomplementary)

\cite{Kreher93} Halving of the complete design |

2864 5-(24,7,69) (complement has $\lambda=102$)

\cite{Kreheretal90} |

29 5-(28,7,69) (complement has $\lambda=184$)

derived from number 28 |

design of number 44 with respect to smaller t |

28 6-(29,8,69) (complement has $\lambda=184$)

TvT: 6-(28,7,6) $\cup$ 6-(28,8,63) |

350 5-(16,8,70) (complement has $\lambda=95$)

Alltop construction for design number 347 |

Alltop construction |

1193 5-(18,8,70) (complement has $\lambda=216$)

$C_2\times PGL(2,8)$ 12426 solutions |

$PSL(2,8)\times C_2$ (12426 solutions) |

1341 5-(18,9,70) (complement has $\lambda=645$)

\cite{Kramer75} |

Alltop construction for design number 1343 |

1787 5-(20,8,70) (complement has $\lambda=385$)

\cite{Krameretal85} $PGL(2,19)$ 3 isomorphism types |

3199 5-(24,8,70) (complement has $\lambda=899$)

$PSL(2,23)$ |

6299 5-(25,7,70) (complement has $\lambda=120$)

derived from number 6297 |

3973 5-(26,8,70) (complement has $\lambda=1260$)

$PSL(2,25)$ |

6297 6-(26,8,70) (complement has $\lambda=120$)

$P\Gamma L(2,25)$ (87 isomorphism types) \cite{Bettenetal97b} |

7256 5-(28,7,70) (complement has $\lambda=183$)

derived from number 7254 |

7254 6-(29,8,70) (complement has $\lambda=183$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

5265 5-(34,7,70) (complement has $\lambda=336$)

\cite{Sebille98} $P\Gamma L(2,16)\times C_2$ |

5780 5-(23,7,72) (complement has $\lambda=81$)

derived from number 5778 |

design of number 7874 with respect to smaller t |

2868 5-(24,7,72) (complement has $\lambda=99$)

\cite{Kreheretal90} |

derived from number 6270 |

3203 5-(24,8,72) (complement has $\lambda=897$)

$PGL(2,23)$ |

3662 5-(24,9,72) (complement has $\lambda=3804$)

$PGL(2,23)$ (7 isomorphism types) |

2611 5-(24,10,72) (complement has $\lambda=11556$)

$PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} |

5778 6-(24,8,72) (complement has $\lambda=81$)

PGL(2,23) (3069 isom. types) \cite{Bettenetal98b} |

design of number 7873 with respect to smaller t |

derived from number 7898 |

6270 6-(25,8,72) (complement has $\lambda=99$)

PGL(2,23)+ \cite{Bettenetal98b} |

7898 7-(25,9,72) (complement has $\lambda=81$)

(Tran van Trung construction): 7-(24,8,8) together with 7-(24,9,64) \cite{Bettenetal98b} |

82 5-(64,7,72) (complement has $\lambda=1639$)

$ASL(3,4)$ |

$A\Sigma L(3,4)$ many solutions |

354 5-(16,8,75) (complement has $\lambda=90$)

Alltop construction for design number 351 |

Alltop construction |

1090 5-(18,9,75) (complement has $\lambda=640$)

Alltop construction for design number 1087 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,30)) |

2871 5-(24,7,75) (complement has $\lambda=96$)

\cite{Kreheretal90} |

7656 5-(31,7,75) (complement has $\lambda=250$)

residual design of number 7653 |

5280 5-(35,7,75) (complement has $\lambda=360$)

TvT: 5-(34,6,5) $\cup$ 5-(34,7,70) |

1200 5-(18,8,76) (complement has $\lambda=210$)

$PSL(2,8)\times Id_2$ (many solutions) |

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

3207 5-(24,8,76) (complement has $\lambda=893$)

$PGL(2,23)$ |

1207 5-(18,8,78) (complement has $\lambda=208$)

\cite{Kramer75} |

\cite{Kramer75} $PGL(2,17)$ 8 isomorphism types TvT: 5-(17,7,18) $\cup$ 5-(17,8,60) \cite{TranvanTrung86} |

2875 5-(24,7,78) (complement has $\lambda=93$)

\cite{Kreheretal90} |

3680 5-(24,9,78) (complement has $\lambda=3798$)

$PGL(2,23)$ (6 isomorphism types) |

2924 5-(24,16,78) (complement has $\lambda=75504$)

\cite{Driessen} |

7266 5-(28,7,78) (complement has $\lambda=175$)

derived from number 7264 |

7264 6-(29,8,78) (complement has $\lambda=175$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

358 5-(16,8,80) (complement has $\lambda=85$)

Alltop construction for design number 355 |

Alltop construction |

940 5-(17,8,80) (complement has $\lambda=140$)

\cite{Kramer75} $PGL(2,16)$ |

1209 5-(18,8,80) (complement has $\lambda=206$)

$C_2\times PGL(2,8)$ |

\cite{Kramer75} $PGL(2,17)$ 9 isomorphism types |

1097 5-(18,9,80) (complement has $\lambda=635$)

Alltop construction for design number 1094 |

\cite{Brouwer86} $Hol(C_17)+$ |

\cite{Brouwer86} Alltop(res(5-(18,8,32)) |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

1927 5-(22,8,80) (complement has $\lambda=600$)

\cite{Kreher95} $PSL(2,19)++$ |

\cite{Kreher95} |

3211 5-(24,8,80) (complement has $\lambda=889$)

$PGL(2,23)$ |

3855 5-(25,7,80) (complement has $\lambda=110$)

TvT: 5-(24,6,8) $\cup$ 5-(24,7,72) |

9575 5-(31,7,80) (complement has $\lambda=245$)

derived from number 9570 |

9570 6-(32,8,80) (complement has $\lambda=245$)

derived from number 9568 |

9568 7-(33,9,80) (complement has $\lambda=245$)

$P\Gamma L(2,32)$ (many isomorphism types) |

2879 5-(24,7,81) (complement has $\lambda=90$)

\cite{Kreheretal90} |

derived from number 6273 |

6273 6-(25,8,81) (complement has $\lambda=90$)

PGL(2,23)+ \cite{Bettenetal98b} |

derived from number 8007 |

8007 7-(26,9,81) (complement has $\lambda=90$)

$P\Gamma L(2,25)$ (many isom. types) \cite{Bettenetal98b} |

7654 5-(32,7,81) (complement has $\lambda=270$)

design of number 7653 with respect to smaller t |

1216 5-(18,8,82) (complement has $\lambda=204$)

\cite{Kramer75} |

\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types |

1223 5-(18,8,84) (complement has $\lambda=202$)

$Id_2\times PGL(2,8)$ |

1437 5-(19,8,84) (complement has $\lambda=280$)

TvT: 5-(18,7,18) $\cup$ 5-(18,8,66) \cite{TranvanTrung86} |

2881 5-(24,7,84) (complement has $\lambda=87$)

\cite{Kreheretal90} |

3691 5-(24,9,84) (complement has $\lambda=3792$)

$PGL(2,23)$ (11 isomorphism types) |

7054 5-(27,7,84) (complement has $\lambda=147$)

derived from number 7053 |

7276 5-(28,7,84) (complement has $\lambda=169$)

derived from number 7274 |

7053 6-(28,8,84) (complement has $\lambda=147$)

$P\Gamma L(2,27)$ (21743 isom types) \cite{Schmalz93} |

4769 5-(29,7,84) (complement has $\lambda=192$)

$PGL(2,27)+$ (>=1 isom. types) |

7274 6-(29,8,84) (complement has $\lambda=169$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

1345 5-(18,9,85) (complement has $\lambda=630$)

\cite{Kramer75} |

Alltop construction for design number 1347 |

7286 5-(28,7,85) (complement has $\lambda=168$)

derived from number 7284 |

7284 6-(29,8,85) (complement has $\lambda=168$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

9595 5-(31,7,85) (complement has $\lambda=240$)

derived from number 9590 |

9590 6-(32,8,85) (complement has $\lambda=240$)

derived from number 9588 |

9588 7-(33,9,85) (complement has $\lambda=240$)

$P\Gamma L(2,32)$ (many isomorphism types) |

3215 5-(24,8,88) (complement has $\lambda=881$)

$PGL(2,23)$ |

1230 5-(18,8,90) (complement has $\lambda=196$)

$Id_2\times PGL(2,8)$ |

$PSL(2,8)\times Id_2$ (many solutions) |

1349 5-(18,9,90) (complement has $\lambda=625$)

\cite{Kramer75} |

Alltop construction for design number 1351 |

\cite{Brouwer86} $Hol(C_17)+$ |

3705 5-(24,9,90) (complement has $\lambda=3786$)

$PGL(2,23)$ (17 isomorphism types) |

3857 5-(25,7,90) (complement has $\lambda=100$)

TvT: 5-(24,6,9) $\cup$ 5-(24,7,81) |

3897 5-(25,9,90) (complement has $\lambda=4755$)

TvT: 5-(24,8,18) $\cup$ 5-(24,9,72) |

4872 5-(30,7,90) (complement has $\lambda=210$)

$PSL(2,29)$ many solutions |

7292 5-(28,7,91) (complement has $\lambda=162$)

derived from number 7290 |

7290 6-(29,8,91) (complement has $\lambda=162$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

1237 5-(18,8,92) (complement has $\lambda=194$)

\cite{Kramer75} $PGL(2,17)$ 8 isomorphism types |

3219 5-(24,8,92) (complement has $\lambda=877$)

$PGL(2,23)$ |

4397 5-(28,7,93) (complement has $\lambda=160$)

$S_8^{[2]}$ (1 isom. type) |

derived from number 10657 |

10657 6-(29,8,93) (complement has $\lambda=160$)

derived from number 10655 |

10655 7-(30,9,93) (complement has $\lambda=160$)

derived from number 10654 |

10654 8-(31,10,93) (complement has $\lambda=160$)

$PSL(3,5)$ (138 isom. types) \cite{Bettenetal98} |

1244 5-(18,8,94) (complement has $\lambda=192$)

\cite{Kramer75} $PGL(2,17)$ 9 isomorphism types |

$C_2\times PGL(2,8)$ |

$PSL(2,8)\times C_2$ (many solutions) |

1104 5-(18,9,95) (complement has $\lambda=620$)

Alltop construction for design number 1101 |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

1251 5-(18,8,96) (complement has $\lambda=190$)

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

2393 5-(23,8,96) (complement has $\lambda=720$)

TvT: 5-(22,7,16) $\cup$ 5-(22,8,80) |

3223 5-(24,8,96) (complement has $\lambda=873$)

$PGL(2,23)$ |

3712 5-(24,9,96) (complement has $\lambda=3780$)

$PGL(2,23)$ (43 isomorphism types) |

1258 5-(18,8,98) (complement has $\lambda=188$)

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

1656 5-(19,10,98) (complement has $\lambda=1904$)

supplementary design of number 1655 |

7302 5-(28,7,99) (complement has $\lambda=154$)

derived from number 7300 |

7300 6-(29,8,99) (complement has $\lambda=154$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

926 5-(17,8,100) (complement has $\lambda=120$)

TvT: 5-(16,7,25) $\cup$ 5-(16,8,75) |

1111 5-(18,9,100) (complement has $\lambda=615$)

Alltop construction for design number 1108 |

\cite{Kramer75} |

\cite{Brouwer86} $Hol(C_17)+$ |

\cite{Brouwer86} Alltop(res(5-(18,8,40)) |

\cite{Kramer75} $PGL(2,16)+$ 1 isomorphism type |

1930 5-(22,8,100) (complement has $\lambda=580$)

\cite{Kreher95} $PSL(2,19)++$ |

\cite{Kreher95} |

2928 5-(24,8,100) (complement has $\lambda=869$)

$PGL(2,23)$ |

10650 5-(28,7,100) (complement has $\lambda=153$)

derived from number 10647 |

10647 6-(29,8,100) (complement has $\lambda=153$)

derived from number 10645 |

4876 5-(30,8,100) (complement has $\lambda=2200$)

\cite{Kreher95} |

10645 7-(30,9,100) (complement has $\lambda=153$)

derived from number 10644 |

9439 5-(31,7,100) (complement has $\lambda=225$)

derived from number 9434 |

10644 8-(31,10,100) (complement has $\lambda=153$)

$PSL(3,5)$ (1658 isom. types) \cite{Bettenetal98} |

9434 6-(32,8,100) (complement has $\lambda=225$)

derived from number 9432 |

9432 7-(33,9,100) (complement has $\lambda=225$)

$P\Gamma L(2,32)$ (many isomorphism types) |

3231 5-(24,9,102) (complement has $\lambda=3774$)

$PGL(2,23)$ (38 isomorphism types) |

977 5-(18,8,104) (complement has $\lambda=182$)

$C_2\times PGL(2,8)$ |

$PSL(2,8)\times C_2$ (many solutions) |

\cite{Kramer75} |

TvT: 5-(17,7,24) $\cup$ 5-(17,8,80) \cite{TranvanTrung86} |

2932 5-(24,8,104) (complement has $\lambda=865$)

$PGL(2,23)$ |

1118 5-(18,9,105) (complement has $\lambda=610$)

Alltop construction for design number 1115 |

$PSL(2,8)\times C_2$ 48 solutions |

\cite{Kramer75} |

1439 5-(19,9,105) (complement has $\lambda=896$)

TvT: 5-(18,8,30) $\cup$ 5-(18,9,75) \cite{TranvanTrung86} |

1773 5-(20,8,105) (complement has $\lambda=350$)

TvT: 5-(19,7,21) $\cup$ 5-(19,8,84) \cite{TranvanTrung86} |

\cite{Krameretal85} $PGL(2,19)$ 64 isomorphism types |

1790 5-(20,9,105) (complement has $\lambda=1260$)

\cite{Krameretal85} $PGL(2,19)$ 1 isomorphism type |

3867 5-(25,9,105) (complement has $\lambda=4740$)

TvT: 5-(24,8,21) $\cup$ 5-(24,9,84) |

7040 5-(27,7,105) (complement has $\lambda=126$)

derived from number 7039 |

7165 5-(28,7,105) (complement has $\lambda=148$)

derived from number 7163 |

7309 5-(28,8,105) (complement has $\lambda=1666$)

derived from number 7307 |

7039 6-(28,8,105) (complement has $\lambda=126$)

$P\Gamma L(2,27)$ (38277 isom. types) \cite{Schmalz93} |

7163 6-(29,8,105) (complement has $\lambda=148$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

derived from number 9278 |

7307 6-(29,9,105) (complement has $\lambda=1666$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

9278 7-(30,9,105) (complement has $\lambda=148$)

$P\Gamma L(2,27)++$ (>= 1) \cite{Bettenetal97b} |

9456 5-(31,7,105) (complement has $\lambda=220$)

derived from number 9454 |

9454 6-(32,8,105) (complement has $\lambda=220$)

derived from number 9452 |

9452 7-(33,9,105) (complement has $\lambda=220$)

$P\Gamma L(2,32)$ (many isomorphism types) |

7174 5-(28,7,106) (complement has $\lambda=147$)

derived from number 7172 |

7172 6-(29,8,106) (complement has $\lambda=147$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

979 5-(18,8,108) (complement has $\lambda=178$)

\cite{Kramer75} $PGL(2,17)$ 12 isomorphism types |

3238 5-(24,9,108) (complement has $\lambda=3768$)

$PGL(2,23)$ (152 isomorphism types) |

2401 5-(24,10,108) (complement has $\lambda=11520$)

$PSL(2,23)$ (7 isomorphism types) \cite{KitazumeMunemasa97} |

4764 5-(29,7,108) (complement has $\lambda=168$)

$PGL(2,27)+$ (>=1 isom. types) |

derived from number 7551 |

7551 6-(30,8,108) (complement has $\lambda=168$)

$PGGL(2,27)++$ (many isom. types) |

986 5-(18,8,110) (complement has $\lambda=176$)

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types $PGL(2,16)+$ 32 isomorphism types |

1124 5-(18,9,110) (complement has $\lambda=605$)

Alltop construction for design number 1121 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,44)) |

992 5-(18,8,112) (complement has $\lambda=174$)

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

5534 5-(19,8,112) (complement has $\lambda=252$)

derived from number 5533 |

1446 5-(19,9,112) (complement has $\lambda=889$)

TvT: 5-(18,8,32) $\cup$ 5-(18,9,80) \cite{TranvanTrung86} |

1671 5-(19,10,112) (complement has $\lambda=1890$)

supplementary design of number 1670 |

5533 6-(20,9,112) (complement has $\lambda=252$)

$PSL(2,19)$ (2 isom. types) \cite{Krameretal85} |

$PSL(2,9)\times C_2$ many solutions |

$C_2\times PGL(2,9)$ 196 solutions |

2936 5-(24,8,112) (complement has $\lambda=857$)

$PGL(2,23)$ |

7184 5-(28,7,112) (complement has $\lambda=141$)

derived from number 7182 |

7182 6-(29,8,112) (complement has $\lambda=141$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

derived from number 9279 |

9279 7-(30,9,112) (complement has $\lambda=141$)

$P\Gamma L(2,27)++$ (many) \cite{Bettenetal97b} |

999 5-(18,8,114) (complement has $\lambda=172$)

\cite{Kramer75} $PGL(2,17)$ 9 isomorphism types |

3264 5-(24,9,114) (complement has $\lambda=3762$)

$PGL(2,23)$ (205 isomorphism types) |

1131 5-(18,9,115) (complement has $\lambda=600$)

Alltop construction for design number 1128 |

\cite{Brouwer86} Alltop(res(5-(18,8,46)) |

\cite{Kramer75} $PGL(2,16)+$ 1 isomorphism type |

7813 5-(18,8,116) (complement has $\lambda=170$)

derived from number 7811 |

7811 6-(19,9,116) (complement has $\lambda=170$)

derived from number 7810 |

7810 7-(20,10,116) (complement has $\lambda=170$)

PSL(2,19) (3 isom. types) \cite{Bettenetal97b} |

Alltop construction for design number 7811 |

2940 5-(24,8,116) (complement has $\lambda=853$)

$PGL(2,23)$ |

1006 5-(18,8,118) (complement has $\lambda=168$)

$C_2\times PGL(2,8)$ |

$PSL(2,8)\times C_2$ (many solutions) |

1138 5-(18,9,120) (complement has $\lambda=595$)

Alltop construction for design number 1135 |

\cite{Brouwer86} Alltop(res(5-(18,8,48)) |

\cite{Kramer75} $PGL(2,16)+$ 1 isomorphism type |

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

1934 5-(22,8,120) (complement has $\lambda=560$)

$PSL(2,19)++$ |

$S_7^{[2]}+$ (3 isom. types) |

2944 5-(24,8,120) (complement has $\lambda=849$)

$PGL(2,23)$ |

3296 5-(24,9,120) (complement has $\lambda=3756$)

$PGL(2,23)$ (326 isomorphism types) |

3869 5-(25,9,120) (complement has $\lambda=4725$)

TvT: 5-(24,8,24) $\cup$ 5-(24,9,96) |

7193 5-(28,7,120) (complement has $\lambda=133$)

derived from number 7191 |

4772 5-(29,8,120) (complement has $\lambda=1904$)

TvT: 5-(28,7,15) $\cup$ 5-(28,8,105) |

7191 6-(29,8,120) (complement has $\lambda=133$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

9466 5-(31,7,120) (complement has $\lambda=205$)

derived from number 9461 |

9461 6-(32,8,120) (complement has $\lambda=205$)

derived from number 9459 |

9459 7-(33,9,120) (complement has $\lambda=205$)

$P\Gamma L(2,32)$ (many isomorphism types) |

5460 5-(64,7,120) (complement has $\lambda=1591$)

$A\Sigma L(3,4)$ many solutions |

1013 5-(18,8,122) (complement has $\lambda=164$)

$Id_2\times PGL(2,8)$ |

1020 5-(18,8,124) (complement has $\lambda=162$)

\cite{Kramer75} $PGL(2,17)$ 15 isomorphism types |

derived from number 7818 |

7818 6-(19,9,124) (complement has $\lambda=162$)

derived from number 7817 |

7817 7-(20,10,124) (complement has $\lambda=162$)

PSL(2,19) (1 isom. type) \cite{Bettenetal97b} |

Alltop construction for design number 7818 |

1265 5-(18,9,125) (complement has $\lambda=590$)

\cite{Kramer75} |

Alltop construction for design number 1267 |

9423 5-(31,7,125) (complement has $\lambda=200$)

residual design of number 9418 |

derived from number 9419 |

9419 6-(32,8,125) (complement has $\lambda=200$)

residual design of number 9416 |

derived from number 9479 |

9479 7-(33,9,125) (complement has $\lambda=200$)

$P\Gamma L(2,32)$ (many isomorphism types) |

1027 5-(18,8,126) (complement has $\lambda=160$)

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

$C_2\times PGL(2,8)$ |

$PSL(2,8)\times C_2$ (many solutions) |

derived from number 5527 |

5527 6-(19,9,126) (complement has $\lambda=160$)

$(PSL(2,8)\times C_2)+$ (24 solutions) |

derived from number 5530 |

1693 5-(20,10,126) (complement has $\lambda=2877$)

\cite{Krameretal85} $PSL(2,19)$ 2 isomorphism types |

Alltop construction for design number 1695 |

5530 7-(20,10,126) (complement has $\lambda=160$)

Alltop construction for design number 5527 |

$(PGL(2,8)\times C_2)++$(24 solutions, 4 isomorphism types), Alltop construction from 6-(19,9,126) |

3302 5-(24,9,126) (complement has $\lambda=3750$)

$PGL(2,23)$ (>1 isomorphism types) |

2405 5-(24,10,126) (complement has $\lambda=11502$)

$PSL(2,23)$ (2 isomorphism types) \cite{KitazumeMunemasa97} |

4358 5-(28,7,126) (complement has $\lambda=127$)

$PSL(2,27)$ (many isom. types) |

derived from number 7197 |

7316 5-(28,8,126) (complement has $\lambda=1645$)

derived from number 7314 |

7197 6-(29,8,126) (complement has $\lambda=127$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

7314 6-(29,9,126) (complement has $\lambda=1645$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

5218 5-(33,7,126) (complement has $\lambda=252$)

\cite{Sebille98} $P\Gamma L(2,32)$ |

1034 5-(18,8,128) (complement has $\lambda=158$)

\cite{Kramer75} $PGL(2,17)$ 5 isomorphism types |

2948 5-(24,8,128) (complement has $\lambda=841$)

\cite{Driessen78} $M_{24}$ 1 isomorphism type |

2952 5-(24,8,129) (complement has $\lambda=840$)

\cite{Driessen78} $M_{24}$ 1 isomorphism type |

1041 5-(18,8,130) (complement has $\lambda=156$)

\cite{Kramer75} $PGL(2,17)$ 11 isomorphism types |

1144 5-(18,9,130) (complement has $\lambda=585$)

Alltop construction for design number 1141 |

\cite{Kramer75} |

\cite{Brouwer86} $Hol(C_17)+$ |

1043 5-(18,8,132) (complement has $\lambda=154$)

$Id_2\times PGL(2,8)$ |

$PSL(2,8)\times Id_2$ (many solutions) |

2956 5-(24,8,132) (complement has $\lambda=837$)

$PGL(2,23)$ |

3325 5-(24,9,132) (complement has $\lambda=3744$)

$PGL(2,23)$ (>1 isomorphism types) |

$PSL(2,23)$ |

1453 5-(19,9,133) (complement has $\lambda=868$)

TvT: 5-(18,8,38) $\cup$ 5-(18,9,95) |

7825 5-(18,8,134) (complement has $\lambda=152$)

derived from number 7823 |

7823 6-(19,9,134) (complement has $\lambda=152$)

derived from number 7822 |

7822 7-(20,10,134) (complement has $\lambda=152$)

PSL(2,19) (10 isom. types) \cite{Bettenetal97b} |

Alltop construction for design number 7823 |

934 5-(17,9,135) (complement has $\lambda=360$)

supplementary design of number 933 |

1151 5-(18,9,135) (complement has $\lambda=580$)

Alltop construction for design number 1148 |

\cite{Kramer75} $PGL(2,16)+$ 1 isomorphism type |

\cite{Kramer75} $PSL(2,17)$ 2 isomorphism types |

3871 5-(25,9,135) (complement has $\lambda=4710$)

TvT: 5-(24,8,27) $\cup$ 5-(24,9,108) |

9421 5-(32,7,135) (complement has $\lambda=216$)

derived from number 9417 |

design of number 9418 with respect to smaller t |

9417 6-(33,8,135) (complement has $\lambda=216$)

design of number 9416 with respect to smaller t |

derived from number 9609 |

9609 7-(34,9,135) (complement has $\lambda=216$)

$P\Gamma L(2,32)+$ (many isomorphism types) |

1049 5-(18,8,136) (complement has $\lambda=150$)

$C_2\times PGL(2,8)$ |

2960 5-(24,8,136) (complement has $\lambda=833$)

$PGL(2,23)$ |

3352 5-(24,9,138) (complement has $\lambda=3738$)

$PGL(2,23)$ (>1 isomorphism types) |

$PSL(2,23)$ |

7544 5-(29,7,138) (selfcomplementary)

residual design of number 7541 |

residual design of complement of number 7541 |

1063 5-(18,8,140) (complement has $\lambda=146$)

\cite{Kramer75} $PGL(2,17)$ 14 isomorphism types |

1158 5-(18,9,140) (complement has $\lambda=575$)

Alltop construction for design number 1155 |

\cite{Brouwer86} $Hol(C_17)+$ |

\cite{Kramer75} $PSL(2,17)$ 1 isomorphism type |

1431 5-(19,8,140) (complement has $\lambda=224$)

TvT: 5-(18,7,30) $\cup$ 5-(18,8,110) \cite{TranvanTrung86} |

1460 5-(19,9,140) (complement has $\lambda=861$)

Brouwer 1977/1986 |

1776 5-(20,8,140) (complement has $\lambda=315$)

\cite{Krameretal85} $PGL(2,19)$ 365 isomorphism types |

TvT: 5-(19,7,28) $\cup$ 5-(19,8,112) |

1884 5-(21,9,140) (complement has $\lambda=1680$)

TvT: 5-(20,8,35) $\cup$ 5-(20,9,105) \cite{TranvanTrung86} |

1938 5-(22,8,140) (complement has $\lambda=540$)

$PSL(2,19)++$ |

2963 5-(24,8,140) (complement has $\lambda=829$)

$PGL(2,23)$ |

9496 5-(31,7,140) (complement has $\lambda=185$)

derived from number 9491 |

9491 6-(32,8,140) (complement has $\lambda=185$)

derived from number 9489 |

5230 5-(33,8,140) (complement has $\lambda=3136$)

\cite{Sebille98} $P\Gamma L(2,32)$ |

9489 7-(33,9,140) (complement has $\lambda=185$)

$P\Gamma L(2,32)$ (many isomorphism types) |

1070 5-(18,8,142) (complement has $\lambda=144$)

\cite{Kramer75} $PGL(2,17)$ 5 isomorphism types |

2967 5-(24,8,144) (complement has $\lambda=825$)

$PGL(2,23)$ |

3375 5-(24,9,144) (complement has $\lambda=3732$)

$PGL(2,23)$ (>1 isomorphism types) |

2409 5-(24,10,144) (complement has $\lambda=11484$)

$PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (20 isomorphism types) \cite{KitazumeMunemasa97} |

3726 5-(25,10,144) (complement has $\lambda=15360$)

TvT: 5-(24,9,36) $\cup$ 5-(24,10,108) |

1269 5-(18,9,145) (complement has $\lambda=570$)

\cite{Kramer75} |

Alltop construction for design number 1271 |

9516 5-(31,7,145) (complement has $\lambda=180$)

derived from number 9511 |

9511 6-(32,8,145) (complement has $\lambda=180$)

derived from number 9509 |

9509 7-(33,9,145) (complement has $\lambda=180$)

$P\Gamma L(2,32)$ (many isomorphism types) |

$P\Gamma L(2,32)$ (many isomorphism types) |

1467 5-(19,9,147) (complement has $\lambda=854$)

TvT: 5-(18,8,42) $\cup$ 5-(18,9,105) |

1658 5-(20,10,147) (complement has $\lambda=2856$)

Tran van Trung construction with supplementary design for design number 1655 |

Alltop construction for design number 1657 |

\cite{Krameretal85} $PSL(2,19)$ 36 isomorphism types |

1172 5-(18,9,150) (complement has $\lambda=565$)

Alltop construction for design number 1169 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,60)) |

3393 5-(24,9,150) (complement has $\lambda=3726$)

$PGL(2,23)$ (>1 isomorphism types) |

3877 5-(25,9,150) (complement has $\lambda=4695$)

TvT: 5-(24,8,30) $\cup$ 5-(24,9,120) |

7542 5-(30,7,150) (selfcomplementary)

design of number 7541 with respect to smaller t |

complementary design of number 7541 with respect to smaller t |

2971 5-(24,8,152) (complement has $\lambda=817$)

$PGL(2,23)$ |

1474 5-(19,9,154) (complement has $\lambda=847$)

TvT: 5-(18,8,44) $\cup$ 5-(18,9,110) \cite{TranvanTrung86} |

7326 5-(28,8,154) (complement has $\lambda=1617$)

derived from number 7324 |

7324 6-(29,9,154) (complement has $\lambda=1617$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

1179 5-(18,9,155) (complement has $\lambda=560$)

Alltop construction for design number 1176 |

\cite{Brouwer86} Alltop(res(5-(18,8,62)) |

\cite{Kramer75} $PSL(2,17)$ 1 isomorphism type |

2975 5-(24,8,156) (complement has $\lambda=813$)

$PGL(2,23)$ |

3420 5-(24,9,156) (complement has $\lambda=3720$)

$PGL(2,23)$ (>1 isomorphism types) |

1186 5-(18,9,160) (complement has $\lambda=555$)

Alltop construction for design number 1183 |

\cite{Brouwer86} Alltop(res(5-(18,8,64)) |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

\cite{Kramer75} $PSL(2,17)$ 1 isomorphism type |

1942 5-(22,8,160) (complement has $\lambda=520$)

$PSL(2,19)++$ |

residual design of number 7849 |

2983 5-(24,8,160) (complement has $\lambda=809$)

$PGL(2,23)$ |

3859 5-(25,8,160) (complement has $\lambda=980$)

TvT: 5-(24,7,24) $\cup$ 5-(24,8,136) |

9536 5-(31,7,160) (complement has $\lambda=165$)

derived from number 9531 |

9531 6-(32,8,160) (complement has $\lambda=165$)

derived from number 9529 |

9529 7-(33,9,160) (complement has $\lambda=165$)

$P\Gamma L(2,32)$ (many isomorphism types) |

1478 5-(19,9,161) (complement has $\lambda=840$)

TvT: 5-(18,8,46) $\cup$ 5-(18,9,115) \cite{TranvanTrung86} |

2413 5-(24,10,162) (complement has $\lambda=11466$)

$PSL(2,23)$ (28 isomorphism types) \cite{KitazumeMunemasa97} |

2987 5-(24,8,164) (complement has $\lambda=805$)

$PGL(2,23)$ |

1192 5-(18,9,165) (complement has $\lambda=550$)

Alltop construction for design number 1189 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,66)) |

5338 5-(36,7,165) (complement has $\lambda=300$)

$S_9^{[2]}$ (>=1 isom. types) |

1433 5-(19,8,168) (complement has $\lambda=196$)

TvT: 5-(18,7,36) $\cup$ 5-(18,8,132) |

1485 5-(19,9,168) (complement has $\lambda=833$)

TvT: 5-(18,8,48) $\cup$ 5-(18,9,120) \cite{TranvanTrung86} |

1673 5-(20,10,168) (complement has $\lambda=2835$)

Tran van Trung construction with supplementary design for design number 1670 |

Alltop construction for design number 1672 |

\cite{Krameretal85} $PSL(2,19)$ 1 isomorphism type |

2991 5-(24,8,168) (complement has $\lambda=801$)

$PGL(2,23)$ |

3728 5-(25,10,168) (complement has $\lambda=15336$)

TvT: 5-(24,9,42) $\cup$ 5-(24,10,126) |

5222 5-(33,7,168) (complement has $\lambda=210$)

\cite{Sebille98} $P\Gamma L(2,32)$ |

1273 5-(18,9,170) (complement has $\lambda=545$)

\cite{Brouwer86} $Hol(C_17)+$ |

Alltop construction for design number 1275 |

9619 5-(32,7,171) (complement has $\lambda=180$)

derived from number 9615 |

9615 6-(33,8,171) (complement has $\lambda=180$)

derived from number 9613 |

9613 7-(34,9,171) (complement has $\lambda=180$)

$P\Gamma L(2,32)+$ (many isomorphism types) |

1199 5-(18,9,175) (complement has $\lambda=540$)

Alltop construction for design number 1196 |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

1779 5-(20,8,175) (complement has $\lambda=280$)

\cite{Krameretal85} $PGL(2,19)$ 343 isomorphism types |

2998 5-(24,8,176) (complement has $\lambda=793$)

$PGL(2,23)$ |

4775 5-(29,8,176) (complement has $\lambda=1848$)

TvT: 5-(28,7,22) $\cup$ 5-(28,8,154) |

5341 5-(37,7,176) (complement has $\lambda=320$)

TvT: 5-(36,6,11) $\cup$ 5-(36,7,165) |

941 5-(17,9,180) (complement has $\lambda=315$)

supplementary design of number 940 |

1277 5-(18,9,180) (complement has $\lambda=535$)

$PSL(2,17)$ 5 isomorphism types |

Alltop construction for design number 1279 |

\cite{Kramer75} |

\cite{Brouwer86} $Hol(C_17)+$ |

1946 5-(22,8,180) (complement has $\lambda=500$)

$PSL(2,19)++$ |

3517 5-(24,9,180) (complement has $\lambda=3696$)

$PGL(2,23)$ (>1 isomorphism types) |

2433 5-(24,10,180) (complement has $\lambda=11448$)

$PSL(2,23)$ (45 isomorphism types) \cite{KitazumeMunemasa97} |

\cite{Driessen78} |

6302 5-(25,8,180) (complement has $\lambda=960$)

derived from number 6301 |

3879 5-(25,9,180) (complement has $\lambda=4665$)

TvT: 5-(24,8,36) $\cup$ 5-(24,9,144) |

6301 6-(26,9,180) (complement has $\lambda=960$)

$PSL(2,25)$ |

1489 5-(19,9,182) (complement has $\lambda=819$)

TvT: 5-(18,8,52) $\cup$ 5-(18,9,130) |

3006 5-(24,8,184) (complement has $\lambda=785$)

$PGL(2,23)$ |

1281 5-(18,9,185) (complement has $\lambda=530$)

$PSL(2,17)$ 1 isomorphism type |

Alltop construction for design number 1283 |

\cite{Kramer75} |

1496 5-(19,9,189) (complement has $\lambda=812$)

TvT: 5-(18,8,54) $\cup$ 5-(18,9,135) |

1713 5-(20,10,189) (complement has $\lambda=2814$)

\cite{Krameretal85} |

Alltop construction for design number 1715 |

3901 5-(26,10,189) (complement has $\lambda=20160$)

TvT: 5-(25,9,45) $\cup$ 5-(25,10,144) |

1206 5-(18,9,190) (complement has $\lambda=525$)

Alltop construction for design number 1203 |

$PSL(2,8)\times C_2$ many isomorphism types |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,76)) |

5750 5-(23,8,192) (complement has $\lambda=624$)

residual design of number 5747 |

design of number 7849 with respect to smaller t |

3730 5-(25,10,192) (complement has $\lambda=15312$)

TvT: 5-(24,9,48) $\cup$ 5-(24,10,144) |

5464 5-(64,7,192) (complement has $\lambda=1519$)

$A\Sigma L(3,4)$ many solutions |

936 5-(18,9,195) (complement has $\lambda=520$)

Tran van Trung construction with supplementary design for design number 933 |

Alltop construction for design number 935 |

\cite{Kramer75} |

TvT: 5-(17,8,60) $\cup$ 5-(17,9,135) \cite{TranvanTrung86} |

\cite{Brouwer86} Alltop(res(5-(18,8,78)) |

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

3881 5-(25,9,195) (complement has $\lambda=4650$)

TvT: 5-(24,8,39) $\cup$ 5-(24,9,156) |

1503 5-(19,9,196) (complement has $\lambda=805$)

TvT: 5-(18,8,56) $\cup$ 5-(18,9,140) |

5268 5-(34,7,196) (complement has $\lambda=210$)

$PGL(2,16)\times C_2$ |

2437 5-(24,10,198) (complement has $\lambda=11430$)

$PSL(2,23)$ (100 isomorphism types) \cite{KitazumeMunemasa97} |

1215 5-(18,9,200) (complement has $\lambda=515$)

Alltop construction for design number 1212 |

\cite{Brouwer86} Alltop(res(5-(18,8,80)) |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

1949 5-(22,8,200) (complement has $\lambda=480$)

$PSL(2,19)++$ |

residual design of number 7856 |

derived from number 7882 |

7882 6-(23,9,200) (complement has $\lambda=480$)

residual design of number 7880 |

3018 5-(24,8,200) (complement has $\lambda=769$)

$PGL(2,23)$ |

4880 5-(30,8,200) (complement has $\lambda=2100$)

TvT: 5-(29,7,24) $\cup$ 5-(29,8,176) |

6253 5-(24,8,204) (complement has $\lambda=765$)

residual design of number 6251 |

1222 5-(18,9,205) (complement has $\lambda=510$)

Alltop construction for design number 1219 |

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

\cite{Brouwer86} Alltop(res(5-(18,8,82)) |

1229 5-(18,9,210) (complement has $\lambda=505$)

Alltop construction for design number 1226 |

$PSL(2,17)$ 1 isomorphism type |

$PSL(2,8)\times C_2$ many isomorphism types |

\cite{Kramer75} |

\cite{Brouwer86} $Hol(C_17)+$ |

1517 5-(19,9,210) (complement has $\lambda=791$)

TvT: 5-(18,8,60) $\cup$ 5-(18,9,150) \cite{TranvanTrung86} |

1440 5-(19,10,210) (complement has $\lambda=1792$)

supplementary design of number 1439 |

1781 5-(20,8,210) (complement has $\lambda=245$)

\cite{Krameretal85} $PGL(2,19)$ 644 isomorphism types |

1792 5-(20,9,210) (complement has $\lambda=1155$)

TvT: 5-(19,8,56) $\cup$ 5-(19,9,154) \cite{TranvanTrung86} |

1717 5-(20,10,210) (complement has $\lambda=2793$)

\cite{Krameretal85} $PSL(2,19)$ 101 isomorphism types |

Alltop construction for design number 1719 |

1967 5-(22,9,210) (complement has $\lambda=2170$)

\cite{Kreher95} $PSL(2,19)++$ |

\cite{Kreher95} |

3585 5-(24,9,210) (complement has $\lambda=3666$)

$PGL(2,23)$ (>1 isomorphism types) |

3956 5-(26,8,210) (complement has $\lambda=1120$)

$PSL(2,25)$ |

1285 5-(18,9,215) (complement has $\lambda=500$)

$PSL(2,17)$ 2 isomorphism types |

Alltop construction for design number 1287 |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

10957 5-(23,8,216) (complement has $\lambda=600$)

TvT: 5-(22,7,36) $\cup$ 5-(22,8,180) |

2448 5-(24,10,216) (complement has $\lambda=11412$)

$PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (185 isomorphism types) \cite{KitazumeMunemasa97} |

3732 5-(25,10,216) (complement has $\lambda=15288$)

$PSL(2,23)+$ TvT construction 5-(24,9,54) $\cup$ 5-(24,10,162) |

1524 5-(19,9,217) (complement has $\lambda=784$)

TvT: 5-(18,8,62) $\cup$ 5-(18,9,155) \cite{TranvanTrung86} |

1289 5-(18,9,220) (complement has $\lambda=495$)

$PSL(2,17)$ 9 isomorphism types |

Alltop construction for design number 1291 |

\cite{Brouwer86} $Hol(C_17)+$ |

\cite{Kramer75} $PGL(2,16)+$ 1 isomorphism type |

1952 5-(22,8,220) (complement has $\lambda=460$)

$PSL(2,19)++$ |

4814 5-(30,12,220) (complement has $\lambda=480480$)

\cite{MacWilliamsetal78} |

1528 5-(19,9,224) (complement has $\lambda=777$)

TvT: 5-(18,8,64) $\cup$ 5-(18,9,160) \cite{TranvanTrung86} |

1447 5-(19,10,224) (complement has $\lambda=1778$)

supplementary design of number 1446 |

927 5-(17,9,225) (complement has $\lambda=270$)

supplementary design of number 926 |

1236 5-(18,9,225) (complement has $\lambda=490$)

Alltop construction for design number 1233 |

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

3891 5-(25,9,225) (complement has $\lambda=4620$)

TvT: 5-(24,8,45) $\cup$ 5-(24,9,180) |

5748 5-(24,8,228) (complement has $\lambda=741$)

design of number 5747 with respect to smaller t |

1243 5-(18,9,230) (complement has $\lambda=485$)

Alltop construction for design number 1240 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,92)) |

1532 5-(19,9,231) (complement has $\lambda=770$)

TvT: 5-(18,8,66) $\cup$ 5-(18,9,165) \cite{TranvanTrung86} |

1721 5-(20,10,231) (complement has $\lambda=2772$)

\cite{Krameretal85} $PSL(2,19)$ 56 isomorphism types |

Alltop construction for design number 1723 |

2452 5-(24,10,234) (complement has $\lambda=11394$)

$PSL(2,23)$ (248 isomorphism types) \cite{KitazumeMunemasa97} |

1250 5-(18,9,235) (complement has $\lambda=480$)

Alltop construction for design number 1247 |

\cite{Brouwer86} Alltop(res(5-(18,8,94)) |

\cite{Kramer75} $PGL(2,16)+$ 1 isomorphism type |

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

1257 5-(18,9,240) (complement has $\lambda=475$)

Alltop construction for design number 1254 |

$PSL(2,17)$ 1 isomorphism type |

\cite{Brouwer86} Alltop(res(5-(18,8,96)) |

\cite{Kramer75} $PGL(2,16)+$ 4 isomorphism types |

1956 5-(22,8,240) (complement has $\lambda=440$)

$PSL(2,19)++$ |

derived from number 7831 |

residual design of number 7861 |

5759 5-(23,8,240) (complement has $\lambda=576$)

residual design of number 5756 |

design of number 7856 with respect to smaller t |

derived from number 7881 |

7831 6-(23,9,240) (complement has $\lambda=440$)

derived from number 7829 |

residual design of number 7884 |

3588 5-(24,9,240) (complement has $\lambda=3636$)

$PSL(2,23)$ (>1 isomorphism types) |

7881 6-(24,9,240) (complement has $\lambda=576$)

design of number 7880 with respect to smaller t |

residual design of number 7894 |

7829 7-(24,10,240) (complement has $\lambda=440$)

PGL(2,23) (>= 76 isom. types) \cite{Bettenetal97b} |

6252 5-(25,8,240) (complement has $\lambda=900$)

design of number 6251 with respect to smaller t |

derived from number 6306 |

3734 5-(25,10,240) (complement has $\lambda=15264$)

$PSL(2,23)+$ TvT construction 5-(24,9,60) $\cup$ 5-(24,10,180) |

6306 6-(26,9,240) (complement has $\lambda=900$)

$PSL(2,25)$ |

derived from number 8009 |

8009 7-(27,10,240) (complement has $\lambda=900$)

$P\Gamma L(2,25)+$ \cite{Bettenetal97b} |

5468 5-(64,7,240) (complement has $\lambda=1471$)

$A\Sigma L(3,4)$ many solutions |

1264 5-(18,9,245) (complement has $\lambda=470$)

Alltop construction for design number 1261 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,98)) |

1536 5-(19,9,245) (complement has $\lambda=756$)

TvT: 5-(18,8,70) $\cup$ 5-(18,9,175) |

7724 5-(37,7,248) (selfcomplementary)

residual design of number 7721 |

residual design of complement of number 7721 |

derived from number 7731 |

derived from complement of number 7731 |

7731 6-(38,8,248) (selfcomplementary)

\cite{Ajoodani94} using 6_(22,7,7) and 6_(22,8,60) |

1293 5-(18,9,250) (complement has $\lambda=465$)

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

Alltop construction for design number 1295 |

\cite{Brouwer86} $Hol(C_17)+$ |

1725 5-(20,10,252) (complement has $\lambda=2751$)

\cite{Krameretal85} $PGL(2,19)$ 6 isomorphism types |

Alltop construction for design number 1727 |

2261 5-(22,11,252) (complement has $\lambda=12124$)

$PGL(2,19)++$ 2 solutions |

Alltop construction for design number 2263 |

3589 5-(24,9,252) (complement has $\lambda=3624$)

$PGL(2,23)$ (>1 isomorphism types) |

2456 5-(24,10,252) (complement has $\lambda=11376$)

$PSL(2,23)$ (689 isomorphism types) \cite{KitazumeMunemasa97} |

7204 5-(28,8,252) (complement has $\lambda=1519$)

residual design of number 7203 |

derived from number 7331 |

7331 6-(29,9,252) (complement has $\lambda=1519$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

1297 5-(18,9,255) (complement has $\lambda=460$)

\cite{Kramer75} $PGL(2,16)+$ 4 isomorphism types |

Alltop construction for design number 1299 |

\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types |

6258 5-(24,8,255) (complement has $\lambda=714$)

residual design of number 6256 |

3591 5-(24,9,258) (complement has $\lambda=3618$)

$PSL(2,23)$ (>1 isomorphism types) |

943 5-(18,9,260) (complement has $\lambda=455$)

Tran van Trung construction with supplementary design for design number 940 |

Alltop construction for design number 942 |

TvT: 5-(17,8,80) $\cup$ 5-(17,9,180) \cite{TranvanTrung86} |

\cite{Brouwer86} $Hol(C_17)+$ |

\cite{Brouwer86} Alltop(res(5-(18,8,104)) |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

3593 5-(24,9,264) (complement has $\lambda=3612$)

$PGL(2,23)$ (>1 isomorphism types) |

3736 5-(25,10,264) (complement has $\lambda=15240$)

$PSL(2,23)+$ TvT construction 5-(24,9,66) $\cup$ 5-(24,10,198) |

7722 5-(38,7,264) (selfcomplementary)

design of number 7721 with respect to smaller t |

complementary design of number 7721 with respect to smaller t |

derived from number 7737 |

derived from complement of number 7737 |

7737 6-(39,8,264) (selfcomplementary)

(6-(23+16m,8,4(m+1)(16m+17) m=1) \cite{Kreher93} |

1301 5-(18,9,265) (complement has $\lambda=450$)

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

Alltop construction for design number 1303 |

1543 5-(19,9,266) (complement has $\lambda=735$)

TvT: 5-(18,8,76) $\cup$ 5-(18,9,190) \cite{TranvanTrung86} |

1454 5-(19,10,266) (complement has $\lambda=1736$)

supplementary design of number 1453 |

985 5-(18,9,270) (complement has $\lambda=445$)

Alltop construction for design number 982 |

\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types |

\cite{Brouwer86} Alltop(res(5-(18,8,108)) |

2395 5-(23,9,270) (complement has $\lambda=2790$)

TvT: 5-(22,8,60) $\cup$ 5-(22,9,210) |

2464 5-(24,10,270) (complement has $\lambda=11358$)

$PSL(2,23)$ (691 isomorphism types) \cite{KitazumeMunemasa97} |

1547 5-(19,9,273) (complement has $\lambda=728$)

TvT: 5-(18,8,78) $\cup$ 5-(18,9,195) \cite{TranvanTrung86} |

1729 5-(20,10,273) (complement has $\lambda=2730$)

\cite{Krameretal85} $PSL(2,19)$ 818 isomorphism types |

Alltop construction for design number 1731 |

5451 5-(48,7,273) (complement has $\lambda=630$)

$PSL(2,47)$ |

991 5-(18,9,275) (complement has $\lambda=440$)

Alltop construction for design number 988 |

$PSL(2,17)$ 9 isomorphism types |

\cite{Brouwer86} Alltop(res(5-(18,8,110)) |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

998 5-(18,9,280) (complement has $\lambda=435$)

Alltop construction for design number 995 |

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

\cite{Brouwer86} Alltop(res(5-(18,8,112)) |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

1551 5-(19,9,280) (complement has $\lambda=721$)

TvT: 5-(18,8,80) $\cup$ 5-(18,9,200) \cite{TranvanTrung86} |

1461 5-(19,10,280) (complement has $\lambda=1722$)

supplementary design of number 1460 |

5560 5-(21,8,280) (selfcomplementary)

residual design of number 5559 |

residual design of complement of number 5559 |

derived from number 5561 |

derived from complement of number 5561 |

1886 5-(21,9,280) (complement has $\lambda=1540$)

TvT: 5-(20,8,70) $\cup$ 5-(20,9,210) \cite{TranvanTrung86} |

1960 5-(22,8,280) (complement has $\lambda=400$)

$PSL(2,19)++$ |

residual design of number 7868 |

1970 5-(22,9,280) (complement has $\lambda=2100$)

$PSL(2,19)++$ |

2265 5-(22,11,280) (complement has $\lambda=12096$)

\cite{Kreher95} $PGL(2,19)++$ 4 solutions |

Alltop construction for design number 2267 |

5561 6-(22,9,280) (selfcomplementary)

$(PSL(3,2)\times S_3)+$ Halving of the complete design |

3958 5-(26,8,280) (complement has $\lambda=1050$)

TvT: 5-(25,7,40) $\cup$ 5-(25,8,240) |

7047 5-(27,8,280) (complement has $\lambda=1260$)

residual design of number 7045 |

4778 5-(29,8,280) (complement has $\lambda=1744$)

$PGL(2,27)+$ (>=1 isom. types) |

3596 5-(24,9,282) (complement has $\lambda=3594$)

$PGL(2,23)$ (>1 isomorphism types) |

1005 5-(18,9,285) (complement has $\lambda=430$)

Alltop construction for design number 1002 |

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

\cite{Brouwer86} Alltop(res(5-(18,8,114)) |

5757 5-(24,8,285) (complement has $\lambda=684$)

design of number 5756 with respect to smaller t |

derived from number 6275 |

6275 6-(25,9,285) (complement has $\lambda=684$)

\cite{Sebille98} $ AGL(2,5)$ |

design of number 7894 with respect to smaller t |

5454 5-(49,7,286) (complement has $\lambda=660$)

TvT: 5-(48,6,13) $\cup$ 5-(48,7,273) |

1558 5-(19,9,287) (complement has $\lambda=714$)

TvT: 5-(18,8,82) $\cup$ 5-(18,9,205) \cite{TranvanTrung86} |

5766 5-(23,8,288) (complement has $\lambda=528$)

residual design of number 5763 |

design of number 7861 with respect to smaller t |

derived from number 7885 |

3054 5-(24,8,288) (complement has $\lambda=681$)

$M_{11}_{12}\times id_2$ |

2468 5-(24,10,288) (complement has $\lambda=11340$)

$PGL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (1783 isomorphism types) \cite{KitazumeMunemasa97} |

7885 6-(24,9,288) (complement has $\lambda=528$)

design of number 7884 with respect to smaller t |

derived from number 7888 |

residual design of number 7895 |

3738 5-(25,10,288) (complement has $\lambda=15216$)

$PSL(2,23)+$ TvT construction 5-(24,9,72) $\cup$ 5-(24,10,216) |

7888 7-(25,10,288) (complement has $\lambda=528$)

(Tran van Trung construction): 7-(24,9,48) together with 7-(24,10,240) \cite{Bettenetal97b} |

4781 5-(29,8,288) (complement has $\lambda=1736$)

$PGL(2,27)+$ (>=1 isom. types) |

design of number 7203 with respect to smaller t |

derived from number 7555 |

7555 6-(30,9,288) (complement has $\lambda=1736$)

(Tran van Trung construction): 6-(29,8,36) together with 6-(29,9,252) \cite{Bettenetal97b} |

364 5-(18,9,290) (complement has $\lambda=425$)

Alltop construction for design number 361 |

Alltop construction |

residual design of number 7811 |

derived from number 7812 |

7812 6-(19,10,290) (complement has $\lambda=425$)

residual design of number 7810 |

supplementary design of number 7811 |

1562 5-(19,9,294) (complement has $\lambda=707$)

TvT: 5-(18,8,84) $\cup$ 5-(18,9,210) |

1468 5-(19,10,294) (complement has $\lambda=1708$)

supplementary design of number 1467 |

1733 5-(20,10,294) (complement has $\lambda=2709$)

\cite{Krameretal85} |

Alltop construction for design number 1735 |

7209 5-(28,8,294) (complement has $\lambda=1477$)

residual design of number 7206 |

derived from number 7337 |

7337 6-(29,9,294) (complement has $\lambda=1477$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

283 5-(49,7,294) (complement has $\lambda=652$)

$AGL(2,7)$ |

1012 5-(18,9,295) (complement has $\lambda=420$)

Alltop construction for design number 1009 |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types |

1309 5-(18,9,300) (complement has $\lambda=415$)

\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |

Alltop construction for design number 1311 |

\cite{Brouwer86} $Hol(C_17)+$ |

6257 5-(25,8,300) (complement has $\lambda=840$)

design of number 6256 with respect to smaller t |

829 5-(25,9,300) (complement has $\lambda=4545$)

TvT: 5-(24,8,60) $\cup$ 5-(24,9,240) |

7643 5-(30,8,300) (complement has $\lambda=2000$)

derived from number 7641 |

7641 6-(31,9,300) (complement has $\lambda=2000$)

$PGL(3,5)$ (56 isom. types) |

7664 5-(32,8,300) (complement has $\lambda=2625$)

residual design of number 7661 |

7217 5-(28,8,301) (complement has $\lambda=1470$)

residual design of number 7216 |

1019 5-(18,9,305) (complement has $\lambda=410$)

Alltop construction for design number 1016 |

$PSL(2,17)$ 6 isomorphism types |

\cite{Kramer75} |

6263 5-(24,8,306) (complement has $\lambda=663$)

residual design of number 6261 |

derived from number 8002 |

3599 5-(24,9,306) (complement has $\lambda=3570$)

$PGL(2,23)$ (>1 isomorphism types) |

2476 5-(24,10,306) (complement has $\lambda=11322$)

$PSL(2,23)$ (2038 isomorphism types) \cite{KitazumeMunemasa97} |

8002 6-(25,9,306) (complement has $\lambda=663$)

residual design of number 8001 |

86 5-(42,7,306) (complement has $\lambda=360$)

$PSL(3,4) \times C_2$ 3 solutions |

5535 5-(19,9,308) (complement has $\lambda=693$)

residual design of number 5533 |

1353 5-(19,10,308) (complement has $\lambda=1694$)

TvT: 5-(18,9,110) $\cup$ 5-(18,10,198) \cite{TranvanTrung86} |

supplementary design of number 1474 |

1999 5-(22,10,308) (complement has $\lambda=5880$)

$PGL(2,19)++$ 5 solutions |

1026 5-(18,9,310) (complement has $\lambda=405$)

Alltop construction for design number 1023 |

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

\cite{Brouwer86} Alltop(res(5-(18,8,124)) |

residual design of number 7818 |

derived from number 7819 |

7819 6-(19,10,310) (complement has $\lambda=405$)

residual design of number 7817 |

supplementary design of number 7818 |

3602 5-(24,9,312) (complement has $\lambda=3564$)

$PSL(2,23)$ (>1 isomorphism types) |

3740 5-(25,10,312) (complement has $\lambda=15192$)

$PSL(2,23)+$ TvT construction 5-(24,9,78) $\cup$ 5-(24,10,234) |

1033 5-(18,9,315) (complement has $\lambda=400$)

Alltop construction for design number 1030 |

\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types |

\cite{Brouwer86} Alltop(res(5-(18,8,126)) |

residual design of number 5527 |

derived from number 5528 |

1569 5-(19,9,315) (complement has $\lambda=686$)

TvT: 5-(18,8,90) $\cup$ 5-(18,9,225) |

5528 6-(19,10,315) (complement has $\lambda=400$)

supplementary design of number 5527 |

residual design of number 5530 |

1794 5-(20,9,315) (complement has $\lambda=1050$)

\cite{Krameretal85} $PGL(2,19)$ 555 isomorphism types |

derived from number 5576 |

1442 5-(20,10,315) (complement has $\lambda=2688$)

Tran van Trung construction with supplementary design for design number 1439 |

Alltop construction for design number 1441 |

\cite{Krameretal85} $PGL(2,19)$ 6 isomorphism types |

5576 6-(21,10,315) (complement has $\lambda=1050$)

derived from number 5575 |

5575 7-(22,11,315) (complement has $\lambda=1050$)

$PGL(2,19)++$ 1 solution = 1 isomorphism type |

Alltop construction for design number 5576 |

PGL(2,19)++ 1 isom. type |

3893 5-(25,9,315) (complement has $\lambda=4530$)

TvT: 5-(24,8,63) $\cup$ 5-(24,9,252) |

3980 5-(26,9,315) (complement has $\lambda=5670$)

$PGL(2,25)$ |

287 5-(49,7,316) (complement has $\lambda=630$)

$AGL(2,7)$ |

5472 5-(64,7,316) (complement has $\lambda=1395$)

$A\Sigma L(3,4)$ many solutions |

1040 5-(18,9,320) (complement has $\lambda=395$)

Alltop construction for design number 1037 |

$PSL(2,17)$ 9 isomorphism types |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,128)) |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

7844 5-(22,8,320) (complement has $\lambda=360$)

derived from number 7839 |

residual design of number 7875 |

7839 6-(23,9,320) (complement has $\lambda=360$)

derived from number 7837 |

residual design of number 7886 |

7837 7-(24,10,320) (complement has $\lambda=360$)

PGL(2,23) (>= 2 isom. types) \cite{Bettenetal97b} |

1576 5-(19,9,322) (complement has $\lambda=679$)

TvT: 5-(18,8,92) $\cup$ 5-(18,9,230) \cite{TranvanTrung86} |

1479 5-(19,10,322) (complement has $\lambda=1680$)

supplementary design of number 1478 |

4401 5-(28,8,322) (complement has $\lambda=1449$)

Bluskov |

design of number 7045 with respect to smaller t |

derived from number 7343 |

7343 6-(29,9,322) (complement has $\lambda=1449$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

6280 5-(24,8,324) (complement has $\lambda=645$)

derived from number 6278 |

2480 5-(24,10,324) (complement has $\lambda=11304$)

$PGL(2,23)$ (2 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (3716 isomorphism types) \cite{KitazumeMunemasa97} |

6278 6-(25,9,324) (complement has $\lambda=645$)

\cite{Sebille98} $ AGL(2,5)$ |

929 5-(18,9,325) (complement has $\lambda=390$)

Tran van Trung construction with supplementary design for design number 926 |

Alltop construction for design number 928 |

\cite{Kramer75} |

\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types |

1580 5-(19,9,329) (complement has $\lambda=672$)

TvT: 5-(18,8,94) $\cup$ 5-(18,9,235) \cite{TranvanTrung86} |

1048 5-(18,9,330) (complement has $\lambda=385$)

Alltop construction for design number 1045 |

\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types |

\cite{Kramer75} |

\cite{Brouwer86} $Hol(C_17)+$ |

1313 5-(18,9,335) (complement has $\lambda=380$)

$PSL(2,17)$ 4 isomorphism types |

Alltop construction for design number 1315 |

\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types |

residual design of number 7823 |

derived from number 7824 |

7824 6-(19,10,335) (complement has $\lambda=380$)

residual design of number 7822 |

supplementary design of number 7823 |

1584 5-(19,9,336) (complement has $\lambda=665$)

TvT: 5-(18,8,96) $\cup$ 5-(18,9,240) \cite{TranvanTrung86} |

1356 5-(19,10,336) (complement has $\lambda=1666$)

TvT: 5-(18,9,120) $\cup$ 5-(18,10,216) \cite{TranvanTrung86} |

supplementary design of number 1485 |

1449 5-(20,10,336) (complement has $\lambda=2667$)

Tran van Trung construction with supplementary design for design number 1446 |

Alltop construction for design number 1448 |

\cite{Krameretal85} $PSL(2,19)$ 89638 isomorphism types |

$PSL(3,4)$ |

1826 5-(21,10,336) (complement has $\lambda=4032$)

$PSL(3,4)$ 1 isomorphism type |

\cite{Kramer84} $PSL(2,19)+$ 9040 solutions |

TvT: 5-(20,9,105) $\cup$ 5-(20,10,231) \cite{TranvanTrung86} |

95 5-(22,11,336) (complement has $\lambda=12040$)

Alltop construction for design number 92 |

$PSL(3,4)+$ 3 isomorphism types |

\cite{Kreher95} |

PSL(3,4)+ Alltop construction from 4-(21,10,336) |

5774 5-(23,8,336) (complement has $\lambda=480$)

residual design of number 5771 |

design of number 7868 with respect to smaller t |

2676 5-(24,11,336) (complement has $\lambda=26796$)

\cite{Bluskov} |

3742 5-(25,10,336) (complement has $\lambda=15168$)

$PSL(2,23)+$ TvT construction 5-(24,9,84) $\cup$ 5-(24,10,252) |

7207 5-(29,8,336) (complement has $\lambda=1688$)

design of number 7206 with respect to smaller t |

derived from number 7558 |

7558 6-(30,9,336) (complement has $\lambda=1688$)

(Tran van Trung construction): 6-(29,8,42) together with 6-(29,9,294) \cite{Bettenetal97b} |

7662 5-(33,8,336) (complement has $\lambda=2940$)

design of number 7661 with respect to smaller t |

1055 5-(18,9,340) (complement has $\lambda=375$)

Alltop construction for design number 1052 |

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

\cite{Kramer75} $PGL(2,16)+$ 4 isomorphism types |

1964 5-(22,8,340) (selfcomplementary)

\cite{Kreher95} $PSL(2,19)++$ |

design of number 5559 with respect to smaller t |

complementary design of number 5559 with respect to smaller t |

residual design of number 5658 |

residual design of complement of number 5658 |

derived from number 5660 |

derived from complement of number 5660 |

5660 6-(23,9,340) (selfcomplementary)

derived 7-(24,10,340) Halving of the complete design |

derived from number 7846 |

derived from complement of number 7846 |

7846 7-(24,10,340) (selfcomplementary)

PSL(2,23) (>= 1 isom. types) halving \cite{Laue98} |

5764 5-(24,8,342) (complement has $\lambda=627$)

design of number 5763 with respect to smaller t |

derived from number 7896 |

3604 5-(24,9,342) (complement has $\lambda=3534$)

$PGL(2,23)$ (>1 isomorphism types) |

2484 5-(24,10,342) (complement has $\lambda=11286$)

$PSL(2,23)$ (4929 isomorphism types) \cite{KitazumeMunemasa97} |

7896 6-(25,9,342) (complement has $\lambda=627$)

design of number 7895 with respect to smaller t |

derived from number 7901 |

7901 7-(26,10,342) (complement has $\lambda=627$)

(Tran van Trung construction): 7-(25,9,54) together with 7-(25,10,288) \cite{Bettenetal97b} |

1588 5-(19,9,343) (complement has $\lambda=658$)

TvT: 5-(18,8,98) $\cup$ 5-(18,9,245) \cite{TranvanTrung86} |

7222 5-(28,8,343) (complement has $\lambda=1428$)

residual design of number 7219 |

4784 5-(29,8,344) (complement has $\lambda=1680$)

$PGL(2,27)+$ (>=1 isom. types) |

design of number 7216 with respect to smaller t |

1317 5-(18,9,345) (complement has $\lambda=370$)

\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types |

Alltop construction for design number 1319 |

\cite{Kramer75} |

1069 5-(18,9,350) (complement has $\lambda=365$)

Alltop construction for design number 1066 |

$PSL(2,17)$ 2 isomorphism types |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,140)) |

5565 5-(21,9,350) (complement has $\lambda=1470$)

derived from number 5563 |

5563 6-(22,10,350) (complement has $\lambda=1470$)

$PSL(2,19)++$ |

3961 5-(26,8,350) (complement has $\lambda=980$)

TvT: 5-(25,7,50) $\cup$ 5-(25,8,300) |

1076 5-(18,9,355) (complement has $\lambda=360$)

Alltop construction for design number 1073 |

\cite{Kramer75} |

\cite{Brouwer86} Alltop(res(5-(18,8,142)) |

\cite{Kramer75} $PGL(2,16)+$ 4 isomorphism types |

\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types |

1737 5-(20,10,357) (complement has $\lambda=2646$)

\cite{Krameretal85} $PGL(2,19)$ 25 isomorphism types |

Alltop construction for design number 1739 |

6267 5-(24,8,357) (complement has $\lambda=612$)

residual design of number 6265 |

derived from number 8004 |

8004 6-(25,9,357) (complement has $\lambda=612$)

residual design of number 8003 |

10958 5-(23,9,360) (complement has $\lambda=2700$)

TvT: 5-(22,8,80) $\cup$ 5-(22,9,280) |

2492 5-(24,10,360) (complement has $\lambda=11268$)

$PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (8211 isomorphism types) \cite{KitazumeMunemasa97} |

6262 5-(25,8,360) (complement has $\lambda=780$)

design of number 6261 with respect to smaller t |

residual design of number 6295 |

derived from number 6309 |

3744 5-(25,10,360) (complement has $\lambda=15144$)

$PSL(2,23)+$ TvT construction 5-(24,9,90) $\cup$ 5-(24,10,270) |

6309 6-(26,9,360) (complement has $\lambda=780$)

$PSL(2,25)$ |

design of number 8001 with respect to smaller t |

residual design of number 8813 |

1592 5-(19,9,364) (complement has $\lambda=637$)

TvT: 5-(18,8,104) $\cup$ 5-(18,9,260) \cite{TranvanTrung86} |

1490 5-(19,10,364) (complement has $\lambda=1638$)

supplementary design of number 1489 |

2269 5-(22,11,364) (complement has $\lambda=12012$)

$PGL(2,19)++$ 2 solutions |

Alltop construction for design number 2271 |

5476 5-(64,7,364) (complement has $\lambda=1347$)

$A\Sigma L(3,4)$ many solutions |

5025 5-(32,8,365) (complement has $\lambda=2560$)

$AGL(4,2)\times C_2$ 4 solutions |

40 5-(29,8,368) (complement has $\lambda=1656$)

TvT: 5-(28,7,46) $\cup$ 5-(28,8,322) |

3609 5-(24,9,372) (complement has $\lambda=3504$)

$PGL(2,23)$ (>1 isomorphism types) |

1599 5-(19,9,378) (complement has $\lambda=623$)

TvT: 5-(18,8,108) $\cup$ 5-(18,9,270) \cite{TranvanTrung86} |

1497 5-(19,10,378) (complement has $\lambda=1624$)

supplementary design of number 1496 |

1741 5-(20,10,378) (complement has $\lambda=2625$)

\cite{Krameretal85} |

Alltop construction for design number 1743 |

\cite{Krameretal85} $PGL(2,19)$ 13 isomorphism types |

2006 5-(22,10,378) (complement has $\lambda=5810$)

$PGL(2,19)++$ 126 solutions |

2496 5-(24,10,378) (complement has $\lambda=11250$)

$PSL(2,23)$ (9082 isomorphism types) \cite{KitazumeMunemasa97} |

3903 5-(26,10,378) (complement has $\lambda=19971$)

TvT: 5-(25,9,90) $\cup$ 5-(25,10,288) |

5781 5-(23,8,384) (complement has $\lambda=432$)

residual design of number 5778 |

design of number 7875 with respect to smaller t |

derived from number 7887 |

7887 6-(24,9,384) (complement has $\lambda=432$)

design of number 7886 with respect to smaller t |

derived from number 7891 |

residual design of number 7898 |

3746 5-(25,10,384) (complement has $\lambda=15120$)

$PSL(2,23)+$ TvT construction 5-(24,9,96) $\cup$ 5-(24,10,288) |

7891 7-(25,10,384) (complement has $\lambda=432$)

(Tran van Trung construction): 7-(24,9,64) together with 7-(24,10,320) \cite{Bettenetal97b} |

1603 5-(19,9,385) (complement has $\lambda=616$)

TvT: 5-(18,8,110) $\cup$ 5-(18,9,275) \cite{TranvanTrung86} |

4142 5-(27,9,385) (complement has $\lambda=6930$)

TvT: 5-(26,8,70) $\cup$ 5-(26,9,315) |

5480 5-(64,7,388) (complement has $\lambda=1323$)

$A\Sigma L(3,4)$ many solutions |

1607 5-(19,9,392) (complement has $\lambda=609$)

TvT: 5-(18,8,112) $\cup$ 5-(18,9,280) \cite{TranvanTrung86} |

1504 5-(19,10,392) (complement has $\lambda=1610$)

supplementary design of number 1503 |

2013 5-(22,10,392) (complement has $\lambda=5796$)

$PGL(2,19)++$ 425 solutions |

7220 5-(29,8,392) (complement has $\lambda=1632$)

design of number 7219 with respect to smaller t |

3093 5-(24,8,393) (complement has $\lambda=576$)

$M_{11}_{12}\times id_2$ |

2500 5-(24,10,396) (complement has $\lambda=11232$)

$PGL(2,23)$ (2 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (15526 isomorphism types) \cite{KitazumeMunemasa97} |

1611 5-(19,9,399) (complement has $\lambda=602$)

TvT: 5-(18,8,114) $\cup$ 5-(18,9,285) \cite{TranvanTrung86} |

1456 5-(20,10,399) (complement has $\lambda=2604$)

Tran van Trung construction with supplementary design for design number 1453 |

Alltop construction for design number 1455 |

\cite{Krameretal85} |

5772 5-(24,8,399) (complement has $\lambda=570$)

design of number 5771 with respect to smaller t |

7232 5-(28,8,399) (complement has $\lambda=1372$)

residual design of number 7229 |

5029 5-(32,8,400) (complement has $\lambda=2525$)

$AGL(4,2)\times C_2$ 8 solutions |

5033 5-(32,8,405) (complement has $\lambda=2520$)

$AGL(4,2)\times C_2$ 1 solution |

5540 5-(19,9,406) (complement has $\lambda=595$)

derived from number 5539 |

design of number 7811 with respect to smaller t |

5539 6-(20,10,406) (complement has $\lambda=595$)

$PSL(2,19)$ 7 isomorphism types |

design of number 7810 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 7811 |

7350 5-(28,8,406) (complement has $\lambda=1365$)

derived from number 7348 |

7348 6-(29,9,406) (complement has $\lambda=1365$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

5659 5-(23,8,408) (selfcomplementary)

design of number 5658 with respect to smaller t |

complementary design of number 5658 with respect to smaller t |

derived from number 5787 |

derived from complement of number 5787 |

6272 5-(24,8,408) (complement has $\lambda=561$)

residual design of number 6270 |

5787 6-(24,9,408) (selfcomplementary)

TvT: 6-(23,8,68) $\cup$ 6-(23,9,340) Halving of the complete design |

3748 5-(25,10,408) (complement has $\lambda=15096$)

TvT: 5-(24,9,102) $\cup$ 5-(24,10,306) |

5484 5-(64,7,408) (complement has $\lambda=1303$)

$ASL(3,4)$ many solutions |

1615 5-(19,9,413) (complement has $\lambda=588$)

TvT: 5-(18,8,118) $\cup$ 5-(18,9,295) |

2504 5-(24,10,414) (complement has $\lambda=11214$)

$PSL(2,23)$ (14714 isomorphism types) \cite{KitazumeMunemasa97} |

3750 5-(25,10,418) (complement has $\lambda=15086$)

$PSL(2,23)+$ TvT construction 5-(24,9,102) $\cup$ 5-(24,10,306) |

1518 5-(19,10,420) (complement has $\lambda=1582$)

supplementary design of number 1517 |

1796 5-(20,9,420) (complement has $\lambda=945$)

\cite{Krameretal85} $PGL(2,19)$ |

design of number 5533 with respect to smaller t |

1463 5-(20,10,420) (complement has $\lambda=2583$)

Tran van Trung construction with supplementary design for design number 1460 |

Alltop construction for design number 1462 |

\cite{Krameretal85} $PGL(2,19)$ 104 isomorphism types |

1888 5-(21,9,420) (complement has $\lambda=1400$)

TvT: 5-(20,8,105) $\cup$ 5-(20,9,315) \cite{TranvanTrung86} |

1973 5-(22,9,420) (complement has $\lambda=1960$)

$PSL(2,19)++$ |

2020 5-(22,10,420) (complement has $\lambda=5768$)

$PGL(2,19)++$ 183 solutions |

6266 5-(25,8,420) (complement has $\lambda=720$)

design of number 6265 with respect to smaller t |

residual design of number 6297 |

derived from number 6314 |

3964 5-(26,8,420) (complement has $\lambda=910$)

$PSL(2,25)$ |

design of number 6295 with respect to smaller t |

derived from number 8814 |

6314 6-(26,9,420) (complement has $\lambda=720$)

$PSL(2,25)$ |

design of number 8003 with respect to smaller t |

7051 5-(27,8,420) (complement has $\lambda=1120$)

residual design of number 7050 |

derived from number 9182 |

8814 6-(27,9,420) (complement has $\lambda=910$)

design of number 8813 with respect to smaller t |

9182 6-(28,9,420) (complement has $\lambda=1120$)

derived from number 9180 |

9180 7-(29,10,420) (complement has $\lambda=1120$)

$P\Gamma L(2,27)+$ (>= 1 isom. types) \cite{Bettenetal97b} |

5037 5-(32,8,420) (complement has $\lambda=2505$)

$AGL(4,2)\times C_2$ 6 solutions |

5041 5-(32,8,425) (complement has $\lambda=2500$)

$AGL(4,2)\times C_2$ 5 solutions |

1622 5-(19,9,427) (complement has $\lambda=574$)

TvT: 5-(18,8,122) $\cup$ 5-(18,9,305) |

3113 5-(24,8,432) (complement has $\lambda=537$)

$M_{11}_{12}\times id_2$ |

derived from number 10488 |

3616 5-(24,9,432) (complement has $\lambda=3444$)

$PGL(2,23)$ (>1 isomorphism types) |

2508 5-(24,10,432) (complement has $\lambda=11196$)

$PGL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (23725 isomorphism types) \cite{KitazumeMunemasa97} |

3754 5-(25,10,432) (complement has $\lambda=15072$)

$PSL(2,23)+$ TvT construction 5-(24,9,108) $\cup$ 5-(24,10,324) |

10488 6-(25,9,432) (complement has $\lambda=537$)

derived from number 10486 |

10486 7-(26,10,432) (complement has $\lambda=537$)

derived from number 10485 |

10485 8-(27,11,432) (complement has $\lambda=537$)

$ASL(3,3)$ (1 isom. type) |

5545 5-(19,9,434) (complement has $\lambda=567$)

derived from number 5544 |

design of number 7818 with respect to smaller t |

1359 5-(19,10,434) (complement has $\lambda=1568$)

TvT: 5-(18,9,155) $\cup$ 5-(18,10,279) \cite{TranvanTrung86} |

supplementary design of number 1524 |

5544 6-(20,10,434) (complement has $\lambda=567$)

$PSL(2,19)$ 1 isomorphism type |

design of number 7817 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 7818 |

5045 5-(32,8,440) (complement has $\lambda=2485$)

$AGL(4,2)\times C_2$ 2 solutions |

1629 5-(19,9,441) (complement has $\lambda=560$)

TvT: 5-(18,8,126) $\cup$ 5-(18,9,315) \cite{TranvanTrung86} |

design of number 5527 with respect to smaller t |

derived from number 5529 |

1470 5-(20,10,441) (complement has $\lambda=2562$)

Tran van Trung construction with supplementary design for design number 1467 |

Alltop construction for design number 1469 |

\cite{Krameretal85} $PGL(2,19)$ 72 isomorphism types |

5529 6-(20,10,441) (complement has $\lambda=560$)

Tran van Trung construction with supplementary design for design number 5527 |

design of number 5530 with respect to smaller t |

$PSL(2,19)$ 4 isomorphism types |

3905 5-(26,10,441) (complement has $\lambda=19908$)

TvT: 5-(25,9,105) $\cup$ 5-(25,10,336) |

7242 5-(28,8,441) (complement has $\lambda=1330$)

residual design of number 7239 |

3620 5-(24,9,444) (complement has $\lambda=3432$)

$PGL(2,23)$ (>1 isomorphism types) |

1633 5-(19,9,448) (complement has $\lambda=553$)

TvT: 5-(18,8,128) $\cup$ 5-(18,9,320) \cite{TranvanTrung86} |

1362 5-(19,10,448) (complement has $\lambda=1554$)

TvT: 5-(18,9,160) $\cup$ 5-(18,10,288) \cite{TranvanTrung86} |

supplementary design of number 1528 |

99 5-(22,11,448) (complement has $\lambda=11928$)

Alltop construction for design number 96 |

\cite{Kreher95} $PSL(3,4)+$ 1 isomorphism type, Alltop construction from 4-(21,10,448) |

7251 5-(28,8,448) (complement has $\lambda=1323$)

residual design of number 7249 |

derived from number 7358 |

4787 5-(29,8,448) (complement has $\lambda=1576$)

$PGL(2,27)+$ (>=1 isom. types) |

7358 6-(29,9,448) (complement has $\lambda=1323$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

2512 5-(24,10,450) (complement has $\lambda=11178$)

$PSL(2,23)$ (21430 isomorphism types) \cite{KitazumeMunemasa97} |

1637 5-(19,9,455) (complement has $\lambda=546$)

TvT: 5-(18,8,130) $\cup$ 5-(18,9,325) \cite{TranvanTrung86} |

4403 5-(28,8,455) (complement has $\lambda=1316$)

$A_8^{[2]}$ (>=1 isom. types) |

5779 5-(24,8,456) (complement has $\lambda=513$)

design of number 5778 with respect to smaller t |

derived from number 7899 |

10993 5-(24,9,456) (complement has $\lambda=3420$)

TvT: 5-(23,8,96) $\cup$ 5-(23,9,360) |

3756 5-(25,10,456) (complement has $\lambda=15048$)

$PSL(2,23)+$ TvT construction 5-(24,9,114) $\cup$ 5-(24,10,342) |

7899 6-(25,9,456) (complement has $\lambda=513$)

design of number 7898 with respect to smaller t |

derived from number 7903 |

7903 7-(26,10,456) (complement has $\lambda=513$)

(Tran van Trung construction): 7-(25,9,72) together with 7-(25,10,384) \cite{Bettenetal97b} |

7230 5-(29,8,456) (complement has $\lambda=1568$)

design of number 7229 with respect to smaller t |

5488 5-(64,7,456) (complement has $\lambda=1255$)

$ASL(3,4)$ many solutions |

6274 5-(24,8,459) (complement has $\lambda=510$)

residual design of number 6273 |

derived from number 8008 |

8008 6-(25,9,459) (complement has $\lambda=510$)

residual design of number 8007 |

5049 5-(32,8,460) (complement has $\lambda=2465$)

$AGL(4,2)\times C_2$ 37 solutions |

1641 5-(19,9,462) (complement has $\lambda=539$)

TvT: 5-(18,8,132) $\cup$ 5-(18,9,330) |

1365 5-(19,10,462) (complement has $\lambda=1540$)

TvT: 5-(18,9,165) $\cup$ 5-(18,10,297) \cite{TranvanTrung86} |

supplementary design of number 1532 |

1476 5-(20,10,462) (complement has $\lambda=2541$)

Tran van Trung construction with supplementary design for design number 1474 |

Alltop construction for design number 1475 |

\cite{Krameretal85} $PSL(2,19)$ |

\cite{TranvanTrung86} |

2027 5-(22,10,462) (complement has $\lambda=5726$)

$PGL(2,19)++$ 48 solutions |

5053 5-(32,8,465) (complement has $\lambda=2460$)

$AGL(4,2)\times C_2$ 12 solutions |

3624 5-(24,9,468) (complement has $\lambda=3408$)

$PGL(2,23)$ (>1 isomorphism types) |

2516 5-(24,10,468) (complement has $\lambda=11160$)

$PSL(2,23)$ (30825 isomorphism types) \cite{KitazumeMunemasa97} |

5549 5-(19,9,469) (complement has $\lambda=532$)

derived from number 5548 |

design of number 7823 with respect to smaller t |

5548 6-(20,10,469) (complement has $\lambda=532$)

$PSL(2,19)$ 56 isomorphism types |

design of number 7822 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 7823 |

7363 5-(28,8,469) (complement has $\lambda=1302$)

derived from number 7361 |

7361 6-(29,9,469) (complement has $\lambda=1302$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

1648 5-(19,9,476) (complement has $\lambda=525$)

TvT: 5-(18,8,136) $\cup$ 5-(18,9,340) |

2034 5-(22,10,476) (complement has $\lambda=5712$)

\cite{Kreher95} $PGL(2,19)++$ 10 solutions |

TvT: 5-(21,9,140) $\cup$ 5-(21,10,336) |

4407 5-(28,8,476) (complement has $\lambda=1295$)

$A_8^{[2]}$ (>=1 isom. types) |

6271 5-(25,8,480) (complement has $\lambda=660$)

design of number 6270 with respect to smaller t |

3760 5-(25,10,480) (complement has $\lambda=15024$)

TvT: 5-(24,9,120) $\cup$ 5-(24,10,360) |

3802 5-(25,11,480) (complement has $\lambda=38280$)

TvT: 5-(24,10,144) $\cup$ 5-(24,11,336) |

9287 5-(29,8,480) (complement has $\lambda=1544$)

derived from number 9282 |

9282 6-(30,9,480) (complement has $\lambda=1544$)

derived from number 9280 |

9280 7-(31,10,480) (complement has $\lambda=1544$)

$PSL(3,5)$ ( >=1 isom. types) |

1481 5-(20,10,483) (complement has $\lambda=2520$)

Tran van Trung construction with supplementary design for design number 1478 |

Alltop construction for design number 1480 |

\cite{Krameretal85} $PGL(2,19)$ 173 isomorphism types |

30 5-(28,8,483) (complement has $\lambda=1288$)

residual design of number 28 |

Bluskov |

design of number 7050 with respect to smaller t |

derived from number 7371 |

7371 6-(29,9,483) (complement has $\lambda=1288$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

2520 5-(24,10,486) (complement has $\lambda=11142$)

$PSL(2,23)$ (26361 isomorphism types) \cite{KitazumeMunemasa97} |

1662 5-(19,9,490) (complement has $\lambda=511$)

TvT: 5-(18,8,140) $\cup$ 5-(18,9,350) \cite{TranvanTrung86} |

1537 5-(19,10,490) (complement has $\lambda=1512$)

supplementary design of number 1536 |

1976 5-(22,9,490) (complement has $\lambda=1890$)

$PSL(2,19)++$ |

6298 5-(26,8,490) (complement has $\lambda=840$)

design of number 6297 with respect to smaller t |

derived from number 6831 |

6831 6-(27,9,490) (complement has $\lambda=840$)

TvT: 6-(26,8,70) $\cup$ 6-(26,9,420) |

\cite{Sebille98} $P\Gamma L(2,25)$ |

7257 5-(28,8,490) (complement has $\lambda=1281$)

residual design of number 7254 |

3631 5-(24,9,492) (complement has $\lambda=3384$)

$PSL(2,23)$ |

1666 5-(19,9,497) (complement has $\lambda=504$)

TvT: 5-(18,8,142) $\cup$ 5-(18,9,355) \cite{TranvanTrung86} |

5057 5-(32,8,500) (complement has $\lambda=2425$)

$AGL(4,2)\times C_2$ 118 solutions |

1487 5-(20,10,504) (complement has $\lambda=2499$)

Tran van Trung construction with supplementary design for design number 1485 |

Alltop construction for design number 1486 |

\cite{Krameretal85} |

\cite{TranvanTrung86} |

2273 5-(22,11,504) (complement has $\lambda=11872$)

$PGL(2,19)++$ |

Alltop construction for design number 2275 |

3635 5-(24,9,504) (complement has $\lambda=3372$)

$PGL(2,23)$ (>1 isomorphism types) |

2524 5-(24,10,504) (complement has $\lambda=11124$)

$PGL(2,23)$ (6 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (42919 isomorphism types) \cite{KitazumeMunemasa97} |

3762 5-(25,10,504) (complement has $\lambda=15000$)

TvT: 5-(24,9,126) $\cup$ 5-(24,10,378) |

3907 5-(26,10,504) (complement has $\lambda=19845$)

TvT: 5-(25,9,120) $\cup$ 5-(25,10,384) |

7374 5-(28,8,504) (complement has $\lambda=1267$)

derived from number 7372 |

7240 5-(29,8,504) (complement has $\lambda=1520$)

design of number 7239 with respect to smaller t |

7372 6-(29,9,504) (complement has $\lambda=1267$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

5061 5-(32,8,505) (complement has $\lambda=2420$)

$AGL(4,2)\times C_2$ 95 solutions |

4411 5-(28,8,511) (complement has $\lambda=1260$)

$A_8^{[2]}$ (>=1 isom. types) |

4791 5-(29,8,512) (complement has $\lambda=1512$)

$PGL(2,27)+$ (>=1 isom. types) |

design of number 7249 with respect to smaller t |

derived from number 7561 |

7561 6-(30,9,512) (complement has $\lambda=1512$)

(Tran van Trung construction): 6-(29,8,64) together with 6-(29,9,448) \cite{Bettenetal97b} |

2036 5-(22,10,518) (complement has $\lambda=5670$)

$PGL(2,19)++$ 1535 solutions |

9557 5-(31,8,520) (complement has $\lambda=2080$)

residual design of number 9551 |

derived from number 9552 |

9552 6-(32,9,520) (complement has $\lambda=2080$)

residual design of number 9549 |

7814 5-(18,10,522) (complement has $\lambda=765$)

residual design of number 7812 |

2528 5-(24,10,522) (complement has $\lambda=11106$)

$PSL(2,23)$ (27825 isomorphism types) \cite{KitazumeMunemasa97} |

1798 5-(20,9,525) (complement has $\lambda=840$)

TvT: 5-(19,8,140) $\cup$ 5-(19,9,385) \cite{TranvanTrung86} |

TvT: 5-(19,8,140) $\cup$ 5-(19,9,385) \cite{TranvanTrung86} |

\cite{TranvanTrung86} |

1745 5-(20,10,525) (complement has $\lambda=2478$)

\cite{Krameretal85} $PSL(2,19)$ |

Alltop construction for design number 1747 |

7310 5-(28,9,525) (complement has $\lambda=8330$)

residual design of number 7307 |

5065 5-(32,8,525) (complement has $\lambda=2400$)

$AGL(4,2)\times C_2$ 6 solutions |

3764 5-(25,10,528) (complement has $\lambda=14976$)

TvT: 5-(24,9,132) $\cup$ 5-(24,10,396) |

5492 5-(64,7,528) (complement has $\lambda=1183$)

$ASL(3,4)$ many solutions |

1368 5-(19,10,532) (complement has $\lambda=1470$)

TvT: 5-(18,9,190) $\cup$ 5-(18,10,342) \cite{TranvanTrung86} |

supplementary design of number 1543 |

7380 5-(28,8,532) (complement has $\lambda=1239$)

derived from number 7378 |

7378 6-(29,9,532) (complement has $\lambda=1239$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

10825 5-(23,9,540) (complement has $\lambda=2520$)

TvT: 5-(22,8,120) $\cup$ 5-(22,9,420) |

2536 5-(24,10,540) (complement has $\lambda=11088$)

$PSL(2,23)$ (52255 isomorphism types) \cite{KitazumeMunemasa97} |

\cite{Driessen78} |

276 5-(25,8,540) (complement has $\lambda=600$)

derived from number 274 |

design of number 6273 with respect to smaller t |

8019 5-(25,9,540) (complement has $\lambda=4305$)

derived from number 8017 |

3983 5-(26,9,540) (complement has $\lambda=5445$)

$PGL(2,25)$ |

274 6-(26,9,540) (complement has $\lambda=600$)

derived from number 273 |

$PSL(2,25)$ |

design of number 8007 with respect to smaller t |

8017 6-(26,10,540) (complement has $\lambda=4305$)

derived from number 8016 |

273 7-(27,10,540) (complement has $\lambda=600$)

$ASL(3,3)^{13}$ |

$P\Gamma L(2,25)+$ \cite{Bettenetal97b} |

8016 7-(27,11,540) (complement has $\lambda=4305$)

$ASL(3,3)$ 1 isomorphism type |

5069 5-(32,8,540) (complement has $\lambda=2385$)

$AGL(4,2)\times C_2$ 174 solutions |

5073 5-(32,8,545) (complement has $\lambda=2380$)

$AGL(4,2)\times C_2$ 70 solutions |

1371 5-(19,10,546) (complement has $\lambda=1456$)

TvT: 5-(18,9,195) $\cup$ 5-(18,10,351) \cite{TranvanTrung86} |

supplementary design of number 1547 |

1492 5-(20,10,546) (complement has $\lambda=2457$)

Tran van Trung construction with supplementary design for design number 1489 |

Alltop construction for design number 1491 |

\cite{Krameretal85} $PGL(2,19)$ 307 isomorphism types |

2043 5-(22,10,546) (complement has $\lambda=5642$)

$PGL(2,19)++$ |

7267 5-(28,8,546) (complement has $\lambda=1225$)

residual design of number 7264 |

3766 5-(25,10,552) (complement has $\lambda=14952$)

TvT: 5-(24,9,138) $\cup$ 5-(24,10,414) |

16 5-(29,8,552) (complement has $\lambda=1472$)

TvT: 5-(28,7,69) $\cup$ 5-(28,8,483) |

design of number 28 with respect to smaller t |

derived from number 34 |

34 6-(30,9,552) (complement has $\lambda=1472$)

TvT: 6-(29,8,69) $\cup$ 6-(29,9,483) |

7820 5-(18,10,558) (complement has $\lambda=729$)

residual design of number 7819 |

2556 5-(24,10,558) (complement has $\lambda=11070$)

$PSL(2,23)$ (27210 isomorphism types) \cite{KitazumeMunemasa97} |

1552 5-(19,10,560) (complement has $\lambda=1442$)

supplementary design of number 1551 |

1890 5-(21,9,560) (complement has $\lambda=1260$)

TvT: 5-(20,8,140) $\cup$ 5-(20,9,420) |

2049 5-(22,10,560) (complement has $\lambda=5628$)

$PGL(2,19)++$ |

3968 5-(26,8,560) (complement has $\lambda=770$)

$PSL(2,25)$ |

TvT: 5-(25,7,80) $\cup$ 5-(25,8,480) |

7055 5-(27,8,560) (complement has $\lambda=980$)

residual design of number 7053 |

4418 5-(28,8,560) (complement has $\lambda=1211$)

$A_8^{[2]}$ (>=1 isom. types) |

7255 5-(29,8,560) (complement has $\lambda=1464$)

design of number 7254 with respect to smaller t |

5077 5-(32,8,560) (complement has $\lambda=2365$)

$AGL(4,2)\times C_2$ 343 solutions |

10472 5-(38,8,560) (complement has $\lambda=4896$)

derived from number 10467 |

10467 6-(39,9,560) (complement has $\lambda=4896$)

derived from number 10465 |

10465 7-(40,10,560) (complement has $\lambda=4896$)

$PSL(4,3)$ (many isomorphism types) |

5081 5-(32,8,565) (complement has $\lambda=2360$)

$AGL(4,2)\times C_2$ 190 solutions |

5531 5-(18,10,567) (complement has $\lambda=720$)

residual design of number 5528 |

1499 5-(20,10,567) (complement has $\lambda=2436$)

Tran van Trung construction with supplementary design for design number 1496 |

Alltop construction for design number 1498 |

\cite{Krameretal85} $PGL(2,19)$ 567 isomorphism types |

3909 5-(26,10,567) (complement has $\lambda=19782$)

TvT: 5-(25,9,135) $\cup$ 5-(25,10,432) |

4798 5-(29,8,568) (complement has $\lambda=1456$)

$PGL(2,27)+$ (>=1 isom. types) |

1374 5-(19,10,574) (complement has $\lambda=1428$)

TvT: 5-(18,9,205) $\cup$ 5-(18,10,369) \cite{TranvanTrung86} |

supplementary design of number 1558 |

2572 5-(24,10,576) (complement has $\lambda=11052$)

$PGL(2,23)$ (6 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (41169 isomorphism types) \cite{KitazumeMunemasa97} |

2726 5-(24,12,576) (complement has $\lambda=49812$)

$PSL(2,23)$ (1 isomorphism type) \cite{AssmusMattson69c} |

Alltop construction for design number 2728 |

3768 5-(25,10,576) (complement has $\lambda=14928$)

TvT: 5-(24,9,144) $\cup$ 5-(24,10,432) |

5496 5-(64,7,576) (complement has $\lambda=1135$)

$ASL(3,4)$ many solutions |

5085 5-(32,8,580) (complement has $\lambda=2345$)

$AGL(4,2)\times C_2$ 165 solutions |

9554 5-(32,8,585) (complement has $\lambda=2340$)

derived from number 9550 |

design of number 9551 with respect to smaller t |

9550 6-(33,9,585) (complement has $\lambda=2340$)

design of number 9549 with respect to smaller t |

1563 5-(19,10,588) (complement has $\lambda=1414$)

supplementary design of number 1562 |

1506 5-(20,10,588) (complement has $\lambda=2415$)

Tran van Trung construction with supplementary design for design number 1503 |

Alltop construction for design number 1505 |

\cite{Krameretal85} $PSL(2,19)$ |

2056 5-(22,10,588) (complement has $\lambda=5600$)

$PGL(2,19)++$ |

7277 5-(28,8,588) (complement has $\lambda=1183$)

residual design of number 7274 |

2583 5-(24,10,594) (complement has $\lambda=11034$)

$PSL(2,23)$ (23963 isomorphism types) \cite{KitazumeMunemasa97} |

4422 5-(28,8,595) (complement has $\lambda=1176$)

$A_8^{[2]}$ (>=1 isom. types) |

residual design of number 7284 |

derived from number 7384 |

7384 6-(29,9,595) (complement has $\lambda=1176$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

3770 5-(25,10,600) (complement has $\lambda=14904$)

TvT: 5-(24,9,150) $\cup$ 5-(24,10,450) |

9351 5-(31,8,600) (complement has $\lambda=2000$)

derived from number 9346 |

5089 5-(32,8,600) (complement has $\lambda=2325$)

$AGL(4,2)\times C_2$ 897 solutions |

9346 6-(32,9,600) (complement has $\lambda=2000$)

derived from number 9344 |

9344 7-(33,10,600) (complement has $\lambda=2000$)

$P\Gamma L(2,32)$ (many isomorphism types) |

2063 5-(22,10,602) (complement has $\lambda=5586$)

$PGL(2,19)++$ |

7826 5-(18,10,603) (complement has $\lambda=684$)

residual design of number 7824 |

5093 5-(32,8,605) (complement has $\lambda=2320$)

$AGL(4,2)\times C_2$ 4638 solutions |

1749 5-(20,10,609) (complement has $\lambda=2394$)

\cite{Krameretal85} |

Alltop construction for design number 1751 |

2587 5-(24,10,612) (complement has $\lambda=11016$)

$PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (26131 isomorphism types) \cite{KitazumeMunemasa97} |

5537 5-(19,10,616) (complement has $\lambda=1386$)

supplementary design of number 5535 |

1827 5-(21,11,616) (complement has $\lambda=7392$)

supplementary design of number 1826 |

2005 5-(22,11,616) (complement has $\lambda=11760$)

Alltop construction for design number 2002 |

4426 5-(28,8,616) (complement has $\lambda=1155$)

$A_8^{[2]}$ (>=1 isom. types) |

2681 5-(24,12,624) (complement has $\lambda=49764$)

Alltop construction for design number 2678 |

3772 5-(25,10,624) (complement has $\lambda=14880$)

TvT: 5-(24,9,156) $\cup$ 5-(24,10,468) |

7265 5-(29,8,624) (complement has $\lambda=1400$)

design of number 7264 with respect to smaller t |

1570 5-(19,10,630) (complement has $\lambda=1372$)

supplementary design of number 1569 |

1800 5-(20,9,630) (complement has $\lambda=735$)

\cite{Krameretal85} $PGL(2,19)$ |

derived from number 5581 |

1520 5-(20,10,630) (complement has $\lambda=2373$)

Tran van Trung construction with supplementary design for design number 1517 |

Alltop construction for design number 1519 |

\cite{Krameretal85} $PGL(2,19)$ 2106 isomorphism types |

1892 5-(21,9,630) (complement has $\lambda=1190$)

$PSL(3,2)\times S_3$ |

5581 6-(21,10,630) (complement has $\lambda=735$)

derived from number 5580 |

1979 5-(22,9,630) (complement has $\lambda=1750$)

$PSL(2,19)++$ |

2070 5-(22,10,630) (complement has $\lambda=5558$)

$PGL(2,19)++$ |

5580 7-(22,11,630) (complement has $\lambda=735$)

$PGL(2,19)++$ 30 solutions |

Alltop construction for design number 5581 |

PSL(2,19)++ (>= 1 isom. types) |

10959 5-(23,9,630) (complement has $\lambda=2430$)

TvT: 5-(22,8,140) $\cup$ 5-(22,9,490) |

2591 5-(24,10,630) (complement has $\lambda=10998$)

$PSL(2,23)$ (16889 isomorphism types) \cite{KitazumeMunemasa97} |

3971 5-(26,8,630) (complement has $\lambda=700$)

$PSL(2,25)$ |

derived from number 8819 |

3987 5-(26,9,630) (complement has $\lambda=5355$)

$PGL(2,25)$ |

3913 5-(26,10,630) (complement has $\lambda=19719$)

TvT: 5-(25,9,150) $\cup$ 5-(25,10,480) |

8819 6-(27,9,630) (complement has $\lambda=700$)

derived from number 8817 |

7387 5-(28,8,630) (complement has $\lambda=1141$)

derived from number 7385 |

7317 5-(28,9,630) (complement has $\lambda=8225$)

residual design of number 7314 |

8817 7-(28,10,630) (complement has $\lambda=700$)

$P\Gamma L(2,27)$ (>= 100 isom. types) \cite{Bettenetal97b} |

7308 5-(29,9,630) (complement has $\lambda=9996$)

design of number 7307 with respect to smaller t |

7385 6-(29,9,630) (complement has $\lambda=1141$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

7293 5-(28,8,637) (complement has $\lambda=1134$)

residual design of number 7290 |

9576 5-(31,8,640) (complement has $\lambda=1960$)

residual design of number 9570 |

derived from number 9571 |

5097 5-(32,8,640) (complement has $\lambda=2285$)

$AGL(4,2)\times C_2$ many solutions |

9571 6-(32,9,640) (complement has $\lambda=1960$)

residual design of number 9568 |

1377 5-(19,10,644) (complement has $\lambda=1358$)

TvT: 5-(18,9,230) $\cup$ 5-(18,10,414) \cite{TranvanTrung86} |

supplementary design of number 1576 |

4430 5-(28,8,644) (complement has $\lambda=1127$)

Bluskov |

design of number 7053 with respect to smaller t |

5101 5-(32,8,645) (complement has $\lambda=2280$)

$AGL(4,2)\times C_2$ many solutions |

2595 5-(24,10,648) (complement has $\lambda=10980$)

$PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (19357 isomorphism types) \cite{KitazumeMunemasa97} |

1526 5-(20,10,651) (complement has $\lambda=2352$)

Tran van Trung construction with supplementary design for design number 1524 |

Alltop construction for design number 1525 |

\cite{Krameretal85} $PSL(2,19)$ |

\cite{TranvanTrung86} |

10660 5-(28,8,651) (complement has $\lambda=1120$)

residual design of number 10657 |

derived from number 10658 |

10658 6-(29,9,651) (complement has $\lambda=1120$)

residual design of number 10655 |

derived from number 10656 |

10656 7-(30,10,651) (complement has $\lambda=1120$)

residual design of number 10654 |

5500 5-(64,7,651) (complement has $\lambda=1060$)

$A\Sigma L(3,4)$ many solutions |

1380 5-(19,10,658) (complement has $\lambda=1344$)

TvT: 5-(18,9,235) $\cup$ 5-(18,10,423) \cite{TranvanTrung86} |

supplementary design of number 1580 |

5105 5-(32,8,665) (complement has $\lambda=2260$)

$AGL(4,2)\times C_2$ many solutions |

2599 5-(24,10,666) (complement has $\lambda=10962$)

$PSL(2,23)$ (10178 isomorphism types) \cite{KitazumeMunemasa97} |

1383 5-(19,10,672) (complement has $\lambda=1330$)

TvT: 5-(18,9,240) $\cup$ 5-(18,10,432) \cite{TranvanTrung86} |

supplementary design of number 1584 |

1530 5-(20,10,672) (complement has $\lambda=2331$)

Tran van Trung construction with supplementary design for design number 1528 |

Alltop construction for design number 1529 |

\cite{Krameretal85} $PGL(2,19)$ 3994 isomorphism types |

\cite{TranvanTrung86} |

1833 5-(21,10,672) (complement has $\lambda=3696$)

TvT: 5-(20,9,210) $\cup$ 5-(20,10,462) \cite{TranvanTrung86} |

2077 5-(22,10,672) (complement has $\lambda=5516$)

\cite{Kreher95} $PGL(2,19)++$ |

464 5-(22,11,672) (complement has $\lambda=11704$)

Alltop construction for design number 461 |

$PSL(3,4)+$ 9 isomorphism types |

\cite{Kreher95} $PGL(2,19)++$ 1 isomorphism type |

PSL(3,4)+ Alltop construction from 4-(21,10,672) |

3933 5-(26,11,672) (complement has $\lambda=53592$)

TvT: 5-(25,10,192) $\cup$ 5-(25,11,480) |

7397 5-(28,8,672) (complement has $\lambda=1099$)

derived from number 7395 |

7275 5-(29,8,672) (complement has $\lambda=1352$)

design of number 7274 with respect to smaller t |

7395 6-(29,9,672) (complement has $\lambda=1099$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

8032 5-(25,9,675) (complement has $\lambda=4170$)

derived from number 8027 |

8027 6-(26,10,675) (complement has $\lambda=4170$)

derived from number 8025 |

8025 7-(27,11,675) (complement has $\lambda=4170$)

$ASL(3,3)$ 24 isomorphism types |

5109 5-(32,8,675) (complement has $\lambda=2250$)

TvT: 5-(31,7,75) $\cup$ 5-(31,8,600) |

5504 5-(64,7,675) (complement has $\lambda=1036$)

$A\Sigma L(3,4)$ many solutions |

7285 5-(29,8,680) (complement has $\lambda=1344$)

design of number 7284 with respect to smaller t |

derived from number 7564 |

7564 6-(30,9,680) (complement has $\lambda=1344$)

(Tran van Trung construction): 6-(29,8,85) together with 6-(29,9,595) \cite{Bettenetal97b} |

9596 5-(31,8,680) (complement has $\lambda=1920$)

residual design of number 9590 |

derived from number 9591 |

5113 5-(32,8,680) (complement has $\lambda=2245$)

$AGL(4,2)\times C_2$ many solutions |

9591 6-(32,9,680) (complement has $\lambda=1920$)

residual design of number 9588 |

2603 5-(24,10,684) (complement has $\lambda=10944$)

$PGL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (12572 isomorphism types) \cite{KitazumeMunemasa97} |

5117 5-(32,8,685) (complement has $\lambda=2240$)

$AGL(4,2)\times C_2$ many solutions |

1386 5-(19,10,686) (complement has $\lambda=1316$)

TvT: 5-(18,9,245) $\cup$ 5-(18,10,441) \cite{TranvanTrung86} |

supplementary design of number 1588 |

2084 5-(22,10,686) (complement has $\lambda=5502$)

$PGL(2,19)++$ |

1534 5-(20,10,693) (complement has $\lambda=2310$)

Tran van Trung construction with supplementary design for design number 1532 |

Alltop construction for design number 1533 |

\cite{Krameretal85} $PGL(2,19)$ 3968 isomorphism types |

residual design of number 5576 |

derived from number 5577 |

5577 6-(21,11,693) (complement has $\lambda=2310$)

residual design of number 5575 |

supplementary design of number 5576 |

7303 5-(28,8,693) (complement has $\lambda=1078$)

residual design of number 7300 |

derived from number 7401 |

7401 6-(29,9,693) (complement has $\lambda=1078$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

3652 5-(24,9,696) (complement has $\lambda=3180$)

$PSL(2,23)$ |

1895 5-(21,9,700) (complement has $\lambda=1120$)

TvT: 5-(20,8,175) $\cup$ 5-(20,9,525) \cite{TranvanTrung86} |

1982 5-(22,9,700) (complement has $\lambda=1680$)

$PSL(2,19)++$ |

residual design of number 7882 |

7041 5-(27,8,700) (complement has $\lambda=840$)

residual design of number 7039 |

4434 5-(28,8,700) (complement has $\lambda=1071$)

$A_8^{[2]}$ (>=1 isom. types) |

residual design of number 10647 |

derived from number 10648 |

10648 6-(29,9,700) (complement has $\lambda=1071$)

residual design of number 10645 |

derived from number 10646 |

10646 7-(30,10,700) (complement has $\lambda=1071$)

residual design of number 10644 |

5121 5-(32,8,700) (complement has $\lambda=2225$)

$AGL(4,2)\times C_2$ |

5238 5-(33,8,700) (complement has $\lambda=2576$)

\cite{Sebille98} $P\Gamma L(2,32)$ |

3654 5-(24,9,702) (complement has $\lambda=3174$)

$PSL(2,23)$ |

2607 5-(24,10,702) (complement has $\lambda=10926$)

$PSL(2,23)$ (6096 isomorphism types) \cite{KitazumeMunemasa97} |

5125 5-(32,8,705) (complement has $\lambda=2220$)

$AGL(4,2)\times C_2$ |

1753 5-(20,10,714) (complement has $\lambda=2289$)

\cite{Krameretal85} $PGL(2,19)$ |

Alltop construction for design number 1755 |

3658 5-(24,9,714) (complement has $\lambda=3162$)

$PSL(2,23)$ |

2615 5-(24,10,720) (complement has $\lambda=10908$)

$PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (5975 isomorphism types) \cite{KitazumeMunemasa97} |

3774 5-(25,10,720) (complement has $\lambda=14784$)

TvT: 5-(24,9,180) $\cup$ 5-(24,10,540) |

9367 5-(31,8,720) (complement has $\lambda=1880$)

derived from number 9362 |

9573 5-(32,8,720) (complement has $\lambda=2205$)

derived from number 9569 |

design of number 9570 with respect to smaller t |

9362 6-(32,9,720) (complement has $\lambda=1880$)

derived from number 9360 |

9569 6-(33,9,720) (complement has $\lambda=2205$)

design of number 9568 with respect to smaller t |

9360 7-(33,10,720) (complement has $\lambda=1880$)

$P\Gamma L(2,32)$ (many isomorphism types) |

5508 5-(64,7,723) (complement has $\lambda=988$)

$A\Sigma L(3,4)$ many solutions |

1593 5-(19,10,728) (complement has $\lambda=1274$)

supplementary design of number 1592 |

2091 5-(22,10,728) (complement has $\lambda=5460$)

$PGL(2,19)++$ |

7291 5-(29,8,728) (complement has $\lambda=1296$)

design of number 7290 with respect to smaller t |

3664 5-(24,9,732) (complement has $\lambda=3144$)

$PSL(2,23)$ |

1539 5-(20,10,735) (complement has $\lambda=2268$)

Tran van Trung construction with supplementary design for design number 1536 |

Alltop construction for design number 1538 |

\cite{Krameretal85} $PGL(2,19)$ |

7166 5-(28,8,735) (complement has $\lambda=1036$)

residual design of number 7163 |

derived from number 7407 |

7407 6-(29,9,735) (complement has $\lambda=1036$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

residual design of number 9278 |

2618 5-(24,10,738) (complement has $\lambda=10890$)

$PSL(2,23)$ (3105 isomorphism types) \cite{KitazumeMunemasa97} |

7175 5-(28,8,742) (complement has $\lambda=1029$)

residual design of number 7172 |

3668 5-(24,9,744) (complement has $\lambda=3132$)

$PSL(2,23)$ |

9306 5-(29,8,744) (complement has $\lambda=1280$)

derived from number 9301 |

design of number 10657 with respect to smaller t |

9301 6-(30,9,744) (complement has $\lambda=1280$)

derived from number 9299 |

design of number 10655 with respect to smaller t |

9299 7-(31,10,744) (complement has $\lambda=1280$)

$PSL(3,5)$ ( >=1 isom. types) |

design of number 10654 with respect to smaller t |

5512 5-(64,7,744) (complement has $\lambda=967$)

$ASL(3,4)$ many solutions |

3672 5-(24,9,750) (complement has $\lambda=3126$)

$PSL(2,23)$ |

4888 5-(30,9,750) (complement has $\lambda=11900$)

TvT: 5-(29,8,120) $\cup$ 5-(29,9,630) |

1389 5-(19,10,756) (complement has $\lambda=1246$)

TvT: 5-(18,9,270) $\cup$ 5-(18,10,486) \cite{TranvanTrung86} |

supplementary design of number 1599 |

1757 5-(20,10,756) (complement has $\lambda=2247$)

\cite{Krameretal85} |

Alltop construction for design number 1759 |

\cite{Krameretal85} $PGL(2,19)$ |

2093 5-(22,10,756) (complement has $\lambda=5432$)

$PGL(2,19)++$ |

2012 5-(22,11,756) (complement has $\lambda=11620$)

Alltop construction for design number 2009 |

10827 5-(23,10,756) (complement has $\lambda=7812$)

TvT: 5-(22,9,210) $\cup$ 5-(22,10,546) |

2622 5-(24,10,756) (complement has $\lambda=10872$)

$PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (2341 isomorphism types) \cite{KitazumeMunemasa97} |

3915 5-(26,10,756) (complement has $\lambda=19593$)

TvT: 5-(25,9,180) $\cup$ 5-(25,10,576) |

4438 5-(28,8,756) (complement has $\lambda=1015$)

$A_8^{[2]}$ (>=1 isom. types) |

derived from number 7410 |

7315 5-(29,9,756) (complement has $\lambda=9870$)

design of number 7314 with respect to smaller t |

7410 6-(29,9,756) (complement has $\lambda=1015$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

5242 5-(33,8,756) (complement has $\lambda=2520$)

TvT: 5-(32,7,81) $\cup$ 5-(32,8,675) |

3676 5-(24,9,764) (complement has $\lambda=3112$)

$PSL(2,23)$ |

6303 5-(25,9,765) (complement has $\lambda=4080$)

residual design of number 6301 |

derived from number 8047 |

8047 6-(26,10,765) (complement has $\lambda=4080$)

derived from number 8045 |

8045 7-(27,11,765) (complement has $\lambda=4080$)

$ASL(3,3)$ 189 isomorphism types |

9593 5-(32,8,765) (complement has $\lambda=2160$)

derived from number 9589 |

design of number 9590 with respect to smaller t |

9589 6-(33,9,765) (complement has $\lambda=2160$)

design of number 9588 with respect to smaller t |

1392 5-(19,10,770) (complement has $\lambda=1232$)

TvT: 5-(18,9,275) $\cup$ 5-(18,10,495) \cite{TranvanTrung86} |

supplementary design of number 1603 |

2100 5-(22,10,770) (complement has $\lambda=5418$)

$PGL(2,19)++$ |

7327 5-(28,9,770) (complement has $\lambda=8085$)

residual design of number 7324 |

2626 5-(24,10,774) (complement has $\lambda=10854$)

$PSL(2,23)$ (1163 isomorphism types) \cite{KitazumeMunemasa97} |

1761 5-(20,10,777) (complement has $\lambda=2226$)

\cite{Krameretal85} |

Alltop construction for design number 1763 |

\cite{Krameretal85} $PSL(2,19)$ |

3683 5-(24,9,780) (complement has $\lambda=3096$)

$PSL(2,23)$ |

1395 5-(19,10,784) (complement has $\lambda=1218$)

TvT: 5-(18,9,280) $\cup$ 5-(18,10,504) \cite{TranvanTrung86} |

supplementary design of number 1607 |

2019 5-(22,11,784) (complement has $\lambda=11592$)

Alltop construction for design number 2016 |

7185 5-(28,8,784) (complement has $\lambda=987$)

residual design of number 7182 |

derived from number 7411 |

7411 6-(29,9,784) (complement has $\lambda=987$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

residual design of number 9279 |

4442 5-(28,8,791) (complement has $\lambda=980$)

$S_8^{[2]}$ (>=1 isom. types) |

2629 5-(24,10,792) (complement has $\lambda=10836$)

$PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (1052 isomorphism types) \cite{KitazumeMunemasa97} |

7301 5-(29,8,792) (complement has $\lambda=1232$)

design of number 7300 with respect to smaller t |

residual design of number 7551 |

derived from number 7567 |

7567 6-(30,9,792) (complement has $\lambda=1232$)

(Tran van Trung construction): 6-(29,8,99) together with 6-(29,9,693) \cite{Bettenetal97b} |

1398 5-(19,10,798) (complement has $\lambda=1204$)

TvT: 5-(18,9,285) $\cup$ 5-(18,10,513) \cite{TranvanTrung86} |

supplementary design of number 1611 |

1545 5-(20,10,798) (complement has $\lambda=2205$)

Tran van Trung construction with supplementary design for design number 1543 |

Alltop construction for design number 1544 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

2107 5-(22,10,798) (complement has $\lambda=5390$)

$PGL(2,19)++$ |

7416 5-(28,8,798) (complement has $\lambda=973$)

derived from number 7414 |

7414 6-(29,9,798) (complement has $\lambda=973$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

9325 5-(29,8,800) (complement has $\lambda=1224$)

derived from number 9320 |

design of number 10647 with respect to smaller t |

9320 6-(30,9,800) (complement has $\lambda=1224$)

derived from number 9318 |

design of number 10645 with respect to smaller t |

9440 5-(31,8,800) (complement has $\lambda=1800$)

residual design of number 9434 |

derived from number 9435 |

9318 7-(31,10,800) (complement has $\lambda=1224$)

$PSL(3,5)$ ( >=1 isom. types) |

design of number 10644 with respect to smaller t |

9435 6-(32,9,800) (complement has $\lambda=1800$)

residual design of number 9432 |

5387 5-(46,8,800) (complement has $\lambda=9860$)

$M_{23}\times Id_2$ 2 solutions |

4446 5-(28,8,805) (complement has $\lambda=966$)

Bluskov |

design of number 7039 with respect to smaller t |

10826 5-(23,9,810) (complement has $\lambda=2250$)

TvT: 5-(22,8,180) $\cup$ 5-(22,9,630) |

3687 5-(24,9,810) (complement has $\lambda=3066$)

$PSL(2,23)$ |

2633 5-(24,10,810) (complement has $\lambda=10818$)

$PSL(2,23)$ (356 isomorphism types) \cite{KitazumeMunemasa97} |

8063 5-(25,9,810) (complement has $\lambda=4035$)

derived from number 8059 |

8059 6-(26,10,810) (complement has $\lambda=4035$)

derived from number 8057 |

8057 7-(27,11,810) (complement has $\lambda=4035$)

$ASL(3,3)$ 1188 isomorphism types |

5541 5-(19,10,812) (complement has $\lambda=1190$)

residual design of number 5539 |

supplementary design of number 5540 |

design of number 7812 with respect to smaller t |

2114 5-(22,10,812) (complement has $\lambda=5376$)

$PGL(2,19)++$ |

1549 5-(20,10,819) (complement has $\lambda=2184$)

Tran van Trung construction with supplementary design for design number 1547 |

Alltop construction for design number 1548 |

\cite{Krameretal85} |

\cite{TranvanTrung86} |

3917 5-(26,10,819) (complement has $\lambda=19530$)

TvT: 5-(25,9,195) $\cup$ 5-(25,10,624) |

7426 5-(28,8,819) (complement has $\lambda=952$)

derived from number 7424 |

7424 6-(29,9,819) (complement has $\lambda=952$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

1616 5-(19,10,826) (complement has $\lambda=1176$)

supplementary design of number 1615 |

7432 5-(28,8,826) (complement has $\lambda=945$)

derived from number 7430 |

7430 6-(29,9,826) (complement has $\lambda=945$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

2637 5-(24,10,828) (complement has $\lambda=10800$)

$PSL(2,23)$ (416 isomorphism types) \cite{KitazumeMunemasa97} |

1554 5-(20,10,840) (complement has $\lambda=2163$)

Tran van Trung construction with supplementary design for design number 1551 |

Alltop construction for design number 1553 |

\cite{Krameretal85} |

\cite{Krameretal85} $PSL(2,19)$ |

1897 5-(21,9,840) (complement has $\lambda=980$)

TvT: 5-(20,8,210) $\cup$ 5-(20,9,630) |

derived from number 5569 |

1840 5-(21,10,840) (complement has $\lambda=3528$)

$PGL(2,19)+$ |

residual design of number 5563 |

derived from number 5570 |

1984 5-(22,9,840) (complement has $\lambda=1540$)

$PSL(2,19)++$ |

residual design of number 7831 |

derived from number 7832 |

2121 5-(22,10,840) (complement has $\lambda=5348$)

$PGL(2,19)++$ |

2026 5-(22,11,840) (complement has $\lambda=11536$)

Alltop construction for design number 2023 |

$PGL(2,19)++$ |

5569 6-(22,10,840) (complement has $\lambda=980$)

$PSL(2,19)++$ |

5570 6-(22,11,840) (complement has $\lambda=3528$)

$PGL(2,19)++$ |

7832 6-(23,10,840) (complement has $\lambda=1540$)

residual design of number 7829 |

3693 5-(24,9,840) (complement has $\lambda=3036$)

$PSL(2,23)$ |

8080 5-(25,9,840) (complement has $\lambda=4005$)

derived from number 8075 |

3789 5-(25,10,840) (complement has $\lambda=14664$)

TvT: 5-(24,9,210) $\cup$ 5-(24,10,630) |

8075 6-(26,10,840) (complement has $\lambda=4005$)

derived from number 8073 |

8073 7-(27,11,840) (complement has $\lambda=4005$)

$ASL(3,3)$ |

4450 5-(28,8,840) (complement has $\lambda=931$)

$S_8^{[2]}$ (>=1 isom. types) |

residual design of number 7191 |

derived from number 7440 |

7164 5-(29,8,840) (complement has $\lambda=1184$)

design of number 7163 with respect to smaller t |

derived from number 7569 |

7440 6-(29,9,840) (complement has $\lambda=931$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

7569 6-(30,9,840) (complement has $\lambda=1184$)

(Tran van Trung construction): 6-(29,8,105) together with 6-(29,9,735) \cite{Bettenetal97b} |

design of number 9278 with respect to smaller t |

9386 5-(31,8,840) (complement has $\lambda=1760$)

derived from number 9382 |

residual design of number 9454 |

9382 6-(32,9,840) (complement has $\lambda=1760$)

derived from number 9380 |

residual design of number 9452 |

9380 7-(33,10,840) (complement has $\lambda=1760$)

$P\Gamma L(2,32)$ (many isomorphism types) |

2641 5-(24,10,846) (complement has $\lambda=10782$)

$PSL(2,23)$ (139 isomorphism types) \cite{KitazumeMunemasa97} |

7173 5-(29,8,848) (complement has $\lambda=1176$)

design of number 7172 with respect to smaller t |

1623 5-(19,10,854) (complement has $\lambda=1148$)

supplementary design of number 1622 |

1560 5-(20,10,861) (complement has $\lambda=2142$)

Tran van Trung construction with supplementary design for design number 1558 |

Alltop construction for design number 1559 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

7448 5-(28,8,861) (complement has $\lambda=910$)

derived from number 7446 |

7446 6-(29,9,861) (complement has $\lambda=910$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

2645 5-(24,10,864) (complement has $\lambda=10764$)

$PSL(2,23)$ (117 isomorphism types) \cite{KitazumeMunemasa97} |

5546 5-(19,10,868) (complement has $\lambda=1134$)

residual design of number 5544 |

supplementary design of number 5545 |

design of number 7819 with respect to smaller t |

3697 5-(24,9,870) (complement has $\lambda=3006$)

$PSL(2,23)$ |

4454 5-(28,8,875) (complement has $\lambda=896$)

$S_8^{[2]}$ (>=1 isom. types) |

3701 5-(24,9,876) (complement has $\lambda=3000$)

$PSL(2,23)$ |

9403 5-(31,8,880) (complement has $\lambda=1720$)

derived from number 9398 |

9398 6-(32,9,880) (complement has $\lambda=1720$)

derived from number 9396 |

9396 7-(33,10,880) (complement has $\lambda=1720$)

$P\Gamma L(2,32)$ (many isomorphism types) |

1401 5-(19,10,882) (complement has $\lambda=1120$)

TvT: 5-(18,9,315) $\cup$ 5-(18,10,567) \cite{TranvanTrung86} |

supplementary design of number 1629 |

design of number 5528 with respect to smaller t |

residual design of number 5529 |

1565 5-(20,10,882) (complement has $\lambda=2121$)

Tran van Trung construction with supplementary design for design number 1562 |

Alltop construction for design number 1564 |

\cite{Krameretal85} $PGL(2,19)$ |

2124 5-(22,10,882) (complement has $\lambda=5306$)

$PGL(2,19)++$ |

2649 5-(24,10,882) (complement has $\lambda=10746$)

$PSL(2,23)$ (45 isomorphism types) \cite{KitazumeMunemasa97} |

7199 5-(28,8,882) (complement has $\lambda=889$)

residual design of number 7197 |

derived from number 7452 |

7452 6-(29,9,882) (complement has $\lambda=889$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

5129 5-(32,8,885) (complement has $\lambda=2040$)

$AGL(4,2)\times C_2$ |

1404 5-(19,10,896) (complement has $\lambda=1106$)

TvT: 5-(18,9,320) $\cup$ 5-(18,10,576) \cite{TranvanTrung86} |

supplementary design of number 1633 |

2131 5-(22,10,896) (complement has $\lambda=5292$)

$PGL(2,19)++$ |

7183 5-(29,8,896) (complement has $\lambda=1128$)

design of number 7182 with respect to smaller t |

derived from number 7572 |

7572 6-(30,9,896) (complement has $\lambda=1128$)

(Tran van Trung construction): 6-(29,8,112) together with 6-(29,9,784) \cite{Bettenetal97b} |

design of number 9279 with respect to smaller t |

5245 5-(33,8,896) (complement has $\lambda=2380$)

\cite{Sebille98} $P\Gamma L(2,32)$ |

7883 5-(23,9,900) (complement has $\lambda=2160$)

residual design of number 7881 |

design of number 7882 with respect to smaller t |

2653 5-(24,10,900) (complement has $\lambda=10728$)

$PSL(2,23)$ (14 isomorphism types) \cite{KitazumeMunemasa97} |

8099 5-(25,9,900) (complement has $\lambda=3945$)

derived from number 8094 |

8094 6-(26,10,900) (complement has $\lambda=3945$)

derived from number 8092 |

8092 7-(27,11,900) (complement has $\lambda=3945$)

$ASL(3,3)$ |

4882 5-(30,8,900) (complement has $\lambda=1400$)

TvT: 5-(29,7,108) $\cup$ 5-(29,8,792) |

design of number 7551 with respect to smaller t |

derived from number 7651 |

7651 6-(31,9,900) (complement has $\lambda=1400$)

TvT: 6-(30,8,108) $\cup$ 6-(30,9,792) |

9437 5-(32,8,900) (complement has $\lambda=2025$)

derived from number 9433 |

design of number 9434 with respect to smaller t |

9433 6-(33,9,900) (complement has $\lambda=2025$)

design of number 9432 with respect to smaller t |

5391 5-(46,8,900) (complement has $\lambda=9760$)

$M_{23}\times Id_2$ 2 solutions |

1765 5-(20,10,903) (complement has $\lambda=2100$)

\cite{Krameretal85} $PSL(2,19)$ |

Alltop construction for design number 1767 |

1407 5-(19,10,910) (complement has $\lambda=1092$)

TvT: 5-(18,9,325) $\cup$ 5-(18,10,585) \cite{TranvanTrung86} |

supplementary design of number 1637 |

1881 5-(21,9,910) (selfcomplementary)

$LS[2](5,9,21)$ $PSL(2,9)$ |

$P\GammaL(2,9)xid_2+$ Halving of the complete design |

residual design of number 5561 |

residual design of complement of number 5561 |

1987 5-(22,9,910) (complement has $\lambda=1470$)

$PSL(2,19)++$ |

6995 5-(27,9,910) (complement has $\lambda=6405$)

derived from number 6993 |

6993 6-(28,10,910) (complement has $\lambda=6405$)

$P\Gamma L(2,27)$ |

2657 5-(24,10,918) (complement has $\lambda=10710$)

$PSL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97} |

1642 5-(19,10,924) (complement has $\lambda=1078$)

supplementary design of number 1641 |

1769 5-(20,10,924) (complement has $\lambda=2079$)

\cite{Krameretal85} |

Alltop construction for design number 1771 |

Tran van Trung construction with supplementary design for design number 5535 |

2033 5-(22,11,924) (complement has $\lambda=11452$)

Alltop construction for design number 2030 |

10829 5-(23,11,924) (complement has $\lambda=17640$)

TvT: 5-(22,10,308) $\cup$ 5-(22,11,616) |

3708 5-(24,9,924) (complement has $\lambda=2952$)

$PGL(2,23)$ (>1 isomorphism types) |

7325 5-(29,9,924) (complement has $\lambda=9702$)

design of number 7324 with respect to smaller t |

8119 5-(25,9,930) (complement has $\lambda=3915$)

derived from number 8114 |

8114 6-(26,10,930) (complement has $\lambda=3915$)

derived from number 8112 |

8112 7-(27,11,930) (complement has $\lambda=3915$)

$ASL(3,3)$ |

2661 5-(24,10,936) (complement has $\lambda=10692$)

$PSL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97} |

$PSL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97} |

5550 5-(19,10,938) (complement has $\lambda=1064$)

residual design of number 5548 |

supplementary design of number 5549 |

design of number 7824 with respect to smaller t |

2138 5-(22,10,938) (complement has $\lambda=5250$)

$PGL(2,19)++$ |

1572 5-(20,10,945) (complement has $\lambda=2058$)

Tran van Trung construction with supplementary design for design number 1569 |

Alltop construction for design number 1571 |

\cite{Krameretal85} |

\cite{Krameretal85} $PGL(2,19)$ |

8138 5-(25,9,945) (complement has $\lambda=3900$)

derived from number 8133 |

245 5-(26,9,945) (complement has $\lambda=5040$)

derived from number 243 |

$PGL(2,25)$ |

design of number 6301 with respect to smaller t |

3919 5-(26,10,945) (complement has $\lambda=19404$)

TvT: 5-(25,9,225) $\cup$ 5-(25,10,720) |

8133 6-(26,10,945) (complement has $\lambda=3900$)

derived from number 8131 |

243 6-(27,10,945) (complement has $\lambda=5040$)

$ASL(3,3)^{13}$ |

TvT: 6-(26,9,180) $\cup$ 6-(26,10,765) |

8131 7-(27,11,945) (complement has $\lambda=3900$)

$ASL(3,3)$ |

9455 5-(32,8,945) (complement has $\lambda=1980$)

derived from number 9453 |

design of number 9454 with respect to smaller t |

9453 6-(33,9,945) (complement has $\lambda=1980$)

design of number 9452 with respect to smaller t |

derived from number 9608 |

9608 7-(34,10,945) (complement has $\lambda=1980$)

TvT: 7-(33,9,105) $\cup$ 7-(33,10,840) |

1649 5-(19,10,952) (complement has $\lambda=1050$)

supplementary design of number 1648 |

2145 5-(22,10,952) (complement has $\lambda=5236$)

\cite{Kreher95} |

TvT: 5-(21,9,280) $\cup$ 5-(21,10,672) |

1829 5-(22,11,952) (complement has $\lambda=11424$)

Tran van Trung construction with supplementary design for design number 1826 |

Alltop construction for design number 1828 |

$PSL(3,4)+$ 9 isomorphism types |

$PGL(2,19)++$ 439 solutions |

\cite{Kreher95} |

833 5-(25,10,960) (complement has $\lambda=14544$)

TvT: 5-(24,9,240) $\cup$ 5-(24,10,720) |

3840 5-(25,12,960) (complement has $\lambda=76560$)

TvT: 5-(24,11,336) $\cup$ 5-(24,12,624) |

7192 5-(29,8,960) (complement has $\lambda=1064$)

design of number 7191 with respect to smaller t |

derived from number 7575 |

7575 6-(30,9,960) (complement has $\lambda=1064$)

(Tran van Trung construction): 6-(29,8,120) together with 6-(29,9,840) \cite{Bettenetal97b} |

9467 5-(31,8,960) (complement has $\lambda=1640$)

residual design of number 9461 |

derived from number 9462 |

9462 6-(32,9,960) (complement has $\lambda=1640$)

residual design of number 9459 |

5395 5-(46,8,960) (complement has $\lambda=9700$)

$M_{23}\times Id_2$ |

1578 5-(20,10,966) (complement has $\lambda=2037$)

Tran van Trung construction with supplementary design for design number 1576 |

Alltop construction for design number 1577 |

\cite{Krameretal85} |

TvT: 5-(19,9,322) $\cup$ 5-(19,10,644) \cite{TranvanTrung86} |

\cite{Krameretal85} $PSL(2,19)$ |

\cite{TranvanTrung86} |

2147 5-(22,10,966) (complement has $\lambda=5222$)

$PGL(2,19)++$ |

1410 5-(19,10,980) (complement has $\lambda=1022$)

TvT: 5-(18,9,350) $\cup$ 5-(18,10,630) \cite{TranvanTrung86} |

supplementary design of number 1662 |

2154 5-(22,10,980) (complement has $\lambda=5208$)

$PGL(2,19)++$ |

1582 5-(20,10,987) (complement has $\lambda=2016$)

Tran van Trung construction with supplementary design for design number 1580 |

Alltop construction for design number 1581 |

\cite{Krameretal85} |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

1413 5-(19,10,994) (complement has $\lambda=1008$)

TvT: 5-(18,9,355) $\cup$ 5-(18,10,639) \cite{TranvanTrung86} |

supplementary design of number 1666 |

3714 5-(24,9,996) (complement has $\lambda=2880$)

$PGL(2,23)$ (>1 isomorphism types) |

9424 5-(31,8,1000) (complement has $\lambda=1600$)

residual design of number 9419 |

derived from number 9481 |

9481 6-(32,9,1000) (complement has $\lambda=1600$)

residual design of number 9479 |

1586 5-(20,10,1008) (complement has $\lambda=1995$)

Tran van Trung construction with supplementary design for design number 1584 |

Alltop construction for design number 1585 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

1849 5-(21,10,1008) (complement has $\lambda=3360$)

$PGL(2,19)+$ |

derived from number 5571 |

design of number 5576 with respect to smaller t |

2161 5-(22,10,1008) (complement has $\lambda=5180$)

$PGL(2,19)++$ |

2277 5-(22,11,1008) (complement has $\lambda=11368$)

\cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types |

Alltop construction for design number 2279 |

5571 6-(22,11,1008) (complement has $\lambda=3360$)

$PGL(2,19)++$ |

design of number 5575 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5576 |

11019 5-(23,10,1008) (complement has $\lambda=7560$)

TvT: 5-(22,9,280) $\cup$ 5-(22,10,728) |

3227 5-(24,9,1008) (complement has $\lambda=2868$)

$PGL(2,23)$ (>1 isomorphism types) |

2397 5-(24,10,1008) (complement has $\lambda=10620$)

\cite{Driessen78} |

3718 5-(25,10,1008) (complement has $\lambda=14496$)

TvT: 5-(24,9,252) $\cup$ 5-(24,10,756) |

7198 5-(29,8,1008) (complement has $\lambda=1016$)

design of number 7197 with respect to smaller t |

derived from number 7552 |

7552 6-(30,9,1008) (complement has $\lambda=1016$)

(Tran van Trung construction): 6-(29,8,126) together with 6-(29,9,882) \cite{Bettenetal97b} |

10332 5-(38,8,1008) (complement has $\lambda=4448$)

derived from number 10327 |

10327 6-(39,9,1008) (complement has $\lambda=4448$)

derived from number 10325 |

10325 7-(40,10,1008) (complement has $\lambda=4448$)

$PSL(4,3)$ (many isomorphism types) |

6307 5-(25,9,1020) (complement has $\lambda=3825$)

residual design of number 6306 |

derived from number 8011 |

8011 6-(26,10,1020) (complement has $\lambda=3825$)

residual design of number 8009 |

2168 5-(22,10,1022) (complement has $\lambda=5166$)

$PGL(2,19)++$ |

10994 5-(24,9,1026) (complement has $\lambda=2850$)

TvT: 5-(23,8,216) $\cup$ 5-(23,9,810) |

10889 5-(24,10,1026) (complement has $\lambda=10602$)

TvT: 5-(23,9,270) $\cup$ 5-(23,10,756) |

1590 5-(20,10,1029) (complement has $\lambda=1974$)

Tran van Trung construction with supplementary design for design number 1588 |

Alltop construction for design number 1589 |

\cite{Krameretal85} |

\cite{TranvanTrung86} |

840 5-(25,10,1032) (complement has $\lambda=14472$)

TvT: 5-(24,9,258) $\cup$ 5-(24,10,774) |

8158 5-(25,9,1035) (complement has $\lambda=3810$)

derived from number 8153 |

8153 6-(26,10,1035) (complement has $\lambda=3810$)

derived from number 8151 |

8151 7-(27,11,1035) (complement has $\lambda=3810$)

$ASL(3,3)$ |

2042 5-(22,11,1036) (complement has $\lambda=11340$)

Alltop construction for design number 2039 |

1677 5-(20,10,1050) (complement has $\lambda=1953$)

\cite{Krameretal85} $PGL(2,19)$ |

Alltop construction for design number 1679 |

1991 5-(22,9,1050) (complement has $\lambda=1330$)

$PSL(2,19)++$ |

2175 5-(22,10,1050) (complement has $\lambda=5138$)

$PGL(2,19)++$ |

3720 5-(25,10,1056) (complement has $\lambda=14448$)

TvT: 5-(24,9,264) $\cup$ 5-(24,10,792) |

5351 5-(46,8,1060) (complement has $\lambda=9600$)

$M_{23}\times Id_2$ |

3234 5-(24,9,1068) (complement has $\lambda=2808$)

$PGL(2,23)$ (>1 isomorphism types) |

1681 5-(20,10,1071) (complement has $\lambda=1932$)

\cite{Krameretal85} $PGL(2,19)$ |

Alltop construction for design number 1683 |

7834 5-(23,9,1080) (complement has $\lambda=1980$)

derived from number 7830 |

design of number 7831 with respect to smaller t |

residual design of number 7885 |

3240 5-(24,9,1080) (complement has $\lambda=2796$)

$M_{11}_{12}\times id_2$ 9 solutions |

$PGL(2,23)$ (>1 isomorphism types) |

7830 6-(24,10,1080) (complement has $\lambda=1980$)

design of number 7829 with respect to smaller t |

residual design of number 7888 |

8174 5-(25,9,1080) (complement has $\lambda=3765$)

derived from number 8172 |

8172 6-(26,10,1080) (complement has $\lambda=3765$)

derived from number 8171 |

8171 7-(27,11,1080) (complement has $\lambda=3765$)

$ASL(3,3)$ |

9464 5-(32,8,1080) (complement has $\lambda=1845$)

derived from number 9460 |

design of number 9461 with respect to smaller t |

9460 6-(33,9,1080) (complement has $\lambda=1845$)

design of number 9459 with respect to smaller t |

7693 5-(36,8,1080) (complement has $\lambda=3415$)

derived from number 7691 |

7691 6-(37,9,1080) (complement has $\lambda=3415$)

$Sp(6,2)_36+$ (many isom. types) |

5133 5-(32,8,1085) (complement has $\lambda=1840$)

$AGL(4,2)\times C_2$ |

3244 5-(24,9,1086) (complement has $\lambda=2790$)

$PSL(2,23)$ (>1 isomorphism types) |

1595 5-(20,10,1092) (complement has $\lambda=1911$)

Tran van Trung construction with supplementary design for design number 1592 |

Alltop construction for design number 1594 |

\cite{Krameretal85} $PSL(2,19)$ |

2048 5-(22,11,1092) (complement has $\lambda=11284$)

Alltop construction for design number 2045 |

4885 5-(30,9,1100) (complement has $\lambda=11550$)

TvT: 5-(29,8,176) $\cup$ 5-(29,9,924) |

3248 5-(24,9,1104) (complement has $\lambda=2772$)

$PGL(2,23)$ (>1 isomorphism types) |

8188 5-(25,9,1110) (complement has $\lambda=3735$)

derived from number 8183 |

8183 6-(26,10,1110) (complement has $\lambda=3735$)

derived from number 8181 |

8181 7-(27,11,1110) (complement has $\lambda=3735$)

$ASL(3,3)$ |

1685 5-(20,10,1113) (complement has $\lambda=1890$)

\cite{Krameretal85} $PGL(2,19)$ |

Alltop construction for design number 1687 |

3252 5-(24,9,1116) (complement has $\lambda=2760$)

$PGL(2,23)$ (>1 isomorphism types) |

1995 5-(22,9,1120) (complement has $\lambda=1260$)

$PSL(2,19)++$ |

residual design of number 7839 |

derived from number 7840 |

2055 5-(22,11,1120) (complement has $\lambda=11256$)

Alltop construction for design number 2052 |

\cite{Kreher95} $PSL(3,4)+$ 9 isomorphism types $PGL(2,19)++$ |

7840 6-(23,10,1120) (complement has $\lambda=1260$)

residual design of number 7837 |

9497 5-(31,8,1120) (complement has $\lambda=1480$)

residual design of number 9491 |

derived from number 9492 |

5137 5-(32,8,1120) (complement has $\lambda=1805$)

$AGL(4,2)\times C_2$ |

9492 6-(32,9,1120) (complement has $\lambda=1480$)

residual design of number 9489 |

5355 5-(46,8,1120) (complement has $\lambda=9540$)

$M_{23}\times Id_2$ |

3256 5-(24,9,1122) (complement has $\lambda=2754$)

$PSL(2,23)$ (>1 isomorphism types) |

5141 5-(32,8,1125) (complement has $\lambda=1800$)

$AGL(4,2)\times C_2$ |

residual design of number 9417 |

design of number 9419 with respect to smaller t |

derived from number 9480 |

9480 6-(33,9,1125) (complement has $\lambda=1800$)

design of number 9479 with respect to smaller t |

residual design of number 9609 |

3260 5-(24,9,1128) (complement has $\lambda=2748$)

$PSL(2,23)$ (>1 isomorphism types) |

3722 5-(25,10,1128) (complement has $\lambda=14376$)

TvT: 5-(24,9,282) $\cup$ 5-(24,10,846) |

1601 5-(20,10,1134) (complement has $\lambda=1869$)

Tran van Trung construction with supplementary design for design number 1599 |

Alltop construction for design number 1600 |

\cite{Krameretal85} |

\cite{TranvanTrung86} |

10832 5-(23,11,1134) (complement has $\lambda=17430$)

TvT: 5-(22,10,378) $\cup$ 5-(22,11,756) |

3267 5-(24,9,1140) (complement has $\lambda=2736$)

$PGL(2,23)$ (>1 isomorphism types) |

residual design of number 6275 |

design of number 7881 with respect to smaller t |

3271 5-(24,9,1152) (complement has $\lambda=2724$)

$PGL(2,23)$ (>1 isomorphism types) |

1605 5-(20,10,1155) (complement has $\lambda=1848$)

Tran van Trung construction with supplementary design for design number 1603 |

Alltop construction for design number 1604 |

\cite{Krameretal85} $PSL(2,19)$ |

\cite{TranvanTrung86} |

5578 5-(20,11,1155) (complement has $\lambda=3850$)

residual design of number 5577 |

4133 5-(27,9,1155) (complement has $\lambda=6160$)

TvT: 5-(26,8,210) $\cup$ 5-(26,9,945) |

3274 5-(24,9,1158) (complement has $\lambda=2718$)

$PGL(2,23)$ (>1 isomorphism types) |

9517 5-(31,8,1160) (complement has $\lambda=1440$)

residual design of number 9511 |

derived from number 9512 |

9512 6-(32,9,1160) (complement has $\lambda=1440$)

residual design of number 9509 |

3278 5-(24,9,1170) (complement has $\lambda=2706$)

$PGL(2,23)$ (>1 isomorphism types) |

8208 5-(25,9,1170) (complement has $\lambda=3675$)

derived from number 8203 |

8203 6-(26,10,1170) (complement has $\lambda=3675$)

derived from number 8201 |

8201 7-(27,11,1170) (complement has $\lambda=3675$)

$ASL(3,3)$ |

1609 5-(20,10,1176) (complement has $\lambda=1827$)

Tran van Trung construction with supplementary design for design number 1607 |

Alltop construction for design number 1608 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

2062 5-(22,11,1176) (complement has $\lambda=11200$)

Alltop construction for design number 2059 |

10960 5-(23,11,1176) (complement has $\lambda=17388$)

TvT: 5-(22,10,392) $\cup$ 5-(22,11,784) |

3282 5-(24,9,1176) (complement has $\lambda=2700$)

$M_{11}_{12}\times id_2$ |

$PGL(2,23)$ (>1 isomorphism types) |

derived from number 7907 |

7907 6-(25,10,1176) (complement has $\lambda=2700$)

derived from number 7905 |

7905 7-(26,11,1176) (complement has $\lambda=2700$)

$P\Gamma L(2,25)$(>=1 isom. type) |

3286 5-(24,9,1188) (complement has $\lambda=2688$)

$PGL(2,23)$ (>1 isomorphism types) |

5562 5-(22,9,1190) (selfcomplementary)

design of number 5561 with respect to smaller t |

complementary design of number 5561 with respect to smaller t |

derived from number 5585 |

derived from complement of number 5585 |

residual design of number 5660 |

residual design of complement of number 5660 |

5564 5-(22,10,1190) (complement has $\lambda=4998$)

design of number 5563 with respect to smaller t |

derived from number 11494 |

5585 6-(23,10,1190) (selfcomplementary)

residual 7-(24,10,340) Halving of the complete design |

residual design of number 7846 |

residual design of complement of number 7846 |

11494 6-(23,11,1190) (complement has $\lambda=4998$)

TvT: 6-(22,10,350) $\cup$ 6-(22,11,840) |

derived from number 11497 |

11497 7-(24,12,1190) (complement has $\lambda=4998$)

Alltop construction for design number 11494 |

3290 5-(24,9,1194) (complement has $\lambda=2682$)

$PGL(2,23)$ (>1 isomorphism types) |

1613 5-(20,10,1197) (complement has $\lambda=1806$)

Tran van Trung construction with supplementary design for design number 1611 |

Alltop construction for design number 1612 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

8226 5-(25,9,1200) (complement has $\lambda=3645$)

derived from number 8222 |

8222 6-(26,10,1200) (complement has $\lambda=3645$)

derived from number 8220 |

8220 7-(27,11,1200) (complement has $\lambda=3645$)

$ASL(3,3)$ |

2069 5-(22,11,1204) (complement has $\lambda=11172$)

Alltop construction for design number 2066 |

5145 5-(32,8,1205) (complement has $\lambda=1720$)

$AGL(4,2)\times C_2$ |

10352 5-(38,8,1208) (complement has $\lambda=4248$)

derived from number 10347 |

10347 6-(39,9,1208) (complement has $\lambda=4248$)

derived from number 10345 |

10345 7-(40,10,1208) (complement has $\lambda=4248$)

$PSL(4,3)$ (many isomorphism types) |

8239 5-(25,9,1215) (complement has $\lambda=3630$)

derived from number 8237 |

8237 6-(26,10,1215) (complement has $\lambda=3630$)

derived from number 8236 |

8236 7-(27,11,1215) (complement has $\lambda=3630$)

\cite{Sebille98} $AGL(3,3)$ |

1689 5-(20,10,1218) (complement has $\lambda=1785$)

\cite{Krameretal85} $PSL(2,19)$ |

Alltop construction for design number 1691 |

design of number 5539 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5540 |

5359 5-(46,8,1220) (complement has $\lambda=9440$)

$M_{23}\times Id_2$ |

3298 5-(24,9,1224) (complement has $\lambda=2652$)

$PGL(2,23)$ (>1 isomorphism types) |

residual design of number 8002 |

3724 5-(25,10,1224) (complement has $\lambda=14280$)

TvT: 5-(24,9,306) $\cup$ 5-(24,10,918) |

6834 5-(27,9,1225) (complement has $\lambda=6090$)

derived from number 6832 |

6832 6-(28,10,1225) (complement has $\lambda=6090$)

$P\Gamma L(2,27)$ |

1834 5-(21,11,1232) (complement has $\lambda=6776$)

supplementary design of number 1833 |

1618 5-(20,10,1239) (complement has $\lambda=1764$)

Tran van Trung construction with supplementary design for design number 1615 |

Alltop construction for design number 1617 |

\cite{Krameretal85} |

844 5-(25,10,1248) (complement has $\lambda=14256$)

TvT: 5-(24,9,312) $\cup$ 5-(24,10,936) |

1697 5-(20,10,1260) (complement has $\lambda=1743$)

\cite{Krameretal85} $PGL(2,19)$ |

Alltop construction for design number 1699 |

2182 5-(22,10,1260) (complement has $\lambda=4928$)

$PGL(2,19)++$ |

2076 5-(22,11,1260) (complement has $\lambda=11116$)

Alltop construction for design number 2073 |

10835 5-(23,11,1260) (complement has $\lambda=17304$)

TvT: 5-(22,10,420) $\cup$ 5-(22,11,840) |

3305 5-(24,9,1260) (complement has $\lambda=2616$)

$PGL(2,23)$ (>1 isomorphism types) |

3975 5-(26,9,1260) (complement has $\lambda=4725$)

$PGL(2,25)$ |

design of number 6306 with respect to smaller t |

derived from number 8010 |

857 5-(26,10,1260) (complement has $\lambda=19089$)

TvT: 5-(25,9,300) $\cup$ 5-(25,10,960) |

8010 6-(27,10,1260) (complement has $\lambda=4725$)

design of number 8009 with respect to smaller t |

7333 5-(28,9,1260) (complement has $\lambda=7595$)

residual design of number 7331 |

9494 5-(32,8,1260) (complement has $\lambda=1665$)

derived from number 9490 |

design of number 9491 with respect to smaller t |

9420 5-(33,8,1260) (complement has $\lambda=2016$)

design of number 9417 with respect to smaller t |

derived from number 9610 |

9490 6-(33,9,1260) (complement has $\lambda=1665$)

design of number 9489 with respect to smaller t |

9610 6-(34,9,1260) (complement has $\lambda=2016$)

design of number 9609 with respect to smaller t |

derived from number 10667 |

10667 7-(35,10,1260) (complement has $\lambda=2016$)

derived from number 10666 |

10666 8-(36,11,1260) (complement has $\lambda=2016$)

$Sp(6,2)_36$ (many isomorphism types) Betten, Laue, Suleiman, Wassermann 1997 |

3309 5-(24,9,1266) (complement has $\lambda=2610$)

$M_{11}_{12}\times id_2$ |

9537 5-(31,8,1280) (complement has $\lambda=1320$)

residual design of number 9531 |

derived from number 9532 |

9532 6-(32,9,1280) (complement has $\lambda=1320$)

residual design of number 9529 |

5363 5-(46,8,1280) (complement has $\lambda=9380$)

$M_{23}\times Id_2$ |

1625 5-(20,10,1281) (complement has $\lambda=1722$)

Tran van Trung construction with supplementary design for design number 1622 |

Alltop construction for design number 1624 |

\cite{Krameretal85} $PSL(2,19)$ |

3313 5-(24,9,1284) (complement has $\lambda=2592$)

$PGL(2,23)$ (>1 isomorphism types) |

2281 5-(22,11,1288) (complement has $\lambda=11088$)

\cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types |

Alltop construction for design number 2283 |

3317 5-(24,9,1296) (complement has $\lambda=2580$)

$M_{11}_{12}\times id_2$ |

$PGL(2,23)$ (>1 isomorphism types) |

residual design of number 6278 |

derived from number 10501 |

10501 6-(25,10,1296) (complement has $\lambda=2580$)

derived from number 10499 |

10499 7-(26,11,1296) (complement has $\lambda=2580$)

derived from number 10498 |

10498 8-(27,12,1296) (complement has $\lambda=2580$)

$ASL(3,3)$ 8672 solutions 4336 isomorphism types |

10372 5-(38,8,1296) (complement has $\lambda=4160$)

derived from number 10367 |

10367 6-(39,9,1296) (complement has $\lambda=4160$)

derived from number 10365 |

10365 7-(40,10,1296) (complement has $\lambda=4160$)

$PSL(4,3)$ (many isomorphism types) |

5013 5-(31,9,1300) (complement has $\lambda=13650$)

TvT: 5-(30,8,200) $\cup$ 5-(30,9,1100) |

5149 5-(32,8,1300) (complement has $\lambda=1625$)

$AGL(4,2)\times C_2$ |

1701 5-(20,10,1302) (complement has $\lambda=1701$)

\cite{Krameretal85} $PGL(2,19)$ |

Alltop construction for design number 1703 |

\cite{TranvanTrung86} |

design of number 5544 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5545 |

2189 5-(22,10,1302) (complement has $\lambda=4886$)

$PGL(2,19)++$ |

3321 5-(24,9,1302) (complement has $\lambda=2574$)

$PGL(2,23)$ (>1 isomorphism types) |

8249 5-(25,9,1305) (complement has $\lambda=3540$)

derived from number 8247 |

8247 6-(26,10,1305) (complement has $\lambda=3540$)

derived from number 8246 |

8246 7-(27,11,1305) (complement has $\lambda=3540$)

\cite{Sebille98} $AGL(3,3)$ |

9514 5-(32,8,1305) (complement has $\lambda=1620$)

derived from number 9510 |

design of number 9511 with respect to smaller t |

9510 6-(33,9,1305) (complement has $\lambda=1620$)

design of number 9509 with respect to smaller t |

3328 5-(24,9,1320) (complement has $\lambda=2556$)

$PGL(2,23)$ (>1 isomorphism types) |

1631 5-(20,10,1323) (complement has $\lambda=1680$)

Tran van Trung construction with supplementary design for design number 1629 |

Alltop construction for design number 1630 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

design of number 5529 with respect to smaller t |

3899 5-(26,10,1323) (complement has $\lambda=19026$)

TvT: 5-(25,9,315) $\cup$ 5-(25,10,1008) |

3332 5-(24,9,1332) (complement has $\lambda=2544$)

$PGL(2,23)$ (>1 isomorphism types) |

8263 5-(25,9,1335) (complement has $\lambda=3510$)

derived from number 8258 |

8258 6-(26,10,1335) (complement has $\lambda=3510$)

derived from number 8256 |

8256 7-(27,11,1335) (complement has $\lambda=3510$)

$ASL(3,3)$ |

1635 5-(20,10,1344) (complement has $\lambda=1659$)

Tran van Trung construction with supplementary design for design number 1633 |

Alltop construction for design number 1634 |

\cite{TranvanTrung86} |

1802 5-(21,10,1344) (complement has $\lambda=3024$)

TvT: 5-(20,9,420) $\cup$ 5-(20,10,924) |

2083 5-(22,11,1344) (complement has $\lambda=11032$)

Alltop construction for design number 2080 |

$PSL(3,4)+$ 9 isomorphism types |

3336 5-(24,9,1350) (complement has $\lambda=2526$)

$PGL(2,23)$ (>1 isomorphism types) |

8278 5-(25,9,1350) (complement has $\lambda=3495$)

derived from number 8276 |

8276 6-(26,10,1350) (complement has $\lambda=3495$)

derived from number 8275 |

8275 7-(27,11,1350) (complement has $\lambda=3495$)

\cite{Sebille98} $AGL(3,3)$ |

3340 5-(24,9,1356) (complement has $\lambda=2520$)

$PGL(2,23)$ (>1 isomorphism types) |

derived from number 7920 |

7920 6-(25,10,1356) (complement has $\lambda=2520$)

derived from number 7918 |

7918 7-(26,11,1356) (complement has $\lambda=2520$)

$P\Gamma L(2,25)$(>=1 isom. type) |

1639 5-(20,10,1365) (complement has $\lambda=1638$)

Tran van Trung construction with supplementary design for design number 1637 |

Alltop construction for design number 1638 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

3344 5-(24,9,1368) (complement has $\lambda=2508$)

$PGL(2,23)$ (>1 isomorphism types) |

design of number 7885 with respect to smaller t |

derived from number 7889 |

residual design of number 7896 |

11032 5-(24,10,1368) (complement has $\lambda=10260$)

TvT: 5-(23,9,360) $\cup$ 5-(23,10,1008) |

10893 5-(25,10,1368) (complement has $\lambda=14136$)

TvT: 5-(24,9,342) $\cup$ 5-(24,10,1026) |

7889 6-(25,10,1368) (complement has $\lambda=2508$)

design of number 7888 with respect to smaller t |

residual design of number 7901 |

2090 5-(22,11,1372) (complement has $\lambda=11004$)

Alltop construction for design number 2087 |

3348 5-(24,9,1374) (complement has $\lambda=2502$)

$PGL(2,23)$ (>1 isomorphism types) |

8291 5-(25,9,1380) (complement has $\lambda=3465$)

derived from number 8286 |

8286 6-(26,10,1380) (complement has $\lambda=3465$)

derived from number 8284 |

8284 7-(27,11,1380) (complement has $\lambda=3465$)

$ASL(3,3)$ |

5367 5-(46,8,1380) (complement has $\lambda=9280$)

$M_{23}\times Id_2$ |

1644 5-(20,10,1386) (complement has $\lambda=1617$)

Tran van Trung construction with supplementary design for design number 1641 |

Alltop construction for design number 1643 |

\cite{Krameretal85} $PGL(2,19)$ |

residual design of number 5581 |

derived from number 5582 |

5582 6-(21,11,1386) (complement has $\lambda=1617$)

residual design of number 5580 |

supplementary design of number 5581 |

2196 5-(22,10,1386) (complement has $\lambda=4802$)

$PGL(2,19)++$ |

11020 5-(23,11,1386) (complement has $\lambda=17178$)

TvT: 5-(22,10,462) $\cup$ 5-(22,11,924) |

3355 5-(24,9,1386) (complement has $\lambda=2490$)

$PGL(2,23)$ (>1 isomorphism types) |

3359 5-(24,9,1404) (complement has $\lambda=2472$)

$PGL(2,23)$ (>1 isomorphism types) |

1705 5-(20,10,1407) (complement has $\lambda=1596$)

\cite{Krameretal85} $PSL(2,19)$ |

Alltop construction for design number 1707 |

design of number 5548 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5549 |

3363 5-(24,9,1416) (complement has $\lambda=2460$)

$PGL(2,23)$ (>1 isomorphism types) |

3367 5-(24,9,1422) (complement has $\lambda=2454$)

$PGL(2,23)$ (>1 isomorphism types) |

6276 5-(25,9,1425) (complement has $\lambda=3420$)

design of number 6275 with respect to smaller t |

9620 5-(32,8,1425) (complement has $\lambda=1500$)

residual design of number 9615 |

derived from number 9616 |

9616 6-(33,9,1425) (complement has $\lambda=1500$)

residual design of number 9613 |

1651 5-(20,10,1428) (complement has $\lambda=1575$)

Tran van Trung construction with supplementary design for design number 1648 |

Alltop construction for design number 1650 |

\cite{Krameretal85} $PGL(2,19)$ |

2203 5-(22,10,1428) (complement has $\lambda=4760$)

\cite{Kreher95} $PGL(2,19)++$ |

TvT: 5-(21,9,420) $\cup$ 5-(21,10,1008) \cite{TranvanTrung86} |

2321 5-(23,11,1428) (complement has $\lambda=17136$)

TvT: 5-(22,10,476) $\cup$ 5-(22,11,952) |

8005 5-(24,9,1428) (complement has $\lambda=2448$)

residual design of number 8004 |

3371 5-(24,9,1434) (complement has $\lambda=2442$)

$PGL(2,23)$ (>1 isomorphism types) |

7842 5-(23,9,1440) (complement has $\lambda=1620$)

derived from number 7838 |

design of number 7839 with respect to smaller t |

residual design of number 7887 |

7838 6-(24,10,1440) (complement has $\lambda=1620$)

design of number 7837 with respect to smaller t |

residual design of number 7891 |

3873 5-(25,9,1440) (complement has $\lambda=3405$)

TvT: 5-(24,8,288) $\cup$ 5-(24,9,1152) |

derived from number 8299 |

3935 5-(26,12,1440) (complement has $\lambda=114840$)

TvT: 5-(25,11,480) $\cup$ 5-(25,12,960) |

8299 6-(26,10,1440) (complement has $\lambda=3405$)

derived from number 8298 |

8298 7-(27,11,1440) (complement has $\lambda=3405$)

\cite{Sebille98} $AGL(3,3)$ |

9534 5-(32,8,1440) (complement has $\lambda=1485$)

derived from number 9530 |

design of number 9531 with respect to smaller t |

9530 6-(33,9,1440) (complement has $\lambda=1485$)

design of number 9529 with respect to smaller t |

10691 5-(37,8,1440) (complement has $\lambda=3520$)

derived from number 10682 |

10682 6-(38,9,1440) (complement has $\lambda=3520$)

derived from number 10677 |

10677 7-(39,10,1440) (complement has $\lambda=3520$)

derived from number 10675 |

10675 8-(40,11,1440) (complement has $\lambda=3520$)

$PSL(4,3)$ (>= 89000 isomorphism types) Betten, Laue, Wassermann 1997 |

5371 5-(46,8,1440) (complement has $\lambda=9220$)

$M_{23}\times Id_2$ |

5153 5-(32,8,1445) (complement has $\lambda=1480$)

$AGL(4,2)\times C_2$ |

3377 5-(24,9,1446) (complement has $\lambda=2430$)

$PSL(2,23)$ (>1 isomorphism types) |

1709 5-(20,10,1449) (complement has $\lambda=1554$)

\cite{Krameretal85} |

Alltop construction for design number 1711 |

508 5-(22,11,1456) (complement has $\lambda=10920$)

Alltop construction for design number 505 |

PSL(3,4)+ Alltop construction from 4-(21,10,1456) |

\cite{Kreher95} $PSL(3,4)+$ $PGL(2,19)++$ |

1664 5-(20,10,1470) (complement has $\lambda=1533$)

Tran van Trung construction with supplementary design for design number 1662 |

Alltop construction for design number 1663 |

\cite{Krameretal85} $PSL(2,19)$ |

\cite{TranvanTrung86} |

8307 5-(25,9,1470) (complement has $\lambda=3375$)

derived from number 8306 |

8306 6-(26,10,1470) (complement has $\lambda=3375$)

derived from number 8305 |

8305 7-(27,11,1470) (complement has $\lambda=3375$)

\cite{Sebille98} $AGL(3,3)$ |

7339 5-(28,9,1470) (complement has $\lambda=7385$)

residual design of number 7337 |

3381 5-(24,9,1476) (complement has $\lambda=2400$)

$PGL(2,23)$ (>1 isomorphism types) |

3385 5-(24,9,1482) (complement has $\lambda=2394$)

$PGL(2,23)$ (>1 isomorphism types) |

8312 5-(25,9,1485) (complement has $\lambda=3360$)

derived from number 8310 |

8310 6-(26,10,1485) (complement has $\lambda=3360$)

derived from number 8309 |

8309 7-(27,11,1485) (complement has $\lambda=3360$)

\cite{Sebille98} $AGL(3,3)$ |

1668 5-(20,10,1491) (complement has $\lambda=1512$)

Tran van Trung construction with supplementary design for design number 1666 |

Alltop construction for design number 1667 |

\cite{Krameretal85} $PGL(2,19)$ |

\cite{TranvanTrung86} |

3389 5-(24,9,1494) (complement has $\lambda=2382$)

$PGL(2,23)$ (>1 isomorphism types) |

3396 5-(24,9,1500) (complement has $\lambda=2376$)

$M_{11}_{12}\times id_2$ |

3400 5-(24,9,1506) (complement has $\lambda=2370$)

$PSL(2,23)$ (>1 isomorphism types) |

1852 5-(21,10,1512) (complement has $\lambda=2856$)

$PGL(2,19)+$ |

derived from number 5572 |

2205 5-(22,10,1512) (complement has $\lambda=4676$)

$PGL(2,19)++$ |

2099 5-(22,11,1512) (complement has $\lambda=10864$)

Alltop construction for design number 2096 |

\cite{Kreher95} $PSL(3,4)+$ |

5572 6-(22,11,1512) (complement has $\lambda=2856$)

$PGL(2,19)++$ |

7332 5-(29,9,1512) (complement has $\lambda=9114$)

design of number 7331 with respect to smaller t |

derived from number 7458 |

residual design of number 7555 |

7458 6-(30,10,1512) (complement has $\lambda=9114$)

$P\Gamma L(2,27)++$ (>= 168 isom. types) \cite{Bettenetal97b} |

8324 5-(25,9,1515) (complement has $\lambda=3330$)

derived from number 8319 |

8319 6-(26,10,1515) (complement has $\lambda=3330$)

derived from number 8317 |

8317 7-(27,11,1515) (complement has $\lambda=3330$)

$ASL(3,3)$ |

3404 5-(24,9,1518) (complement has $\lambda=2358$)

$PGL(2,23)$ (>1 isomorphism types) |

3408 5-(24,9,1524) (complement has $\lambda=2352$)

$PGL(2,23)$ (>1 isomorphism types) |

5661 5-(23,9,1530) (selfcomplementary)

design of number 5660 with respect to smaller t |

complementary design of number 5660 with respect to smaller t |

derived from number 5662 |

derived from complement of number 5662 |

residual design of number 5787 |

residual design of complement of number 5787 |

3412 5-(24,9,1530) (complement has $\lambda=2346$)

$PGL(2,23)$ (>1 isomorphism types) |

5662 6-(24,10,1530) (selfcomplementary)

PSL(2,23) (>=1 isom. types) Halving of the complete design |

design of number 7846 with respect to smaller t |

complementary design of number 7846 with respect to smaller t |

6311 5-(25,9,1530) (complement has $\lambda=3315$)

residual design of number 6309 |

design of number 8002 with respect to smaller t |

7940 5-(24,9,1536) (complement has $\lambda=2340$)

derived from number 7936 |

7936 6-(25,10,1536) (complement has $\lambda=2340$)

derived from number 7934 |

7934 7-(26,11,1536) (complement has $\lambda=2340$)

$P\Gamma L(2,25)$(>=1 isom. type) |

1841 5-(21,11,1540) (complement has $\lambda=6468$)

supplementary design of number 1840 |

residual design of number 5570 |

2106 5-(22,11,1540) (complement has $\lambda=10836$)

Alltop construction for design number 2103 |

4135 5-(27,9,1540) (complement has $\lambda=5775$)

TvT: 5-(26,8,280) $\cup$ 5-(26,9,1260) |

derived from number 4189 |

4189 6-(28,10,1540) (complement has $\lambda=5775$)

\cite{Sebille98} $P\Gamma L(2,25)\cup S_2$ |

\cite{Sebille98} $P\Gamma L(2,25)\cup S_2$ |

7683 5-(35,8,1540) (complement has $\lambda=2520$)

derived from number 7681 |

7681 6-(36,9,1540) (complement has $\lambda=2520$)

$Sp(6,2)_36$ (many isom. types) |

3416 5-(24,9,1548) (complement has $\lambda=2328$)

$PGL(2,23)$ (>1 isomorphism types) |

10838 5-(23,11,1554) (complement has $\lambda=17010$)

TvT: 5-(22,10,518) $\cup$ 5-(22,11,1036) |

3422 5-(24,9,1560) (complement has $\lambda=2316$)

$PGL(2,23)$ (>1 isomorphism types) |

3841 5-(25,13,1560) (complement has $\lambda=124410$)

supplementary design of number 3840 |

3426 5-(24,9,1566) (complement has $\lambda=2310$)

$M_{11}_{12}\times id_2$ |

10392 5-(38,8,1568) (complement has $\lambda=3888$)

derived from number 10387 |

10387 6-(39,9,1568) (complement has $\lambda=3888$)

derived from number 10385 |

10385 7-(40,10,1568) (complement has $\lambda=3888$)

$PSL(4,3)$ (many isomorphism types) |

8340 5-(25,9,1575) (complement has $\lambda=3270$)

derived from number 8338 |

8338 6-(26,10,1575) (complement has $\lambda=3270$)

derived from number 8337 |

8337 7-(27,11,1575) (complement has $\lambda=3270$)

\cite{Sebille98} $AGL(3,3)$ |

4458 5-(28,9,1575) (complement has $\lambda=7280$)

$Sp(6,2)$ (1 isom. type) |

3430 5-(24,9,1578) (complement has $\lambda=2298$)

$PGL(2,23)$ (>1 isomorphism types) |

10830 5-(23,12,1584) (complement has $\lambda=30240$)

supplementary design of number 10829 |

3434 5-(24,9,1584) (complement has $\lambda=2292$)

$PGL(2,23)$ (>1 isomorphism types) |

2113 5-(22,11,1596) (complement has $\lambda=10780$)

Alltop construction for design number 2110 |

3438 5-(24,9,1596) (complement has $\lambda=2280$)

$PGL(2,23)$ (>1 isomorphism types) |

5234 5-(33,8,1596) (complement has $\lambda=1680$)

$P\Gamma L(2,32)$ |

derived from number 9614 |

design of number 9615 with respect to smaller t |

9614 6-(34,9,1596) (complement has $\lambda=1680$)

design of number 9613 with respect to smaller t |

3442 5-(24,9,1602) (complement has $\lambda=2274$)

$PGL(2,23)$ (>1 isomorphism types) |

8349 5-(25,9,1605) (complement has $\lambda=3240$)

derived from number 8347 |

8347 6-(26,10,1605) (complement has $\lambda=3240$)

derived from number 8346 |

8346 7-(27,11,1605) (complement has $\lambda=3240$)

\cite{Sebille98} $AGL(3,3)$ |

3446 5-(24,9,1608) (complement has $\lambda=2268$)

$PGL(2,23)$ (>1 isomorphism types) |

7345 5-(28,9,1610) (complement has $\lambda=7245$)

residual design of number 7343 |

3450 5-(24,9,1614) (complement has $\lambda=2262$)

$PSL(2,23)$ (>1 isomorphism types) |

3454 5-(24,9,1620) (complement has $\lambda=2256$)

$PGL(2,23)$ (>1 isomorphism types) |

6279 5-(25,9,1620) (complement has $\lambda=3225$)

design of number 6278 with respect to smaller t |

derived from number 8356 |

8356 6-(26,10,1620) (complement has $\lambda=3225$)

derived from number 8355 |

8355 7-(27,11,1620) (complement has $\lambda=3225$)

\cite{Sebille98} $AGL(3,3)$ |

2120 5-(22,11,1624) (complement has $\lambda=10752$)

Alltop construction for design number 2117 |

3458 5-(24,9,1632) (complement has $\lambda=2244$)

$PGL(2,23)$ (>1 isomorphism types) |

10963 5-(23,11,1638) (complement has $\lambda=16926$)

TvT: 5-(22,10,546) $\cup$ 5-(22,11,1092) |

3462 5-(24,9,1638) (complement has $\lambda=2238$)

$PGL(2,23)$ (>1 isomorphism types) |

239 5-(27,9,1645) (complement has $\lambda=5670$)

$ASL(3,3)^{13}$ |

8369 5-(25,9,1650) (complement has $\lambda=3195$)

derived from number 8364 |

8364 6-(26,10,1650) (complement has $\lambda=3195$)

derived from number 8362 |

8362 7-(27,11,1650) (complement has $\lambda=3195$)

$ASL(3,3)$ |

7644 5-(30,9,1650) (complement has $\lambda=11000$)

residual design of number 7641 |

3466 5-(24,9,1656) (complement has $\lambda=2220$)

$PGL(2,23)$ (>1 isomorphism types) |

10412 5-(38,8,1656) (complement has $\lambda=3800$)

derived from number 10407 |

10407 6-(39,9,1656) (complement has $\lambda=3800$)

derived from number 10405 |

10405 7-(40,10,1656) (complement has $\lambda=3800$)

$PSL(4,3)$ (many isomorphism types) |

3470 5-(24,9,1674) (complement has $\lambda=2202$)

$PGL(2,23)$ (>1 isomorphism types) |

2417 5-(24,10,1674) (complement has $\lambda=9954$)

$PSL(2,23)$ |

1809 5-(21,10,1680) (complement has $\lambda=2688$)

TvT: 5-(20,9,525) $\cup$ 5-(20,10,1155) \cite{TranvanTrung86} |

516 5-(22,11,1680) (complement has $\lambda=10696$)

Alltop construction for design number 513 |

PGL(3,4)+ Alltop construction from 4-(21,10,1680) |

\cite{Kreher95} $PSL(3,4)+$ $PGL(2,19)++$ |

10841 5-(23,11,1680) (complement has $\lambda=16884$)

TvT: 5-(22,10,560) $\cup$ 5-(22,11,1120) |

3474 5-(24,9,1680) (complement has $\lambda=2196$)

$M_{24}$ 1 isomorphism type |

3478 5-(24,9,1686) (complement has $\lambda=2190$)

$PGL(2,23)$ (>1 isomorphism types) |

3482 5-(24,9,1692) (complement has $\lambda=2184$)

$PGL(2,23)$ (>1 isomorphism types) |

2421 5-(24,10,1692) (complement has $\lambda=9936$)

$PSL(2,23)$ |

6333 5-(26,10,1701) (complement has $\lambda=18648$)

derived from number 6331 |

6331 6-(27,11,1701) (complement has $\lambda=18648$)

\cite{Sebille98} $AGL(3,3)$ |

3486 5-(24,9,1710) (complement has $\lambda=2166$)

$PGL(2,23)$ (>1 isomorphism types) |

7897 5-(25,9,1710) (complement has $\lambda=3135$)

design of number 7896 with respect to smaller t |

derived from number 7902 |

7902 6-(26,10,1710) (complement has $\lambda=3135$)

design of number 7901 with respect to smaller t |

derived from number 8376 |

8376 7-(27,11,1710) (complement has $\lambda=3135$)

\cite{Sebille98} $AGL(3,3)$ |

3490 5-(24,9,1716) (complement has $\lambda=2160$)

\cite{Driessen78} $M_{24}$ 1 isomorphism type |

$PGL(2,23)$ (>1 isomorphism types) |

derived from number 7953 |

7953 6-(25,10,1716) (complement has $\lambda=2160$)

derived from number 7951 |

7951 7-(26,11,1716) (complement has $\lambda=2160$)

$P\Gamma L(2,25)$(>=1 isom. type) |

5590 5-(22,10,1722) (complement has $\lambda=4466$)

derived from number 5587 |

5587 6-(23,11,1722) (complement has $\lambda=4466$)

PSL(2,19)+++ (>=1 isom. types) |

derived from number 5593 |

5593 7-(24,12,1722) (complement has $\lambda=4466$)

Alltop construction for design number 5587 |

3494 5-(24,9,1728) (complement has $\lambda=2148$)

$PGL(2,23)$ (>1 isomorphism types) |

residual design of number 10488 |

derived from number 10489 |

8020 5-(25,10,1728) (complement has $\lambda=13776$)

residual design of number 8017 |

derived from number 8018 |

10489 6-(25,10,1728) (complement has $\lambda=2148$)

residual design of number 10486 |

derived from number 10487 |

8018 6-(26,11,1728) (complement has $\lambda=13776$)

residual design of number 8016 |

10487 7-(26,11,1728) (complement has $\lambda=2148$)

residual design of number 10485 |

3497 5-(24,9,1740) (complement has $\lambda=2136$)

$PSL(2,23)$ (>1 isomorphism types) |

8381 5-(25,9,1740) (complement has $\lambda=3105$)

derived from number 8379 |

8379 6-(26,10,1740) (complement has $\lambda=3105$)

derived from number 8378 |

8378 7-(27,11,1740) (complement has $\lambda=3105$)

\cite{Sebille98} $AGL(3,3)$ |

3501 5-(24,9,1746) (complement has $\lambda=2130$)

$PSL(2,23)$ (>1 isomorphism types) |

3505 5-(24,9,1752) (complement has $\lambda=2124$)

$PGL(2,23)$ (>1 isomorphism types) |

8395 5-(25,9,1755) (complement has $\lambda=3090$)

derived from number 8390 |

8390 6-(26,10,1755) (complement has $\lambda=3090$)

derived from number 8388 |

8388 7-(27,11,1755) (complement has $\lambda=3090$)

$ASL(3,3)$ |

2130 5-(22,11,1764) (complement has $\lambda=10612$)

Alltop construction for design number 2127 |

$PGL(2,19)++$ |

11023 5-(23,11,1764) (complement has $\lambda=16800$)

TvT: 5-(22,10,588) $\cup$ 5-(22,11,1176) |

2425 5-(24,10,1764) (complement has $\lambda=9864$)

$PSL(2,23)$ |

7338 5-(29,9,1764) (complement has $\lambda=8862$)

design of number 7337 with respect to smaller t |

derived from number 7464 |

residual design of number 7558 |

7464 6-(30,10,1764) (complement has $\lambda=8862$)

$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b} |

3509 5-(24,9,1776) (complement has $\lambda=2100$)

$PSL(2,23)$ (>1 isomorphism types) |

2429 5-(24,10,1782) (complement has $\lambda=9846$)

$PSL(2,23)$ |

6315 5-(25,9,1785) (complement has $\lambda=3060$)

residual design of number 6314 |

design of number 8004 with respect to smaller t |

derived from number 8408 |

8408 6-(26,10,1785) (complement has $\lambda=3060$)

derived from number 8407 |

8407 7-(27,11,1785) (complement has $\lambda=3060$)

\cite{Sebille98} $AGL(3,3)$ |

3513 5-(24,9,1788) (complement has $\lambda=2088$)

$PGL(2,23)$ (>1 isomorphism types) |

2137 5-(22,11,1792) (complement has $\lambda=10584$)

Alltop construction for design number 2134 |

\cite{Kreher95} |

7556 5-(30,9,1800) (complement has $\lambda=10850$)

design of number 7555 with respect to smaller t |

derived from number 7578 |

7578 6-(31,10,1800) (complement has $\lambda=10850$)

(Tran van Trung construction): 6-(30,9,288) together with 6-(30,10,1512) \cite{Bettenetal97b} |

10844 5-(23,11,1806) (complement has $\lambda=16758$)

TvT: 5-(22,10,602) $\cup$ 5-(22,11,1204) |

3519 5-(24,9,1806) (complement has $\lambda=2070$)

$PGL(2,23)$ (>1 isomorphism types) |

3523 5-(24,9,1812) (complement has $\lambda=2064$)

$PGL(2,23)$ (>1 isomorphism types) |

3527 5-(24,9,1824) (complement has $\lambda=2052$)

$PGL(2,23)$ (>1 isomorphism types) |

design of number 7887 with respect to smaller t |

derived from number 7892 |

residual design of number 7899 |

11034 5-(25,10,1824) (complement has $\lambda=13680$)

TvT: 5-(24,9,456) $\cup$ 5-(24,10,1368) |

7892 6-(25,10,1824) (complement has $\lambda=2052$)

design of number 7891 with respect to smaller t |

residual design of number 7903 |

3531 5-(24,9,1830) (complement has $\lambda=2046$)

$PGL(2,23)$ (>1 isomorphism types) |

3535 5-(24,9,1836) (complement has $\lambda=2040$)

$PGL(2,23)$ (>1 isomorphism types) |

residual design of number 8008 |

3538 5-(24,9,1842) (complement has $\lambda=2034$)

$PGL(2,23)$ (>1 isomorphism types) |

8417 5-(25,9,1845) (complement has $\lambda=3000$)

derived from number 8415 |

8415 6-(26,10,1845) (complement has $\lambda=3000$)

derived from number 8414 |

8414 7-(27,11,1845) (complement has $\lambda=3000$)

\cite{Sebille98} $AGL(3,3)$ |

1861 5-(21,10,1848) (complement has $\lambda=2520$)

$PGL(2,19)+$ |

derived from number 5573 |

1850 5-(21,11,1848) (complement has $\lambda=6160$)

supplementary design of number 1849 |

residual design of number 5571 |

design of number 5577 with respect to smaller t |

2285 5-(22,11,1848) (complement has $\lambda=10528$)

\cite{Kreher95} |

Alltop construction for design number 2287 |

5573 6-(22,11,1848) (complement has $\lambda=2520$)

$PGL(2,19)++$ |

3541 5-(24,9,1848) (complement has $\lambda=2028$)

$PGL(2,23)$ (>1 isomorphism types) |

3544 5-(24,9,1860) (complement has $\lambda=2016$)

$M_{11}_{12}\times id_2$ |

$PSL(2,23)$ (>1 isomorphism types) |

3548 5-(24,9,1872) (complement has $\lambda=2004$)

$PGL(2,23)$ (>1 isomorphism types) |

8430 5-(25,9,1875) (complement has $\lambda=2970$)

derived from number 8425 |

8425 6-(26,10,1875) (complement has $\lambda=2970$)

derived from number 8423 |

8423 7-(27,11,1875) (complement has $\lambda=2970$)

$ASL(3,3)$ |

2144 5-(22,11,1876) (complement has $\lambda=10500$)

Alltop construction for design number 2141 |

3552 5-(24,9,1878) (complement has $\lambda=1998$)

$PGL(2,23)$ (>1 isomorphism types) |

2212 5-(22,10,1890) (complement has $\lambda=4298$)

$PGL(2,19)++$ |

10966 5-(23,11,1890) (complement has $\lambda=16674$)

TvT: 5-(22,10,630) $\cup$ 5-(22,11,1260) |

8444 5-(25,9,1890) (complement has $\lambda=2955$)

derived from number 8439 |

6310 5-(26,9,1890) (complement has $\lambda=4095$)

design of number 6309 with respect to smaller t |

residual design of number 8814 |

8439 6-(26,10,1890) (complement has $\lambda=2955$)

derived from number 8437 |

6844 5-(27,9,1890) (complement has $\lambda=5425$)

derived from number 6842 |

8437 7-(27,11,1890) (complement has $\lambda=2955$)

$ASL(3,3)$ |

6842 6-(28,10,1890) (complement has $\lambda=5425$)

$P\Gamma L(2,27)$ |

3556 5-(24,9,1896) (complement has $\lambda=1980$)

$PGL(2,23)$ (>1 isomorphism types) |

derived from number 7959 |

8597 5-(25,10,1896) (complement has $\lambda=13608$)

derived from number 8592 |

7959 6-(25,10,1896) (complement has $\lambda=1980$)

derived from number 7957 |

8592 6-(26,11,1896) (complement has $\lambda=13608$)

derived from number 8590 |

7957 7-(26,11,1896) (complement has $\lambda=1980$)

$P\Gamma L(2,25)$(>=1 isom. type) |

8590 7-(27,12,1896) (complement has $\lambda=13608$)

$ASL(3,3)$ 632 isomorphism types |

3560 5-(24,9,1902) (complement has $\lambda=1974$)

$PGL(2,23)$ (>1 isomorphism types) |

2219 5-(22,10,1904) (complement has $\lambda=4284$)

\cite{Kreher95} |

TvT: 5-(21,9,560) $\cup$ 5-(21,10,1344) |

1836 5-(22,11,1904) (complement has $\lambda=10472$)

Tran van Trung construction with supplementary design for design number 1833 |

Alltop construction for design number 1835 |

\cite{Kreher95} |

3564 5-(24,9,1908) (complement has $\lambda=1968$)

$PGL(2,23)$ (>1 isomorphism types) |

3567 5-(24,9,1914) (complement has $\lambda=1962$)

$PGL(2,23)$ (>1 isomorphism types) |

3571 5-(24,9,1920) (complement has $\lambda=1956$)

$PGL(2,23)$ (>1 isomorphism types) |

8459 5-(25,9,1920) (complement has $\lambda=2925$)

derived from number 8458 |

8458 6-(26,10,1920) (complement has $\lambda=2925$)

derived from number 8457 |

8457 7-(27,11,1920) (complement has $\lambda=2925$)

\cite{Sebille98} $AGL(3,3)$ |

3574 5-(24,9,1926) (complement has $\lambda=1950$)

$PGL(2,23)$ (>1 isomorphism types) |

derived from number 7965 |

7965 6-(25,10,1926) (complement has $\lambda=1950$)

derived from number 7963 |

7963 7-(26,11,1926) (complement has $\lambda=1950$)

$P\Gamma L(2,25)$(>=1 isom. type) |

2153 5-(22,11,1932) (complement has $\lambda=10444$)

Alltop construction for design number 2150 |

3578 5-(24,9,1932) (complement has $\lambda=1944$)

$PGL(2,23)$ (>1 isomorphism types) |

derived from number 10517 |

10517 6-(25,10,1932) (complement has $\lambda=1944$)

derived from number 10516 |

10516 7-(26,11,1932) (complement has $\lambda=1944$)

derived from number 10515 |

10515 8-(27,12,1932) (complement has $\lambda=1944$)

$ASL(3,3)$ |

7344 5-(29,9,1932) (complement has $\lambda=8694$)

design of number 7343 with respect to smaller t |

3582 5-(24,9,1938) (selfcomplementary)

$PSL(2,23)$ (>1 isomorphism types) halving of complete design! |

design of number 5787 with respect to smaller t |

complementary design of number 5787 with respect to smaller t |

derived from number 5788 |

derived from complement of number 5788 |

5788 6-(25,10,1938) (selfcomplementary)

TvT: 6-(24,9,408) $\cup$ 6-(24,10,1530) Halving of the complete design |

10833 5-(23,12,1944) (complement has $\lambda=29880$)

supplementary design of number 10832 |

8618 5-(25,10,1944) (complement has $\lambda=13560$)

derived from number 8616 |

8616 6-(26,11,1944) (complement has $\lambda=13560$)

derived from number 8615 |

8615 7-(27,12,1944) (complement has $\lambda=13560$)

$ASL(3,3)$ 1782 isomorphism types |

7642 5-(31,9,1950) (complement has $\lambda=13000$)

design of number 7641 with respect to smaller t |

2160 5-(22,11,1960) (complement has $\lambda=10416$)

Alltop construction for design number 2157 |

\cite{Kreher95} |

7703 5-(36,8,1975) (complement has $\lambda=2520$)

derived from number 7701 |

7701 6-(37,9,1975) (complement has $\lambda=2520$)

$Sp(6,2)_36+$ (many isom. types) |

8464 5-(25,9,1980) (complement has $\lambda=2865$)

derived from number 8462 |

8462 6-(26,10,1980) (complement has $\lambda=2865$)

derived from number 8461 |

8461 7-(27,11,1980) (complement has $\lambda=2865$)

\cite{Sebille98} $AGL(3,3)$ |

3883 5-(25,9,1995) (complement has $\lambda=2850$)

TvT: 5-(24,8,399) $\cup$ 5-(24,9,1596) |

9185 5-(27,9,1995) (complement has $\lambda=5320$)

residual design of number 9182 |

derived from number 9183 |

9183 6-(28,10,1995) (complement has $\lambda=5320$)

residual design of number 9180 |

8476 5-(25,9,2010) (complement has $\lambda=2835$)

derived from number 8471 |

8471 6-(26,10,2010) (complement has $\lambda=2835$)

derived from number 8469 |

8469 7-(27,11,2010) (complement has $\lambda=2835$)

$ASL(3,3)$ |

1870 5-(21,10,2016) (complement has $\lambda=2352$)

$PGL(2,19)+$ |

residual design of number 5569 |

derived from number 5574 |

design of number 5581 with respect to smaller t |

2167 5-(22,11,2016) (complement has $\lambda=10360$)

Alltop construction for design number 2164 |

\cite{Kreher95} |

5574 6-(22,11,2016) (complement has $\lambda=2352$)

$PGL(2,19)++$ |

design of number 5580 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5581 |

2328 5-(23,11,2016) (complement has $\lambda=16548$)

TvT: 5-(22,10,672) $\cup$ 5-(22,11,1344) |

10961 5-(23,12,2016) (complement has $\lambda=29808$)

supplementary design of number 10960 |

8490 5-(25,9,2025) (complement has $\lambda=2820$)

derived from number 8488 |

8488 6-(26,10,2025) (complement has $\lambda=2820$)

derived from number 8487 |

8487 7-(27,11,2025) (complement has $\lambda=2820$)

\cite{Sebille98} $AGL(3,3)$ |

7351 5-(28,9,2030) (complement has $\lambda=6825$)

residual design of number 7348 |

3886 5-(25,9,2040) (complement has $\lambda=2805$)

TvT: 5-(24,8,408) $\cup$ 5-(24,9,1632) |

2174 5-(22,11,2044) (complement has $\lambda=10332$)

Alltop construction for design number 2171 |

2441 5-(24,10,2052) (complement has $\lambda=9576$)

$PSL(2,23)$ (many isomorphism types) |

8499 5-(25,9,2055) (complement has $\lambda=2790$)

derived from number 8497 |

8497 6-(26,10,2055) (complement has $\lambda=2790$)

derived from number 8496 |

8496 7-(27,11,2055) (complement has $\lambda=2790$)

\cite{Sebille98} $AGL(3,3)$ |

10969 5-(23,11,2058) (complement has $\lambda=16506$)

TvT: 5-(22,10,686) $\cup$ 5-(22,11,1372) |

6343 5-(26,10,2079) (complement has $\lambda=18270$)

derived from number 6341 |

6341 6-(27,11,2079) (complement has $\lambda=18270$)

\cite{Sebille98} $AGL(3,3)$ |

2445 5-(24,10,2088) (complement has $\lambda=9540$)

$PSL(2,23)$ (many isomorphism types) |

2181 5-(22,11,2100) (complement has $\lambda=10276$)

Alltop construction for design number 2178 |

$PGL(2,19)++$ |

4462 5-(28,9,2100) (complement has $\lambda=6755$)

$Sp(6,2)$ (2 isom. types) |

7559 5-(30,9,2100) (complement has $\lambda=10550$)

design of number 7558 with respect to smaller t |

derived from number 7581 |

7581 6-(31,10,2100) (complement has $\lambda=10550$)

(Tran van Trung construction): 6-(30,9,336) together with 6-(30,10,1764) \cite{Bettenetal97b} |

3997 5-(27,12,2112) (complement has $\lambda=168432$)

TvT: 5-(26,11,672) $\cup$ 5-(26,12,1440) |

8513 5-(25,9,2115) (complement has $\lambda=2730$)

derived from number 8508 |

8508 6-(26,10,2115) (complement has $\lambda=2730$)

derived from number 8506 |

8506 7-(27,11,2115) (complement has $\lambda=2730$)

$ASL(3,3)$ |

552 5-(22,11,2128) (complement has $\lambda=10248$)

Alltop construction for design number 549 |

PGL(3,4)+ Alltop construction from 4-(21,10,2128) |

9197 5-(27,9,2130) (complement has $\lambda=5185$)

derived from number 9192 |

9192 6-(28,10,2130) (complement has $\lambda=5185$)

derived from number 9190 |

9190 7-(29,11,2130) (complement has $\lambda=5185$)

$P\Gamma L(2,27)+$ (>= 1 isom. types) |

5610 5-(22,10,2142) (complement has $\lambda=4046$)

derived from number 5607 |

5607 6-(23,11,2142) (complement has $\lambda=4046$)

PSL(2,19)+++ (>=1 isom. types) |

derived from number 5612 |

5612 7-(24,12,2142) (complement has $\lambda=4046$)

Alltop construction for design number 5607 |

8527 5-(25,9,2145) (complement has $\lambda=2700$)

derived from number 8526 |

8526 6-(26,10,2145) (complement has $\lambda=2700$)

derived from number 8525 |

8525 7-(27,11,2145) (complement has $\lambda=2700$)

\cite{Sebille98} $AGL(3,3)$ |

4149 5-(28,10,2149) (complement has $\lambda=31500$)

\cite{Sebille98} $Sp(6,2)$ 1 isomorphism type |

10836 5-(23,12,2160) (complement has $\lambda=29664$)

supplementary design of number 10835 |

3889 5-(25,9,2160) (complement has $\lambda=2685$)

TvT: 5-(24,8,432) $\cup$ 5-(24,9,1728) |

derived from number 8530 |

design of number 10488 with respect to smaller t |

8033 5-(25,10,2160) (complement has $\lambda=13344$)

residual design of number 8027 |

derived from number 8028 |

8530 6-(26,10,2160) (complement has $\lambda=2685$)

derived from number 8529 |

design of number 10486 with respect to smaller t |

8028 6-(26,11,2160) (complement has $\lambda=13344$)

residual design of number 8025 |

8529 7-(27,11,2160) (complement has $\lambda=2685$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 10485 with respect to smaller t |

6854 5-(27,9,2170) (complement has $\lambda=5145$)

derived from number 6852 |

6852 6-(28,10,2170) (complement has $\lambda=5145$)

$P\Gamma L(2,27)$ |

1816 5-(21,10,2184) (selfcomplementary)

$PSL(3,2)\times S_3$ Halving of the complete design |

derived from number 1822 |

derived from complement of number 1822 |

7836 5-(22,10,2184) (complement has $\lambda=4004$)

residual design of number 7832 |

2289 5-(22,11,2184) (complement has $\lambda=10192$)

\cite{Kreher95} |

Alltop construction for design number 2291 |

1822 6-(22,11,2184) (selfcomplementary)

Alltop construction for design number 1816 |

Alltop |

10847 5-(23,11,2184) (complement has $\lambda=16380$)

TvT: 5-(22,10,728) $\cup$ 5-(22,11,1456) |

8539 5-(25,9,2190) (complement has $\lambda=2655$)

derived from number 8537 |

8537 6-(26,10,2190) (complement has $\lambda=2655$)

derived from number 8536 |

8536 7-(27,11,2190) (complement has $\lambda=2655$)

\cite{Sebille98} $AGL(3,3)$ |

7713 5-(36,8,2200) (complement has $\lambda=2295$)

derived from number 7711 |

7711 6-(37,9,2200) (complement has $\lambda=2295$)

$Sp(6,2)_36+$ (many isom. types) |

255 5-(26,9,2205) (complement has $\lambda=3780$)

derived from number 253 |

$PGL(2,25)$ |

design of number 6314 with respect to smaller t |

residual design of number 6831 |

6864 5-(27,9,2205) (complement has $\lambda=5110$)

derived from number 6862 |

253 6-(27,10,2205) (complement has $\lambda=3780$)

$ASL(3,3)^{13}$ |

TvT: 6-(26,9,420) $\cup$ 6-(26,10,1785) |

\cite{Sebille98} $AGL(3,3)$ |

6862 6-(28,10,2205) (complement has $\lambda=5110$)

$P\Gamma L(2,27)$ |

5621 5-(22,10,2226) (complement has $\lambda=3962$)

derived from number 5618 |

5618 6-(23,11,2226) (complement has $\lambda=3962$)

PSL(2,19)+++ (>=1 isom. types) |

derived from number 5624 |

5624 7-(24,12,2226) (complement has $\lambda=3962$)

Alltop construction for design number 5618 |

4466 5-(28,9,2240) (complement has $\lambda=6615$)

$Sp(6,2)$ (2 isom. types) |

residual design of number 7358 |

8552 5-(25,9,2250) (complement has $\lambda=2595$)

derived from number 8547 |

8547 6-(26,10,2250) (complement has $\lambda=2595$)

derived from number 8545 |

8545 7-(27,11,2250) (complement has $\lambda=2595$)

$ASL(3,3)$ |

11026 5-(23,11,2268) (complement has $\lambda=16296$)

TvT: 5-(22,10,756) $\cup$ 5-(22,11,1512) |

6353 5-(26,10,2268) (complement has $\lambda=18081$)

derived from number 6351 |

design of number 8017 with respect to smaller t |

6351 6-(27,11,2268) (complement has $\lambda=18081$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8016 with respect to smaller t |

7900 5-(25,9,2280) (complement has $\lambda=2565$)

design of number 7899 with respect to smaller t |

derived from number 7904 |

7904 6-(26,10,2280) (complement has $\lambda=2565$)

design of number 7903 with respect to smaller t |

derived from number 8563 |

8563 7-(27,11,2280) (complement has $\lambda=2565$)

\cite{Sebille98} $AGL(3,3)$ |

277 5-(25,9,2295) (complement has $\lambda=2550$)

residual design of number 274 |

derived from number 275 |

design of number 8008 with respect to smaller t |

275 6-(26,10,2295) (complement has $\lambda=2550$)

residual design of number 273 |

derived from number 8565 |

8565 7-(27,11,2295) (complement has $\lambda=2550$)

\cite{Sebille98} $AGL(3,3)$ |

480 5-(22,11,2296) (complement has $\lambda=10080$)

Alltop construction for design number 477 |

$PSL(3,4)+$ |

\cite{Kreher95} |

PSL(3,4)+ Alltop construction from 4-(21,10,2296) |

42 5-(30,9,2300) (complement has $\lambda=10350$)

TvT: 5-(29,8,368) $\cup$ 5-(29,9,1932) |

10432 5-(38,8,2304) (complement has $\lambda=3152$)

derived from number 10427 |

10427 6-(39,9,2304) (complement has $\lambda=3152$)

derived from number 10425 |

10425 7-(40,10,2304) (complement has $\lambda=3152$)

$PSL(4,3)$ (many isomorphism types) |

5583 5-(20,11,2310) (complement has $\lambda=2695$)

residual design of number 5582 |

10850 5-(23,11,2310) (complement has $\lambda=16254$)

TvT: 5-(22,10,770) $\cup$ 5-(22,11,1540) |

2669 5-(24,11,2310) (complement has $\lambda=24822$)

\cite{Bluskov} |

8815 5-(27,9,2310) (complement has $\lambda=5005$)

design of number 8814 with respect to smaller t |

8572 5-(25,9,2325) (complement has $\lambda=2520$)

derived from number 8570 |

8570 6-(26,10,2325) (complement has $\lambda=2520$)

derived from number 8569 |

8569 7-(27,11,2325) (complement has $\lambda=2520$)

\cite{Sebille98} $AGL(3,3)$ |

7364 5-(28,9,2345) (complement has $\lambda=6510$)

residual design of number 7361 |

468 5-(22,11,2352) (complement has $\lambda=10024$)

Alltop construction for design number 465 |

$PSL(3,4)+$ |

\cite{Kreher95} |

PSL(3,4)+ Alltop construction from 4-(21,10,2352) |

11021 5-(23,12,2376) (complement has $\lambda=29448$)

supplementary design of number 11020 |

2221 5-(22,10,2380) (complement has $\lambda=3808$)

\cite{Kreher95} |

TvT: 5-(21,9,700) $\cup$ 5-(21,10,1680) |

1845 5-(22,11,2380) (complement has $\lambda=9996$)

Tran van Trung construction with supplementary design for design number 1840 |

Alltop construction for design number 1842 |

\cite{Kreher95} |

design of number 5570 with respect to smaller t |

residual design of number 11494 |

derived from number 11495 |

11495 6-(23,12,2380) (complement has $\lambda=9996$)

supplementary design of number 11494 |

residual design of number 11497 |

8581 5-(25,9,2385) (complement has $\lambda=2460$)

derived from number 8579 |

8579 6-(26,10,2385) (complement has $\lambda=2460$)

derived from number 8578 |

8578 7-(27,11,2385) (complement has $\lambda=2460$)

\cite{Sebille98} $AGL(3,3)$ |

10972 5-(23,11,2394) (complement has $\lambda=16170$)

TvT: 5-(22,10,798) $\cup$ 5-(22,11,1596) |

11033 5-(24,11,2394) (complement has $\lambda=24738$)

TvT: 5-(23,10,756) $\cup$ 5-(23,11,1638) |

8588 5-(25,9,2415) (complement has $\lambda=2430$)

derived from number 8586 |

8586 6-(26,10,2415) (complement has $\lambda=2430$)

derived from number 8585 |

8585 7-(27,11,2415) (complement has $\lambda=2430$)

\cite{Sebille98} $AGL(3,3)$ |

4470 5-(28,9,2415) (complement has $\lambda=6440$)

$Sp(6,2)$ (5 isom. types) |

residual design of number 7371 |

derived from number 9181 |

design of number 9182 with respect to smaller t |

9181 6-(29,10,2415) (complement has $\lambda=6440$)

design of number 9180 with respect to smaller t |

10853 5-(23,11,2436) (complement has $\lambda=16128$)

TvT: 5-(22,10,812) $\cup$ 5-(22,11,1624) |

7349 5-(29,9,2436) (complement has $\lambda=8190$)

design of number 7348 with respect to smaller t |

2322 5-(23,12,2448) (complement has $\lambda=29376$)

supplementary design of number 2321 |

8051 5-(25,10,2448) (complement has $\lambda=13056$)

residual design of number 8047 |

derived from number 8048 |

8048 6-(26,11,2448) (complement has $\lambda=13056$)

residual design of number 8045 |

1803 5-(21,11,2464) (complement has $\lambda=5544$)

supplementary design of number 1802 |

7733 5-(37,8,2480) (selfcomplementary)

residual design of number 7731 |

residual design of complement of number 7731 |

10452 5-(38,8,2504) (complement has $\lambda=2952$)

derived from number 10447 |

10447 6-(39,9,2504) (complement has $\lambda=2952$)

derived from number 10445 |

10445 7-(40,10,2504) (complement has $\lambda=2952$)

$PSL(4,3)$ (many isomorphism types) |

10733 5-(24,12,2508) (complement has $\lambda=47880$)

Alltop construction for design number 10730 |

Tran van Trung construction with supplementary design for design number 10829 |

2223 5-(22,10,2520) (complement has $\lambda=3668$)

$PGL(2,19)++$ |

2188 5-(22,11,2520) (complement has $\lambda=9856$)

Alltop construction for design number 2185 |

\cite{Kreher95} $PGL(2,19)++$ |

11046 5-(23,11,2520) (complement has $\lambda=16044$)

TvT: 5-(22,10,840) $\cup$ 5-(22,11,1680) |

3978 5-(26,9,2520) (complement has $\lambda=3465$)

TvT: 5-(25,8,480) $\cup$ 5-(25,9,2040) |

3843 5-(26,13,2520) (complement has $\lambda=200970$)

Tran van Trung construction with supplementary design for design number 3840 |

Alltop construction for design number 3842 |

6874 5-(27,9,2520) (complement has $\lambda=4795$)

derived from number 6872 |

4472 5-(28,9,2520) (complement has $\lambda=6335$)

$Sp(6,2)$ (5 isom. types) |

residual design of number 7372 |

6872 6-(28,10,2520) (complement has $\lambda=4795$)

$P\Gamma L(2,27)$ |

9288 5-(29,9,2520) (complement has $\lambda=8106$)

residual design of number 9282 |

derived from number 9283 |

9283 6-(30,10,2520) (complement has $\lambda=8106$)

residual design of number 9280 |

2460 5-(24,10,2538) (complement has $\lambda=9090$)

$PSL(2,23)$ |

8630 5-(25,10,2544) (complement has $\lambda=12960$)

derived from number 8628 |

8628 6-(26,11,2544) (complement has $\lambda=12960$)

derived from number 8627 |

8627 7-(27,12,2544) (complement has $\lambda=12960$)

\cite{Sebille98} $AGL(3,3)$ 1 isomorphism type |

4476 5-(28,9,2555) (complement has $\lambda=6300$)

$Sp(6,2)$ (3 isom. types) |

2230 5-(22,10,2562) (complement has $\lambda=3626$)

$PGL(2,19)++$ |

6884 5-(27,9,2590) (complement has $\lambda=4725$)

derived from number 6882 |

6882 6-(28,10,2590) (complement has $\lambda=4725$)

$P\Gamma L(2,27)$ |

8064 5-(25,10,2592) (complement has $\lambda=12912$)

residual design of number 8059 |

derived from number 8060 |

8060 6-(26,11,2592) (complement has $\lambda=12912$)

residual design of number 8057 |

derived from number 8639 |

8639 7-(27,12,2592) (complement has $\lambda=12912$)

\cite{Sebille98} $AGL(3,3)$ 33 isomorphism types |

7742 5-(39,8,2592) (complement has $\lambda=3392$)

derived from number 7740 |

7740 6-(40,9,2592) (complement has $\lambda=3392$)

$PSL(4,3)$ |

7752 5-(39,8,2600) (complement has $\lambda=3384$)

derived from number 7750 |

7750 6-(40,9,2600) (complement has $\lambda=3384$)

$PSL(4,3)$ |

2195 5-(22,11,2604) (complement has $\lambda=9772$)

Alltop construction for design number 2192 |

$PGL(2,19)++$ |

2293 5-(22,11,2632) (complement has $\lambda=9744$)

\cite{Kreher95} |

Alltop construction for design number 2295 |

10856 5-(23,11,2646) (complement has $\lambda=15918$)

TvT: 5-(22,10,882) $\cup$ 5-(22,11,1764) |

6363 5-(26,10,2646) (complement has $\lambda=17703$)

derived from number 6361 |

6361 6-(27,11,2646) (complement has $\lambda=17703$)

\cite{Sebille98} $AGL(3,3)$ |

4479 5-(28,9,2660) (complement has $\lambda=6195$)

$Sp(6,2)$ (7 isom. types) |

residual design of number 7378 |

10839 5-(23,12,2664) (complement has $\lambda=29160$)

supplementary design of number 10838 |

532 5-(22,11,2688) (complement has $\lambda=9688$)

Alltop construction for design number 529 |

\cite{Kreher95} |

PGL(3,4)+ Alltop construction from 4-(21,10,2688) |

10975 5-(23,11,2688) (complement has $\lambda=15876$)

TvT: 5-(22,10,896) $\cup$ 5-(22,11,1792) |

8081 5-(25,10,2688) (complement has $\lambda=12816$)

residual design of number 8075 |

derived from number 8076 |

8076 6-(26,11,2688) (complement has $\lambda=12816$)

residual design of number 8073 |

7359 5-(29,9,2688) (complement has $\lambda=7938$)

design of number 7358 with respect to smaller t |

derived from number 7470 |

residual design of number 7561 |

7470 6-(30,10,2688) (complement has $\lambda=7938$)

$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b} |

4137 5-(27,9,2695) (complement has $\lambda=4620$)

TvT: 5-(26,8,490) $\cup$ 5-(26,9,2205) |

design of number 6831 with respect to smaller t |

derived from number 6892 |

6892 6-(28,10,2695) (complement has $\lambda=4620$)

TvT: 6-(27,9,490) $\cup$ 6-(27,10,2205) |

7732 5-(38,8,2728) (selfcomplementary)

design of number 7731 with respect to smaller t |

complementary design of number 7731 with respect to smaller t |

residual design of number 7737 |

residual design of complement of number 7737 |

2237 5-(22,10,2730) (complement has $\lambda=3458$)

$PGL(2,19)++$ |

7762 5-(39,8,2736) (complement has $\lambda=3248$)

derived from number 7760 |

7760 6-(40,9,2736) (complement has $\lambda=3248$)

$PSL(4,3)$ |

7772 5-(39,8,2744) (complement has $\lambda=3240$)

derived from number 7770 |

7770 6-(40,9,2744) (complement has $\lambda=3240$)

$PSL(4,3)$ |

1853 5-(21,11,2772) (complement has $\lambda=5236$)

supplementary design of number 1852 |

residual design of number 5572 |

2243 5-(22,10,2772) (complement has $\lambda=3416$)

$PGL(2,19)++$ |

2202 5-(22,11,2772) (complement has $\lambda=9604$)

Alltop construction for design number 2199 |

5665 5-(23,10,2772) (complement has $\lambda=5796$)

derived from number 5663 |

5663 6-(24,11,2772) (complement has $\lambda=5796$)

PSL(2,23) (>=1 isom. types) |

836 5-(25,10,2784) (complement has $\lambda=12720$)

TvT: 5-(24,9,696) $\cup$ 5-(24,10,2088) |

6895 5-(27,9,2800) (complement has $\lambda=4515$)

derived from number 6893 |

6893 6-(28,10,2800) (complement has $\lambda=4515$)

$P\Gamma L(2,27)$ |

10964 5-(23,12,2808) (complement has $\lambda=29016$)

supplementary design of number 10963 |

10859 5-(23,11,2814) (complement has $\lambda=15750$)

TvT: 5-(22,10,938) $\cup$ 5-(22,11,1876) |

7362 5-(29,9,2814) (complement has $\lambda=7812$)

design of number 7361 with respect to smaller t |

265 5-(26,9,2835) (complement has $\lambda=3150$)

derived from number 263 |

design of number 274 with respect to smaller t |

$PGL(2,25)$ |

residual design of number 8819 |

8030 5-(26,10,2835) (complement has $\lambda=17514$)

derived from number 8026 |

design of number 8027 with respect to smaller t |

263 6-(27,10,2835) (complement has $\lambda=3150$)

$ASL(3,3)^{13}$ |

design of number 273 with respect to smaller t |

\cite{Sebille98} $AGL(3,3)$ |

residual design of number 8817 |

derived from number 8824 |

8026 6-(27,11,2835) (complement has $\lambda=17514$)

design of number 8025 with respect to smaller t |

4483 5-(28,9,2835) (complement has $\lambda=6020$)

$Sp(6,2)$ (11 isom. types) |

8824 7-(28,11,2835) (complement has $\lambda=3150$)

TvT: 7-(27,10,540) $\cup$ 7-(27,11,2295) |

2246 5-(22,10,2856) (complement has $\lambda=3332$)

TvT: 5-(21,9,840) $\cup$ 5-(21,10,2016) |

\cite{Kreher95} |

design of number 5569 with respect to smaller t |

derived from number 11500 |

472 5-(22,11,2856) (complement has $\lambda=9520$)

Alltop construction for design number 469 |

Tran van Trung construction with supplementary design for design number 1849 |

\cite{Kreher95} $PSL(3,4)+$ Alltop construction from 4-(21,10,2856) |

design of number 5571 with respect to smaller t |

2335 5-(23,11,2856) (complement has $\lambda=15708$)

TvT: 5-(22,10,952) $\cup$ 5-(22,11,1904) |

11500 6-(23,11,2856) (complement has $\lambda=3332$)

TvT: 6-(22,10,840) $\cup$ 6-(22,11,2016) |

derived from number 11503 |

11503 7-(24,12,2856) (complement has $\lambda=3332$)

Alltop construction for design number 11500 |

10842 5-(23,12,2880) (complement has $\lambda=28944$)

supplementary design of number 10841 |

8100 5-(25,10,2880) (complement has $\lambda=12624$)

residual design of number 8094 |

derived from number 8095 |

8095 6-(26,11,2880) (complement has $\lambda=12624$)

residual design of number 8092 |

2248 5-(22,10,2898) (complement has $\lambda=3290$)

$PGL(2,19)++$ |

10862 5-(23,11,2898) (complement has $\lambda=15666$)

TvT: 5-(22,10,966) $\cup$ 5-(22,11,1932) |

35 5-(29,9,2898) (complement has $\lambda=7728$)

residual design of number 34 |

derived from number 4192 |

design of number 7371 with respect to smaller t |

4192 6-(30,10,2898) (complement has $\lambda=7728$)

\cite{Sebille98} $P\Gamma L(2,27)\cup S_2$ |

\cite{Sebille98} $P\Gamma L(2,27)\cup S_2$ |

TvT: 6-(29,9,483) $\cup$ 6-(29,10,2415) |

6905 5-(27,9,2905) (complement has $\lambda=4410$)

derived from number 6903 |

6903 6-(28,10,2905) (complement has $\lambda=4410$)

$P\Gamma L(2,27)$ |

2255 5-(22,10,2912) (complement has $\lambda=3276$)

$PGL(2,19)++$ |

residual design of number 7840 |

11029 5-(23,11,2940) (complement has $\lambda=15624$)

TvT: 5-(22,10,980) $\cup$ 5-(22,11,1960) |

6915 5-(27,9,2940) (complement has $\lambda=4375$)

derived from number 6913 |

4153 5-(28,10,2940) (complement has $\lambda=30709$)

\cite{Sebille98} $Sp(6,2)$ 1-3 isomorphism types |

6913 6-(28,10,2940) (complement has $\lambda=4375$)

$P\Gamma L(2,27)$ |

4487 5-(28,9,2975) (complement has $\lambda=5880$)

$Sp(6,2)$ (8 isom. types) |

residual design of number 7384 |

8120 5-(25,10,2976) (complement has $\lambda=12528$)

residual design of number 8114 |

derived from number 8115 |

8115 6-(26,11,2976) (complement has $\lambda=12528$)

residual design of number 8112 |

5641 5-(22,10,2982) (complement has $\lambda=3206$)

derived from number 5638 |

5638 6-(23,11,2982) (complement has $\lambda=3206$)

PSL(2,19)+++ (>=1 isom. types) |

derived from number 5644 |

5644 7-(24,12,2982) (complement has $\lambda=3206$)

Alltop construction for design number 5638 |

4157 5-(28,10,2989) (complement has $\lambda=30660$)

\cite{Sebille98} $Sp(6,2)$ 1 isomorphism type |

9558 5-(31,9,2990) (complement has $\lambda=11960$)

residual design of number 9552 |

7738 5-(39,8,2992) (selfcomplementary)

design of number 7737 with respect to smaller t |

complementary design of number 7737 with respect to smaller t |

9285 5-(30,9,3000) (complement has $\lambda=9650$)

derived from number 9281 |

design of number 9282 with respect to smaller t |

9281 6-(31,10,3000) (complement has $\lambda=9650$)

design of number 9280 with respect to smaller t |

2211 5-(22,11,3024) (complement has $\lambda=9352$)

Alltop construction for design number 2208 |

$PGL(2,19)++$ |

7835 5-(23,10,3024) (complement has $\lambda=5544$)

residual design of number 7830 |

design of number 7832 with respect to smaller t |

10865 5-(23,11,3024) (complement has $\lambda=15540$)

TvT: 5-(22,10,1008) $\cup$ 5-(22,11,2016) |

11024 5-(23,12,3024) (complement has $\lambda=28800$)

supplementary design of number 11023 |

8139 5-(25,10,3024) (complement has $\lambda=12480$)

residual design of number 8133 |

derived from number 8134 |

8134 6-(26,11,3024) (complement has $\lambda=12480$)

residual design of number 8131 |

7373 5-(29,9,3024) (complement has $\lambda=7602$)

design of number 7372 with respect to smaller t |

2472 5-(24,10,3042) (complement has $\lambda=8586$)

$PSL(2,23)$ (many isomorphism types) |

10978 5-(23,11,3066) (complement has $\lambda=15498$)

TvT: 5-(22,10,1022) $\cup$ 5-(22,11,2044) |

4804 5-(29,9,3066) (complement has $\lambda=7560$)

TvT: 5-(28,8,511) $\cup$ 5-(28,9,2555) |

10737 5-(24,12,3078) (complement has $\lambda=47310$)

Alltop construction for design number 10734 |

Tran van Trung construction with supplementary design for design number 10832 |

1810 5-(21,11,3080) (complement has $\lambda=4928$)

supplementary design of number 1809 |

4140 5-(27,9,3080) (complement has $\lambda=4235$)

TvT: 5-(26,8,560) $\cup$ 5-(26,9,2520) |

5586 5-(22,10,3094) (selfcomplementary)

residual design of number 5585 |

residual design of complement of number 5585 |

10845 5-(23,12,3096) (complement has $\lambda=28728$)

supplementary design of number 10844 |

6925 5-(27,9,3115) (complement has $\lambda=4200$)

derived from number 6923 |

6923 6-(28,10,3115) (complement has $\lambda=4200$)

$P\Gamma L(2,27)$ |

10868 5-(23,11,3150) (complement has $\lambda=15414$)

TvT: 5-(22,10,1050) $\cup$ 5-(22,11,2100) |

6935 5-(27,9,3150) (complement has $\lambda=4165$)

derived from number 6933 |

7388 5-(28,9,3150) (complement has $\lambda=5705$)

residual design of number 7385 |

6933 6-(28,10,3150) (complement has $\lambda=4165$)

$P\Gamma L(2,27)$ |

476 5-(22,11,3192) (complement has $\lambda=9184$)

Alltop construction for design number 473 |

$PSL(3,4)+$ |

PSL(3,4)+ Alltop construction from 4-(21,10,3192) |

11049 5-(24,11,3192) (complement has $\lambda=23940$)

TvT: 5-(23,10,1008) $\cup$ 5-(23,11,2184) |

10903 5-(24,12,3192) (complement has $\lambda=47196$)

Alltop construction for design number 10900 |

Tran van Trung construction with supplementary design for design number 10960 |

8648 5-(25,10,3192) (complement has $\lambda=12312$)

derived from number 8646 |

8646 6-(26,11,3192) (complement has $\lambda=12312$)

derived from number 8645 |

8645 7-(27,12,3192) (complement has $\lambda=12312$)

\cite{Sebille98} $AGL(3,3)$ |

7379 5-(29,9,3192) (complement has $\lambda=7434$)

design of number 7378 with respect to smaller t |

7562 5-(30,9,3200) (complement has $\lambda=9450$)

design of number 7561 with respect to smaller t |

derived from number 7584 |

7584 6-(31,10,3200) (complement has $\lambda=9450$)

(Tran van Trung construction): 6-(30,9,512) together with 6-(30,10,2688) \cite{Bettenetal97b} |

10536 5-(24,10,3204) (complement has $\lambda=8424$)

derived from number 10529 |

10529 6-(25,11,3204) (complement has $\lambda=8424$)

derived from number 10521 |

10521 7-(26,12,3204) (complement has $\lambda=8424$)

derived from number 10518 |

10518 8-(27,13,3204) (complement has $\lambda=8424$)

$ASL(3,3)$ |

derived from number 10524 |

10524 9-(28,14,3204) (complement has $\lambda=8424$)

Alltop construction for design number 10518 |

246 5-(26,10,3213) (complement has $\lambda=17136$)

residual design of number 243 |

derived from number 8046 |

design of number 8047 with respect to smaller t |

8046 6-(27,11,3213) (complement has $\lambda=17136$)

design of number 8045 with respect to smaller t |

6945 5-(27,9,3220) (complement has $\lambda=4095$)

derived from number 6943 |

6943 6-(28,10,3220) (complement has $\lambda=4095$)

$P\Gamma L(2,27)$ |

10967 5-(23,12,3240) (complement has $\lambda=28584$)

supplementary design of number 10966 |

10568 5-(24,10,3240) (complement has $\lambda=8388$)

derived from number 10561 |

10561 6-(25,11,3240) (complement has $\lambda=8388$)

derived from number 10553 |

10553 7-(26,12,3240) (complement has $\lambda=8388$)

derived from number 10550 |

10550 8-(27,13,3240) (complement has $\lambda=8388$)

$ASL(3,3)$ |

derived from number 10556 |

10556 9-(28,14,3240) (complement has $\lambda=8388$)

Alltop construction for design number 10550 |

6955 5-(27,9,3255) (complement has $\lambda=4060$)

derived from number 6953 |

10661 5-(28,9,3255) (complement has $\lambda=5600$)

residual design of number 10658 |

derived from number 10659 |

6953 6-(28,10,3255) (complement has $\lambda=4060$)

$P\Gamma L(2,27)$ |

10659 6-(29,10,3255) (complement has $\lambda=5600$)

residual design of number 10656 |

8013 5-(25,10,3264) (complement has $\lambda=12240$)

residual design of number 8011 |

6996 5-(27,10,3276) (complement has $\lambda=23058$)

residual design of number 6993 |

8159 5-(25,10,3312) (complement has $\lambda=12192$)

residual design of number 8153 |

derived from number 8154 |

8154 6-(26,11,3312) (complement has $\lambda=12192$)

residual design of number 8151 |

504 5-(22,11,3360) (complement has $\lambda=9016$)

Alltop construction for design number 501 |

\cite{Kreher95} $PSL(3,4)+$ $PGL(2,19)++$Alltop construction from 4-(21,10,3360) |

4490 5-(28,9,3360) (complement has $\lambda=5495$)

$Sp(6,2)$ (10 isom. types) |

residual design of number 7395 |

9796 5-(34,9,3360) (complement has $\lambda=20391$)

derived from number 9791 |

9791 6-(35,10,3360) (complement has $\lambda=20391$)

derived from number 9789 |

9789 7-(36,11,3360) (complement has $\lambda=20391$)

$Sp(6,2)_36$ (many isomorphism types) |

1862 5-(21,11,3388) (complement has $\lambda=4620$)

supplementary design of number 1861 |

residual design of number 5573 |

8062 5-(26,10,3402) (complement has $\lambda=16947$)

derived from number 8058 |

design of number 8059 with respect to smaller t |

8058 6-(27,11,3402) (complement has $\lambda=16947$)

design of number 8057 with respect to smaller t |

derived from number 11331 |

11331 7-(28,12,3402) (complement has $\lambda=16947$)

TvT: 7-(27,11,810) $\cup$ 7-(27,12,2592) |

10741 5-(24,12,3420) (complement has $\lambda=46968$)

Alltop construction for design number 10738 |

Tran van Trung construction with supplementary design for design number 10835 |

11035 5-(25,11,3420) (complement has $\lambda=35340$)

TvT: 5-(24,10,1026) $\cup$ 5-(24,11,2394) |

6965 5-(27,9,3430) (complement has $\lambda=3885$)

derived from number 6963 |

6963 6-(28,10,3430) (complement has $\lambda=3885$)

$P\Gamma L(2,27)$ |

5591 5-(22,11,3444) (complement has $\lambda=8932$)

residual design of number 5587 |

derived from number 5588 |

Alltop construction for design number 5601 |

5588 6-(23,12,3444) (complement has $\lambda=8932$)

supplementary design of number 5587 |

residual design of number 5593 |

24 5-(30,9,3450) (complement has $\lambda=9200$)

TvT: 5-(29,8,552) $\cup$ 5-(29,9,2898) |

design of number 34 with respect to smaller t |

derived from number 37 |

9352 5-(31,9,3450) (complement has $\lambda=11500$)

residual design of number 9346 |

derived from number 9347 |

37 6-(31,10,3450) (complement has $\lambda=9200$)

TvT: 6-(30,9,552) $\cup$ 6-(30,10,2898) |

9347 6-(32,10,3450) (complement has $\lambda=11500$)

residual design of number 9344 |

2329 5-(23,12,3456) (complement has $\lambda=28368$)

supplementary design of number 2328 |

8175 5-(25,10,3456) (complement has $\lambda=12048$)

residual design of number 8172 |

derived from number 8173 |

8173 6-(26,11,3456) (complement has $\lambda=12048$)

residual design of number 8171 |

8821 5-(27,9,3465) (complement has $\lambda=3850$)

derived from number 8818 |

design of number 8819 with respect to smaller t |

7403 5-(28,9,3465) (complement has $\lambda=5390$)

residual design of number 7401 |

8818 6-(28,10,3465) (complement has $\lambda=3850$)

design of number 8817 with respect to smaller t |

derived from number 9210 |

9210 7-(29,11,3465) (complement has $\lambda=3850$)

$P\Gamma L(2,27)+$ (>= 1 isom. types) |

2297 5-(22,11,3472) (complement has $\lambda=8904$)

$PSL(3,4)+$ |

Alltop construction for design number 2299 |

4494 5-(28,9,3500) (complement has $\lambda=5355$)

$Sp(6,2)$ (20 isom. types) |

residual design of number 10648 |

derived from number 10649 |

10649 6-(29,10,3500) (complement has $\lambda=5355$)

residual design of number 10646 |

9555 5-(32,9,3510) (complement has $\lambda=14040$)

residual design of number 9550 |

design of number 9552 with respect to smaller t |

524 5-(22,11,3528) (complement has $\lambda=8848$)

Alltop construction for design number 521 |

PGL(3,4)+ Alltop construction from 4-(21,10,3528) |

10970 5-(23,12,3528) (complement has $\lambda=28296$)

supplementary design of number 10969 |

7911 5-(24,10,3528) (complement has $\lambda=8100$)

residual design of number 7907 |

derived from number 7908 |

7908 6-(25,11,3528) (complement has $\lambda=8100$)

residual design of number 7905 |

8078 5-(26,10,3528) (complement has $\lambda=16821$)

derived from number 8074 |

design of number 8075 with respect to smaller t |

8074 6-(27,11,3528) (complement has $\lambda=16821$)

design of number 8073 with respect to smaller t |

6975 5-(27,9,3535) (complement has $\lambda=3780$)

derived from number 6973 |

6973 6-(28,10,3535) (complement has $\lambda=3780$)

$P\Gamma L(2,27)$ |

8189 5-(25,10,3552) (complement has $\lambda=11952$)

residual design of number 8183 |

derived from number 8184 |

8184 6-(26,11,3552) (complement has $\lambda=11952$)

residual design of number 8181 |

11484 5-(23,11,3570) (complement has $\lambda=14994$)

TvT: 5-(22,10,1190) $\cup$ 5-(22,11,2380) |

design of number 11494 with respect to smaller t |

derived from number 11496 |

11496 6-(24,12,3570) (complement has $\lambda=14994$)

Tran van Trung construction with supplementary design for design number 11494 |

design of number 11497 with respect to smaller t |

6985 5-(27,9,3570) (complement has $\lambda=3745$)

derived from number 6983 |

6983 6-(28,10,3570) (complement has $\lambda=3745$)

$P\Gamma L(2,27)$ |

4806 5-(29,9,3570) (complement has $\lambda=7056$)

TvT: 5-(28,8,595) $\cup$ 5-(28,9,2975) |

design of number 7384 with respect to smaller t |

derived from number 7476 |

residual design of number 7564 |

7476 6-(30,10,3570) (complement has $\lambda=7056$)

$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b} |

4497 5-(28,9,3675) (complement has $\lambda=5180$)

$Sp(6,2)$ (11 isom. types) |

residual design of number 7407 |

9577 5-(31,9,3680) (complement has $\lambda=11270$)

residual design of number 9571 |

1871 5-(21,11,3696) (complement has $\lambda=4312$)

supplementary design of number 1870 |

residual design of number 5574 |

design of number 5582 with respect to smaller t |

2301 5-(22,11,3696) (complement has $\lambda=8680$)

$PSL(3,4)+$ |

Alltop construction for design number 2303 |

\cite{Kreher95} |

11498 5-(22,12,3740) (complement has $\lambda=15708$)

residual design of number 11495 |

10848 5-(23,12,3744) (complement has $\lambda=28080$)

supplementary design of number 10847 |

8209 5-(25,10,3744) (complement has $\lambda=11760$)

residual design of number 8203 |

derived from number 8204 |

8204 6-(26,11,3744) (complement has $\lambda=11760$)

residual design of number 8201 |

10998 5-(24,12,3762) (complement has $\lambda=46626$)

Alltop construction for design number 10995 |

Tran van Trung construction with supplementary design for design number 11020 |

2218 5-(22,11,3780) (complement has $\lambda=8596$)

Alltop construction for design number 2215 |

$PGL(2,19)++$ |

10828 5-(23,10,3780) (complement has $\lambda=4788$)

TvT: 5-(22,9,1050) $\cup$ 5-(22,10,2730) |

10871 5-(23,11,3780) (complement has $\lambda=14784$)

TvT: 5-(22,10,1260) $\cup$ 5-(22,11,2520) |

8097 5-(26,10,3780) (complement has $\lambda=16569$)

derived from number 8093 |

design of number 8094 with respect to smaller t |

8093 6-(27,11,3780) (complement has $\lambda=16569$)

design of number 8092 with respect to smaller t |

4501 5-(28,9,3780) (complement has $\lambda=5075$)

$Sp(6,2)$ (25 isom. types) |

residual design of number 7410 |

7386 5-(29,9,3780) (complement has $\lambda=6846$)

design of number 7385 with respect to smaller t |

1805 5-(22,11,3808) (complement has $\lambda=8568$)

Tran van Trung construction with supplementary design for design number 1802 |

Alltop construction for design number 1804 |

\cite{Kreher95} |

Tran van Trung construction from 5-(21,10,1344) |

4504 5-(28,9,3815) (complement has $\lambda=5040$)

$Sp(6,2)$ (18 isom. types) |

8227 5-(25,10,3840) (complement has $\lambda=11664$)

residual design of number 8222 |

derived from number 8223 |

8223 6-(26,11,3840) (complement has $\lambda=11664$)

residual design of number 8220 |

derived from number 8657 |

8657 7-(27,12,3840) (complement has $\lambda=11664$)

\cite{Sebille98} $AGL(3,3)$ |

5375 5-(46,8,3840) (complement has $\lambda=6820$)

$M_{23}\times Id_2$ |

2324 5-(24,12,3876) (complement has $\lambda=46512$)

Tran van Trung construction with supplementary design for design number 2321 |

Alltop construction for design number 2323 |

\cite{Bluskov} |

11027 5-(23,12,3888) (complement has $\lambda=27936$)

supplementary design of number 11026 |

10504 5-(24,10,3888) (complement has $\lambda=7740$)

residual design of number 10501 |

derived from number 10502 |

8240 5-(25,10,3888) (complement has $\lambda=11616$)

residual design of number 8237 |

derived from number 8238 |

10502 6-(25,11,3888) (complement has $\lambda=7740$)

residual design of number 10499 |

derived from number 10500 |

8238 6-(26,11,3888) (complement has $\lambda=11616$)

residual design of number 8236 |

derived from number 8663 |

10500 7-(26,12,3888) (complement has $\lambda=7740$)

residual design of number 10498 |

8663 7-(27,12,3888) (complement has $\lambda=11616$)

\cite{Sebille98} $AGL(3,3)$ |

10981 5-(23,11,3906) (complement has $\lambda=14658$)

TvT: 5-(22,10,1302) $\cup$ 5-(22,11,2604) |

8117 5-(26,10,3906) (complement has $\lambda=16443$)

derived from number 8113 |

design of number 8114 with respect to smaller t |

8113 6-(27,11,3906) (complement has $\lambda=16443$)

design of number 8112 with respect to smaller t |

9307 5-(29,9,3906) (complement has $\lambda=6720$)

residual design of number 9301 |

derived from number 9302 |

design of number 10658 with respect to smaller t |

9302 6-(30,10,3906) (complement has $\lambda=6720$)

residual design of number 9299 |

design of number 10656 with respect to smaller t |

9597 5-(31,9,3910) (complement has $\lambda=11040$)

residual design of number 9591 |

4508 5-(28,9,3920) (complement has $\lambda=4935$)

$Sp(6,2)$ (28 isom. types) |

residual design of number 7411 |

10851 5-(23,12,3960) (complement has $\lambda=27864$)

supplementary design of number 10850 |

4072 5-(27,13,3960) (complement has $\lambda=315810$)

TvT: 5-(26,12,1440) $\cup$ 5-(26,13,2520) |

8136 5-(26,10,3969) (complement has $\lambda=16380$)

derived from number 8132 |

design of number 8133 with respect to smaller t |

8132 6-(27,11,3969) (complement has $\lambda=16380$)

design of number 8131 with respect to smaller t |

548 5-(22,11,3976) (complement has $\lambda=8400$)

Alltop construction for design number 545 |

PGL(3,4)+ Alltop construction from 4-(21,10,3976) |

7417 5-(28,9,3990) (complement has $\lambda=4865$)

residual design of number 7414 |

1817 5-(21,11,4004) (selfcomplementary)

supplementary design of number 1816 |

residual design of number 1822 |

residual design of complement of number 1822 |

512 5-(22,11,4032) (complement has $\lambda=8344$)

Alltop construction for design number 509 |

$PSL(3,4)+$ |

\cite{Kreher95} |

PSL(3,4)+ Alltop construction from 4-(21,10,4032) |

7843 5-(23,10,4032) (complement has $\lambda=4536$)

residual design of number 7838 |

design of number 7840 with respect to smaller t |

2682 5-(24,11,4032) (complement has $\lambda=23100$)

\cite{Bluskov} |

2718 5-(24,12,4032) (complement has $\lambda=46356$)

\cite{Bluskov} |

Alltop construction for design number 2720 |

7396 5-(29,9,4032) (complement has $\lambda=6594$)

design of number 7395 with respect to smaller t |

9349 5-(32,9,4050) (complement has $\lambda=13500$)

derived from number 9345 |

design of number 9346 with respect to smaller t |

9345 6-(33,10,4050) (complement has $\lambda=13500$)

design of number 9344 with respect to smaller t |

7925 5-(24,10,4068) (complement has $\lambda=7560$)

residual design of number 7920 |

derived from number 7921 |

7921 6-(25,11,4068) (complement has $\lambda=7560$)

residual design of number 7918 |

4512 5-(28,9,4095) (complement has $\lambda=4760$)

$Sp(6,2)$ (24 isom. types) |

derived from number 7059 |

residual design of number 7424 |

7059 6-(29,10,4095) (complement has $\lambda=4760$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

9553 5-(33,9,4095) (complement has $\lambda=16380$)

design of number 9550 with respect to smaller t |

10973 5-(23,12,4104) (complement has $\lambda=27720$)

supplementary design of number 10972 |

7833 5-(24,10,4104) (complement has $\lambda=7524$)

design of number 7830 with respect to smaller t |

residual design of number 7889 |

7433 5-(28,9,4130) (complement has $\lambda=4725$)

residual design of number 7430 |

9368 5-(31,9,4140) (complement has $\lambda=10810$)

residual design of number 9362 |

derived from number 9363 |

9363 6-(32,10,4140) (complement has $\lambda=10810$)

residual design of number 9360 |

10874 5-(23,11,4158) (complement has $\lambda=14406$)

TvT: 5-(22,10,1386) $\cup$ 5-(22,11,2772) |

244 5-(27,10,4158) (complement has $\lambda=22176$)

design of number 243 with respect to smaller t |

TvT: 5-(26,9,945) $\cup$ 5-(26,10,3213) |

derived from number 11288 |

11288 6-(28,11,4158) (complement has $\lambda=22176$)

TvT: 6-(27,10,945) $\cup$ 6-(27,11,3213) |

7402 5-(29,9,4158) (complement has $\lambda=6468$)

design of number 7401 with respect to smaller t |

derived from number 7482 |

residual design of number 7567 |

7482 6-(30,10,4158) (complement has $\lambda=6468$)

$P\Gamma L(2,27)++$ (many >= 404 isom. types) \cite{Bettenetal97b} |

5379 5-(46,8,4160) (complement has $\lambda=6500$)

$M_{23}\times Id_2$ |

10854 5-(23,12,4176) (complement has $\lambda=27648$)

supplementary design of number 10853 |

8250 5-(25,10,4176) (complement has $\lambda=11328$)

residual design of number 8247 |

derived from number 8248 |

8248 6-(26,11,4176) (complement has $\lambda=11328$)

residual design of number 8246 |

6994 5-(28,10,4186) (complement has $\lambda=29463$)

design of number 6993 with respect to smaller t |

7442 5-(28,9,4200) (complement has $\lambda=4655$)

residual design of number 7440 |

4808 5-(29,9,4200) (complement has $\lambda=6426$)

TvT: 5-(28,8,700) $\cup$ 5-(28,9,3500) |

residual design of number 9320 |

derived from number 9321 |

design of number 10648 with respect to smaller t |

9321 6-(30,10,4200) (complement has $\lambda=6426$)

residual design of number 9318 |

design of number 10646 with respect to smaller t |

9816 5-(34,9,4200) (complement has $\lambda=19551$)

derived from number 9811 |

9811 6-(35,10,4200) (complement has $\lambda=19551$)

derived from number 9809 |

9809 7-(36,11,4200) (complement has $\lambda=19551$)

$Sp(6,2)_36$ (many isomorphism types) |

10473 5-(38,9,4200) (complement has $\lambda=36720$)

residual design of number 10467 |

derived from number 10468 |

10468 6-(39,10,4200) (complement has $\lambda=36720$)

residual design of number 10465 |

10745 5-(24,12,4218) (complement has $\lambda=46170$)

Alltop construction for design number 10742 |

Tran van Trung construction with supplementary design for design number 10838 |

4516 5-(28,9,4235) (complement has $\lambda=4620$)

$Sp(6,2)$ (20 isom. types) |

7565 5-(30,9,4250) (complement has $\lambda=8400$)

design of number 7564 with respect to smaller t |

derived from number 7587 |

7587 6-(31,10,4250) (complement has $\lambda=8400$)

(Tran van Trung construction): 6-(30,9,680) together with 6-(30,10,3570) \cite{Bettenetal97b} |

8264 5-(25,10,4272) (complement has $\lambda=11232$)

residual design of number 8258 |

derived from number 8259 |

8259 6-(26,11,4272) (complement has $\lambda=11232$)

residual design of number 8256 |

1857 5-(22,11,4284) (complement has $\lambda=8092$)

Tran van Trung construction with supplementary design for design number 1852 |

Alltop construction for design number 1854 |

\cite{Kreher95} |

design of number 5572 with respect to smaller t |

residual design of number 5607 |

derived from number 5608 |

2317 5-(23,10,4284) (selfcomplementary)

reduced 6-(23,10,1190) Halving of the complete design |

design of number 5585 with respect to smaller t |

complementary design of number 5585 with respect to smaller t |

residual design of number 5662 |

residual design of complement of number 5662 |

2342 5-(23,11,4284) (complement has $\lambda=14280$)

TvT: 5-(22,10,1428) $\cup$ 5-(22,11,2856) \cite{TranvanTrung86} |

5608 6-(23,12,4284) (complement has $\lambda=8092$)

supplementary design of number 5607 |

residual design of number 5612 |

8012 5-(26,10,4284) (complement has $\lambda=16065$)

residual design of number 8010 |

design of number 8011 with respect to smaller t |

2675 5-(24,12,4290) (complement has $\lambda=46098$)

Alltop construction for design number 2672 |

\cite{Bluskov} |

7067 5-(28,9,4305) (complement has $\lambda=4550$)

derived from number 7065 |

residual design of number 7446 |

7065 6-(29,10,4305) (complement has $\lambda=4550$)

$P\Gamma L(2,27)+$ \cite{Bettenetal97b} |

11047 5-(23,12,4320) (complement has $\lambda=27504$)

supplementary design of number 11046 |

8279 5-(25,10,4320) (complement has $\lambda=11184$)

residual design of number 8276 |

derived from number 8277 |

8021 5-(25,11,4320) (complement has $\lambda=34440$)

residual design of number 8018 |

8277 6-(26,11,4320) (complement has $\lambda=11184$)

residual design of number 8275 |

9574 5-(32,9,4320) (complement has $\lambda=13230$)

residual design of number 9569 |

design of number 9571 with respect to smaller t |

8156 5-(26,10,4347) (complement has $\lambda=16002$)

derived from number 8152 |

design of number 8153 with respect to smaller t |

8152 6-(27,11,4347) (complement has $\lambda=16002$)

design of number 8151 with respect to smaller t |

520 5-(22,11,4368) (complement has $\lambda=8008$)

Alltop construction for design number 517 |

PGL(3,4)+ Alltop construction from 4-(21,10,4368) |

6637 5-(26,11,4368) (complement has $\lambda=49896$)

derived from number 6635 |

6635 6-(27,12,4368) (complement has $\lambda=49896$)

\cite{Sebille98} $AGL(3,3)$ |

6835 5-(27,10,4410) (complement has $\lambda=21924$)

residual design of number 6832 |

7454 5-(28,9,4410) (complement has $\lambda=4445$)

residual design of number 7452 |

7408 5-(29,9,4410) (complement has $\lambda=6216$)

design of number 7407 with respect to smaller t |

derived from number 7488 |

residual design of number 7569 |

7488 6-(30,10,4410) (complement has $\lambda=6216$)

$P\Gamma L(2,27)++$ (many >= 8300 isom. types) \cite{Bettenetal97b} |

8292 5-(25,10,4416) (complement has $\lambda=11088$)

residual design of number 8286 |

derived from number 8287 |

8287 6-(26,11,4416) (complement has $\lambda=11088$)

residual design of number 8284 |

10907 5-(24,12,4446) (complement has $\lambda=45942$)

Alltop construction for design number 10904 |

Tran van Trung construction with supplementary design for design number 10963 |

5622 5-(22,11,4452) (complement has $\lambda=7924$)

residual design of number 5618 |

derived from number 5619 |

Alltop construction for design number 5632 |

5619 6-(23,12,4452) (complement has $\lambda=7924$)

supplementary design of number 5618 |

residual design of number 5624 |

10877 5-(23,11,4536) (complement has $\lambda=14028$)

TvT: 5-(22,10,1512) $\cup$ 5-(22,11,3024) |

10857 5-(23,12,4536) (complement has $\lambda=27288$)

supplementary design of number 10856 |

8672 5-(25,10,4536) (complement has $\lambda=10968$)

derived from number 8670 |

6373 5-(26,10,4536) (complement has $\lambda=15813$)

derived from number 6371 |

design of number 8172 with respect to smaller t |

6334 5-(26,11,4536) (complement has $\lambda=49728$)

residual design of number 6331 |

8670 6-(26,11,4536) (complement has $\lambda=10968$)

derived from number 8669 |

6371 6-(27,11,4536) (complement has $\lambda=15813$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8171 with respect to smaller t |

8669 7-(27,12,4536) (complement has $\lambda=10968$)

\cite{Sebille98} $AGL(3,3)$ |

4810 5-(29,9,4536) (complement has $\lambda=6090$)

TvT: 5-(28,8,756) $\cup$ 5-(28,9,3780) |

design of number 7410 with respect to smaller t |

9836 5-(34,9,4536) (complement has $\lambda=19215$)

derived from number 9831 |

9831 6-(35,10,4536) (complement has $\lambda=19215$)

derived from number 9829 |

9829 7-(36,11,4536) (complement has $\lambda=19215$)

$Sp(6,2)_36$ (many isomorphism types) |

10749 5-(24,12,4560) (complement has $\lambda=45828$)

Alltop construction for design number 10746 |

Tran van Trung construction with supplementary design for design number 10841 |

11050 5-(25,11,4560) (complement has $\lambda=34200$)

TvT: 5-(24,10,1368) $\cup$ 5-(24,11,3192) |

5383 5-(46,8,4580) (complement has $\lambda=6080$)

$M_{23}\times Id_2$ |

9594 5-(32,9,4590) (complement has $\lambda=12960$)

residual design of number 9589 |

design of number 9591 with respect to smaller t |

9441 5-(31,9,4600) (complement has $\lambda=10350$)

residual design of number 9435 |

10976 5-(23,12,4608) (complement has $\lambda=27216$)

supplementary design of number 10975 |

7941 5-(24,10,4608) (complement has $\lambda=7020$)

residual design of number 7936 |

derived from number 7937 |

8301 5-(25,10,4608) (complement has $\lambda=10896$)

residual design of number 8299 |

derived from number 8300 |

7937 6-(25,11,4608) (complement has $\lambda=7020$)

residual design of number 7934 |

derived from number 10585 |

8300 6-(26,11,4608) (complement has $\lambda=10896$)

residual design of number 8298 |

10585 7-(26,12,4608) (complement has $\lambda=7020$)

derived from number 10582 |

10582 8-(27,13,4608) (complement has $\lambda=7020$)

$ASL(3,3)$ |

derived from number 10588 |

10588 9-(28,14,4608) (complement has $\lambda=7020$)

Alltop construction for design number 10582 |

2305 5-(22,11,4620) (complement has $\lambda=7756$)

$PGL(2,19)++$ |

Alltop construction for design number 2307 |

2687 5-(24,11,4620) (complement has $\lambda=22512$)

\cite{Driessen78} |

540 5-(22,11,4648) (complement has $\lambda=7728$)

Alltop construction for design number 537 |

$PSL(3,4)+$ |

PGL(3,4)+ Alltop construction from 4-(21,10,4648) |

9304 5-(30,9,4650) (complement has $\lambda=8000$)

derived from number 9300 |

design of number 9301 with respect to smaller t |

9300 6-(31,10,4650) (complement has $\lambda=8000$)

design of number 9299 with respect to smaller t |

8186 5-(26,10,4662) (complement has $\lambda=15687$)

derived from number 8182 |

design of number 8183 with respect to smaller t |

8182 6-(27,11,4662) (complement has $\lambda=15687$)

design of number 8181 with respect to smaller t |

7909 5-(25,10,4704) (complement has $\lambda=10800$)

derived from number 7906 |

design of number 7907 with respect to smaller t |

residual design of number 8306 |

7906 6-(26,11,4704) (complement has $\lambda=10800$)

design of number 7905 with respect to smaller t |

residual design of number 8305 |

7412 5-(29,9,4704) (complement has $\lambda=5922$)

design of number 7411 with respect to smaller t |

derived from number 7494 |

residual design of number 7572 |

7494 6-(30,10,4704) (complement has $\lambda=5922$)

$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b} |

5249 5-(33,9,4725) (complement has $\lambda=15750$)

TvT: 5-(32,8,675) $\cup$ 5-(32,9,4050) |

8598 5-(25,11,4740) (complement has $\lambda=34020$)

residual design of number 8592 |

derived from number 8593 |

8593 6-(26,12,4740) (complement has $\lambda=34020$)

residual design of number 8590 |

8313 5-(25,10,4752) (complement has $\lambda=10752$)

residual design of number 8310 |

derived from number 8311 |

8311 6-(26,11,4752) (complement has $\lambda=10752$)

residual design of number 8309 |

1812 5-(22,11,4760) (complement has $\lambda=7616$)

Tran van Trung construction with supplementary design for design number 1809 |

Alltop construction for design number 1811 |

\cite{Kreher95} |

10470 5-(39,9,4760) (complement has $\lambda=41616$)

derived from number 10466 |

design of number 10467 with respect to smaller t |

10466 6-(40,10,4760) (complement has $\lambda=41616$)

design of number 10465 with respect to smaller t |

11002 5-(24,12,4788) (complement has $\lambda=45600$)

Alltop construction for design number 10999 |

Tran van Trung construction with supplementary design for design number 11023 |

11036 5-(26,11,4788) (complement has $\lambda=49476$)

TvT: 5-(25,10,1368) $\cup$ 5-(25,11,3420) |

7415 5-(29,9,4788) (complement has $\lambda=5838$)

design of number 7414 with respect to smaller t |

492 5-(22,11,4816) (complement has $\lambda=7560$)

Alltop construction for design number 489 |

$PSL(3,4)+$ |

PGL(3,4)+ Alltop construction from 4-(21,10,4816) |

PSL(3,4)+ Alltop construction from 4-(21,10,4816) |

10860 5-(23,12,4824) (complement has $\lambda=27000$)

supplementary design of number 10859 |

9387 5-(31,9,4830) (complement has $\lambda=10120$)

residual design of number 9382 |

derived from number 9383 |

9383 6-(32,10,4830) (complement has $\lambda=10120$)

residual design of number 9380 |

8325 5-(25,10,4848) (complement has $\lambda=10656$)

residual design of number 8319 |

derived from number 8320 |

8320 6-(26,11,4848) (complement has $\lambda=10656$)

residual design of number 8317 |

8619 5-(25,11,4860) (complement has $\lambda=33900$)

residual design of number 8616 |

derived from number 8617 |

8617 6-(26,12,4860) (complement has $\lambda=33900$)

residual design of number 8615 |

9365 5-(32,9,4860) (complement has $\lambda=12690$)

derived from number 9361 |

design of number 9362 with respect to smaller t |

9361 6-(33,10,4860) (complement has $\lambda=12690$)

design of number 9360 with respect to smaller t |

2336 5-(23,12,4896) (complement has $\lambda=26928$)

supplementary design of number 2335 |

10753 5-(24,12,4902) (complement has $\lambda=45486$)

Alltop construction for design number 10750 |

Tran van Trung construction with supplementary design for design number 10844 |

8206 5-(26,10,4914) (complement has $\lambda=15435$)

derived from number 8202 |

design of number 8203 with respect to smaller t |

8202 6-(27,11,4914) (complement has $\lambda=15435$)

design of number 8201 with respect to smaller t |

7425 5-(29,9,4914) (complement has $\lambda=5712$)

design of number 7424 with respect to smaller t |

derived from number 7500 |

7500 6-(30,10,4914) (complement has $\lambda=5712$)

$P\Gamma L(2,27)++$ \cite{Bettenetal97b} |

9856 5-(34,9,4935) (complement has $\lambda=18816$)

derived from number 9851 |

9851 6-(35,10,4935) (complement has $\lambda=18816$)

derived from number 9849 |

9849 7-(36,11,4935) (complement has $\lambda=18816$)

$Sp(6,2)_36$ (many isomorphism types) |

7568 5-(30,9,4950) (complement has $\lambda=7700$)

design of number 7567 with respect to smaller t |

derived from number 7590 |

residual design of number 7651 |

7590 6-(31,10,4950) (complement has $\lambda=7700$)

(Tran van Trung construction): 6-(30,9,792) together with 6-(30,10,4158) \cite{Bettenetal97b} |

2694 5-(24,11,4956) (complement has $\lambda=22176$)

\cite{Bluskov} |

7431 5-(29,9,4956) (complement has $\lambda=5670$)

design of number 7430 with respect to smaller t |

derived from number 7503 |

7503 6-(30,10,4956) (complement has $\lambda=5670$)

$P\Gamma L(2,27)++$ \cite{Bettenetal97b} |

10863 5-(23,12,4968) (complement has $\lambda=26856$)

supplementary design of number 10862 |

484 5-(22,11,4984) (complement has $\lambda=7392$)

Alltop construction for design number 481 |

$PSL(3,4)+$ |

PSL(3,4)+ Alltop construction from 4-(21,10,4984) |

9323 5-(30,9,5000) (complement has $\lambda=7650$)

derived from number 9319 |

design of number 9320 with respect to smaller t |

9319 6-(31,10,5000) (complement has $\lambda=7650$)

design of number 9318 with respect to smaller t |

2229 5-(22,11,5040) (complement has $\lambda=7336$)

Alltop construction for design number 2226 |

$PGL(2,19)++$ |

11030 5-(23,12,5040) (complement has $\lambda=26784$)

supplementary design of number 11029 |

8341 5-(25,10,5040) (complement has $\lambda=10464$)

residual design of number 8338 |

derived from number 8339 |

8225 5-(26,10,5040) (complement has $\lambda=15309$)

derived from number 8221 |

design of number 8222 with respect to smaller t |

8339 6-(26,11,5040) (complement has $\lambda=10464$)

residual design of number 8337 |

8221 6-(27,11,5040) (complement has $\lambda=15309$)

design of number 8220 with respect to smaller t |

derived from number 11332 |

4161 5-(28,10,5040) (complement has $\lambda=28609$)

\cite{Sebille98} $Sp(6,2)$ 129 isomorphism types |

11332 7-(28,12,5040) (complement has $\lambda=15309$)

TvT: 7-(27,11,1200) $\cup$ 7-(27,12,3840) |

7441 5-(29,9,5040) (complement has $\lambda=5586$)

design of number 7440 with respect to smaller t |

residual design of number 7575 |

9572 5-(33,9,5040) (complement has $\lambda=15435$)

design of number 9569 with respect to smaller t |

9876 5-(34,9,5040) (complement has $\lambda=18711$)

derived from number 9871 |

9871 6-(35,10,5040) (complement has $\lambda=18711$)

derived from number 9869 |

9869 7-(36,11,5040) (complement has $\lambda=18711$)

$Sp(6,2)_36$ (many isomorphism types) |

9404 5-(31,9,5060) (complement has $\lambda=9890$)

residual design of number 9398 |

derived from number 9399 |

9399 6-(32,10,5060) (complement has $\lambda=9890$)

residual design of number 9396 |

10621 5-(24,10,5076) (complement has $\lambda=6552$)

derived from number 10614 |

10614 6-(25,11,5076) (complement has $\lambda=6552$)

derived from number 10606 |

10606 7-(26,12,5076) (complement has $\lambda=6552$)

derived from number 10603 |

10603 8-(27,13,5076) (complement has $\lambda=6552$)

$ASL(3,3)$ |

derived from number 10609 |

10609 9-(28,14,5076) (complement has $\lambda=6552$)

Alltop construction for design number 10603 |

7511 5-(29,9,5082) (complement has $\lambda=5544$)

derived from number 7509 |

7509 6-(30,10,5082) (complement has $\lambda=5544$)

$P\Gamma L(2,27)++$ \cite{Bettenetal97b} |

6383 5-(26,10,5103) (complement has $\lambda=15246$)

derived from number 6381 |

design of number 8237 with respect to smaller t |

6381 6-(27,11,5103) (complement has $\lambda=15246$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8236 with respect to smaller t |

derived from number 8829 |

8829 7-(28,12,5103) (complement has $\lambda=15246$)

TvT: 7-(27,11,1215) $\cup$ 7-(27,12,3888) |

2236 5-(22,11,5124) (complement has $\lambda=7252$)

Alltop construction for design number 2233 |

$PGL(2,19)++$ |

10911 5-(24,12,5130) (complement has $\lambda=45258$)

Alltop construction for design number 10908 |

Tran van Trung construction with supplementary design for design number 10966 |

8350 5-(25,10,5136) (complement has $\lambda=10368$)

residual design of number 8347 |

derived from number 8348 |

8348 6-(26,11,5136) (complement has $\lambda=10368$)

residual design of number 8346 |

derived from number 8681 |

8681 7-(27,12,5136) (complement has $\lambda=10368$)

\cite{Sebille98} $AGL(3,3)$ |

7956 5-(24,10,5148) (complement has $\lambda=6480$)

residual design of number 7953 |

derived from number 7954 |

7954 6-(25,11,5148) (complement has $\lambda=6480$)

residual design of number 7951 |

derived from number 10637 |

10637 7-(26,12,5148) (complement has $\lambda=6480$)

derived from number 10635 |

10635 8-(27,13,5148) (complement has $\lambda=6480$)

$ASL(3,3)$ |

derived from number 10639 |

10639 9-(28,14,5148) (complement has $\lambda=6480$)

Alltop construction for design number 10635 |

2309 5-(22,11,5152) (complement has $\lambda=7224$)

$PSL(3,4)+$ |

Alltop construction for design number 2311 |

5589 5-(23,11,5166) (complement has $\lambda=13398$)

design of number 5587 with respect to smaller t |

derived from number 5592 |

5592 6-(24,12,5166) (complement has $\lambda=13398$)

Tran van Trung construction with supplementary design for design number 5587 |

design of number 5593 with respect to smaller t |

7447 5-(29,9,5166) (complement has $\lambda=5460$)

design of number 7446 with respect to smaller t |

derived from number 7518 |

7518 6-(30,10,5166) (complement has $\lambda=5460$)

$P\Gamma L(2,27)++$ \cite{Bettenetal97b} |

10866 5-(23,12,5184) (complement has $\lambda=26640$)

supplementary design of number 10865 |

10491 5-(24,10,5184) (complement has $\lambda=6444$)

residual design of number 10489 |

derived from number 10490 |

8358 5-(25,10,5184) (complement has $\lambda=10320$)

residual design of number 8356 |

derived from number 8357 |

design of number 10501 with respect to smaller t |

10490 6-(25,11,5184) (complement has $\lambda=6444$)

residual design of number 10487 |

8357 6-(26,11,5184) (complement has $\lambda=10320$)

residual design of number 8355 |

derived from number 8687 |

design of number 10499 with respect to smaller t |

8687 7-(27,12,5184) (complement has $\lambda=10320$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 10498 with respect to smaller t |

536 5-(22,11,5208) (complement has $\lambda=7168$)

Alltop construction for design number 533 |

PGL(3,4)+ Alltop construction from 4-(21,10,5208) |

1866 5-(22,11,5236) (complement has $\lambda=7140$)

Tran van Trung construction with supplementary design for design number 1861 |

Alltop construction for design number 1863 |

\cite{Kreher95} |

design of number 5573 with respect to smaller t |

7570 5-(30,9,5250) (complement has $\lambda=7400$)

design of number 7569 with respect to smaller t |

derived from number 7592 |

7592 6-(31,10,5250) (complement has $\lambda=7400$)

(Tran van Trung construction): 6-(30,9,840) together with 6-(30,10,4410) \cite{Bettenetal97b} |

10979 5-(23,12,5256) (complement has $\lambda=26568$)

supplementary design of number 10978 |

9896 5-(34,9,5271) (complement has $\lambda=18480$)

derived from number 9891 |

9891 6-(35,10,5271) (complement has $\lambda=18480$)

derived from number 9889 |

9889 7-(36,11,5271) (complement has $\lambda=18480$)

$Sp(6,2)_36$ (many isomorphism types) |

8370 5-(25,10,5280) (complement has $\lambda=10224$)

residual design of number 8364 |

derived from number 8365 |

8365 6-(26,11,5280) (complement has $\lambda=10224$)

residual design of number 8362 |

5159 5-(31,9,5280) (complement has $\lambda=9670$)

derived from number 5157 |

5157 6-(32,10,5280) (complement has $\lambda=9670$)

$AGL(4,2)\times C_2$ |

7453 5-(29,9,5292) (complement has $\lambda=5334$)

design of number 7452 with respect to smaller t |

derived from number 7521 |

residual design of number 7552 |

7521 6-(30,10,5292) (complement has $\lambda=5334$)

$P\Gamma L(2,27)++$ (>= 4970 isom. types) \cite{Bettenetal97b} |

2532 5-(24,10,5310) (complement has $\lambda=6318$)

$PSL(2,23)$ (many isomorphism types) |

11356 5-(28,10,5313) (complement has $\lambda=28336$)

TvT: 5-(27,9,1155) $\cup$ 5-(27,10,4158) |

9592 5-(33,9,5355) (complement has $\lambda=15120$)

design of number 9589 with respect to smaller t |

500 5-(22,11,5376) (complement has $\lambda=7000$)

Alltop construction for design number 497 |

$PSL(3,4)+$ |

PSL(3,4)+ Alltop construction from 4-(21,10,5376) |

9916 5-(34,9,5376) (complement has $\lambda=18375$)

derived from number 9911 |

9911 6-(35,10,5376) (complement has $\lambda=18375$)

derived from number 9909 |

9909 7-(36,11,5376) (complement has $\lambda=18375$)

$Sp(6,2)_36$ (many isomorphism types) |

4824 5-(30,14,5390) (complement has $\lambda=2037585$)

\cite{MacWilliamsetal78} |

10869 5-(23,12,5400) (complement has $\lambda=26424$)

supplementary design of number 10868 |

2540 5-(24,10,5400) (complement has $\lambda=6228$)

$PSL(2,23)$ (many isomorphism types) |

8034 5-(25,11,5400) (complement has $\lambda=33360$)

residual design of number 8028 |

9438 5-(32,9,5400) (complement has $\lambda=12150$)

residual design of number 9433 |

design of number 9435 with respect to smaller t |

5595 5-(22,12,5412) (complement has $\lambda=14036$)

residual design of number 5588 |

7923 5-(25,10,5424) (complement has $\lambda=10080$)

derived from number 7919 |

design of number 7920 with respect to smaller t |

7919 6-(26,11,5424) (complement has $\lambda=10080$)

design of number 7918 with respect to smaller t |

2242 5-(22,11,5460) (complement has $\lambda=6916$)

Alltop construction for design number 2239 |

7841 5-(24,10,5472) (complement has $\lambda=6156$)

design of number 7838 with respect to smaller t |

residual design of number 7892 |

2331 5-(24,12,5472) (complement has $\lambda=44916$)

Tran van Trung construction with supplementary design for design number 2328 |

Alltop construction for design number 2330 |

7890 5-(25,10,5472) (complement has $\lambda=10032$)

design of number 7889 with respect to smaller t |

residual design of number 7902 |

derived from number 8377 |

8377 6-(26,11,5472) (complement has $\lambda=10032$)

residual design of number 8376 |

6392 5-(26,10,5481) (complement has $\lambda=14868$)

derived from number 6390 |

design of number 8247 with respect to smaller t |

6390 6-(27,11,5481) (complement has $\lambda=14868$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8246 with respect to smaller t |

5272 5-(34,9,5481) (complement has $\lambda=18270$)

TvT: 5-(33,8,756) $\cup$ 5-(33,9,4725) |

9468 5-(31,9,5520) (complement has $\lambda=9430$)

residual design of number 9462 |

2544 5-(24,10,5526) (complement has $\lambda=6102$)

$PSL(2,23)$ (many isomorphism types) |

488 5-(22,11,5544) (complement has $\lambda=6832$)

Alltop construction for design number 485 |

$PSL(3,4)+$ Alltop construction from 4-(21,10,5544) |

2548 5-(24,10,5544) (complement has $\lambda=6084$)

$PSL(2,23)$ (many isomorphism types) |

6344 5-(26,11,5544) (complement has $\lambda=48720$)

residual design of number 6341 |

4190 5-(27,10,5544) (complement has $\lambda=20790$)

residual design of number 4189 |

design of number 8010 with respect to smaller t |

2552 5-(24,10,5562) (complement has $\lambda=6066$)

$PSL(2,23)$ (many isomorphism types) |

8382 5-(25,10,5568) (complement has $\lambda=9936$)

residual design of number 8379 |

derived from number 8380 |

8380 6-(26,11,5568) (complement has $\lambda=9936$)

residual design of number 8378 |

10915 5-(24,12,5586) (complement has $\lambda=44802$)

Alltop construction for design number 10912 |

Tran van Trung construction with supplementary design for design number 10969 |

2560 5-(24,10,5598) (complement has $\lambda=6030$)

$PSL(2,23)$ (many isomorphism types) |

7573 5-(30,9,5600) (complement has $\lambda=7050$)

design of number 7572 with respect to smaller t |

derived from number 7595 |

7595 6-(31,10,5600) (complement has $\lambda=7050$)

(Tran van Trung construction): 6-(30,9,896) together with 6-(30,10,4704) \cite{Bettenetal97b} |

8261 5-(26,10,5607) (complement has $\lambda=14742$)

derived from number 8257 |

design of number 8258 with respect to smaller t |

8257 6-(27,11,5607) (complement has $\lambda=14742$)

design of number 8256 with respect to smaller t |

8396 5-(25,10,5616) (complement has $\lambda=9888$)

residual design of number 8390 |

derived from number 8391 |

8391 6-(26,11,5616) (complement has $\lambda=9888$)

residual design of number 8388 |

6833 5-(28,10,5635) (complement has $\lambda=28014$)

design of number 6832 with respect to smaller t |

2564 5-(24,10,5652) (complement has $\lambda=5976$)

$PSL(2,23)$ (many isomorphism types) |

544 5-(22,11,5656) (complement has $\lambda=6720$)

Alltop construction for design number 541 |

\cite{Kreher95} |

$PGL(3,4)+$ Alltop construction from 4-(21,10,5656) |

10880 5-(23,11,5670) (complement has $\lambda=12894$)

TvT: 5-(22,10,1890) $\cup$ 5-(22,11,3780) |

6402 5-(26,10,5670) (complement has $\lambda=14679$)

derived from number 6400 |

design of number 8276 with respect to smaller t |

6400 6-(27,11,5670) (complement has $\lambda=14679$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8275 with respect to smaller t |

9384 5-(32,9,5670) (complement has $\lambda=11880$)

derived from number 9381 |

design of number 9382 with respect to smaller t |

residual design of number 9453 |

9381 6-(33,10,5670) (complement has $\lambda=11880$)

design of number 9380 with respect to smaller t |

residual design of number 9608 |

7962 5-(24,10,5688) (complement has $\lambda=5940$)

residual design of number 7959 |

derived from number 7960 |

7960 6-(25,11,5688) (complement has $\lambda=5940$)

residual design of number 7957 |

1873 5-(22,11,5712) (complement has $\lambda=6664$)

Tran van Trung construction with supplementary design for design number 1870 |

Alltop construction for design number 1872 |

\cite{Kreher95} $PSL(3,4)+$ |

design of number 5574 with respect to smaller t |

residual design of number 11500 |

derived from number 11501 |

2349 5-(23,11,5712) (complement has $\lambda=12852$)

TvT: 5-(22,10,1904) $\cup$ 5-(22,11,3808) |

11501 6-(23,12,5712) (complement has $\lambda=6664$)

supplementary design of number 11500 |

residual design of number 11503 |

8410 5-(25,10,5712) (complement has $\lambda=9792$)

residual design of number 8408 |

derived from number 8409 |

8409 6-(26,11,5712) (complement has $\lambda=9792$)

residual design of number 8407 |

2568 5-(24,10,5724) (complement has $\lambda=5904$)

$PSL(2,23)$ (many isomorphism types) |

9484 5-(31,9,5750) (complement has $\lambda=9200$)

residual design of number 9481 |

2576 5-(24,10,5760) (complement has $\lambda=5868$)

$PSL(2,23)$ (many isomorphism types) |

9936 5-(34,9,5775) (complement has $\lambda=17976$)

derived from number 9931 |

9931 6-(35,10,5775) (complement has $\lambda=17976$)

derived from number 9929 |

9929 7-(36,11,5775) (complement has $\lambda=17976$)

$Sp(6,2)_36$ (many isomorphism types) |

7970 5-(24,10,5778) (complement has $\lambda=5850$)

residual design of number 7965 |

derived from number 7966 |

7966 6-(25,11,5778) (complement has $\lambda=5850$)

residual design of number 7963 |

2254 5-(22,11,5796) (complement has $\lambda=6580$)

Alltop construction for design number 2251 |

7984 5-(24,10,5796) (complement has $\lambda=5832$)

derived from number 7980 |

residual design of number 10517 |

7980 6-(25,11,5796) (complement has $\lambda=5832$)

derived from number 7978 |

residual design of number 10516 |

8289 5-(26,10,5796) (complement has $\lambda=14553$)

derived from number 8285 |

design of number 8286 with respect to smaller t |

7978 7-(26,12,5796) (complement has $\lambda=5832$)

$P\Gamma L(2,25)$(>=1 isom. type) |

residual design of number 10515 |

8285 6-(27,11,5796) (complement has $\lambda=14553$)

design of number 8284 with respect to smaller t |

2580 5-(24,10,5814) (selfcomplementary)

$PSL(2,23)$ (many isomorphism types) halving of complete design! |

design of number 5662 with respect to smaller t |

complementary design of number 5662 with respect to smaller t |

residual design of number 5788 |

residual design of complement of number 5788 |

2260 5-(22,11,5824) (complement has $\lambda=6552$)

Alltop construction for design number 2257 |

$PSL(3,4)+$ |

8700 5-(25,10,5832) (complement has $\lambda=9672$)

derived from number 8695 |

8695 6-(26,11,5832) (complement has $\lambda=9672$)

derived from number 8693 |

8693 7-(27,12,5832) (complement has $\lambda=9672$)

$ASL(3,3)$ |

5015 5-(31,9,5850) (complement has $\lambda=9100$)

TvT: 5-(30,8,900) $\cup$ 5-(30,9,4950) |

design of number 7651 with respect to smaller t |

derived from number 7652 |

7652 6-(32,10,5850) (complement has $\lambda=9100$)

TvT: 6-(31,9,900) $\cup$ 6-(31,10,4950) |

528 5-(22,11,5880) (complement has $\lambda=6496$)

Alltop construction for design number 525 |

$PGL(3,4)+$, $PGL(2,19)++$, Alltop construction from 4-(21,10,5880) |

9956 5-(34,9,5880) (complement has $\lambda=17871$)

derived from number 9951 |

9951 6-(35,10,5880) (complement has $\lambda=17871$)

derived from number 9949 |

9949 7-(36,11,5880) (complement has $\lambda=17871$)

$Sp(6,2)_36$ (many isomorphism types) |

8418 5-(25,10,5904) (complement has $\lambda=9600$)

residual design of number 8415 |

derived from number 8416 |

8416 6-(26,11,5904) (complement has $\lambda=9600$)

residual design of number 8414 |

10757 5-(24,12,5928) (complement has $\lambda=44460$)

Alltop construction for design number 10754 |

Tran van Trung construction with supplementary design for design number 10847 |

9401 5-(32,9,5940) (complement has $\lambda=11610$)

derived from number 9397 |

design of number 9398 with respect to smaller t |

9397 6-(33,10,5940) (complement has $\lambda=11610$)

design of number 9396 with respect to smaller t |

5642 5-(22,11,5964) (complement has $\lambda=6412$)

residual design of number 5638 |

derived from number 5639 |

Alltop construction for design number 5652 |

5639 6-(23,12,5964) (complement has $\lambda=6412$)

supplementary design of number 5638 |

residual design of number 5644 |

2313 5-(22,11,5992) (complement has $\lambda=6384$)

$PSL(3,4)+$ |

Alltop construction for design number 2315 |

8431 5-(25,10,6000) (complement has $\lambda=9504$)

residual design of number 8425 |

derived from number 8426 |

8426 6-(26,11,6000) (complement has $\lambda=9504$)

residual design of number 8423 |

7576 5-(30,9,6000) (complement has $\lambda=6650$)

design of number 7575 with respect to smaller t |

5666 5-(23,11,6006) (complement has $\lambda=12558$)

residual design of number 5663 |

496 5-(22,11,6048) (complement has $\lambda=6328$)

Alltop construction for design number 493 |

$PSL(3,4)+$ Alltop construction from 4-(21,10,6048) |

8445 5-(25,10,6048) (complement has $\lambda=9456$)

residual design of number 8439 |

derived from number 8440 |

6410 5-(26,10,6048) (complement has $\lambda=14301$)

derived from number 6408 |

design of number 8299 with respect to smaller t |

6354 5-(26,11,6048) (complement has $\lambda=48216$)

residual design of number 6351 |

design of number 8018 with respect to smaller t |

8440 6-(26,11,6048) (complement has $\lambda=9456$)

residual design of number 8437 |

6408 6-(27,11,6048) (complement has $\lambda=14301$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8298 with respect to smaller t |

7460 5-(29,10,6048) (complement has $\lambda=36456$)

residual design of number 7458 |

4314 5-(28,13,6072) (complement has $\lambda=484242$)

TvT: 5-(27,12,2112) $\cup$ 5-(27,13,3960) |

9976 5-(34,9,6111) (complement has $\lambda=17640$)

derived from number 9971 |

9971 6-(35,10,6111) (complement has $\lambda=17640$)

derived from number 9969 |

9969 7-(36,11,6111) (complement has $\lambda=17640$)

$Sp(6,2)_36$ (many isomorphism types) |

11485 5-(23,12,6120) (complement has $\lambda=25704$)

supplementary design of number 11484 |

design of number 11495 with respect to smaller t |

residual design of number 11496 |

8052 5-(25,11,6120) (complement has $\lambda=32640$)

residual design of number 8048 |

7938 5-(25,10,6144) (complement has $\lambda=9360$)

derived from number 7935 |

design of number 7936 with respect to smaller t |

residual design of number 8458 |

7935 6-(26,11,6144) (complement has $\lambda=9360$)

design of number 7934 with respect to smaller t |

residual design of number 8457 |

derived from number 11560 |

11560 7-(27,12,6144) (complement has $\lambda=9360$)

TvT: 7-(26,11,1536) $\cup$ 7-(26,12,4608) |

11006 5-(24,12,6156) (complement has $\lambda=44232$)

Alltop construction for design number 11003 |

Tran van Trung construction with supplementary design for design number 11026 |

4073 5-(27,14,6160) (complement has $\lambda=491260$)

supplementary design of number 4072 |

6419 5-(26,10,6174) (complement has $\lambda=14175$)

derived from number 6417 |

design of number 8306 with respect to smaller t |

6417 6-(27,11,6174) (complement has $\lambda=14175$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8305 with respect to smaller t |

1821 5-(22,11,6188) (selfcomplementary)

Tran van Trung construction with supplementary design for design number 1816 |

Alltop construction for design number 1818 |

design of number 1822 with respect to smaller t |

complementary design of number 1822 with respect to smaller t |

9996 5-(34,9,6216) (complement has $\lambda=17535$)

derived from number 9991 |

9991 6-(35,10,6216) (complement has $\lambda=17535$)

derived from number 9989 |

9989 7-(36,11,6216) (complement has $\lambda=17535$)

$Sp(6,2)_36$ (many isomorphism types) |

6427 5-(26,10,6237) (complement has $\lambda=14112$)

derived from number 6425 |

design of number 8310 with respect to smaller t |

6332 5-(27,11,6237) (complement has $\lambda=68376$)

design of number 6331 with respect to smaller t |

6425 6-(27,11,6237) (complement has $\lambda=14112$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8309 with respect to smaller t |

5169 5-(31,9,6240) (complement has $\lambda=8710$)

derived from number 5167 |

5167 6-(32,10,6240) (complement has $\lambda=8710$)

$AGL(4,2)\times C_2$ |

10761 5-(24,12,6270) (complement has $\lambda=44118$)

Alltop construction for design number 10758 |

Tran van Trung construction with supplementary design for design number 10850 |

7553 5-(30,9,6300) (complement has $\lambda=6350$)

design of number 7552 with respect to smaller t |

derived from number 7598 |

7598 6-(31,10,6300) (complement has $\lambda=6350$)

(Tran van Trung construction): 6-(30,9,1008) together with 6-(30,10,5292) \cite{Bettenetal97b} |

9436 5-(33,9,6300) (complement has $\lambda=14175$)

design of number 9433 with respect to smaller t |

2730 5-(24,12,6336) (complement has $\lambda=44052$)

Alltop construction for design number 2732 |

8465 5-(25,10,6336) (complement has $\lambda=9168$)

residual design of number 8462 |

derived from number 8463 |

8463 6-(26,11,6336) (complement has $\lambda=9168$)

residual design of number 8461 |

8631 5-(25,11,6360) (complement has $\lambda=32400$)

residual design of number 8628 |

derived from number 8629 |

8629 6-(26,12,6360) (complement has $\lambda=32400$)

residual design of number 8627 |

8322 5-(26,10,6363) (complement has $\lambda=13986$)

derived from number 8318 |

design of number 8319 with respect to smaller t |

8318 6-(27,11,6363) (complement has $\lambda=13986$)

design of number 8317 with respect to smaller t |

2734 5-(24,12,6384) (complement has $\lambda=44004$)

Alltop construction for design number 2736 |

11051 5-(26,11,6384) (complement has $\lambda=47880$)

TvT: 5-(25,10,1824) $\cup$ 5-(25,11,4560) |

5179 5-(31,9,6390) (complement has $\lambda=8560$)

derived from number 5177 |

5177 6-(32,10,6390) (complement has $\lambda=8560$)

$AGL(4,2)\times C_2$ |

5609 5-(23,11,6426) (complement has $\lambda=12138$)

design of number 5607 with respect to smaller t |

derived from number 5611 |

5611 6-(24,12,6426) (complement has $\lambda=12138$)

Tran van Trung construction with supplementary design for design number 5607 |

design of number 5612 with respect to smaller t |

8477 5-(25,10,6432) (complement has $\lambda=9072$)

residual design of number 8471 |

derived from number 8472 |

8472 6-(26,11,6432) (complement has $\lambda=9072$)

residual design of number 8469 |

derived from number 8718 |

8718 7-(27,12,6432) (complement has $\lambda=9072$)

\cite{Sebille98} $AGL(3,3)$ |

9498 5-(31,9,6440) (complement has $\lambda=8510$)

residual design of number 9492 |

10872 5-(23,12,6480) (complement has $\lambda=25344$)

supplementary design of number 10871 |

8491 5-(25,10,6480) (complement has $\lambda=9024$)

residual design of number 8488 |

derived from number 8489 |

8065 5-(25,11,6480) (complement has $\lambda=32280$)

residual design of number 8060 |

derived from number 8640 |

8489 6-(26,11,6480) (complement has $\lambda=9024$)

residual design of number 8487 |

derived from number 8729 |

8640 6-(26,12,6480) (complement has $\lambda=32280$)

residual design of number 8639 |

8729 7-(27,12,6480) (complement has $\lambda=9024$)

\cite{Sebille98} $AGL(3,3)$ many isomorphism types |

9465 5-(32,9,6480) (complement has $\lambda=11070$)

residual design of number 9460 |

design of number 9462 with respect to smaller t |

10919 5-(24,12,6498) (complement has $\lambda=43890$)

Alltop construction for design number 10916 |

Tran van Trung construction with supplementary design for design number 10972 |

5680 5-(23,11,6510) (complement has $\lambda=12054$)

derived from number 5678 |

5678 6-(24,12,6510) (complement has $\lambda=12054$)

PSL(2,23) (>=2 isom. types) |

2356 5-(23,11,6552) (complement has $\lambda=12012$)

TvT: 5-(22,10,2184) $\cup$ 5-(22,11,4368) |

8500 5-(25,10,6576) (complement has $\lambda=8928$)

residual design of number 8497 |

derived from number 8498 |

8498 6-(26,11,6576) (complement has $\lambda=8928$)

residual design of number 8496 |

3833 5-(25,12,6600) (complement has $\lambda=70920$)

TvT: 5-(24,11,2310) $\cup$ 5-(24,12,4290) |

10765 5-(24,12,6612) (complement has $\lambda=43776$)

Alltop construction for design number 10762 |

Tran van Trung construction with supplementary design for design number 10853 |

6435 5-(26,10,6615) (complement has $\lambda=13734$)

derived from number 6433 |

design of number 8338 with respect to smaller t |

6433 6-(27,11,6615) (complement has $\lambda=13734$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8337 with respect to smaller t |

4197 5-(33,9,6615) (complement has $\lambda=13860$)

derived from number 4195 |

design of number 9453 with respect to smaller t |

10016 5-(34,9,6615) (complement has $\lambda=17136$)

derived from number 10011 |

4195 6-(34,10,6615) (complement has $\lambda=13860$)

\cite{Sebille98} $P\Gamma L(2,32)\cup S_2$ |

\cite{Sebille98} $P\Gamma L(2,32)\cup S_2$ |

TvT: 6-(33,9,945) $\cup$ 6-(33,10,5670) |

design of number 9608 with respect to smaller t |

10011 6-(35,10,6615) (complement has $\lambda=17136$)

derived from number 10009 |

10009 7-(36,11,6615) (complement has $\lambda=17136$)

$Sp(6,2)_36$ (many isomorphism types) |

8595 5-(26,11,6636) (complement has $\lambda=47628$)

derived from number 8591 |

design of number 8592 with respect to smaller t |

8591 6-(27,12,6636) (complement has $\lambda=47628$)

design of number 8590 with respect to smaller t |

9518 5-(31,9,6670) (complement has $\lambda=8280$)

residual design of number 9512 |

5620 5-(23,11,6678) (complement has $\lambda=11886$)

design of number 5618 with respect to smaller t |

derived from number 5623 |

5623 6-(24,12,6678) (complement has $\lambda=11886$)

Tran van Trung construction with supplementary design for design number 5618 |

design of number 5624 with respect to smaller t |

10982 5-(23,12,6696) (complement has $\lambda=25128$)

supplementary design of number 10981 |

8082 5-(25,11,6720) (complement has $\lambda=32040$)

residual design of number 8076 |

4165 5-(28,10,6720) (complement has $\lambda=26929$)

\cite{Sebille98} $Sp(6,2)$ 412 isomorphism types |

10036 5-(34,9,6720) (complement has $\lambda=17031$)

derived from number 10031 |

10031 6-(35,10,6720) (complement has $\lambda=17031$)

derived from number 10029 |

10029 7-(36,11,6720) (complement has $\lambda=17031$)

$Sp(6,2)_36$ (many isomorphism types) |

5614 5-(22,12,6732) (complement has $\lambda=12716$)

residual design of number 5608 |

6444 5-(26,10,6741) (complement has $\lambda=13608$)

derived from number 6442 |

design of number 8347 with respect to smaller t |

6442 6-(27,11,6741) (complement has $\lambda=13608$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8346 with respect to smaller t |

derived from number 8830 |

8830 7-(28,12,6741) (complement has $\lambda=13608$)

TvT: 7-(27,11,1605) $\cup$ 7-(27,12,5136) |

9483 5-(32,9,6750) (complement has $\lambda=10800$)

residual design of number 9480 |

design of number 9481 with respect to smaller t |

8514 5-(25,10,6768) (complement has $\lambda=8736$)

residual design of number 8508 |

derived from number 8509 |

8509 6-(26,11,6768) (complement has $\lambda=8736$)

residual design of number 8506 |

6453 5-(26,10,6804) (complement has $\lambda=13545$)

derived from number 6451 |

design of number 8356 with respect to smaller t |

6646 5-(26,11,6804) (complement has $\lambda=47460$)

derived from number 6644 |

design of number 8616 with respect to smaller t |

6845 5-(27,10,6804) (complement has $\lambda=19530$)

residual design of number 6842 |

6451 6-(27,11,6804) (complement has $\lambda=13545$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8355 with respect to smaller t |

derived from number 8831 |

6644 6-(27,12,6804) (complement has $\lambda=47460$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8615 with respect to smaller t |

8831 7-(28,12,6804) (complement has $\lambda=13545$)

TvT: 7-(27,11,1620) $\cup$ 7-(27,12,5184) |

11044 5-(24,12,6840) (complement has $\lambda=43548$)

Alltop construction for design number 11041 |

Tran van Trung construction with supplementary design for design number 11046 |

11090 5-(25,12,6840) (complement has $\lambda=70680$)

TvT: 5-(24,11,2394) $\cup$ 5-(24,12,4446) |

7955 5-(25,10,6864) (complement has $\lambda=8640$)

derived from number 7952 |

design of number 7953 with respect to smaller t |

residual design of number 8526 |

7952 6-(26,11,6864) (complement has $\lambda=8640$)

design of number 7951 with respect to smaller t |

residual design of number 8525 |

derived from number 11549 |

11549 7-(27,12,6864) (complement has $\lambda=8640$)

TvT: 7-(26,11,1716) $\cup$ 7-(26,12,5148) |

5189 5-(31,9,6870) (complement has $\lambda=8080$)

derived from number 5187 |

5187 6-(32,10,6870) (complement has $\lambda=8080$)

$AGL(4,2)\times C_2$ |

2738 5-(24,12,6912) (complement has $\lambda=43476$)

Alltop construction for design number 2740 |

8532 5-(25,10,6912) (complement has $\lambda=8592$)

residual design of number 8530 |

derived from number 8531 |

design of number 10489 with respect to smaller t |

8531 6-(26,11,6912) (complement has $\lambda=8592$)

residual design of number 8529 |

design of number 10487 with respect to smaller t |

8367 5-(26,10,6930) (complement has $\lambda=13419$)

derived from number 8363 |

design of number 8364 with respect to smaller t |

8363 6-(27,11,6930) (complement has $\lambda=13419$)

design of number 8362 with respect to smaller t |

2742 5-(24,12,6960) (complement has $\lambda=43428$)

Alltop construction for design number 2744 |

5626 5-(22,12,6996) (complement has $\lambda=12452$)

residual design of number 5619 |

8540 5-(25,10,7008) (complement has $\lambda=8496$)

residual design of number 8537 |

derived from number 8538 |

8538 6-(26,11,7008) (complement has $\lambda=8496$)

residual design of number 8536 |

6364 5-(26,11,7056) (complement has $\lambda=47208$)

residual design of number 6361 |

7466 5-(29,10,7056) (complement has $\lambda=35448$)

residual design of number 7464 |

10056 5-(34,9,7056) (complement has $\lambda=16695$)

derived from number 10051 |

10051 6-(35,10,7056) (complement has $\lambda=16695$)

derived from number 10049 |

10049 7-(36,11,7056) (complement has $\lambda=16695$)

$Sp(6,2)_36$ (many isomorphism types) |

8742 5-(25,10,7080) (complement has $\lambda=8424$)

derived from number 8737 |

8737 6-(26,11,7080) (complement has $\lambda=8424$)

derived from number 8735 |

8735 7-(27,12,7080) (complement has $\lambda=8424$)

$ASL(3,3)$ |

4146 5-(28,10,7084) (complement has $\lambda=26565$)

TvT: 5-(27,9,1540) $\cup$ 5-(27,10,5544) |

design of number 4189 with respect to smaller t |

10875 5-(23,12,7128) (complement has $\lambda=24696$)

supplementary design of number 10874 |

8766 5-(25,10,7128) (complement has $\lambda=8376$)

derived from number 8761 |

8761 6-(26,11,7128) (complement has $\lambda=8376$)

derived from number 8759 |

8759 7-(27,12,7128) (complement has $\lambda=8376$)

$ASL(3,3)$ |

2364 5-(23,11,7140) (complement has $\lambda=11424$)

TvT: 5-(22,10,2380) $\cup$ 5-(22,11,4760) |

10769 5-(24,12,7182) (complement has $\lambda=43206$)

Alltop construction for design number 10766 |

Tran van Trung construction with supplementary design for design number 10856 |

6460 5-(26,10,7182) (complement has $\lambda=13167$)

derived from number 6459 |

design of number 7902 with respect to smaller t |

9186 5-(27,10,7182) (complement has $\lambda=19152$)

residual design of number 9183 |

6459 6-(27,11,7182) (complement has $\lambda=13167$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8376 with respect to smaller t |

8553 5-(25,10,7200) (complement has $\lambda=8304$)

residual design of number 8547 |

derived from number 8548 |

8101 5-(25,11,7200) (complement has $\lambda=31560$)

residual design of number 8095 |

8548 6-(26,11,7200) (complement has $\lambda=8304$)

residual design of number 8545 |

10923 5-(24,12,7296) (complement has $\lambda=43092$)

Alltop construction for design number 10920 |

Tran van Trung construction with supplementary design for design number 10975 |

7893 5-(25,10,7296) (complement has $\lambda=8208$)

design of number 7892 with respect to smaller t |

residual design of number 7904 |

derived from number 8564 |

8564 6-(26,11,7296) (complement has $\lambda=8208$)

residual design of number 8563 |

6464 5-(26,10,7308) (complement has $\lambda=13041$)

derived from number 6462 |

design of number 8379 with respect to smaller t |

6462 6-(27,11,7308) (complement has $\lambda=13041$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8378 with respect to smaller t |

2343 5-(23,12,7344) (complement has $\lambda=24480$)

supplementary design of number 2342 |

278 5-(25,10,7344) (complement has $\lambda=8160$)

residual design of number 275 |

derived from number 8566 |

8566 6-(26,11,7344) (complement has $\lambda=8160$)

residual design of number 8565 |

9538 5-(31,9,7360) (complement has $\lambda=7590$)

residual design of number 9532 |

3776 5-(25,10,7368) (complement has $\lambda=8136$)

TvT: 5-(24,9,1842) $\cup$ 5-(24,10,5526) |

8393 5-(26,10,7371) (complement has $\lambda=12978$)

derived from number 8389 |

design of number 8390 with respect to smaller t |

8389 6-(27,11,7371) (complement has $\lambda=12978$)

design of number 8388 with respect to smaller t |

5690 5-(23,11,7392) (complement has $\lambda=11172$)

derived from number 5688 |

5688 6-(24,12,7392) (complement has $\lambda=11172$)

PSL(2,23) (>=2 isom. types) |

3778 5-(25,10,7392) (complement has $\lambda=8112$)

TvT: 5-(24,9,1848) $\cup$ 5-(24,10,5544) |

8573 5-(25,10,7440) (complement has $\lambda=8064$)

residual design of number 8570 |

derived from number 8571 |

8121 5-(25,11,7440) (complement has $\lambda=31320$)

residual design of number 8115 |

8571 6-(26,11,7440) (complement has $\lambda=8064$)

residual design of number 8569 |

5199 5-(31,9,7440) (complement has $\lambda=7510$)

derived from number 5197 |

5197 6-(32,10,7440) (complement has $\lambda=7510$)

$AGL(4,2)\times C_2$ |

10076 5-(34,9,7455) (complement has $\lambda=16296$)

derived from number 10071 |

10071 6-(35,10,7455) (complement has $\lambda=16296$)

derived from number 10069 |

10069 7-(36,11,7455) (complement has $\lambda=16296$)

$Sp(6,2)_36$ (many isomorphism types) |

10537 5-(24,11,7476) (complement has $\lambda=19656$)

residual design of number 10529 |

derived from number 10530 |

10530 6-(25,12,7476) (complement has $\lambda=19656$)

residual design of number 10521 |

derived from number 10522 |

10522 7-(26,13,7476) (complement has $\lambda=19656$)

residual design of number 10518 |

derived from number 10519 |

Alltop construction for design number 10530 |

10519 8-(27,14,7476) (complement has $\lambda=19656$)

supplementary design of number 10518 |

residual design of number 10524 |

2686 5-(24,12,7488) (complement has $\lambda=42900$)

Alltop construction for design number 2684 |

256 5-(26,10,7497) (complement has $\lambda=12852$)

residual design of number 253 |

derived from number 6472 |

design of number 8408 with respect to smaller t |

6472 6-(27,11,7497) (complement has $\lambda=12852$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8407 with respect to smaller t |

10883 5-(23,11,7560) (complement has $\lambda=11004$)

TvT: 5-(22,10,2520) $\cup$ 5-(22,11,5040) |

10569 5-(24,11,7560) (complement has $\lambda=19572$)

residual design of number 10561 |

derived from number 10562 |

8140 5-(25,11,7560) (complement has $\lambda=31200$)

residual design of number 8134 |

10562 6-(25,12,7560) (complement has $\lambda=19572$)

residual design of number 10553 |

derived from number 10554 |

8031 5-(26,11,7560) (complement has $\lambda=46704$)

residual design of number 8026 |

design of number 8028 with respect to smaller t |

10554 7-(26,13,7560) (complement has $\lambda=19572$)

residual design of number 10550 |

derived from number 10551 |

Alltop construction for design number 10562 |

10551 8-(27,14,7560) (complement has $\lambda=19572$)

supplementary design of number 10550 |

residual design of number 10556 |

4169 5-(28,10,7560) (complement has $\lambda=26089$)

\cite{Sebille98} $Sp(6,2)$ 810 isomorphism types |

7459 5-(30,10,7560) (complement has $\lambda=45570$)

design of number 7458 with respect to smaller t |

residual design of number 7578 |

9495 5-(32,9,7560) (complement has $\lambda=9990$)

residual design of number 9490 |

design of number 9492 with respect to smaller t |

9463 5-(33,9,7560) (complement has $\lambda=12915$)

design of number 9460 with respect to smaller t |

10096 5-(34,9,7560) (complement has $\lambda=16191$)

derived from number 10091 |

10091 6-(35,10,7560) (complement has $\lambda=16191$)

derived from number 10089 |

7694 5-(36,9,7560) (complement has $\lambda=23905$)

residual design of number 7691 |

10089 7-(36,11,7560) (complement has $\lambda=16191$)

$Sp(6,2)_36$ (many isomorphism types) |

10333 5-(38,9,7560) (complement has $\lambda=33360$)

residual design of number 10327 |

derived from number 10328 |

10328 6-(39,10,7560) (complement has $\lambda=33360$)

residual design of number 10325 |

7961 5-(25,10,7584) (complement has $\lambda=7920$)

derived from number 7958 |

design of number 7959 with respect to smaller t |

7958 6-(26,11,7584) (complement has $\lambda=7920$)

design of number 7957 with respect to smaller t |

6342 5-(27,11,7623) (complement has $\lambda=66990$)

design of number 6341 with respect to smaller t |

3780 5-(25,10,7632) (complement has $\lambda=7872$)

TvT: 5-(24,9,1908) $\cup$ 5-(24,10,5724) |

residual design of number 8579 |

derived from number 8580 |

8580 6-(26,11,7632) (complement has $\lambda=7872$)

residual design of number 8578 |

10773 5-(24,12,7638) (complement has $\lambda=42750$)

Alltop construction for design number 10770 |

Tran van Trung construction with supplementary design for design number 10859 |

9198 5-(27,10,7668) (complement has $\lambda=18666$)

residual design of number 9192 |

derived from number 9193 |

9193 6-(28,11,7668) (complement has $\lambda=18666$)

residual design of number 9190 |

3782 5-(25,10,7680) (complement has $\lambda=7824$)

TvT: 5-(24,9,1920) $\cup$ 5-(24,10,5760) |

10984 5-(23,11,7686) (complement has $\lambda=10878$)

TvT: 5-(22,10,2562) $\cup$ 5-(22,11,5124) |

7968 5-(25,10,7704) (complement has $\lambda=7800$)

derived from number 7964 |

design of number 7965 with respect to smaller t |

7964 6-(26,11,7704) (complement has $\lambda=7800$)

design of number 7963 with respect to smaller t |

5792 5-(24,11,7728) (complement has $\lambda=19404$)

derived from number 5789 |

3784 5-(25,10,7728) (complement has $\lambda=7776$)

TvT: 5-(24,9,1932) $\cup$ 5-(24,10,5796) |

residual design of number 8586 |

derived from number 8587 |

design of number 10517 with respect to smaller t |

5789 6-(25,12,7728) (complement has $\lambda=19404$)

PSL(2,23)+ (many isom. types) |

derived from number 5795 |

8587 6-(26,11,7728) (complement has $\lambda=7776$)

residual design of number 8585 |

derived from number 8775 |

design of number 10516 with respect to smaller t |

5795 7-(26,13,7728) (complement has $\lambda=19404$)

Alltop construction for design number 5789 |

PSL(2,23)++ Alltop construction (many isom. types) |

8775 7-(27,12,7728) (complement has $\lambda=7776$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 10515 with respect to smaller t |

6478 5-(26,10,7749) (complement has $\lambda=12600$)

derived from number 6476 |

design of number 8415 with respect to smaller t |

6476 6-(27,11,7749) (complement has $\lambda=12600$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8414 with respect to smaller t |

2338 5-(24,12,7752) (complement has $\lambda=42636$)

Tran van Trung construction with supplementary design for design number 2335 |

Alltop construction for design number 2337 |

3787 5-(25,10,7752) (selfcomplementary)

$PSL(2,23)+$ TvT construction 5-(24,9,1938) $\cup$ 5-(24,10,5814) Halving of the complete design |

design of number 5788 with respect to smaller t |

complementary design of number 5788 with respect to smaller t |

10878 5-(23,12,7776) (complement has $\lambda=24048$)

supplementary design of number 10877 |

10116 5-(34,9,7791) (complement has $\lambda=15960$)

derived from number 10111 |

10111 6-(35,10,7791) (complement has $\lambda=15960$)

derived from number 10109 |

10109 7-(36,11,7791) (complement has $\lambda=15960$)

$Sp(6,2)_36$ (many isomorphism types) |

6855 5-(27,10,7812) (complement has $\lambda=18522$)

residual design of number 6852 |

9515 5-(32,9,7830) (complement has $\lambda=9720$)

residual design of number 9510 |

design of number 9512 with respect to smaller t |

5812 5-(24,11,7854) (complement has $\lambda=19278$)

derived from number 5809 |

5809 6-(25,12,7854) (complement has $\lambda=19278$)

PSL(2,23)+ (many isom. types) |

derived from number 5815 |

5815 7-(26,13,7854) (complement has $\lambda=19278$)

Alltop construction for design number 5809 |

PSL(2,23)++ Alltop construction (many isom. types) |

10777 5-(24,12,7866) (complement has $\lambda=42522$)

Alltop construction for design number 10774 |

Tran van Trung construction with supplementary design for design number 10862 |

8428 5-(26,10,7875) (complement has $\lambda=12474$)

derived from number 8424 |

design of number 8425 with respect to smaller t |

8424 6-(27,11,7875) (complement has $\lambda=12474$)

design of number 8423 with respect to smaller t |

9482 5-(33,9,7875) (complement has $\lambda=12600$)

design of number 9480 with respect to smaller t |

residual design of number 9610 |

derived from number 10669 |

10669 6-(34,10,7875) (complement has $\lambda=12600$)

residual design of number 10667 |

derived from number 10668 |

10668 7-(35,11,7875) (complement has $\lambda=12600$)

residual design of number 10666 |

5700 5-(23,11,7896) (complement has $\lambda=10668$)

derived from number 5698 |

5698 6-(24,12,7896) (complement has $\lambda=10668$)

PSL(2,23) (>=2 isom. types) |

10136 5-(34,9,7896) (complement has $\lambda=15855$)

derived from number 10131 |

10131 6-(35,10,7896) (complement has $\lambda=15855$)

derived from number 10129 |

10129 7-(36,11,7896) (complement has $\lambda=15855$)

$Sp(6,2)_36$ (many isomorphism types) |

8442 5-(26,10,7938) (complement has $\lambda=12411$)

derived from number 8438 |

design of number 8439 with respect to smaller t |

6865 5-(27,10,7938) (complement has $\lambda=18396$)

residual design of number 6862 |

8438 6-(27,11,7938) (complement has $\lambda=12411$)

design of number 8437 with respect to smaller t |

11010 5-(24,12,7980) (complement has $\lambda=42408$)

Alltop construction for design number 11007 |

Tran van Trung construction with supplementary design for design number 11029 |

8649 5-(25,11,7980) (complement has $\lambda=30780$)

residual design of number 8646 |

derived from number 8647 |

8647 6-(26,12,7980) (complement has $\lambda=30780$)

residual design of number 8645 |

6488 5-(26,10,8064) (complement has $\lambda=12285$)

derived from number 6486 |

design of number 8458 with respect to smaller t |

6486 6-(27,11,8064) (complement has $\lambda=12285$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8457 with respect to smaller t |

derived from number 11561 |

11561 7-(28,12,8064) (complement has $\lambda=12285$)

TvT: 7-(27,11,1920) $\cup$ 7-(27,12,6144) |

10886 5-(23,11,8190) (complement has $\lambda=10374$)

TvT: 5-(22,10,2730) $\cup$ 5-(22,11,5460) |

5832 5-(24,11,8190) (complement has $\lambda=18942$)

derived from number 5829 |

5829 6-(25,12,8190) (complement has $\lambda=18942$)

PSL(2,23)+ (many isom. types) |

derived from number 5835 |

5835 7-(26,13,8190) (complement has $\lambda=18942$)

Alltop construction for design number 5829 |

PSL(2,23)++ Alltop construction (many isom. types) |

10781 5-(24,12,8208) (complement has $\lambda=42180$)

Alltop construction for design number 10778 |

Tran van Trung construction with supplementary design for design number 10865 |

7912 5-(24,11,8232) (complement has $\lambda=18900$)

residual design of number 7908 |

8160 5-(25,11,8280) (complement has $\lambda=30480$)

residual design of number 8154 |

10156 5-(34,9,8295) (complement has $\lambda=15456$)

derived from number 10151 |

10151 6-(35,10,8295) (complement has $\lambda=15456$)

derived from number 10149 |

10149 7-(36,11,8295) (complement has $\lambda=15456$)

$Sp(6,2)_36$ (many isomorphism types) |

10987 5-(23,11,8316) (complement has $\lambda=10248$)

TvT: 5-(22,10,2772) $\cup$ 5-(22,11,5544) |

5852 5-(24,11,8316) (complement has $\lambda=18816$)

derived from number 5849 |

5849 6-(25,12,8316) (complement has $\lambda=18816$)

PSL(2,23)+ (many isom. types) |

derived from number 5855 |

6496 5-(26,10,8316) (complement has $\lambda=12033$)

derived from number 6494 |

design of number 8462 with respect to smaller t |

5855 7-(26,13,8316) (complement has $\lambda=18816$)

Alltop construction for design number 5849 |

PSL(2,23)++ Alltop construction (many isom. types) |

6352 5-(27,11,8316) (complement has $\lambda=66297$)

design of number 6351 with respect to smaller t |

6494 6-(27,11,8316) (complement has $\lambda=12033$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8461 with respect to smaller t |

10927 5-(24,12,8322) (complement has $\lambda=42066$)

Alltop construction for design number 10924 |

Tran van Trung construction with supplementary design for design number 10978 |

10176 5-(34,9,8400) (complement has $\lambda=15351$)

derived from number 10171 |

10171 6-(35,10,8400) (complement has $\lambda=15351$)

derived from number 10169 |

10169 7-(36,11,8400) (complement has $\lambda=15351$)

$Sp(6,2)_36$ (many isomorphism types) |

8474 5-(26,10,8442) (complement has $\lambda=11907$)

derived from number 8470 |

design of number 8471 with respect to smaller t |

8470 6-(27,11,8442) (complement has $\lambda=11907$)

design of number 8469 with respect to smaller t |

derived from number 11333 |

11333 7-(28,12,8442) (complement has $\lambda=11907$)

TvT: 7-(27,11,2010) $\cup$ 7-(27,12,6432) |

6503 5-(26,10,8505) (complement has $\lambda=11844$)

derived from number 6501 |

design of number 8488 with respect to smaller t |

6501 6-(27,11,8505) (complement has $\lambda=11844$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8487 with respect to smaller t |

derived from number 8832 |

8832 7-(28,12,8505) (complement has $\lambda=11844$)

TvT: 7-(27,11,2025) $\cup$ 7-(27,12,6480) |

10785 5-(24,12,8550) (complement has $\lambda=41838$)

Alltop construction for design number 10782 |

Tran van Trung construction with supplementary design for design number 10868 |

9621 5-(32,9,8550) (complement has $\lambda=9000$)

residual design of number 9616 |

2371 5-(23,11,8568) (complement has $\lambda=9996$)

TvT: 5-(22,10,2856) $\cup$ 5-(22,11,5712) |

design of number 11500 with respect to smaller t |

derived from number 11502 |

11502 6-(24,12,8568) (complement has $\lambda=9996$)

Tran van Trung construction with supplementary design for design number 11500 |

design of number 11503 with respect to smaller t |

8050 5-(26,11,8568) (complement has $\lambda=45696$)

residual design of number 8046 |

design of number 8048 with respect to smaller t |

10330 5-(39,9,8568) (complement has $\lambda=37808$)

derived from number 10326 |

design of number 10327 with respect to smaller t |

10326 6-(40,10,8568) (complement has $\lambda=37808$)

design of number 10325 with respect to smaller t |

2693 5-(24,12,8580) (complement has $\lambda=41808$)

Alltop construction for design number 2690 |

4830 5-(30,15,8624) (complement has $\lambda=3260136$)

Alltop construction for design number 4827 |

Alltop construction |

6511 5-(26,10,8631) (complement has $\lambda=11718$)

derived from number 6509 |

design of number 8497 with respect to smaller t |

6509 6-(27,11,8631) (complement has $\lambda=11718$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8496 with respect to smaller t |

10196 5-(34,9,8631) (complement has $\lambda=15120$)

derived from number 10191 |

10191 6-(35,10,8631) (complement has $\lambda=15120$)

derived from number 10189 |

10189 7-(36,11,8631) (complement has $\lambda=15120$)

$Sp(6,2)_36$ (many isomorphism types) |

8176 5-(25,11,8640) (complement has $\lambda=30120$)

residual design of number 8173 |

6677 5-(26,12,8640) (complement has $\lambda=107640$)

derived from number 6674 |

6674 6-(27,13,8640) (complement has $\lambda=107640$)

$ASL(3,3)$ |

derived from number 6680 |

6680 7-(28,14,8640) (complement has $\lambda=107640$)

Alltop construction for design number 6674 |

9535 5-(32,9,8640) (complement has $\lambda=8910$)

residual design of number 9530 |

design of number 9532 with respect to smaller t |

7692 5-(37,9,8640) (complement has $\lambda=27320$)

design of number 7691 with respect to smaller t |

5872 5-(24,11,8652) (complement has $\lambda=18480$)

derived from number 5869 |

5869 6-(25,12,8652) (complement has $\lambda=18480$)

PSL(2,23)+ (many isom. types) |

derived from number 5875 |

5875 7-(26,13,8652) (complement has $\lambda=18480$)

Alltop construction for design number 5869 |

PSL(2,23)++ Alltop construction (many isom. types) |

10990 5-(23,11,8694) (complement has $\lambda=9870$)

TvT: 5-(22,10,2898) $\cup$ 5-(22,11,5796) |

6843 5-(28,10,8694) (complement has $\lambda=24955$)

design of number 6842 with respect to smaller t |

2378 5-(23,11,8736) (complement has $\lambda=9828$)

TvT: 5-(22,10,2912) $\cup$ 5-(22,11,5824) |

10216 5-(34,9,8736) (complement has $\lambda=15015$)

derived from number 10211 |

10211 6-(35,10,8736) (complement has $\lambda=15015$)

derived from number 10209 |

10209 7-(36,11,8736) (complement has $\lambda=15015$)

$Sp(6,2)_36$ (many isomorphism types) |

5710 5-(23,11,8778) (complement has $\lambda=9786$)

derived from number 5708 |

5664 5-(24,11,8778) (complement has $\lambda=18354$)

design of number 5663 with respect to smaller t |

derived from number 5889 |

5708 6-(24,12,8778) (complement has $\lambda=9786$)

PGL(2,23) (>=2 isom. types) |

5889 6-(25,12,8778) (complement has $\lambda=18354$)

PSL(2,23)+ (many isom. types) |

derived from number 5893 |

5893 7-(26,13,8778) (complement has $\lambda=18354$)

Alltop construction for design number 5889 |

PSL(2,23)++ Alltop construction (many isom. types) |

5720 5-(23,11,8820) (complement has $\lambda=9744$)

derived from number 5718 |

5718 6-(24,12,8820) (complement has $\lambda=9744$)

PSL(2,23) (>=2 isom. types) |

7465 5-(30,10,8820) (complement has $\lambda=44310$)

design of number 7464 with respect to smaller t |

residual design of number 7581 |

9493 5-(33,9,8820) (complement has $\lambda=11655$)

design of number 9490 with respect to smaller t |

5594 5-(23,12,8856) (complement has $\lambda=22968$)

design of number 5588 with respect to smaller t |

supplementary design of number 5589 |

residual design of number 5592 |

5729 5-(23,11,8862) (complement has $\lambda=9702$)

derived from number 5727 |

5727 6-(24,12,8862) (complement has $\lambda=9702$)

PGL(2,23) (>=2 isom. types) |

8190 5-(25,11,8880) (complement has $\lambda=29880$)

residual design of number 8184 |

8511 5-(26,10,8883) (complement has $\lambda=11466$)

derived from number 8507 |

design of number 8508 with respect to smaller t |

8507 6-(27,11,8883) (complement has $\lambda=11466$)

design of number 8506 with respect to smaller t |

10789 5-(24,12,8892) (complement has $\lambda=41496$)

Alltop construction for design number 10786 |

6656 5-(26,11,8904) (complement has $\lambda=45360$)

derived from number 6654 |

design of number 8628 with respect to smaller t |

6654 6-(27,12,8904) (complement has $\lambda=45360$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8627 with respect to smaller t |

5640 5-(23,11,8946) (complement has $\lambda=9618$)

design of number 5638 with respect to smaller t |

derived from number 5643 |

5643 6-(24,12,8946) (complement has $\lambda=9618$)

Tran van Trung construction with supplementary design for design number 5638 |

design of number 5644 with respect to smaller t |

11504 5-(22,12,8976) (complement has $\lambda=10472$)

residual design of number 11501 |

6521 5-(26,10,9009) (complement has $\lambda=11340$)

derived from number 6519 |

design of number 8526 with respect to smaller t |

6519 6-(27,11,9009) (complement has $\lambda=11340$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8525 with respect to smaller t |

derived from number 11550 |

11550 7-(28,12,9009) (complement has $\lambda=11340$)

TvT: 7-(27,11,2145) $\cup$ 7-(27,12,6864) |

10353 5-(38,9,9060) (complement has $\lambda=31860$)

residual design of number 10347 |

derived from number 10348 |

10348 6-(39,10,9060) (complement has $\lambda=31860$)

residual design of number 10345 |

10505 5-(24,11,9072) (complement has $\lambda=18060$)

residual design of number 10502 |

derived from number 10503 |

10503 6-(25,12,9072) (complement has $\lambda=18060$)

residual design of number 10500 |

derived from number 10509 |

6529 5-(26,10,9072) (complement has $\lambda=11277$)

derived from number 6527 |

design of number 8530 with respect to smaller t |

6666 5-(26,11,9072) (complement has $\lambda=45192$)

derived from number 6664 |

residual design of number 8058 |

design of number 8060 with respect to smaller t |

10509 7-(26,13,9072) (complement has $\lambda=18060$)

Alltop construction for design number 10503 |

6875 5-(27,10,9072) (complement has $\lambda=17262$)

residual design of number 6872 |

6527 6-(27,11,9072) (complement has $\lambda=11277$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8529 with respect to smaller t |

6664 6-(27,12,9072) (complement has $\lambda=45192$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8639 with respect to smaller t |

residual design of number 11331 |

5905 5-(24,11,9114) (complement has $\lambda=18018$)

derived from number 5902 |

5902 6-(25,12,9114) (complement has $\lambda=18018$)

PSL(2,23)+ (many isom. types) |

derived from number 5908 |

5908 7-(26,13,9114) (complement has $\lambda=18018$)

Alltop construction for design number 5902 |

PSL(2,23)++ Alltop construction (many isom. types) |

11072 5-(25,12,9120) (complement has $\lambda=68400$)

TvT: 5-(24,11,3192) $\cup$ 5-(24,12,5928) |

9513 5-(33,9,9135) (complement has $\lambda=11340$)

design of number 9510 with respect to smaller t |

9611 5-(34,9,9135) (complement has $\lambda=14616$)

design of number 9610 with respect to smaller t |

derived from number 10231 |

10231 6-(35,10,9135) (complement has $\lambda=14616$)

derived from number 10229 |

design of number 10667 with respect to smaller t |

10229 7-(36,11,9135) (complement has $\lambda=14616$)

$Sp(6,2)_36$ (many isomorphism types) |

design of number 10666 with respect to smaller t |

9184 5-(28,10,9177) (complement has $\lambda=24472$)

residual design of number 9181 |

design of number 9183 with respect to smaller t |

6538 5-(26,10,9198) (complement has $\lambda=11151$)

derived from number 6536 |

design of number 8537 with respect to smaller t |

6536 6-(27,11,9198) (complement has $\lambda=11151$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8536 with respect to smaller t |

2698 5-(24,12,9204) (complement has $\lambda=41184$)

Alltop construction for design number 2696 |

5739 5-(23,11,9240) (complement has $\lambda=9324$)

derived from number 5737 |

5925 5-(24,11,9240) (complement has $\lambda=17892$)

derived from number 5922 |

5737 6-(24,12,9240) (complement has $\lambda=9324$)

PGL(2,23) (>=2 isom. types) |

5922 6-(25,12,9240) (complement has $\lambda=17892$)

PSL(2,23)+ (many isom. types) |

derived from number 5928 |

5928 7-(26,13,9240) (complement has $\lambda=17892$)

Alltop construction for design number 5922 |

PSL(2,23)++ Alltop construction (many isom. types) |

10252 5-(34,9,9240) (complement has $\lambda=14511$)

derived from number 10247 |

10247 6-(35,10,9240) (complement has $\lambda=14511$)

derived from number 10245 |

10245 7-(36,11,9240) (complement has $\lambda=14511$)

$Sp(6,2)_36$ (many isomorphism types) |

2385 5-(23,11,9282) (selfcomplementary)

derived 6-(24,12,9282) Halving of the complete design |

derived from number 2389 |

derived from complement of number 2389 |

2389 6-(24,12,9282) (selfcomplementary)

Alltop construction for design number 2385 |

PSL(2,23) (many isom. types) Halving of the complete design |

6885 5-(27,10,9324) (complement has $\lambda=17010$)

residual design of number 6882 |

8210 5-(25,11,9360) (complement has $\lambda=29400$)

residual design of number 8204 |

6638 5-(26,12,9360) (complement has $\lambda=106920$)

residual design of number 6635 |

7579 5-(31,10,9360) (complement has $\lambda=56420$)

design of number 7578 with respect to smaller t |

5646 5-(22,12,9372) (complement has $\lambda=10076$)

residual design of number 5639 |

8079 5-(26,11,9408) (complement has $\lambda=44856$)

residual design of number 8074 |

design of number 8076 with respect to smaller t |

8550 5-(26,10,9450) (complement has $\lambda=10899$)

derived from number 8546 |

design of number 8547 with respect to smaller t |

8546 6-(27,11,9450) (complement has $\lambda=10899$)

design of number 8545 with respect to smaller t |

10272 5-(34,9,9471) (complement has $\lambda=14280$)

derived from number 10267 |

10267 6-(35,10,9471) (complement has $\lambda=14280$)

derived from number 10265 |

10265 7-(36,11,9471) (complement has $\lambda=14280$)

$Sp(6,2)_36$ (many isomorphism types) |

8599 5-(25,12,9480) (complement has $\lambda=68040$)

residual design of number 8593 |

7926 5-(24,11,9492) (complement has $\lambda=17640$)

residual design of number 7921 |

2699 5-(24,11,9576) (complement has $\lambda=17556$)

TvT: 5-(23,10,3024) $\cup$ 5-(23,11,6552) |

6547 5-(26,10,9576) (complement has $\lambda=10773$)

derived from number 6546 |

design of number 7904 with respect to smaller t |

6546 6-(27,11,9576) (complement has $\lambda=10773$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8563 with respect to smaller t |

10292 5-(34,9,9576) (complement has $\lambda=14175$)

derived from number 10287 |

10287 6-(35,10,9576) (complement has $\lambda=14175$)

derived from number 10285 |

10285 7-(36,11,9576) (complement has $\lambda=14175$)

$Sp(6,2)_36$ (many isomorphism types) |

8228 5-(25,11,9600) (complement has $\lambda=29160$)

residual design of number 8223 |

derived from number 8658 |

8658 6-(26,12,9600) (complement has $\lambda=29160$)

residual design of number 8657 |

266 5-(26,10,9639) (complement has $\lambda=10710$)

residual design of number 263 |

design of number 275 with respect to smaller t |

derived from number 6549 |

6549 6-(27,11,9639) (complement has $\lambda=10710$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8565 with respect to smaller t |

residual design of number 8824 |

2746 5-(24,12,9690) (complement has $\lambda=40698$)

Alltop construction for design number 2748 |

Tran van Trung construction with supplementary design for design number 11484 |

design of number 11496 with respect to smaller t |

5945 5-(24,11,9702) (complement has $\lambda=17430$)

derived from number 5942 |

5942 6-(25,12,9702) (complement has $\lambda=17430$)

PSL(2,23)+ (many isom. types) |

derived from number 5948 |

5948 7-(26,13,9702) (complement has $\lambda=17430$)

Alltop construction for design number 5942 |

PSL(2,23)++ Alltop construction (many isom. types) |

254 5-(27,10,9702) (complement has $\lambda=16632$)

design of number 253 with respect to smaller t |

TvT: 5-(26,9,2205) $\cup$ 5-(26,10,7497) |

residual design of number 6892 |

derived from number 7003 |

6362 5-(27,11,9702) (complement has $\lambda=64911$)

design of number 6361 with respect to smaller t |

7003 6-(28,11,9702) (complement has $\lambda=16632$)

TvT: 6-(27,10,2205) $\cup$ 6-(27,11,7497) |

10881 5-(23,12,9720) (complement has $\lambda=22104$)

supplementary design of number 10880 |

8241 5-(25,11,9720) (complement has $\lambda=29040$)

residual design of number 8238 |

derived from number 8664 |

8620 5-(25,12,9720) (complement has $\lambda=67800$)

residual design of number 8617 |

8664 6-(26,12,9720) (complement has $\lambda=29040$)

residual design of number 8663 |

10373 5-(38,9,9720) (complement has $\lambda=31200$)

residual design of number 10367 |

derived from number 10368 |

10368 6-(39,10,9720) (complement has $\lambda=31200$)

residual design of number 10365 |

6557 5-(26,10,9765) (complement has $\lambda=10584$)

derived from number 6555 |

design of number 8570 with respect to smaller t |

6555 6-(27,11,9765) (complement has $\lambda=10584$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8569 with respect to smaller t |

2350 5-(23,12,9792) (complement has $\lambda=22032$)

supplementary design of number 2349 |

9195 5-(28,10,9798) (complement has $\lambda=23851$)

derived from number 9191 |

design of number 9192 with respect to smaller t |

9191 6-(29,11,9798) (complement has $\lambda=23851$)

design of number 9190 with respect to smaller t |

9618 5-(33,9,9975) (complement has $\lambda=10500$)

residual design of number 9614 |

design of number 9616 with respect to smaller t |

10312 5-(34,9,9975) (complement has $\lambda=13776$)

derived from number 10307 |

10307 6-(35,10,9975) (complement has $\lambda=13776$)

derived from number 10305 |

10305 7-(36,11,9975) (complement has $\lambda=13776$)

$Sp(6,2)_36$ (many isomorphism types) |

6853 5-(28,10,9982) (complement has $\lambda=23667$)

design of number 6852 with respect to smaller t |

6319 5-(26,10,10017) (complement has $\lambda=10332$)

derived from number 6317 |

design of number 8579 with respect to smaller t |

6317 6-(27,11,10017) (complement has $\lambda=10332$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8578 with respect to smaller t |

8098 5-(26,11,10080) (complement has $\lambda=44184$)

residual design of number 8093 |

design of number 8095 with respect to smaller t |

derived from number 8835 |

6896 5-(27,10,10080) (complement has $\lambda=16254$)

residual design of number 6893 |

8835 6-(27,12,10080) (complement has $\lambda=44184$)

derived from number 8833 |

4173 5-(28,10,10080) (complement has $\lambda=23569$)

\cite{Sebille98} $Sp(6,2)$ <= 5359 isomorphism types |

8833 7-(28,13,10080) (complement has $\lambda=44184$)

$Sp(6,2)$ 1 isomorphism type |

9289 5-(29,10,10080) (complement has $\lambda=32424$)

residual design of number 9283 |

9533 5-(33,9,10080) (complement has $\lambda=10395$)

design of number 9530 with respect to smaller t |

9636 5-(34,9,10080) (complement has $\lambda=13671$)

derived from number 9631 |

9631 6-(35,10,10080) (complement has $\lambda=13671$)

derived from number 9629 |

9629 7-(36,11,10080) (complement has $\lambda=13671$)

$Sp(6,2)_36$ (many isomorphism types) |

4075 5-(28,14,10120) (complement has $\lambda=807070$)

Tran van Trung construction with supplementary design for design number 4072 |

Alltop construction for design number 4074 |

8781 5-(25,11,10140) (complement has $\lambda=28620$)

derived from number 8778 |

8778 6-(26,12,10140) (complement has $\lambda=28620$)

derived from number 8776 |

8776 7-(27,13,10140) (complement has $\lambda=28620$)

\cite{Sebille98} $AGL(3,3)$ |

6328 5-(26,10,10143) (complement has $\lambda=10206$)

derived from number 6326 |

design of number 8586 with respect to smaller t |

6326 6-(27,11,10143) (complement has $\lambda=10206$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8585 with respect to smaller t |

derived from number 8828 |

6863 5-(28,10,10143) (complement has $\lambda=23506$)

design of number 6862 with respect to smaller t |

8828 7-(28,12,10143) (complement has $\lambda=10206$)

TvT: 7-(27,11,2415) $\cup$ 7-(27,12,7728) |

5965 5-(24,11,10164) (complement has $\lambda=16968$)

derived from number 5962 |

5962 6-(25,12,10164) (complement has $\lambda=16968$)

PSL(2,23)+ (many isom. types) |

derived from number 5968 |

5968 7-(26,13,10164) (complement has $\lambda=16968$)

Alltop construction for design number 5962 |

PSL(2,23)++ Alltop construction (many isom. types) |

10793 5-(24,12,10260) (complement has $\lambda=40128$)

Alltop construction for design number 10790 |

Tran van Trung construction with supplementary design for design number 10871 |

11093 5-(26,12,10260) (complement has $\lambda=106020$)

TvT: 5-(25,11,3420) $\cup$ 5-(25,12,6840) |

10350 5-(39,9,10268) (complement has $\lambda=36108$)

derived from number 10346 |

design of number 10347 with respect to smaller t |

10346 6-(40,10,10268) (complement has $\lambda=36108$)

design of number 10345 with respect to smaller t |

5672 5-(23,12,10296) (complement has $\lambda=21528$)

supplementary design of number 5666 |

9656 5-(34,9,10311) (complement has $\lambda=13440$)

derived from number 9651 |

9651 6-(35,10,10311) (complement has $\lambda=13440$)

derived from number 9649 |

9649 7-(36,11,10311) (complement has $\lambda=13440$)

$Sp(6,2)_36$ (many isomorphism types) |

8029 5-(27,11,10395) (complement has $\lambda=64218$)

design of number 8026 with respect to smaller t |

7684 5-(35,9,10395) (complement has $\lambda=17010$)

residual design of number 7681 |

8118 5-(26,11,10416) (complement has $\lambda=43848$)

residual design of number 8113 |

design of number 8115 with respect to smaller t |

9676 5-(34,9,10416) (complement has $\lambda=13335$)

derived from number 9671 |

9671 6-(35,10,10416) (complement has $\lambda=13335$)

derived from number 9669 |

9669 7-(36,11,10416) (complement has $\lambda=13335$)

$Sp(6,2)_36$ (many isomorphism types) |

8251 5-(25,11,10440) (complement has $\lambda=28320$)

residual design of number 8248 |

10692 5-(37,9,10440) (complement has $\lambda=25520$)

residual design of number 10682 |

derived from number 10683 |

10683 6-(38,10,10440) (complement has $\lambda=25520$)

residual design of number 10677 |

derived from number 10678 |

10678 7-(39,11,10440) (complement has $\lambda=25520$)

residual design of number 10675 |

6906 5-(27,10,10458) (complement has $\lambda=15876$)

residual design of number 6903 |

5985 5-(24,11,10500) (complement has $\lambda=16632$)

derived from number 5982 |

5982 6-(25,12,10500) (complement has $\lambda=16632$)

PSL(2,23)+ (many isom. types) |

derived from number 5988 |

5988 7-(26,13,10500) (complement has $\lambda=16632$)

Alltop construction for design number 5982 |

PSL(2,23)++ Alltop construction (many isom. types) |

8137 5-(26,11,10584) (complement has $\lambda=43680$)

residual design of number 8132 |

design of number 8134 with respect to smaller t |

6916 5-(27,10,10584) (complement has $\lambda=15750$)

residual design of number 6913 |

10931 5-(24,12,10602) (complement has $\lambda=39786$)

Alltop construction for design number 10928 |

Tran van Trung construction with supplementary design for design number 10981 |

6005 5-(24,11,10626) (complement has $\lambda=16506$)

derived from number 6002 |

6002 6-(25,12,10626) (complement has $\lambda=16506$)

PSL(2,23)+ (many isom. types) |

derived from number 6008 |

6008 7-(26,13,10626) (complement has $\lambda=16506$)

Alltop construction for design number 6002 |

PSL(2,23)++ Alltop construction (many isom. types) |

8265 5-(25,11,10680) (complement has $\lambda=28080$)

residual design of number 8259 |

derived from number 10527 |

design of number 10529 with respect to smaller t |

10527 6-(26,12,10680) (complement has $\lambda=28080$)

derived from number 10520 |

design of number 10521 with respect to smaller t |

10520 7-(27,13,10680) (complement has $\lambda=28080$)

design of number 10518 with respect to smaller t |

derived from number 10523 |

10523 8-(28,14,10680) (complement has $\lambda=28080$)

Tran van Trung construction with supplementary design for design number 10518 |

design of number 10524 with respect to smaller t |

red 9-(28,14,3204) |

3834 5-(25,13,10725) (complement has $\lambda=115245$)

supplementary design of number 3833 |

7942 5-(24,11,10752) (complement has $\lambda=16380$)

residual design of number 7937 |

derived from number 10593 |

10593 6-(25,12,10752) (complement has $\lambda=16380$)

residual design of number 10585 |

derived from number 10586 |

10586 7-(26,13,10752) (complement has $\lambda=16380$)

residual design of number 10582 |

derived from number 10583 |

Alltop construction for design number 10593 |

10583 8-(27,14,10752) (complement has $\lambda=16380$)

supplementary design of number 10582 |

residual design of number 10588 |

7472 5-(29,10,10752) (complement has $\lambda=31752$)

residual design of number 7470 |

8280 5-(25,11,10800) (complement has $\lambda=27960$)

residual design of number 8277 |

derived from number 10559 |

design of number 10561 with respect to smaller t |

10559 6-(26,12,10800) (complement has $\lambda=27960$)

derived from number 10552 |

design of number 10553 with respect to smaller t |

10552 7-(27,13,10800) (complement has $\lambda=27960$)

design of number 10550 with respect to smaller t |

derived from number 10555 |

10555 8-(28,14,10800) (complement has $\lambda=27960$)

Tran van Trung construction with supplementary design for design number 10550 |

design of number 10556 with respect to smaller t |

red 9-(28,14,3240) |

9696 5-(34,9,10815) (complement has $\lambda=12936$)

derived from number 9691 |

9691 6-(35,10,10815) (complement has $\lambda=12936$)

derived from number 9689 |

9689 7-(36,11,10815) (complement has $\lambda=12936$)

$Sp(6,2)_36$ (many isomorphism types) |

7582 5-(31,10,10920) (complement has $\lambda=54860$)

design of number 7581 with respect to smaller t |

9716 5-(34,9,10920) (complement has $\lambda=12831$)

derived from number 9711 |

9711 6-(35,10,10920) (complement has $\lambda=12831$)

derived from number 9709 |

9709 7-(36,11,10920) (complement has $\lambda=12831$)

$Sp(6,2)_36$ (many isomorphism types) |

6025 5-(24,11,10962) (complement has $\lambda=16170$)

derived from number 6022 |

6022 6-(25,12,10962) (complement has $\lambda=16170$)

PSL(2,23)+ (many isom. types) |

derived from number 6028 |

6028 7-(26,13,10962) (complement has $\lambda=16170$)

Alltop construction for design number 6022 |

PSL(2,23)++ Alltop construction (many isom. types) |

5613 5-(23,12,11016) (complement has $\lambda=20808$)

design of number 5608 with respect to smaller t |

supplementary design of number 5609 |

residual design of number 5611 |

10370 5-(39,9,11016) (complement has $\lambda=35360$)

derived from number 10366 |

design of number 10367 with respect to smaller t |

10366 6-(40,10,11016) (complement has $\lambda=35360$)

design of number 10365 with respect to smaller t |

8293 5-(25,11,11040) (complement has $\lambda=27720$)

residual design of number 8287 |

6045 5-(24,11,11088) (complement has $\lambda=16044$)

derived from number 6042 |

6042 6-(25,12,11088) (complement has $\lambda=16044$)

PSL(2,23)+ (many isom. types) |

derived from number 6048 |

6048 7-(26,13,11088) (complement has $\lambda=16044$)

Alltop construction for design number 6042 |

PSL(2,23)++ Alltop construction (many isom. types) |

11091 5-(25,13,11115) (complement has $\lambda=114855$)

supplementary design of number 11090 |

9736 5-(34,9,11151) (complement has $\lambda=12600$)

derived from number 9731 |

9731 6-(35,10,11151) (complement has $\lambda=12600$)

derived from number 9729 |

9729 7-(36,11,11151) (complement has $\lambda=12600$)

$Sp(6,2)_36$ (many isomorphism types) |

5681 5-(23,12,11160) (complement has $\lambda=20664$)

residual design of number 5678 |

supplementary design of number 5680 |

6565 5-(26,11,11172) (complement has $\lambda=43092$)

derived from number 6563 |

design of number 8646 with respect to smaller t |

6563 6-(27,12,11172) (complement has $\lambda=43092$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8645 with respect to smaller t |

6926 5-(27,10,11214) (complement has $\lambda=15120$)

residual design of number 6923 |

2357 5-(23,12,11232) (complement has $\lambda=20592$)

supplementary design of number 2356 |

10797 5-(24,12,11286) (complement has $\lambda=39102$)

Alltop construction for design number 10794 |

Tran van Trung construction with supplementary design for design number 10874 |

8673 5-(25,11,11340) (complement has $\lambda=27420$)

residual design of number 8670 |

derived from number 8671 |

6575 5-(26,11,11340) (complement has $\lambda=42924$)

derived from number 6573 |

8671 6-(26,12,11340) (complement has $\lambda=27420$)

residual design of number 8669 |

6936 5-(27,10,11340) (complement has $\lambda=14994$)

residual design of number 6933 |

6573 6-(27,12,11340) (complement has $\lambda=42924$)

$ASL(3,3)$ |

6061 5-(24,11,11424) (complement has $\lambda=15708$)

derived from number 6058 |

6058 6-(25,12,11424) (complement has $\lambda=15708$)

PSL(2,23)+ (many isom. types) |

derived from number 6064 |

6064 7-(26,13,11424) (complement has $\lambda=15708$)

Alltop construction for design number 6058 |

PSL(2,23)++ Alltop construction (many isom. types) |

5625 5-(23,12,11448) (complement has $\lambda=20376$)

design of number 5619 with respect to smaller t |

supplementary design of number 5620 |

residual design of number 5623 |

8302 5-(25,11,11520) (complement has $\lambda=27240$)

residual design of number 8300 |

848 5-(25,12,11520) (complement has $\lambda=66000$)

TvT: 5-(24,11,4032) $\cup$ 5-(24,12,7488) |

6081 5-(24,11,11550) (complement has $\lambda=15582$)

derived from number 6078 |

6078 6-(25,12,11550) (complement has $\lambda=15582$)

PSL(2,23)+ (many isom. types) |

derived from number 6084 |

6084 7-(26,13,11550) (complement has $\lambda=15582$)

Alltop construction for design number 6078 |

PSL(2,23)++ Alltop construction (many isom. types) |

9617 5-(34,9,11571) (complement has $\lambda=12180$)

design of number 9614 with respect to smaller t |

8157 5-(26,11,11592) (complement has $\lambda=42672$)

residual design of number 8152 |

design of number 8154 with respect to smaller t |

6946 5-(27,10,11592) (complement has $\lambda=14742$)

residual design of number 6943 |

6873 5-(28,10,11592) (complement has $\lambda=22057$)

design of number 6872 with respect to smaller t |

4193 5-(29,10,11592) (complement has $\lambda=30912$)

residual design of number 4192 |

design of number 9181 with respect to smaller t |

2345 5-(24,12,11628) (complement has $\lambda=38760$)

Tran van Trung construction with supplementary design for design number 2342 |

Alltop construction for design number 2344 |

\cite{Bluskov} |

9756 5-(34,9,11655) (complement has $\lambda=12096$)

derived from number 9751 |

7673 5-(35,9,11655) (complement has $\lambda=15750$)

derived from number 7671 |

9751 6-(35,10,11655) (complement has $\lambda=12096$)

derived from number 9749 |

7671 6-(36,10,11655) (complement has $\lambda=15750$)

$Sp(6,2)_36$ (many isom. types) |

9749 7-(36,11,11655) (complement has $\lambda=12096$)

$Sp(6,2)_36$ (many isomorphism types) |

6956 5-(27,10,11718) (complement has $\lambda=14616$)

residual design of number 6953 |

7910 5-(25,11,11760) (complement has $\lambda=27000$)

residual design of number 7906 |

design of number 7908 with respect to smaller t |

4177 5-(28,10,11760) (complement has $\lambda=21889$)

\cite{Sebille98} $Sp(6,2)$ <= 7037 isomorphism types |

9776 5-(34,9,11760) (complement has $\lambda=11991$)

derived from number 9771 |

9771 6-(35,10,11760) (complement has $\lambda=11991$)

derived from number 9769 |

9769 7-(36,11,11760) (complement has $\lambda=11991$)

$Sp(6,2)_36$ (many isomorphism types) |

10393 5-(38,9,11760) (complement has $\lambda=29160$)

residual design of number 10387 |

derived from number 10388 |

10388 6-(39,10,11760) (complement has $\lambda=29160$)

residual design of number 10385 |

8049 5-(27,11,11781) (complement has $\lambda=62832$)

design of number 8046 with respect to smaller t |

residual design of number 11288 |

10622 5-(24,11,11844) (complement has $\lambda=15288$)

residual design of number 10614 |

derived from number 10615 |

10615 6-(25,12,11844) (complement has $\lambda=15288$)

residual design of number 10606 |

derived from number 10607 |

10607 7-(26,13,11844) (complement has $\lambda=15288$)

residual design of number 10603 |

derived from number 10604 |

Alltop construction for design number 10615 |

10604 8-(27,14,11844) (complement has $\lambda=15288$)

supplementary design of number 10603 |

residual design of number 10609 |

8314 5-(25,11,11880) (complement has $\lambda=26880$)

residual design of number 8311 |

10688 5-(38,9,11880) (complement has $\lambda=29040$)

derived from number 10680 |

design of number 10682 with respect to smaller t |

10680 6-(39,10,11880) (complement has $\lambda=29040$)

derived from number 10676 |

design of number 10677 with respect to smaller t |

10676 7-(40,11,11880) (complement has $\lambda=29040$)

design of number 10675 with respect to smaller t |

6101 5-(24,11,11886) (complement has $\lambda=15246$)

derived from number 6098 |

6098 6-(25,12,11886) (complement has $\lambda=15246$)

PSL(2,23)+ (many isom. types) |

derived from number 6104 |

6104 7-(26,13,11886) (complement has $\lambda=15246$)

Alltop construction for design number 6098 |

PSL(2,23)++ Alltop construction (many isom. types) |

6883 5-(28,10,11914) (complement has $\lambda=21735$)

design of number 6882 with respect to smaller t |

7682 5-(36,9,11935) (complement has $\lambda=19530$)

design of number 7681 with respect to smaller t |

10891 5-(24,11,11970) (complement has $\lambda=15162$)

TvT: 5-(23,10,3780) $\cup$ 5-(23,11,8190) |

6121 5-(24,11,12012) (complement has $\lambda=15120$)

derived from number 6118 |

residual design of number 7954 |

6118 6-(25,12,12012) (complement has $\lambda=15120$)

PSL(2,23)+ (many isom. types) |

derived from number 6124 |

residual design of number 10637 |

6124 7-(26,13,12012) (complement has $\lambda=15120$)

Alltop construction for design number 6118 |

PSL(2,23)++ Alltop construction (many isom. types) |

residual design of number 10635 |

derived from number 10636 |

10636 8-(27,14,12012) (complement has $\lambda=15120$)

supplementary design of number 10635 |

residual design of number 10639 |

10492 5-(24,11,12096) (complement has $\lambda=15036$)

residual design of number 10490 |

6374 5-(26,11,12096) (complement has $\lambda=42168$)

residual design of number 6371 |

design of number 8173 with respect to smaller t |

8326 5-(25,11,12120) (complement has $\lambda=26640$)

residual design of number 8320 |

2365 5-(23,12,12240) (complement has $\lambda=19584$)

supplementary design of number 2364 |

10801 5-(24,12,12312) (complement has $\lambda=38076$)

Alltop construction for design number 10798 |

Tran van Trung construction with supplementary design for design number 10877 |

6141 5-(24,11,12348) (complement has $\lambda=14784$)

derived from number 6138 |

6138 6-(25,12,12348) (complement has $\lambda=14784$)

PSL(2,23)+ (many isom. types) |

derived from number 6144 |

6144 7-(26,13,12348) (complement has $\lambda=14784$)

Alltop construction for design number 6138 |

PSL(2,23)++ Alltop construction (many isom. types) |

6966 5-(27,10,12348) (complement has $\lambda=13986$)

residual design of number 6963 |

10662 5-(28,10,12369) (complement has $\lambda=21280$)

residual design of number 10659 |

4144 5-(28,10,12397) (complement has $\lambda=21252$)

TvT: 5-(27,9,2695) $\cup$ 5-(27,10,9702) |

design of number 6892 with respect to smaller t |

derived from number 7075 |

7075 6-(29,11,12397) (complement has $\lambda=21252$)

TvT: 6-(28,10,2695) $\cup$ 6-(28,11,9702) |

10413 5-(38,9,12420) (complement has $\lambda=28500$)

residual design of number 10407 |

derived from number 10408 |

10408 6-(39,10,12420) (complement has $\lambda=28500$)

residual design of number 10405 |

8187 5-(26,11,12432) (complement has $\lambda=41832$)

residual design of number 8182 |

design of number 8184 with respect to smaller t |

6161 5-(24,11,12474) (complement has $\lambda=14658$)

derived from number 6158 |

6158 6-(25,12,12474) (complement has $\lambda=14658$)

PSL(2,23)+ (many isom. types) |

derived from number 6164 |

6164 7-(26,13,12474) (complement has $\lambda=14658$)

Alltop construction for design number 6158 |

PSL(2,23)++ Alltop construction (many isom. types) |

264 5-(27,10,12474) (complement has $\lambda=13860$)

design of number 263 with respect to smaller t |

residual design of number 8818 |

derived from number 8825 |

8061 5-(27,11,12474) (complement has $\lambda=62139$)

design of number 8058 with respect to smaller t |

derived from number 11289 |

8825 6-(28,11,12474) (complement has $\lambda=13860$)

design of number 8824 with respect to smaller t |

residual design of number 9210 |

11289 6-(28,12,12474) (complement has $\lambda=62139$)

TvT: 6-(27,11,3402) $\cup$ 6-(27,12,9072) |

design of number 11331 with respect to smaller t |

8342 5-(25,11,12600) (complement has $\lambda=26160$)

residual design of number 8339 |

4181 5-(28,10,12600) (complement has $\lambda=21049$)

\cite{Sebille98} $Sp(6,2)$ <= 15643 isomorphism types |

9286 5-(30,10,12600) (complement has $\lambda=40530$)

residual design of number 9281 |

design of number 9283 with respect to smaller t |

5691 5-(23,12,12672) (complement has $\lambda=19152$)

residual design of number 5688 |

supplementary design of number 5690 |

8632 5-(25,12,12720) (complement has $\lambda=64800$)

residual design of number 8629 |

6976 5-(27,10,12726) (complement has $\lambda=13608$)

residual design of number 6973 |

2664 5-(24,11,12768) (complement has $\lambda=14364$)

TvT: 5-(23,10,4032) $\cup$ 5-(23,11,8736) |

6181 5-(24,11,12810) (complement has $\lambda=14322$)

derived from number 6178 |

6178 6-(25,12,12810) (complement has $\lambda=14322$)

PSL(2,23)+ (many isom. types) |

derived from number 6184 |

6184 7-(26,13,12810) (complement has $\lambda=14322$)

Alltop construction for design number 6178 |

PSL(2,23)++ Alltop construction (many isom. types) |

8351 5-(25,11,12840) (complement has $\lambda=25920$)

residual design of number 8348 |

derived from number 8682 |

8682 6-(26,12,12840) (complement has $\lambda=25920$)

residual design of number 8681 |

6986 5-(27,10,12852) (complement has $\lambda=13482$)

residual design of number 6983 |

6894 5-(28,10,12880) (complement has $\lambda=20769$)

design of number 6893 with respect to smaller t |

6201 5-(24,11,12936) (complement has $\lambda=14196$)

derived from number 6198 |

6198 6-(25,12,12936) (complement has $\lambda=14196$)

PSL(2,23)+ (many isom. types) |

derived from number 6204 |

6204 7-(26,13,12936) (complement has $\lambda=14196$)

Alltop construction for design number 6198 |

PSL(2,23)++ Alltop construction (many isom. types) |

8077 5-(27,11,12936) (complement has $\lambda=61677$)

design of number 8074 with respect to smaller t |

10884 5-(23,12,12960) (complement has $\lambda=18864$)

supplementary design of number 10883 |

8359 5-(25,11,12960) (complement has $\lambda=25800$)

residual design of number 8357 |

derived from number 8688 |

design of number 10502 with respect to smaller t |

8641 5-(25,12,12960) (complement has $\lambda=64560$)

residual design of number 8640 |

8688 6-(26,12,12960) (complement has $\lambda=25800$)

residual design of number 8687 |

design of number 10500 with respect to smaller t |

derived from number 11594 |

11594 7-(27,13,12960) (complement has $\lambda=25800$)

TvT: 7-(26,12,3888) $\cup$ 7-(26,13,9072) |

4185 5-(28,10,13069) (complement has $\lambda=20580$)

\cite{Sebille98} $Sp(6,2)$ <= 17036 isomorphism types |

8207 5-(26,11,13104) (complement has $\lambda=41160$)

residual design of number 8202 |

design of number 8204 with respect to smaller t |

10985 5-(23,12,13176) (complement has $\lambda=18648$)

supplementary design of number 10984 |

8371 5-(25,11,13200) (complement has $\lambda=25560$)

residual design of number 8365 |

3804 5-(25,12,13200) (complement has $\lambda=64320$)

TvT: 5-(24,11,4620) $\cup$ 5-(24,12,8580) |

6215 5-(24,11,13272) (complement has $\lambda=13860$)

derived from number 6212 |

residual design of number 7960 |

6212 6-(25,12,13272) (complement has $\lambda=13860$)

PSL(2,23)+ (many isom. types) |

derived from number 6218 |

6218 7-(26,13,13272) (complement has $\lambda=13860$)

Alltop construction for design number 6212 |

PSL(2,23)++ Alltop construction (many isom. types) |

10651 5-(28,10,13300) (complement has $\lambda=20349$)

residual design of number 10649 |

10390 5-(39,9,13328) (complement has $\lambda=33048$)

derived from number 10386 |

design of number 10387 with respect to smaller t |

10386 6-(40,10,13328) (complement has $\lambda=33048$)

design of number 10385 with respect to smaller t |

6904 5-(28,10,13363) (complement has $\lambda=20286$)

design of number 6903 with respect to smaller t |

6234 5-(24,11,13398) (complement has $\lambda=13734$)

derived from number 6231 |

6231 6-(25,12,13398) (complement has $\lambda=13734$)

PSL(2,23)+ (many isom. types) |

derived from number 6237 |

6237 7-(26,13,13398) (complement has $\lambda=13734$)

Alltop construction for design number 6231 |

PSL(2,23)++ Alltop construction (many isom. types) |

6588 5-(26,11,13440) (complement has $\lambda=40824$)

derived from number 6586 |

residual design of number 8221 |

design of number 8223 with respect to smaller t |

6586 6-(27,12,13440) (complement has $\lambda=40824$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8657 with respect to smaller t |

residual design of number 11332 |

7471 5-(30,10,13440) (complement has $\lambda=39690$)

design of number 7470 with respect to smaller t |

residual design of number 7584 |

7971 5-(24,11,13482) (complement has $\lambda=13650$)

residual design of number 7966 |

7985 5-(24,11,13524) (complement has $\lambda=13608$)

residual design of number 7980 |

derived from number 7981 |

7981 6-(25,12,13524) (complement has $\lambda=13608$)

residual design of number 7978 |

derived from number 7989 |

7989 7-(26,13,13524) (complement has $\lambda=13608$)

Alltop construction for design number 7981 |

Alltop |

6914 5-(28,10,13524) (complement has $\lambda=20125$)

design of number 6913 with respect to smaller t |

5701 5-(23,12,13536) (complement has $\lambda=18288$)

residual design of number 5698 |

supplementary design of number 5700 |

7924 5-(25,11,13560) (complement has $\lambda=25200$)

residual design of number 7919 |

design of number 7921 with respect to smaller t |

2667 5-(24,11,13566) (selfcomplementary)

TvT: 5-(23,11,9282) $\cup$ 5-(23,10,4284) Halving of the complete design |

6384 5-(26,11,13608) (complement has $\lambda=40656$)

residual design of number 6381 |

derived from number 6596 |

design of number 8238 with respect to smaller t |

6596 6-(27,12,13608) (complement has $\lambda=40656$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8663 with respect to smaller t |

residual design of number 8829 |

3791 5-(25,11,13680) (complement has $\lambda=25080$)

TvT: 5-(24,10,4104) $\cup$ 5-(24,11,9576) |

residual design of number 8377 |

11078 5-(26,12,13680) (complement has $\lambda=102600$)

TvT: 5-(25,11,4560) $\cup$ 5-(25,12,9120) |

6636 5-(27,12,13728) (complement has $\lambda=156816$)

design of number 6635 with respect to smaller t |

7704 5-(36,9,13825) (complement has $\lambda=17640$)

residual design of number 7701 |

8096 5-(27,11,13860) (complement has $\lambda=60753$)

design of number 8093 with respect to smaller t |

derived from number 11290 |

11290 6-(28,12,13860) (complement has $\lambda=60753$)

TvT: 6-(27,11,3780) $\cup$ 6-(27,12,10080) |

10538 5-(24,12,13884) (complement has $\lambda=36504$)

residual design of number 10530 |

derived from number 10531 |

Alltop construction for design number 10545 |

10531 6-(25,13,13884) (complement has $\lambda=36504$)

residual design of number 10522 |

derived from number 10526 |

supplementary design of number 10530 |

10526 7-(26,14,13884) (complement has $\lambda=36504$)

residual design of number 10519 |

8383 5-(25,11,13920) (complement has $\lambda=24840$)

residual design of number 8380 |

4902 5-(31,15,14014) (complement has $\lambda=5297721$)

TvT: 5-(30,14,5390) $\cup$ 5-(30,15,8624) |

5599 5-(24,12,14022) (complement has $\lambda=36366$)

Tran van Trung construction with supplementary design for design number 5589 |

design of number 5592 with respect to smaller t |

Alltop construction for design number 5596 |

10887 5-(23,12,14040) (complement has $\lambda=17784$)

supplementary design of number 10886 |

10570 5-(24,12,14040) (complement has $\lambda=36348$)

residual design of number 10562 |

derived from number 10563 |

Alltop construction for design number 10577 |

8397 5-(25,11,14040) (complement has $\lambda=24720$)

residual design of number 8391 |

10563 6-(25,13,14040) (complement has $\lambda=36348$)

residual design of number 10554 |

derived from number 10558 |

supplementary design of number 10562 |

10558 7-(26,14,14040) (complement has $\lambda=36348$)

residual design of number 10551 |

10410 5-(39,9,14076) (complement has $\lambda=32300$)

derived from number 10406 |

design of number 10407 with respect to smaller t |

10406 6-(40,10,14076) (complement has $\lambda=32300$)

design of number 10405 with respect to smaller t |

859 5-(25,12,14160) (complement has $\lambda=63360$)

TvT: 5-(24,11,4956) $\cup$ 5-(24,12,9204) |

8596 5-(26,12,14220) (complement has $\lambda=102060$)

residual design of number 8591 |

design of number 8593 with respect to smaller t |

10988 5-(23,12,14256) (complement has $\lambda=17568$)

supplementary design of number 10987 |

8411 5-(25,11,14280) (complement has $\lambda=24480$)

residual design of number 8409 |

7478 5-(29,10,14280) (complement has $\lambda=28224$)

residual design of number 7476 |

8116 5-(27,11,14322) (complement has $\lambda=60291$)

design of number 8113 with respect to smaller t |

6924 5-(28,10,14329) (complement has $\lambda=19320$)

design of number 6923 with respect to smaller t |

5793 5-(24,12,14352) (complement has $\lambda=36036$)

residual design of number 5789 |

derived from number 5790 |

Alltop construction for design number 5803 |

5790 6-(25,13,14352) (complement has $\lambda=36036$)

supplementary design of number 5789 |

residual design of number 5795 |

6934 5-(28,10,14490) (complement has $\lambda=19159$)

design of number 6933 with respect to smaller t |

38 5-(30,10,14490) (complement has $\lambda=38640$)

residual design of number 37 |

design of number 4192 with respect to smaller t |

TvT: 5-(29,9,2898) $\cup$ 5-(29,10,11592) |

8135 5-(27,11,14553) (complement has $\lambda=60060$)

design of number 8132 with respect to smaller t |

8701 5-(25,11,14580) (complement has $\lambda=24180$)

residual design of number 8695 |

derived from number 8696 |

6647 5-(26,12,14580) (complement has $\lambda=101700$)

residual design of number 6644 |

design of number 8617 with respect to smaller t |

8696 6-(26,12,14580) (complement has $\lambda=24180$)

residual design of number 8693 |

5813 5-(24,12,14586) (complement has $\lambda=35802$)

residual design of number 5809 |

derived from number 5810 |

Alltop construction for design number 5823 |

5810 6-(25,13,14586) (complement has $\lambda=35802$)

supplementary design of number 5809 |

residual design of number 5815 |

6393 5-(26,11,14616) (complement has $\lambda=39648$)

residual design of number 6390 |

design of number 8248 with respect to smaller t |

2372 5-(23,12,14688) (complement has $\lambda=17136$)

supplementary design of number 2371 |

design of number 11501 with respect to smaller t |

residual design of number 11502 |

8419 5-(25,11,14760) (complement has $\lambda=24000$)

residual design of number 8416 |

6944 5-(28,10,14812) (complement has $\lambda=18837$)

design of number 6943 with respect to smaller t |

8794 5-(25,11,14820) (complement has $\lambda=23940$)

derived from number 8791 |

11073 5-(25,13,14820) (complement has $\lambda=111150$)

supplementary design of number 11072 |

8791 6-(26,12,14820) (complement has $\lambda=23940$)

derived from number 8789 |

8789 7-(27,13,14820) (complement has $\lambda=23940$)

\cite{Sebille98} $AGL(3,3)$ |

10991 5-(23,12,14904) (complement has $\lambda=16920$)

supplementary design of number 10990 |

8262 5-(26,11,14952) (complement has $\lambda=39312$)

residual design of number 8257 |

design of number 8259 with respect to smaller t |

derived from number 11640 |

11640 6-(27,12,14952) (complement has $\lambda=39312$)

TvT: 6-(26,11,4272) $\cup$ 6-(26,12,10680) |

2702 5-(24,12,14964) (complement has $\lambda=35424$)

\cite{Bluskov} |

Alltop construction for design number 2704 |

6954 5-(28,10,14973) (complement has $\lambda=18676$)

design of number 6953 with respect to smaller t |

2379 5-(23,12,14976) (complement has $\lambda=16848$)

supplementary design of number 2378 |

8432 5-(25,11,15000) (complement has $\lambda=23760$)

residual design of number 8426 |

5711 5-(23,12,15048) (complement has $\lambda=16776$)

residual design of number 5708 |

supplementary design of number 5710 |

11094 5-(27,12,15048) (complement has $\lambda=155496$)

TvT: 5-(26,11,4788) $\cup$ 5-(26,12,10260) |

5721 5-(23,12,15120) (complement has $\lambda=16704$)

residual design of number 5718 |

supplementary design of number 5720 |

8446 5-(25,11,15120) (complement has $\lambda=23640$)

residual design of number 8440 |

6403 5-(26,11,15120) (complement has $\lambda=39144$)

residual design of number 6400 |

design of number 8277 with respect to smaller t |

derived from number 8853 |

6678 5-(26,13,15120) (complement has $\lambda=188370$)

residual design of number 6674 |

derived from number 6675 |

Alltop construction for design number 6688 |

8853 6-(27,12,15120) (complement has $\lambda=39144$)

derived from number 8852 |

6675 6-(27,14,15120) (complement has $\lambda=188370$)

supplementary design of number 6674 |

residual design of number 6680 |

8852 7-(28,13,15120) (complement has $\lambda=39144$)

$Sp(6,2)$ 2 isomorphism types |

9353 5-(31,10,15180) (complement has $\lambda=50600$)

residual design of number 9347 |

5730 5-(23,12,15192) (complement has $\lambda=16632$)

residual design of number 5727 |

supplementary design of number 5729 |

5833 5-(24,12,15210) (complement has $\lambda=35178$)

residual design of number 5829 |

derived from number 5830 |

Alltop construction for design number 5843 |

5830 6-(25,13,15210) (complement has $\lambda=35178$)

supplementary design of number 5829 |

residual design of number 5835 |

7917 5-(24,12,15288) (complement has $\lambda=35100$)

Alltop construction for design number 7915 |

5645 5-(23,12,15336) (complement has $\lambda=16488$)

design of number 5639 with respect to smaller t |

supplementary design of number 5640 |

residual design of number 5643 |

7939 5-(25,11,15360) (complement has $\lambda=23400$)

residual design of number 7935 |

design of number 7937 with respect to smaller t |

derived from number 10591 |

10591 6-(26,12,15360) (complement has $\lambda=23400$)

derived from number 10584 |

design of number 10585 with respect to smaller t |

residual design of number 11560 |

10584 7-(27,13,15360) (complement has $\lambda=23400$)

design of number 10582 with respect to smaller t |

derived from number 10587 |

10587 8-(28,14,15360) (complement has $\lambda=23400$)

Tran van Trung construction with supplementary design for design number 10582 |

design of number 10588 with respect to smaller t |

red 9-(28,14,4608) |

10805 5-(24,12,15390) (complement has $\lambda=34998$)

Alltop construction for design number 10802 |

Tran van Trung construction with supplementary design for design number 10880 |

7714 5-(36,9,15400) (complement has $\lambda=16065$)

residual design of number 7711 |

8609 5-(25,13,15405) (complement has $\lambda=110565$)

supplementary design of number 8599 |

5853 5-(24,12,15444) (complement has $\lambda=34944$)

residual design of number 5849 |

derived from number 5850 |

Alltop construction for design number 5863 |

5850 6-(25,13,15444) (complement has $\lambda=34944$)

supplementary design of number 5849 |

residual design of number 5855 |

8290 5-(26,11,15456) (complement has $\lambda=38808$)

residual design of number 8285 |

design of number 8287 with respect to smaller t |

2352 5-(24,12,15504) (complement has $\lambda=34884$)

Tran van Trung construction with supplementary design for design number 2349 |

Alltop construction for design number 2351 |

\cite{Bluskov} |

Tran van Trung construction from 5-(23,11,5712) |

2706 5-(24,12,15540) (complement has $\lambda=34848$)

\cite{Bluskov} |

Alltop construction for design number 2708 |

7061 5-(28,10,15561) (complement has $\lambda=18088$)

residual design of number 7059 |

9284 5-(31,10,15600) (complement has $\lambda=50180$)

design of number 9281 with respect to smaller t |

9308 5-(29,10,15624) (complement has $\lambda=26880$)

residual design of number 9302 |

design of number 10659 with respect to smaller t |

6964 5-(28,10,15778) (complement has $\lambda=17871$)

design of number 6963 with respect to smaller t |

8624 5-(25,13,15795) (complement has $\lambda=110175$)

supplementary design of number 8620 |

7702 5-(37,9,15800) (complement has $\lambda=20160$)

design of number 7701 with respect to smaller t |

5740 5-(23,12,15840) (complement has $\lambda=15984$)

residual design of number 5737 |

supplementary design of number 5739 |

8466 5-(25,11,15840) (complement has $\lambda=22920$)

residual design of number 8463 |

6604 5-(26,11,15876) (complement has $\lambda=38388$)

derived from number 6602 |

design of number 8670 with respect to smaller t |

6602 6-(27,12,15876) (complement has $\lambda=38388$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8669 with respect to smaller t |

2386 5-(23,12,15912) (selfcomplementary)

supplementary design of number 2385 |

residual design of number 2389 |

residual design of complement of number 2389 |

8155 5-(27,11,15939) (complement has $\lambda=58674$)

design of number 8152 with respect to smaller t |

8820 5-(28,10,15939) (complement has $\lambda=17710$)

design of number 8818 with respect to smaller t |

derived from number 9211 |

11229 5-(28,11,15939) (complement has $\lambda=85008$)

TvT: 5-(27,10,4158) $\cup$ 5-(27,11,11781) |

design of number 11288 with respect to smaller t |

9211 6-(29,11,15939) (complement has $\lambda=17710$)

design of number 9210 with respect to smaller t |

8650 5-(25,12,15960) (complement has $\lambda=61560$)

residual design of number 8647 |

5873 5-(24,12,16068) (complement has $\lambda=34320$)

residual design of number 5869 |

derived from number 5870 |

Alltop construction for design number 5883 |

5870 6-(25,13,16068) (complement has $\lambda=34320$)

supplementary design of number 5869 |

residual design of number 5875 |

8478 5-(25,11,16080) (complement has $\lambda=22680$)

residual design of number 8472 |

derived from number 8720 |

8720 6-(26,12,16080) (complement has $\lambda=22680$)

residual design of number 8718 |

6411 5-(26,11,16128) (complement has $\lambda=38136$)

residual design of number 6408 |

design of number 8300 with respect to smaller t |

4558 5-(29,14,16192) (complement has $\lambda=1291312$)

TvT: 5-(28,13,6072) $\cup$ 5-(28,14,10120) |

8492 5-(25,11,16200) (complement has $\lambda=22560$)

residual design of number 8489 |

derived from number 8730 |

8730 6-(26,12,16200) (complement has $\lambda=22560$)

residual design of number 8729 |

6974 5-(28,10,16261) (complement has $\lambda=17388$)

design of number 6973 with respect to smaller t |

5674 5-(24,12,16302) (complement has $\lambda=34086$)

Tran van Trung construction with supplementary design for design number 5666 |

Alltop construction for design number 5669 |

residual design of number 5889 |

derived from number 5890 |

5890 6-(25,13,16302) (complement has $\lambda=34086$)

supplementary design of number 5889 |

residual design of number 5893 |

7068 5-(28,10,16359) (complement has $\lambda=17290$)

residual design of number 7065 |

6643 5-(26,13,16380) (complement has $\lambda=187110$)

Alltop construction for design number 6641 |

6984 5-(28,10,16422) (complement has $\lambda=17227$)

design of number 6983 with respect to smaller t |

8501 5-(25,11,16440) (complement has $\lambda=22320$)

residual design of number 8498 |

6420 5-(26,11,16464) (complement has $\lambda=37800$)

residual design of number 6417 |

design of number 7906 with respect to smaller t |

6428 5-(26,11,16632) (complement has $\lambda=37632$)

residual design of number 6425 |

design of number 8311 with respect to smaller t |

6372 5-(27,11,16632) (complement has $\lambda=57981$)

design of number 6371 with respect to smaller t |

7484 5-(29,10,16632) (complement has $\lambda=25872$)

residual design of number 7482 |

7585 5-(31,10,16640) (complement has $\lambda=49140$)

design of number 7584 with respect to smaller t |

9326 5-(29,10,16800) (complement has $\lambda=25704$)

residual design of number 9321 |

design of number 10649 with respect to smaller t |

9797 5-(34,10,16800) (complement has $\lambda=101955$)

residual design of number 9791 |

derived from number 9792 |

9792 6-(35,11,16800) (complement has $\lambda=101955$)

residual design of number 9789 |

10507 5-(24,12,16848) (complement has $\lambda=33540$)

residual design of number 10503 |

derived from number 10506 |

Alltop construction for design number 10511 |

10506 6-(25,13,16848) (complement has $\lambda=33540$)

supplementary design of number 10503 |

residual design of number 10509 |

8515 5-(25,11,16920) (complement has $\lambda=21840$)

residual design of number 8509 |

derived from number 10612 |

design of number 10614 with respect to smaller t |

10612 6-(26,12,16920) (complement has $\lambda=21840$)

derived from number 10605 |

design of number 10606 with respect to smaller t |

10605 7-(27,13,16920) (complement has $\lambda=21840$)

design of number 10603 with respect to smaller t |

derived from number 10608 |

10608 8-(28,14,16920) (complement has $\lambda=21840$)

Tran van Trung construction with supplementary design for design number 10603 |

design of number 10609 with respect to smaller t |

red 9-(28,14,5076) |

5906 5-(24,12,16926) (complement has $\lambda=33462$)

residual design of number 5902 |

derived from number 5903 |

Alltop construction for design number 5916 |

5903 6-(25,13,16926) (complement has $\lambda=33462$)

supplementary design of number 5902 |

residual design of number 5908 |

8323 5-(26,11,16968) (complement has $\lambda=37296$)

residual design of number 8318 |

design of number 8320 with respect to smaller t |

8185 5-(27,11,17094) (complement has $\lambda=57519$)

design of number 8182 with respect to smaller t |

5926 5-(24,12,17160) (complement has $\lambda=33228$)

residual design of number 5922 |

derived from number 5923 |

Alltop construction for design number 5936 |

6286 5-(25,11,17160) (complement has $\lambda=21600$)

derived from number 6284 |

residual design of number 7952 |

design of number 7954 with respect to smaller t |

5923 6-(25,13,17160) (complement has $\lambda=33228$)

supplementary design of number 5922 |

residual design of number 5928 |

6284 6-(26,12,17160) (complement has $\lambda=21600$)

TvT: 6-(25,11,5148) $\cup$ 6-(25,12,12012) |

derived from number 8803 |

design of number 10637 with respect to smaller t |

residual design of number 11549 |

8803 7-(27,13,17160) (complement has $\lambda=21600$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 10635 with respect to smaller t |

derived from number 10638 |

10638 8-(28,14,17160) (complement has $\lambda=21600$)

Tran van Trung construction with supplementary design for design number 10635 |

design of number 10639 with respect to smaller t |

red 9-(28,14,5148) |

8533 5-(25,11,17280) (complement has $\lambda=21480$)

residual design of number 8531 |

design of number 10490 with respect to smaller t |

10433 5-(38,9,17280) (complement has $\lambda=23640$)

residual design of number 10427 |

derived from number 10428 |

10428 6-(39,10,17280) (complement has $\lambda=23640$)

residual design of number 10425 |

3836 5-(26,13,17325) (complement has $\lambda=186165$)

Tran van Trung construction with supplementary design for design number 3833 |

Alltop construction for design number 3835 |

2710 5-(24,12,17442) (complement has $\lambda=32946$)

\cite{Bluskov} |

Alltop construction for design number 2712 |

Tran van Trung construction with supplementary design for design number 5609 |

design of number 5611 with respect to smaller t |

8541 5-(25,11,17520) (complement has $\lambda=21240$)

residual design of number 8538 |

7712 5-(37,9,17600) (complement has $\lambda=18360$)

design of number 7711 with respect to smaller t |

7933 5-(24,12,17628) (complement has $\lambda=32760$)

Alltop construction for design number 7931 |

6436 5-(26,11,17640) (complement has $\lambda=36624$)

residual design of number 6433 |

design of number 8339 with respect to smaller t |

derived from number 8856 |

8856 6-(27,12,17640) (complement has $\lambda=36624$)

derived from number 8854 |

8854 7-(28,13,17640) (complement has $\lambda=36624$)

$Sp(6,2)$ 2 isomorphism types |

7490 5-(29,10,17640) (complement has $\lambda=24864$)

residual design of number 7488 |

5679 5-(24,12,17670) (complement has $\lambda=32718$)

design of number 5678 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5680 |

Alltop construction for design number 5683 |

8743 5-(25,11,17700) (complement has $\lambda=21060$)

residual design of number 8737 |

derived from number 8738 |

8738 6-(26,12,17700) (complement has $\lambda=21060$)

residual design of number 8735 |

2360 5-(24,12,17784) (complement has $\lambda=32604$)

Tran van Trung construction with supplementary design for design number 2356 |

Alltop construction for design number 2358 |

8767 5-(25,11,17820) (complement has $\lambda=20940$)

residual design of number 8761 |

derived from number 8762 |

8762 6-(26,12,17820) (complement has $\lambda=20940$)

residual design of number 8759 |

7477 5-(30,10,17850) (complement has $\lambda=35280$)

design of number 7476 with respect to smaller t |

residual design of number 7587 |

26 5-(31,10,17940) (complement has $\lambda=47840$)

TvT: 5-(30,9,3450) $\cup$ 5-(30,10,14490) |

design of number 37 with respect to smaller t |

11083 5-(26,13,17955) (complement has $\lambda=185535$)

Alltop construction for design number 11080 |

Tran van Trung construction with supplementary design for design number 11090 |

6445 5-(26,11,17976) (complement has $\lambda=36288$)

residual design of number 6442 |

derived from number 6612 |

design of number 8348 with respect to smaller t |

6612 6-(27,12,17976) (complement has $\lambda=36288$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8681 with respect to smaller t |

residual design of number 8830 |

8554 5-(25,11,18000) (complement has $\lambda=20760$)

residual design of number 8548 |

5946 5-(24,12,18018) (complement has $\lambda=32370$)

residual design of number 5942 |

derived from number 5943 |

Alltop construction for design number 5956 |

5943 6-(25,13,18018) (complement has $\lambda=32370$)

supplementary design of number 5942 |

residual design of number 5948 |

8205 5-(27,11,18018) (complement has $\lambda=56595$)

design of number 8202 with respect to smaller t |

5630 5-(24,12,18126) (complement has $\lambda=32262$)

Tran van Trung construction with supplementary design for design number 5620 |

design of number 5623 with respect to smaller t |

Alltop construction for design number 5627 |

6454 5-(26,11,18144) (complement has $\lambda=36120$)

residual design of number 6451 |

derived from number 6618 |

design of number 8357 with respect to smaller t |

6618 6-(27,12,18144) (complement has $\lambda=36120$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8687 with respect to smaller t |

residual design of number 8831 |

derived from number 11599 |

11599 7-(28,13,18144) (complement has $\lambda=36120$)

TvT: 7-(27,12,5184) $\cup$ 7-(27,13,12960) |

9369 5-(31,10,18216) (complement has $\lambda=47564$)

residual design of number 9363 |

3794 5-(25,11,18240) (complement has $\lambda=20520$)

TvT: 5-(24,10,5472) $\cup$ 5-(24,11,12768) |

residual design of number 8564 |

8567 5-(25,11,18360) (complement has $\lambda=20400$)

residual design of number 8566 |

6697 5-(26,12,18360) (complement has $\lambda=97920$)

derived from number 6694 |

6694 6-(27,13,18360) (complement has $\lambda=97920$)

$ASL(3,3)$ |

derived from number 6700 |

6700 7-(28,14,18360) (complement has $\lambda=97920$)

Alltop construction for design number 6694 |

3797 5-(25,11,18480) (complement has $\lambda=20280$)

TvT: 5-(24,10,5544) $\cup$ 5-(24,11,12936) |

8368 5-(26,11,18480) (complement has $\lambda=35784$)

residual design of number 8363 |

design of number 8365 with respect to smaller t |

8224 5-(27,11,18480) (complement has $\lambda=56133$)

design of number 8221 with respect to smaller t |

derived from number 11291 |

11291 6-(28,12,18480) (complement has $\lambda=56133$)

TvT: 6-(27,11,5040) $\cup$ 6-(27,12,13440) |

design of number 11332 with respect to smaller t |

8574 5-(25,11,18600) (complement has $\lambda=20160$)

residual design of number 8571 |

9350 5-(32,10,18630) (complement has $\lambda=62100$)

residual design of number 9345 |

design of number 9347 with respect to smaller t |

6382 5-(27,11,18711) (complement has $\lambda=55902$)

design of number 6381 with respect to smaller t |

derived from number 7004 |

7004 6-(28,12,18711) (complement has $\lambda=55902$)

TvT: 6-(27,11,5103) $\cup$ 6-(27,12,13608) |

design of number 8829 with respect to smaller t |

849 5-(25,13,18720) (complement has $\lambda=107250$)

supplementary design of number 848 |

10453 5-(38,9,18780) (complement has $\lambda=22140$)

residual design of number 10447 |

derived from number 10448 |

10448 6-(39,10,18780) (complement has $\lambda=22140$)

residual design of number 10445 |

7496 5-(29,10,18816) (complement has $\lambda=23688$)

residual design of number 7494 |

5966 5-(24,12,18876) (complement has $\lambda=31512$)

residual design of number 5962 |

derived from number 5963 |

Alltop construction for design number 5976 |

5963 6-(25,13,18876) (complement has $\lambda=31512$)

supplementary design of number 5962 |

residual design of number 5968 |

6292 5-(25,11,18960) (complement has $\lambda=19800$)

derived from number 6290 |

residual design of number 7958 |

design of number 7960 with respect to smaller t |

6290 6-(26,12,18960) (complement has $\lambda=19800$)

TvT: 6-(25,11,5688) $\cup$ 6-(25,12,13272) |

7922 5-(26,11,18984) (complement has $\lambda=35280$)

design of number 7919 with respect to smaller t |

derived from number 8872 |

8872 6-(27,12,18984) (complement has $\lambda=35280$)

derived from number 8871 |

8871 7-(28,13,18984) (complement has $\lambda=35280$)

$Sp(6,2)$ 2 isomorphism types |

8582 5-(25,11,19080) (complement has $\lambda=19680$)

residual design of number 8580 |

6657 5-(26,12,19080) (complement has $\lambda=97200$)

residual design of number 6654 |

design of number 8629 with respect to smaller t |

3921 5-(26,11,19152) (complement has $\lambda=35112$)

TvT: 5-(25,10,5472) $\cup$ 5-(25,11,13680) |

residual design of number 6459 |

design of number 8377 with respect to smaller t |

8659 5-(25,12,19200) (complement has $\lambda=58320$)

residual design of number 8658 |

7969 5-(25,11,19260) (complement has $\lambda=19500$)

residual design of number 7964 |

design of number 7966 with respect to smaller t |

7982 5-(25,11,19320) (complement has $\lambda=19440$)

derived from number 7979 |

design of number 7980 with respect to smaller t |

residual design of number 8587 |

7979 6-(26,12,19320) (complement has $\lambda=19440$)

design of number 7978 with respect to smaller t |

residual design of number 8775 |

derived from number 8808 |

8808 7-(27,13,19320) (complement has $\lambda=19440$)

TvT: 7-(26,12,5796) $\cup$ 7-(26,13,13524) |

2367 5-(24,12,19380) (complement has $\lambda=31008$)

Tran van Trung construction with supplementary design for design number 2364 |

Alltop construction for design number 2366 |

\cite{Bluskov} |

3800 5-(25,11,19380) (selfcomplementary)

TvT: 5-(24,10,5814) $\cup$ 5-(24,11,13566) |

8665 5-(25,12,19440) (complement has $\lambda=58080$)

residual design of number 8664 |

6667 5-(26,12,19440) (complement has $\lambda=96840$)

residual design of number 6664 |

design of number 8640 with respect to smaller t |

6465 5-(26,11,19488) (complement has $\lambda=34776$)

residual design of number 6462 |

design of number 8380 with respect to smaller t |

5986 5-(24,12,19500) (complement has $\lambda=30888$)

residual design of number 5982 |

derived from number 5983 |

Alltop construction for design number 5996 |

5983 6-(25,13,19500) (complement has $\lambda=30888$)

supplementary design of number 5982 |

residual design of number 5988 |

9305 5-(30,10,19530) (complement has $\lambda=33600$)

residual design of number 9300 |

design of number 9302 with respect to smaller t |

10430 5-(39,9,19584) (complement has $\lambda=26792$)

derived from number 10426 |

design of number 10427 with respect to smaller t |

10426 6-(40,10,19584) (complement has $\lambda=26792$)

design of number 10425 with respect to smaller t |

8394 5-(26,11,19656) (complement has $\lambda=34608$)

residual design of number 8389 |

design of number 8391 with respect to smaller t |

7060 5-(29,10,19656) (complement has $\lambda=22848$)

design of number 7059 with respect to smaller t |

residual design of number 7500 |

6006 5-(24,12,19734) (complement has $\lambda=30654$)

residual design of number 6002 |

derived from number 6003 |

Alltop construction for design number 6016 |

6003 6-(25,13,19734) (complement has $\lambda=30654$)

supplementary design of number 6002 |

residual design of number 6008 |

7505 5-(29,10,19824) (complement has $\lambda=22680$)

residual design of number 7503 |

7950 5-(24,12,19968) (complement has $\lambda=30420$)

Alltop construction for design number 7948 |

residual design of number 10593 |

derived from number 10594 |

10594 6-(25,13,19968) (complement has $\lambda=30420$)

residual design of number 10586 |

derived from number 10590 |

supplementary design of number 10593 |

10590 7-(26,14,19968) (complement has $\lambda=30420$)

residual design of number 10583 |

6474 5-(26,11,19992) (complement has $\lambda=34272$)

residual design of number 6472 |

design of number 8409 with respect to smaller t |

5689 5-(24,12,20064) (complement has $\lambda=30324$)

design of number 5688 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5690 |

Alltop construction for design number 5693 |

11079 5-(27,12,20064) (complement has $\lambda=150480$)

TvT: 5-(26,11,6384) $\cup$ 5-(26,12,13680) |

7743 5-(39,9,20088) (complement has $\lambda=26288$)

residual design of number 7740 |

6391 5-(27,11,20097) (complement has $\lambda=54516$)

design of number 6390 with respect to smaller t |

7753 5-(39,9,20150) (complement has $\lambda=26226$)

residual design of number 7750 |

8883 5-(26,11,20160) (complement has $\lambda=34104$)

derived from number 8881 |

8881 6-(27,12,20160) (complement has $\lambda=34104$)

derived from number 8880 |

8880 7-(28,13,20160) (complement has $\lambda=34104$)

$Sp(6,2)$ 24 isomorphism types |

9794 5-(35,10,20160) (complement has $\lambda=122346$)

derived from number 9790 |

design of number 9791 with respect to smaller t |

9790 6-(36,11,20160) (complement has $\lambda=122346$)

design of number 9789 with respect to smaller t |

8782 5-(25,12,20280) (complement has $\lambda=57240$)

residual design of number 8778 |

derived from number 8779 |

8779 6-(26,13,20280) (complement has $\lambda=57240$)

residual design of number 8776 |

derived from number 8777 |

8777 7-(27,14,20280) (complement has $\lambda=57240$)

supplementary design of number 8776 |

7512 5-(29,10,20328) (complement has $\lambda=22176$)

residual design of number 7509 |

6026 5-(24,12,20358) (complement has $\lambda=30030$)

residual design of number 6022 |

derived from number 6023 |

Alltop construction for design number 6036 |

6023 6-(25,13,20358) (complement has $\lambda=30030$)

supplementary design of number 6022 |

residual design of number 6028 |

4903 5-(31,16,20384) (complement has $\lambda=7705776$)

supplementary design of number 4902 |

8698 5-(26,11,20412) (complement has $\lambda=33852$)

derived from number 8694 |

design of number 8695 with respect to smaller t |

8694 6-(27,12,20412) (complement has $\lambda=33852$)

design of number 8693 with respect to smaller t |

10809 5-(24,12,20520) (complement has $\lambda=29868$)

Alltop construction for design number 10806 |

Tran van Trung construction with supplementary design for design number 10883 |

8260 5-(27,11,20559) (complement has $\lambda=54054$)

design of number 8257 with respect to smaller t |

derived from number 11641 |

11641 6-(28,12,20559) (complement has $\lambda=54054$)

TvT: 6-(27,11,5607) $\cup$ 6-(27,12,14952) |

6046 5-(24,12,20592) (complement has $\lambda=29796$)

residual design of number 6042 |

derived from number 6043 |

Alltop construction for design number 6054 |

6043 6-(25,13,20592) (complement has $\lambda=29796$)

supplementary design of number 6042 |

residual design of number 6048 |

6479 5-(26,11,20664) (complement has $\lambda=33600$)

residual design of number 6476 |

design of number 8416 with respect to smaller t |

7066 5-(29,10,20664) (complement has $\lambda=21840$)

design of number 7065 with respect to smaller t |

residual design of number 7518 |

8636 5-(25,13,20670) (complement has $\lambda=105300$)

supplementary design of number 8632 |

6401 5-(27,11,20790) (complement has $\lambda=53823$)

design of number 6400 with respect to smaller t |

derived from number 7005 |

7005 6-(28,12,20790) (complement has $\lambda=53823$)

TvT: 6-(27,11,5670) $\cup$ 6-(27,12,15120) |

7483 5-(30,10,20790) (complement has $\lambda=32340$)

design of number 7482 with respect to smaller t |

residual design of number 7590 |

10539 5-(24,13,20826) (complement has $\lambda=54756$)

residual design of number 10531 |

derived from number 10533 |

10533 6-(25,14,20826) (complement has $\lambda=54756$)

residual design of number 10526 |

8594 5-(27,12,20856) (complement has $\lambda=149688$)

design of number 8591 with respect to smaller t |

10935 5-(24,12,20862) (complement has $\lambda=29526$)

Alltop construction for design number 10932 |

Tran van Trung construction with supplementary design for design number 10984 |

8429 5-(26,11,21000) (complement has $\lambda=33264$)

residual design of number 8424 |

design of number 8426 with respect to smaller t |

9324 5-(30,10,21000) (complement has $\lambda=32130$)

residual design of number 9319 |

design of number 9321 with respect to smaller t |

9817 5-(34,10,21000) (complement has $\lambda=97755$)

residual design of number 9811 |

derived from number 9812 |

9812 6-(35,11,21000) (complement has $\lambda=97755$)

residual design of number 9809 |

10571 5-(24,13,21060) (complement has $\lambda=54522$)

residual design of number 10563 |

derived from number 10565 |

8642 5-(25,13,21060) (complement has $\lambda=104910$)

supplementary design of number 8641 |

10565 6-(25,14,21060) (complement has $\lambda=54522$)

residual design of number 10558 |

8443 5-(26,11,21168) (complement has $\lambda=33096$)

residual design of number 8438 |

design of number 8440 with respect to smaller t |

7523 5-(29,10,21168) (complement has $\lambda=21336$)

residual design of number 7521 |

7763 5-(39,9,21204) (complement has $\lambda=25172$)

residual design of number 7760 |

6062 5-(24,12,21216) (complement has $\lambda=29172$)

residual design of number 6058 |

derived from number 6059 |

Alltop construction for design number 6072 |

6059 6-(25,13,21216) (complement has $\lambda=29172$)

supplementary design of number 6058 |

residual design of number 6064 |

8288 5-(27,11,21252) (complement has $\lambda=53361$)

design of number 8285 with respect to smaller t |

11361 5-(29,11,21252) (complement has $\lambda=113344$)

TvT: 5-(28,10,5313) $\cup$ 5-(28,11,15939) |

9388 5-(31,10,21252) (complement has $\lambda=44528$)

residual design of number 9383 |

7773 5-(39,9,21266) (complement has $\lambda=25110$)

residual design of number 7770 |

10450 5-(39,9,21284) (complement has $\lambda=25092$)

derived from number 10446 |

design of number 10447 with respect to smaller t |

10446 6-(40,10,21284) (complement has $\lambda=25092$)

design of number 10445 with respect to smaller t |

2714 5-(24,12,21318) (complement has $\lambda=29070$)

\cite{Bluskov} |

Alltop construction for design number 2716 |

10534 5-(25,12,21360) (complement has $\lambda=56160$)

residual design of number 10527 |

derived from number 10528 |

design of number 10530 with respect to smaller t |

10528 6-(26,13,21360) (complement has $\lambda=56160$)

residual design of number 10520 |

design of number 10522 with respect to smaller t |

derived from number 10525 |

Tran van Trung construction with supplementary design for design number 10530 |

10525 7-(27,14,21360) (complement has $\lambda=56160$)

design of number 10519 with respect to smaller t |

supplementary design of number 10520 |

residual design of number 10523 |

6645 5-(27,12,21384) (complement has $\lambda=149160$)

design of number 6644 with respect to smaller t |

5699 5-(24,12,21432) (complement has $\lambda=28956$)

design of number 5698 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5700 |

Alltop construction for design number 5703 |

6082 5-(24,12,21450) (complement has $\lambda=28938$)

residual design of number 6078 |

derived from number 6079 |

Alltop construction for design number 6092 |

3805 5-(25,13,21450) (complement has $\lambda=104520$)

supplementary design of number 3804 |

6079 6-(25,13,21450) (complement has $\lambda=28938$)

supplementary design of number 6078 |

residual design of number 6084 |

6489 5-(26,11,21504) (complement has $\lambda=32760$)

residual design of number 6486 |

design of number 7935 with respect to smaller t |

derived from number 8896 |

8896 6-(27,12,21504) (complement has $\lambda=32760$)

derived from number 8895 |

design of number 11560 with respect to smaller t |

residual design of number 11561 |

8895 7-(28,13,21504) (complement has $\lambda=32760$)

$Sp(6,2)$ 23 isomorphism types |

5797 5-(24,13,21528) (complement has $\lambda=54054$)

residual design of number 5790 |

10566 5-(25,12,21600) (complement has $\lambda=55920$)

residual design of number 10559 |

derived from number 10560 |

design of number 10562 with respect to smaller t |

8839 5-(26,12,21600) (complement has $\lambda=94680$)

residual design of number 8835 |

derived from number 8836 |

10560 6-(26,13,21600) (complement has $\lambda=55920$)

residual design of number 10552 |

design of number 10554 with respect to smaller t |

derived from number 10557 |

Tran van Trung construction with supplementary design for design number 10562 |

8836 6-(27,13,21600) (complement has $\lambda=94680$)

residual design of number 8833 |

derived from number 8843 |

10557 7-(27,14,21600) (complement has $\lambda=55920$)

design of number 10551 with respect to smaller t |

supplementary design of number 10552 |

residual design of number 10555 |

8843 7-(28,14,21600) (complement has $\lambda=94680$)

Alltop construction for design number 8836 |

Alltop |

9199 5-(27,11,21726) (complement has $\lambda=52887$)

residual design of number 9193 |

6682 5-(26,14,21840) (complement has $\lambda=272090$)

residual design of number 6675 |

5817 5-(24,13,21879) (complement has $\lambda=53703$)

residual design of number 5810 |

11150 5-(24,12,21888) (complement has $\lambda=28500$)

Alltop construction for design number 11147 |

10623 5-(24,12,21996) (complement has $\lambda=28392$)

residual design of number 10615 |

derived from number 10616 |

Alltop construction for design number 10630 |

10616 6-(25,13,21996) (complement has $\lambda=28392$)

residual design of number 10607 |

derived from number 10611 |

supplementary design of number 10615 |

10611 7-(26,14,21996) (complement has $\lambda=28392$)

residual design of number 10604 |

7489 5-(30,10,22050) (complement has $\lambda=31080$)

design of number 7488 with respect to smaller t |

residual design of number 7592 |

6102 5-(24,12,22074) (complement has $\lambda=28314$)

residual design of number 6098 |

derived from number 6099 |

Alltop construction for design number 6112 |

6099 6-(25,13,22074) (complement has $\lambda=28314$)

supplementary design of number 6098 |

residual design of number 6104 |

5791 5-(25,12,22080) (complement has $\lambda=55440$)

design of number 5789 with respect to smaller t |

derived from number 5794 |

5794 6-(26,13,22080) (complement has $\lambda=55440$)

Tran van Trung construction with supplementary design for design number 5789 |

design of number 5795 with respect to smaller t |

7588 5-(31,10,22100) (complement has $\lambda=43680$)

design of number 7587 with respect to smaller t |

6497 5-(26,11,22176) (complement has $\lambda=32088$)

residual design of number 6494 |

design of number 8463 with respect to smaller t |

6409 5-(27,11,22176) (complement has $\lambda=52437$)

design of number 6408 with respect to smaller t |

10813 5-(24,12,22230) (complement has $\lambda=28158$)

Alltop construction for design number 10810 |

Tran van Trung construction with supplementary design for design number 10886 |

9405 5-(31,10,22264) (complement has $\lambda=43516$)

residual design of number 9399 |

6122 5-(24,12,22308) (complement has $\lambda=28080$)

residual design of number 6118 |

derived from number 6119 |

Alltop construction for design number 6132 |

6119 6-(25,13,22308) (complement has $\lambda=28080$)

supplementary design of number 6118 |

residual design of number 6124 |

derived from number 10640 |

10640 7-(26,14,22308) (complement has $\lambda=28080$)

residual design of number 10636 |

9366 5-(32,10,22356) (complement has $\lambda=58374$)

residual design of number 9361 |

design of number 9363 with respect to smaller t |

5811 5-(25,12,22440) (complement has $\lambda=55080$)

design of number 5809 with respect to smaller t |

derived from number 5814 |

5814 6-(26,13,22440) (complement has $\lambda=55080$)

Tran van Trung construction with supplementary design for design number 5809 |

design of number 5815 with respect to smaller t |

10497 5-(24,12,22464) (complement has $\lambda=27924$)

Alltop construction for design number 10494 |

8475 5-(26,11,22512) (complement has $\lambda=31752$)

residual design of number 8470 |

design of number 8472 with respect to smaller t |

derived from number 8719 |

8719 6-(27,12,22512) (complement has $\lambda=31752$)

design of number 8718 with respect to smaller t |

residual design of number 11333 |

10939 5-(24,12,22572) (complement has $\lambda=27816$)

Alltop construction for design number 10936 |

Tran van Trung construction with supplementary design for design number 10987 |

6418 5-(27,11,22638) (complement has $\lambda=51975$)

design of number 6417 with respect to smaller t |

8674 5-(25,12,22680) (complement has $\lambda=54840$)

residual design of number 8671 |

6504 5-(26,11,22680) (complement has $\lambda=31584$)

residual design of number 6501 |

derived from number 6624 |

design of number 8489 with respect to smaller t |

6624 6-(27,12,22680) (complement has $\lambda=31584$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8729 with respect to smaller t |

residual design of number 8832 |

derived from number 8904 |

8904 7-(28,13,22680) (complement has $\lambda=31584$)

$Sp(6,2)$ 57 isomorphism types |

9348 5-(33,10,22680) (complement has $\lambda=75600$)

design of number 9345 with respect to smaller t |

9837 5-(34,10,22680) (complement has $\lambda=96075$)

residual design of number 9831 |

derived from number 9832 |

9832 6-(35,11,22680) (complement has $\lambda=96075$)

residual design of number 9829 |

7741 5-(40,9,22680) (complement has $\lambda=29680$)

design of number 7740 with respect to smaller t |

7751 5-(40,9,22750) (complement has $\lambda=29610$)

design of number 7750 with respect to smaller t |

5837 5-(24,13,22815) (complement has $\lambda=52767$)

residual design of number 5830 |

6426 5-(27,11,22869) (complement has $\lambda=51744$)

design of number 6425 with respect to smaller t |

6142 5-(24,12,22932) (complement has $\lambda=27456$)

residual design of number 6138 |

derived from number 6139 |

Alltop construction for design number 6152 |

6139 6-(25,13,22932) (complement has $\lambda=27456$)

supplementary design of number 6138 |

residual design of number 6144 |

860 5-(25,13,23010) (complement has $\lambda=102960$)

supplementary design of number 859 |

6512 5-(26,11,23016) (complement has $\lambda=31248$)

residual design of number 6509 |

design of number 8498 with respect to smaller t |

8933 5-(26,12,23040) (complement has $\lambda=93240$)

derived from number 8928 |

8928 6-(27,13,23040) (complement has $\lambda=93240$)

derived from number 8926 |

8926 7-(28,14,23040) (complement has $\lambda=93240$)

$Sp(6,2)$ |

Alltop construction for design number 8928 |

6162 5-(24,12,23166) (complement has $\lambda=27222$)

residual design of number 6158 |

derived from number 6159 |

Alltop construction for design number 6172 |

5857 5-(24,13,23166) (complement has $\lambda=52416$)

residual design of number 5850 |

6159 6-(25,13,23166) (complement has $\lambda=27222$)

supplementary design of number 6158 |

residual design of number 6164 |

5160 5-(31,10,23232) (complement has $\lambda=42548$)

residual design of number 5157 |

2374 5-(24,12,23256) (complement has $\lambda=27132$)

Tran van Trung construction with supplementary design for design number 2371 |

Alltop construction for design number 2373 |

\cite{Bluskov} |

design of number 11502 with respect to smaller t |

8321 5-(27,11,23331) (complement has $\lambda=51282$)

design of number 8318 with respect to smaller t |

5831 5-(25,12,23400) (complement has $\lambda=54120$)

design of number 5829 with respect to smaller t |

derived from number 5834 |

5834 6-(26,13,23400) (complement has $\lambda=54120$)

Tran van Trung construction with supplementary design for design number 5829 |

design of number 5835 with respect to smaller t |

761 5-(25,12,23520) (complement has $\lambda=54000$)

TvT: 5-(24,11,8232) $\cup$ 5-(24,12,15288) |

7495 5-(30,10,23520) (complement has $\lambda=29610$)

design of number 7494 with respect to smaller t |

residual design of number 7595 |

10943 5-(24,12,23598) (complement has $\lambda=26790$)

Alltop construction for design number 10940 |

Tran van Trung construction with supplementary design for design number 10990 |

8512 5-(26,11,23688) (complement has $\lambda=30576$)

residual design of number 8507 |

design of number 8509 with respect to smaller t |

derived from number 11558 |

11558 6-(27,12,23688) (complement has $\lambda=30576$)

TvT: 6-(26,11,6768) $\cup$ 6-(26,12,16920) |

2381 5-(24,12,23712) (complement has $\lambda=26676$)

Tran van Trung construction with supplementary design for design number 2378 |

Alltop construction for design number 2380 |

5851 5-(25,12,23760) (complement has $\lambda=53760$)

design of number 5849 with respect to smaller t |

derived from number 5854 |

5854 6-(26,13,23760) (complement has $\lambda=53760$)

Tran van Trung construction with supplementary design for design number 5849 |

design of number 5855 with respect to smaller t |

6676 5-(27,13,23760) (complement has $\lambda=296010$)

design of number 6674 with respect to smaller t |

derived from number 6679 |

6679 6-(28,14,23760) (complement has $\lambda=296010$)

Tran van Trung construction with supplementary design for design number 6674 |

design of number 6680 with respect to smaller t |

6182 5-(24,12,23790) (complement has $\lambda=26598$)

residual design of number 6178 |

derived from number 6179 |

Alltop construction for design number 6192 |

6179 6-(25,13,23790) (complement has $\lambda=26598$)

supplementary design of number 6178 |

residual design of number 6184 |

5709 5-(24,12,23826) (complement has $\lambda=26562$)

design of number 5708 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5710 |

Alltop construction for design number 5713 |

5719 5-(24,12,23940) (complement has $\lambda=26448$)

design of number 5718 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5720 |

Alltop construction for design number 5723 |

6566 5-(26,12,23940) (complement has $\lambda=92340$)

residual design of number 6563 |

design of number 8647 with respect to smaller t |

11058 5-(26,13,23940) (complement has $\lambda=179550$)

Alltop construction for design number 11055 |

Tran van Trung construction with supplementary design for design number 11072 |

7761 5-(40,9,23940) (complement has $\lambda=28420$)

design of number 7760 with respect to smaller t |

7771 5-(40,9,24010) (complement has $\lambda=28350$)

design of number 7770 with respect to smaller t |

6202 5-(24,12,24024) (complement has $\lambda=26364$)

residual design of number 6198 |

derived from number 6199 |

Alltop construction for design number 6208 |

6199 6-(25,13,24024) (complement has $\lambda=26364$)

supplementary design of number 6198 |

residual design of number 6204 |

6522 5-(26,11,24024) (complement has $\lambda=30240$)

residual design of number 6519 |

derived from number 6629 |

design of number 7952 with respect to smaller t |

6629 6-(27,12,24024) (complement has $\lambda=30240$)

TvT: 6-(26,11,6864) $\cup$ 6-(26,12,17160) |

derived from number 8911 |

design of number 11549 with respect to smaller t |

residual design of number 11550 |

8911 7-(28,13,24024) (complement has $\lambda=30240$)

$Sp(6,2)$ 59 isomorphism types |

5728 5-(24,12,24054) (complement has $\lambda=26334$)

design of number 5727 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5729 |

Alltop construction for design number 5732 |

5877 5-(24,13,24102) (complement has $\lambda=51480$)

residual design of number 5870 |

9303 5-(31,10,24180) (complement has $\lambda=41600$)

design of number 9300 with respect to smaller t |

6530 5-(26,11,24192) (complement has $\lambda=30072$)

residual design of number 6527 |

design of number 8531 with respect to smaller t |

6434 5-(27,11,24255) (complement has $\lambda=50358$)

design of number 6433 with respect to smaller t |

derived from number 7006 |

7006 6-(28,12,24255) (complement has $\lambda=50358$)

TvT: 6-(27,11,6615) $\cup$ 6-(27,12,17640) |

5650 5-(24,12,24282) (complement has $\lambda=26106$)

Tran van Trung construction with supplementary design for design number 5640 |

design of number 5643 with respect to smaller t |

Alltop construction for design number 5647 |

4559 5-(29,15,24288) (complement has $\lambda=1936968$)

supplementary design of number 4558 |

6576 5-(26,12,24300) (complement has $\lambda=91980$)

residual design of number 6573 |

10474 5-(38,10,24360) (complement has $\lambda=212976$)

residual design of number 10468 |

5895 5-(24,13,24453) (complement has $\lambda=51129$)

residual design of number 5890 |

6539 5-(26,11,24528) (complement has $\lambda=29736$)

residual design of number 6536 |

design of number 8538 with respect to smaller t |

7501 5-(30,10,24570) (complement has $\lambda=28560$)

design of number 7500 with respect to smaller t |

11146 5-(24,12,24624) (complement has $\lambda=25764$)

Alltop construction for design number 11143 |

6216 5-(24,12,24648) (complement has $\lambda=25740$)

residual design of number 6212 |

derived from number 6213 |

Alltop construction for design number 6226 |

6213 6-(25,13,24648) (complement has $\lambda=25740$)

supplementary design of number 6212 |

residual design of number 6218 |

9857 5-(34,10,24675) (complement has $\lambda=94080$)

residual design of number 9851 |

derived from number 9852 |

9852 6-(35,11,24675) (complement has $\lambda=94080$)

residual design of number 9849 |

6443 5-(27,11,24717) (complement has $\lambda=49896$)

design of number 6442 with respect to smaller t |

derived from number 7009 |

7009 6-(28,12,24717) (complement has $\lambda=49896$)

TvT: 6-(27,11,6741) $\cup$ 6-(27,12,17976) |

design of number 8830 with respect to smaller t |

5871 5-(25,12,24720) (complement has $\lambda=52800$)

design of number 5869 with respect to smaller t |

derived from number 5874 |

5874 6-(26,13,24720) (complement has $\lambda=52800$)

Tran van Trung construction with supplementary design for design number 5869 |

design of number 5875 with respect to smaller t |

8740 5-(26,11,24780) (complement has $\lambda=29484$)

derived from number 8736 |

design of number 8737 with respect to smaller t |

8736 6-(27,12,24780) (complement has $\lambda=29484$)

design of number 8735 with respect to smaller t |

7504 5-(30,10,24780) (complement has $\lambda=28350$)

design of number 7503 with respect to smaller t |

6235 5-(24,12,24882) (complement has $\lambda=25506$)

residual design of number 6231 |

derived from number 6232 |

Alltop construction for design number 6245 |

6232 6-(25,13,24882) (complement has $\lambda=25506$)

supplementary design of number 6231 |

residual design of number 6237 |

8611 5-(26,13,24885) (complement has $\lambda=178605$)

Tran van Trung construction with supplementary design for design number 8599 |

Alltop construction for design number 8605 |

8764 5-(26,11,24948) (complement has $\lambda=29316$)

derived from number 8760 |

design of number 8761 with respect to smaller t |

6452 5-(27,11,24948) (complement has $\lambda=49665$)

design of number 6451 with respect to smaller t |

derived from number 7010 |

8760 6-(27,12,24948) (complement has $\lambda=29316$)

design of number 8759 with respect to smaller t |

7010 6-(28,12,24948) (complement has $\lambda=49665$)

TvT: 6-(27,11,6804) $\cup$ 6-(27,12,18144) |

design of number 8831 with respect to smaller t |

derived from number 11600 |

11600 7-(29,13,24948) (complement has $\lambda=49665$)

TvT: 7-(28,12,6804) $\cup$ 7-(28,13,18144) |

7977 5-(24,12,25038) (complement has $\lambda=25350$)

Alltop construction for design number 7975 |

5738 5-(24,12,25080) (complement has $\lambda=25308$)

design of number 5737 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 5739 |

Alltop construction for design number 5742 |

5891 5-(25,12,25080) (complement has $\lambda=52440$)

design of number 5889 with respect to smaller t |

derived from number 5892 |

5892 6-(26,13,25080) (complement has $\lambda=52440$)

Tran van Trung construction with supplementary design for design number 5889 |

design of number 5893 with respect to smaller t |

7987 5-(24,12,25116) (complement has $\lambda=25272$)

residual design of number 7981 |

derived from number 7986 |

Alltop construction for design number 7994 |

7986 6-(25,13,25116) (complement has $\lambda=25272$)

supplementary design of number 7981 |

residual design of number 7989 |

2388 5-(24,12,25194) (selfcomplementary)

Tran van Trung construction with supplementary design for design number 2385 |

Alltop construction for design number 2387 |

design of number 2389 with respect to smaller t |

complementary design of number 2389 with respect to smaller t |

reduced 6-(24,12,9282) Halving of the complete design |

8551 5-(26,11,25200) (complement has $\lambda=29064$)

residual design of number 8546 |

design of number 8548 with respect to smaller t |

derived from number 8913 |

8913 6-(27,12,25200) (complement has $\lambda=29064$)

derived from number 8912 |

8912 7-(28,13,25200) (complement has $\lambda=29064$)

$Sp(6,2)$ 16 isomorphism types |

9877 5-(34,10,25200) (complement has $\lambda=93555$)

residual design of number 9871 |

derived from number 9872 |

9814 5-(35,10,25200) (complement has $\lambda=117306$)

derived from number 9810 |

design of number 9811 with respect to smaller t |

9872 6-(35,11,25200) (complement has $\lambda=93555$)

residual design of number 9869 |

9810 6-(36,11,25200) (complement has $\lambda=117306$)

design of number 9809 with respect to smaller t |

10512 5-(24,13,25272) (complement has $\lambda=50310$)

residual design of number 10506 |

5910 5-(24,13,25389) (complement has $\lambda=50193$)

residual design of number 5903 |

8366 5-(27,11,25410) (complement has $\lambda=49203$)

design of number 8363 with respect to smaller t |

7510 5-(30,10,25410) (complement has $\lambda=27720$)

design of number 7509 with respect to smaller t |

10541 5-(24,14,25454) (complement has $\lambda=66924$)

residual design of number 10533 |

6653 5-(26,13,25515) (complement has $\lambda=177975$)

Alltop construction for design number 6651 |

Tran van Trung construction with supplementary design for design number 8620 |

3924 5-(26,11,25536) (complement has $\lambda=28728$)

TvT: 5-(25,10,7296) $\cup$ 5-(25,11,18240) |

residual design of number 6546 |

design of number 8564 with respect to smaller t |

8683 5-(25,12,25680) (complement has $\lambda=51840$)

residual design of number 8682 |

6551 5-(26,11,25704) (complement has $\lambda=28560$)

residual design of number 6549 |

design of number 8566 with respect to smaller t |

5930 5-(24,13,25740) (complement has $\lambda=49842$)

residual design of number 5923 |

10573 5-(24,14,25740) (complement has $\lambda=66638$)

residual design of number 10565 |

720 5-(27,13,25740) (complement has $\lambda=294030$)

TvT: 5-(26,12,9360) $\cup$ 5-(26,13,16380) |

7591 5-(31,10,25740) (complement has $\lambda=40040$)

design of number 7590 with respect to smaller t |

residual design of number 7652 |

7519 5-(30,10,25830) (complement has $\lambda=27300$)

design of number 7518 with respect to smaller t |

3927 5-(26,11,25872) (complement has $\lambda=28392$)

TvT: 5-(25,10,7392) $\cup$ 5-(25,11,18480) |

8689 5-(25,12,25920) (complement has $\lambda=51600$)

residual design of number 8688 |

design of number 10503 with respect to smaller t |

derived from number 10508 |

10508 6-(26,13,25920) (complement has $\lambda=51600$)

Tran van Trung construction with supplementary design for design number 10503 |

design of number 10509 with respect to smaller t |

residual design of number 11594 |

derived from number 11595 |

11595 7-(27,14,25920) (complement has $\lambda=51600$)

supplementary design of number 11594 |

7782 5-(80,8,25920) (complement has $\lambda=41605$)

derived from number 7780 |

7780 6-(81,9,25920) (complement has $\lambda=41605$)

$ASL(4,3)$ |

8654 5-(25,13,25935) (complement has $\lambda=100035$)

supplementary design of number 8650 |

9322 5-(31,10,26000) (complement has $\lambda=39780$)

design of number 9319 with respect to smaller t |

5904 5-(25,12,26040) (complement has $\lambda=51480$)

design of number 5902 with respect to smaller t |

derived from number 5907 |

6558 5-(26,11,26040) (complement has $\lambda=28224$)

residual design of number 6555 |

design of number 8571 with respect to smaller t |

5907 6-(26,13,26040) (complement has $\lambda=51480$)

Tran van Trung construction with supplementary design for design number 5902 |

design of number 5908 with respect to smaller t |

9385 5-(32,10,26082) (complement has $\lambda=54648$)

residual design of number 9381 |

design of number 9383 with respect to smaller t |

3991 5-(27,11,26334) (complement has $\lambda=48279$)

TvT: 5-(26,10,7182) $\cup$ 5-(26,11,19152) |

design of number 6459 with respect to smaller t |

9897 5-(34,10,26355) (complement has $\lambda=92400$)

residual design of number 9891 |

derived from number 9892 |

9892 6-(35,11,26355) (complement has $\lambda=92400$)

residual design of number 9889 |

5924 5-(25,12,26400) (complement has $\lambda=51120$)

design of number 5922 with respect to smaller t |

derived from number 5927 |

5927 6-(26,13,26400) (complement has $\lambda=51120$)

Tran van Trung construction with supplementary design for design number 5922 |

design of number 5928 with respect to smaller t |

7522 5-(30,10,26460) (complement has $\lambda=26670$)

design of number 7521 with respect to smaller t |

residual design of number 7598 |

6632 5-(26,11,26544) (complement has $\lambda=27720$)

derived from number 6631 |

design of number 7958 with respect to smaller t |

6631 6-(27,12,26544) (complement has $\lambda=27720$)

TvT: 6-(26,11,7584) $\cup$ 6-(26,12,18960) |

derived from number 8924 |

8924 7-(28,13,26544) (complement has $\lambda=27720$)

$Sp(6,2)$ 33 isomorphism types |

6320 5-(26,11,26712) (complement has $\lambda=27552$)

residual design of number 6317 |

design of number 8580 with respect to smaller t |

6463 5-(27,11,26796) (complement has $\lambda=47817$)

design of number 6462 with respect to smaller t |

9917 5-(34,10,26880) (complement has $\lambda=91875$)

residual design of number 9911 |

derived from number 9912 |

9912 6-(35,11,26880) (complement has $\lambda=91875$)

residual design of number 9909 |

11201 5-(27,12,26928) (complement has $\lambda=143616$)

TvT: 5-(26,11,8568) $\cup$ 5-(26,12,18360) |

7967 5-(26,11,26964) (complement has $\lambda=27300$)

design of number 7964 with respect to smaller t |

5950 5-(24,13,27027) (complement has $\lambda=48555$)

residual design of number 5943 |

8392 5-(27,11,27027) (complement has $\lambda=47586$)

design of number 8389 with respect to smaller t |

3929 5-(26,11,27048) (complement has $\lambda=27216$)

TvT: 5-(25,10,7728) $\cup$ 5-(25,11,19320) |

residual design of number 6326 |

derived from number 6634 |

design of number 8587 with respect to smaller t |

6634 6-(27,12,27048) (complement has $\lambda=27216$)

\cite{Sebille98} $AGL(3,3)$ |

design of number 8775 with respect to smaller t |

residual design of number 8828 |

derived from number 8925 |

8925 7-(28,13,27048) (complement has $\lambda=27216$)

TvT: 7-(27,12,7728) $\cup$ 7-(27,13,19320) |

703 5-(25,12,27120) (complement has $\lambda=50400$)

TvT: 5-(24,11,9492) $\cup$ 5-(24,12,17628) |

3931 5-(26,11,27132) (selfcomplementary)

TvT: 5-(25,10,7752) $\cup$ 5-(25,11,19380) |

9364 5-(33,10,27216) (complement has $\lambda=71064$)

design of number 9361 with respect to smaller t |

9834 5-(35,10,27216) (complement has $\lambda=115290$)

derived from number 9830 |

design of number 9831 with respect to smaller t |

9830 6-(36,11,27216) (complement has $\lambda=115290$)

design of number 9829 with respect to smaller t |

7593 5-(31,10,27300) (complement has $\lambda=38480$)

design of number 7592 with respect to smaller t |

9402 5-(32,10,27324) (complement has $\lambda=53406$)

residual design of number 9397 |

design of number 9399 with respect to smaller t |

3811 5-(25,12,27360) (complement has $\lambda=50160$)

TvT: 5-(24,11,9576) $\cup$ 5-(24,12,17784) |

5252 5-(34,10,27405) (complement has $\lambda=91350$)

TvT: 5-(33,9,4725) $\cup$ 5-(33,10,22680) |

5170 5-(31,10,27456) (complement has $\lambda=38324$)

residual design of number 5167 |

6473 5-(27,11,27489) (complement has $\lambda=47124$)

design of number 6472 with respect to smaller t |

residual design of number 7003 |

5944 5-(25,12,27720) (complement has $\lambda=49800$)

design of number 5942 with respect to smaller t |

derived from number 5947 |

5947 6-(26,13,27720) (complement has $\lambda=49800$)

Tran van Trung construction with supplementary design for design number 5942 |

design of number 5948 with respect to smaller t |

6655 5-(27,12,27984) (complement has $\lambda=142560$)

design of number 6654 with respect to smaller t |

6717 5-(26,12,28080) (complement has $\lambda=88200$)

derived from number 6714 |

6714 6-(27,13,28080) (complement has $\lambda=88200$)

$ASL(3,3)$ |

derived from number 6720 |

6720 7-(28,14,28080) (complement has $\lambda=88200$)

Alltop construction for design number 6714 |

5180 5-(31,10,28116) (complement has $\lambda=37664$)

residual design of number 5177 |

11112 5-(27,13,28215) (complement has $\lambda=291555$)

TvT: 5-(26,12,10260) $\cup$ 5-(26,13,17955) |

5970 5-(24,13,28314) (complement has $\lambda=47268$)

residual design of number 5963 |

6477 5-(27,11,28413) (complement has $\lambda=46200$)

design of number 6476 with respect to smaller t |

6665 5-(27,12,28512) (complement has $\lambda=142032$)

design of number 6664 with respect to smaller t |

residual design of number 11289 |

5158 5-(32,10,28512) (complement has $\lambda=52218$)

design of number 5157 with respect to smaller t |

10471 5-(39,10,28560) (complement has $\lambda=249696$)

residual design of number 10466 |

design of number 10468 with respect to smaller t |

6589 5-(26,12,28800) (complement has $\lambda=87480$)

residual design of number 6586 |

design of number 8658 with respect to smaller t |

8427 5-(27,11,28875) (complement has $\lambda=45738$)

design of number 8424 with respect to smaller t |

9937 5-(34,10,28875) (complement has $\lambda=89880$)

residual design of number 9931 |

derived from number 9932 |

9932 6-(35,11,28875) (complement has $\lambda=89880$)

residual design of number 9929 |

5964 5-(25,12,29040) (complement has $\lambda=48480$)

design of number 5962 with respect to smaller t |

derived from number 5967 |

5967 6-(26,13,29040) (complement has $\lambda=48480$)

Tran van Trung construction with supplementary design for design number 5962 |

design of number 5968 with respect to smaller t |

8441 5-(27,11,29106) (complement has $\lambda=45507$)

design of number 8438 with respect to smaller t |

7596 5-(31,10,29120) (complement has $\lambda=36660$)

design of number 7595 with respect to smaller t |

8702 5-(25,12,29160) (complement has $\lambda=48360$)

residual design of number 8696 |

6598 5-(26,12,29160) (complement has $\lambda=87120$)

residual design of number 6596 |

design of number 8664 with respect to smaller t |

7792 5-(80,8,29160) (complement has $\lambda=38365$)

derived from number 7790 |

7790 6-(81,9,29160) (complement has $\lambda=38365$)

$ASL(4,3)$ |

5990 5-(24,13,29250) (complement has $\lambda=46332$)

residual design of number 5983 |

9196 5-(28,11,29394) (complement has $\lambda=71553$)

residual design of number 9191 |

design of number 9193 with respect to smaller t |

9957 5-(34,10,29400) (complement has $\lambda=89355$)

residual design of number 9951 |

derived from number 9952 |

9952 6-(35,11,29400) (complement has $\lambda=89355$)

residual design of number 9949 |

6487 5-(27,11,29568) (complement has $\lambda=45045$)

design of number 6486 with respect to smaller t |

derived from number 7011 |

7011 6-(28,12,29568) (complement has $\lambda=45045$)

TvT: 6-(27,11,8064) $\cup$ 6-(27,12,21504) |

design of number 11561 with respect to smaller t |

derived from number 11562 |

11562 7-(29,13,29568) (complement has $\lambda=45045$)

TvT: 7-(28,12,8064) $\cup$ 7-(28,13,21504) |

6010 5-(24,13,29601) (complement has $\lambda=45981$)

residual design of number 6003 |

9854 5-(35,10,29610) (complement has $\lambda=112896$)

derived from number 9850 |

design of number 9851 with respect to smaller t |

9850 6-(36,11,29610) (complement has $\lambda=112896$)

design of number 9849 with respect to smaller t |

8795 5-(25,12,29640) (complement has $\lambda=47880$)

residual design of number 8791 |

derived from number 8792 |

8792 6-(26,13,29640) (complement has $\lambda=47880$)

residual design of number 8789 |

derived from number 8790 |

8790 7-(27,14,29640) (complement has $\lambda=47880$)

supplementary design of number 8789 |

6737 5-(26,12,29700) (complement has $\lambda=86580$)

derived from number 6734 |

6734 6-(27,13,29700) (complement has $\lambda=86580$)

$ASL(3,3)$ |

derived from number 6740 |

6740 7-(28,14,29700) (complement has $\lambda=86580$)

Alltop construction for design number 6734 |

10597 5-(24,13,29952) (complement has $\lambda=45630$)

residual design of number 10594 |

derived from number 10596 |

10596 6-(25,14,29952) (complement has $\lambda=45630$)

residual design of number 10590 |

5984 5-(25,12,30000) (complement has $\lambda=47520$)

design of number 5982 with respect to smaller t |

derived from number 5987 |

5987 6-(26,13,30000) (complement has $\lambda=47520$)

Tran van Trung construction with supplementary design for design number 5982 |

design of number 5988 with respect to smaller t |

5190 5-(31,10,30228) (complement has $\lambda=35552$)

residual design of number 5187 |

8953 5-(26,12,30240) (complement has $\lambda=86040$)

derived from number 8948 |

853 5-(26,13,30240) (complement has $\lambda=173250$)

Tran van Trung construction with supplementary design for design number 848 |

Alltop construction for design number 850 |

8948 6-(27,13,30240) (complement has $\lambda=86040$)

derived from number 8946 |

8946 7-(28,14,30240) (complement has $\lambda=86040$)

$Sp(6,2)$ |

Alltop construction for design number 8948 |

9874 5-(35,10,30240) (complement has $\lambda=112266$)

derived from number 9870 |

design of number 9871 with respect to smaller t |

9870 6-(36,11,30240) (complement has $\lambda=112266$)

design of number 9869 with respect to smaller t |

6004 5-(25,12,30360) (complement has $\lambda=47160$)

design of number 6002 with respect to smaller t |

derived from number 6007 |

6007 6-(26,13,30360) (complement has $\lambda=47160$)

Tran van Trung construction with supplementary design for design number 6002 |

design of number 6008 with respect to smaller t |

6757 5-(26,12,30420) (complement has $\lambda=85860$)

derived from number 6754 |

design of number 8778 with respect to smaller t |

6754 6-(27,13,30420) (complement has $\lambda=85860$)

\cite{Sebille98} $AGL(3,3)$ |

derived from number 6760 |

design of number 8776 with respect to smaller t |

6760 7-(28,14,30420) (complement has $\lambda=85860$)

Alltop construction for design number 6754 |

Tran van Trung construction with supplementary design for design number 8776 |

\cite{Sebille98} $AGL(3,3)+$ |

6495 5-(27,11,30492) (complement has $\lambda=44121$)

design of number 6494 with respect to smaller t |

6030 5-(24,13,30537) (complement has $\lambda=45045$)

residual design of number 6023 |

9977 5-(34,10,30555) (complement has $\lambda=88200$)

residual design of number 9971 |

derived from number 9972 |

9972 6-(35,11,30555) (complement has $\lambda=88200$)

residual design of number 9969 |

821 5-(25,12,30720) (complement has $\lambda=46800$)

TvT: 5-(24,11,10752) $\cup$ 5-(24,12,19968) |

residual design of number 10591 |

derived from number 10592 |

design of number 10593 with respect to smaller t |

10592 6-(26,13,30720) (complement has $\lambda=46800$)

residual design of number 10584 |

design of number 10586 with respect to smaller t |

derived from number 10589 |

Tran van Trung construction with supplementary design for design number 10593 |

10589 7-(27,14,30720) (complement has $\lambda=46800$)

design of number 10583 with respect to smaller t |

supplementary design of number 10584 |

residual design of number 10587 |

6050 5-(24,13,30888) (complement has $\lambda=44694$)

residual design of number 6043 |

8473 5-(27,11,30954) (complement has $\lambda=43659$)

design of number 8470 with respect to smaller t |

derived from number 11294 |

11294 6-(28,12,30954) (complement has $\lambda=43659$)

TvT: 6-(27,11,8442) $\cup$ 6-(27,12,22512) |

design of number 11333 with respect to smaller t |

9997 5-(34,10,31080) (complement has $\lambda=87675$)

residual design of number 9991 |

derived from number 9992 |

9992 6-(35,11,31080) (complement has $\lambda=87675$)

residual design of number 9989 |

6502 5-(27,11,31185) (complement has $\lambda=43428$)

design of number 6501 with respect to smaller t |

derived from number 7012 |

7012 6-(28,12,31185) (complement has $\lambda=43428$)

TvT: 6-(27,11,8505) $\cup$ 6-(27,12,22680) |

design of number 8832 with respect to smaller t |

derived from number 9214 |

9214 7-(29,13,31185) (complement has $\lambda=43428$)

TvT: 7-(28,12,8505) $\cup$ 7-(28,13,22680) |

8660 5-(25,13,31200) (complement has $\lambda=94770$)

supplementary design of number 8659 |

6024 5-(25,12,31320) (complement has $\lambda=46200$)

design of number 6022 with respect to smaller t |

derived from number 6027 |

6027 6-(26,13,31320) (complement has $\lambda=46200$)

Tran van Trung construction with supplementary design for design number 6022 |

design of number 6028 with respect to smaller t |

8666 5-(25,13,31590) (complement has $\lambda=94380$)

supplementary design of number 8665 |

5018 5-(32,10,31590) (complement has $\lambda=49140$)

TvT: 5-(31,9,5850) $\cup$ 5-(31,10,25740) |

design of number 7652 with respect to smaller t |

9894 5-(35,10,31626) (complement has $\lambda=110880$)

derived from number 9890 |

design of number 9891 with respect to smaller t |

9890 6-(36,11,31626) (complement has $\lambda=110880$)

design of number 9889 with respect to smaller t |

6510 5-(27,11,31647) (complement has $\lambda=42966$)

design of number 6509 with respect to smaller t |

6044 5-(25,12,31680) (complement has $\lambda=45840$)

design of number 6042 with respect to smaller t |

derived from number 6047 |

6047 6-(26,13,31680) (complement has $\lambda=45840$)

Tran van Trung construction with supplementary design for design number 6042 |

design of number 6048 with respect to smaller t |

8837 5-(27,12,31680) (complement has $\lambda=138864$)

derived from number 8834 |

design of number 8835 with respect to smaller t |

residual design of number 11290 |

8834 6-(28,13,31680) (complement has $\lambda=138864$)

design of number 8833 with respect to smaller t |

derived from number 9216 |

9216 7-(29,14,31680) (complement has $\lambda=138864$)

TvT: 7-(28,13,10080) $\cup$ 7-(28,14,21600) |

4198 5-(33,10,31752) (complement has $\lambda=66528$)

residual design of number 4195 |

design of number 9381 with respect to smaller t |

6066 5-(24,13,31824) (complement has $\lambda=43758$)

residual design of number 6059 |

7802 5-(80,8,31885) (complement has $\lambda=35640$)

derived from number 7800 |

7800 6-(81,9,31885) (complement has $\lambda=35640$)

$ASL(4,3)$ |

8973 5-(26,12,32040) (complement has $\lambda=84240$)

derived from number 8968 |

design of number 10527 with respect to smaller t |

residual design of number 11640 |

8968 6-(27,13,32040) (complement has $\lambda=84240$)

derived from number 8966 |

design of number 10520 with respect to smaller t |

8966 7-(28,14,32040) (complement has $\lambda=84240$)

red 8-(28,14,10680) |

Alltop construction for design number 8968 |

Tran van Trung construction with supplementary design for design number 10520 |

design of number 10523 with respect to smaller t |

6698 5-(26,13,32130) (complement has $\lambda=171360$)

residual design of number 6694 |

derived from number 6695 |

Alltop construction for design number 6708 |

6695 6-(27,14,32130) (complement has $\lambda=171360$)

supplementary design of number 6694 |

residual design of number 6700 |

8722 5-(25,12,32160) (complement has $\lambda=45360$)

residual design of number 8720 |

6086 5-(24,13,32175) (complement has $\lambda=43407$)

residual design of number 6079 |

9914 5-(35,10,32256) (complement has $\lambda=110250$)

derived from number 9910 |

design of number 9911 with respect to smaller t |

9910 6-(36,11,32256) (complement has $\lambda=110250$)

design of number 9909 with respect to smaller t |

8731 5-(25,12,32400) (complement has $\lambda=45120$)

residual design of number 8730 |

6772 5-(26,12,32400) (complement has $\lambda=83880$)

derived from number 6770 |

residual design of number 8853 |

design of number 10559 with respect to smaller t |

6770 6-(27,13,32400) (complement has $\lambda=83880$)

$ASL(3,3)$ |

derived from number 6775 |

residual design of number 8852 |

design of number 10552 with respect to smaller t |

6775 7-(28,14,32400) (complement has $\lambda=83880$)

Alltop construction for design number 6770 |

Alltop |

Tran van Trung construction with supplementary design for design number 10552 |

design of number 10555 with respect to smaller t |

8510 5-(27,11,32571) (complement has $\lambda=42042$)

design of number 8507 with respect to smaller t |

derived from number 11559 |

11559 6-(28,12,32571) (complement has $\lambda=42042$)

TvT: 6-(27,11,8883) $\cup$ 6-(27,12,23688) |

6060 5-(25,12,32640) (complement has $\lambda=44880$)

design of number 6058 with respect to smaller t |

derived from number 6063 |

6063 6-(26,13,32640) (complement has $\lambda=44880$)

Tran van Trung construction with supplementary design for design number 6058 |

design of number 6064 with respect to smaller t |

5200 5-(31,10,32736) (complement has $\lambda=33044$)

residual design of number 5197 |

8992 5-(26,12,32760) (complement has $\lambda=83520$)

derived from number 8987 |

8987 6-(27,13,32760) (complement has $\lambda=83520$)

derived from number 8985 |

8985 7-(28,14,32760) (complement has $\lambda=83520$)

$Sp(6,2)$ |

Alltop construction for design number 8987 |

7599 5-(31,10,32760) (complement has $\lambda=33020$)

design of number 7598 with respect to smaller t |

5274 5-(35,10,32886) (complement has $\lambda=109620$)

TvT: 5-(34,9,5481) $\cup$ 5-(34,10,27405) |

8783 5-(25,13,32955) (complement has $\lambda=93015$)

residual design of number 8779 |

derived from number 8780 |

supplementary design of number 8782 |

8780 6-(26,14,32955) (complement has $\lambda=93015$)

residual design of number 8777 |

10624 5-(24,13,32994) (complement has $\lambda=42588$)

residual design of number 10616 |

derived from number 10618 |

10618 6-(25,14,32994) (complement has $\lambda=42588$)

residual design of number 10611 |

6080 5-(25,12,33000) (complement has $\lambda=44520$)

design of number 6078 with respect to smaller t |

derived from number 6083 |

6083 6-(26,13,33000) (complement has $\lambda=44520$)

Tran van Trung construction with supplementary design for design number 6078 |

design of number 6084 with respect to smaller t |

6520 5-(27,11,33033) (complement has $\lambda=41580$)

design of number 6519 with respect to smaller t |

derived from number 7013 |

7013 6-(28,12,33033) (complement has $\lambda=41580$)

TvT: 6-(27,11,9009) $\cup$ 6-(27,12,24024) |

design of number 11550 with respect to smaller t |

derived from number 11551 |

11551 7-(29,13,33033) (complement has $\lambda=41580$)

TvT: 7-(28,12,9009) $\cup$ 7-(28,13,24024) |

10017 5-(34,10,33075) (complement has $\lambda=85680$)

residual design of number 10011 |

derived from number 10012 |

10012 6-(35,11,33075) (complement has $\lambda=85680$)

residual design of number 10009 |

6106 5-(24,13,33111) (complement has $\lambda=42471$)

residual design of number 6099 |

11199 5-(26,12,33120) (complement has $\lambda=83160$)

TvT: 5-(25,11,11040) $\cup$ 5-(25,12,22080) |

6528 5-(27,11,33264) (complement has $\lambda=41349$)

design of number 6527 with respect to smaller t |

9400 5-(33,10,33264) (complement has $\lambda=65016$)

design of number 9397 with respect to smaller t |

10469 5-(40,10,33320) (complement has $\lambda=291312$)

design of number 10466 with respect to smaller t |

6663 5-(26,13,33390) (complement has $\lambda=170100$)

Alltop construction for design number 6661 |

Tran van Trung construction with supplementary design for design number 8632 |

6126 5-(24,13,33462) (complement has $\lambda=42120$)

residual design of number 6119 |

derived from number 10641 |

10641 6-(25,14,33462) (complement has $\lambda=42120$)

residual design of number 10640 |

10037 5-(34,10,33600) (complement has $\lambda=85155$)

residual design of number 10031 |

derived from number 10032 |

10032 6-(35,11,33600) (complement has $\lambda=85155$)

residual design of number 10029 |

5168 5-(32,10,33696) (complement has $\lambda=47034$)

design of number 5167 with respect to smaller t |

6537 5-(27,11,33726) (complement has $\lambda=40887$)

design of number 6536 with respect to smaller t |

10619 5-(25,12,33840) (complement has $\lambda=43680$)

residual design of number 10612 |

derived from number 10613 |

design of number 10615 with respect to smaller t |

10613 6-(26,13,33840) (complement has $\lambda=43680$)

residual design of number 10605 |

design of number 10607 with respect to smaller t |

derived from number 10610 |

Tran van Trung construction with supplementary design for design number 10615 |

10610 7-(27,14,33840) (complement has $\lambda=43680$)

design of number 10604 with respect to smaller t |

supplementary design of number 10605 |

residual design of number 10608 |

6100 5-(25,12,33960) (complement has $\lambda=43560$)

design of number 6098 with respect to smaller t |

derived from number 6103 |

6103 6-(26,13,33960) (complement has $\lambda=43560$)

Tran van Trung construction with supplementary design for design number 6098 |

design of number 6104 with respect to smaller t |

6605 5-(26,12,34020) (complement has $\lambda=82260$)

residual design of number 6602 |

design of number 8671 with respect to smaller t |

6673 5-(26,13,34020) (complement has $\lambda=169470$)

Alltop construction for design number 6671 |

Tran van Trung construction with supplementary design for design number 8641 |

11075 5-(25,12,34200) (complement has $\lambda=43320$)

TvT: 5-(24,11,11970) $\cup$ 5-(24,12,22230) |

6120 5-(25,12,34320) (complement has $\lambda=43200$)

design of number 6118 with respect to smaller t |

derived from number 6123 |

residual design of number 6284 |

6123 6-(26,13,34320) (complement has $\lambda=43200$)

Tran van Trung construction with supplementary design for design number 6118 |

design of number 6124 with respect to smaller t |

residual design of number 8803 |

derived from number 8804 |

8804 7-(27,14,34320) (complement has $\lambda=43200$)

supplementary design of number 8803 |

design of number 10636 with respect to smaller t |

residual design of number 10638 |

6146 5-(24,13,34398) (complement has $\lambda=41184$)

residual design of number 6139 |

4905 5-(32,16,34398) (complement has $\lambda=13003497$)

Tran van Trung construction with supplementary design for design number 4902 |

Alltop construction for design number 4904 |

5178 5-(32,10,34506) (complement has $\lambda=46224$)

design of number 5177 with respect to smaller t |

11511 5-(25,12,34560) (complement has $\lambda=42960$)

TvT: 5-(24,11,12096) $\cup$ 5-(24,12,22464) |

3807 5-(26,13,34650) (complement has $\lambda=168840$)

Tran van Trung construction with supplementary design for design number 3804 |

Alltop construction for design number 3806 |

8549 5-(27,11,34650) (complement has $\lambda=39963$)

design of number 8546 with respect to smaller t |

derived from number 11295 |

11295 6-(28,12,34650) (complement has $\lambda=39963$)

TvT: 6-(27,11,9450) $\cup$ 6-(27,12,25200) |

9934 5-(35,10,34650) (complement has $\lambda=107856$)

derived from number 9930 |

design of number 9931 with respect to smaller t |

9930 6-(36,11,34650) (complement has $\lambda=107856$)

design of number 9929 with respect to smaller t |

10535 5-(25,13,34710) (complement has $\lambda=91260$)

residual design of number 10528 |

design of number 10531 with respect to smaller t |

derived from number 10532 |

supplementary design of number 10534 |

10532 6-(26,14,34710) (complement has $\lambda=91260$)

residual design of number 10525 |

design of number 10526 with respect to smaller t |

6166 5-(24,13,34749) (complement has $\lambda=40833$)

residual design of number 6159 |

10567 5-(25,13,35100) (complement has $\lambda=90870$)

residual design of number 10560 |

design of number 10563 with respect to smaller t |

derived from number 10564 |

supplementary design of number 10566 |

10564 6-(26,14,35100) (complement has $\lambda=90870$)

residual design of number 10557 |

design of number 10558 with respect to smaller t |

3994 5-(27,11,35112) (complement has $\lambda=39501$)

TvT: 5-(26,10,9576) $\cup$ 5-(26,11,25536) |

design of number 6546 with respect to smaller t |

6564 5-(27,12,35112) (complement has $\lambda=135432$)

design of number 6563 with respect to smaller t |

6140 5-(25,12,35280) (complement has $\lambda=42240$)

design of number 6138 with respect to smaller t |

derived from number 6143 |

9011 5-(26,12,35280) (complement has $\lambda=81000$)

derived from number 9007 |

6143 6-(26,13,35280) (complement has $\lambda=42240$)

Tran van Trung construction with supplementary design for design number 6138 |

design of number 6144 with respect to smaller t |

9007 6-(27,13,35280) (complement has $\lambda=81000$)

derived from number 9005 |

9005 7-(28,14,35280) (complement has $\lambda=81000$)

$Sp(6,2)$ |

Alltop construction for design number 9007 |

10057 5-(34,10,35280) (complement has $\lambda=83475$)

residual design of number 10051 |

derived from number 10052 |

9954 5-(35,10,35280) (complement has $\lambda=107226$)

derived from number 9950 |

design of number 9951 with respect to smaller t |

10052 6-(35,11,35280) (complement has $\lambda=83475$)

residual design of number 10049 |

9950 6-(36,11,35280) (complement has $\lambda=107226$)

design of number 9949 with respect to smaller t |

6550 5-(27,11,35343) (complement has $\lambda=39270$)

design of number 6549 with respect to smaller t |

residual design of number 8825 |

8744 5-(25,12,35400) (complement has $\lambda=42120$)

residual design of number 8738 |

6160 5-(25,12,35640) (complement has $\lambda=41880$)

design of number 6158 with respect to smaller t |

derived from number 6163 |

residual design of number 8762 |

9021 5-(26,12,35640) (complement has $\lambda=80640$)

derived from number 9017 |

6163 6-(26,13,35640) (complement has $\lambda=41880$)

Tran van Trung construction with supplementary design for design number 6158 |

design of number 6164 with respect to smaller t |

6574 5-(27,12,35640) (complement has $\lambda=134904$)

design of number 6573 with respect to smaller t |

9017 6-(27,13,35640) (complement has $\lambda=80640$)

derived from number 9015 |

9015 7-(28,14,35640) (complement has $\lambda=80640$)

$Sp(6,2)$ |

Alltop construction for design number 9017 |

6186 5-(24,13,35685) (complement has $\lambda=39897$)

residual design of number 6179 |

6556 5-(27,11,35805) (complement has $\lambda=38808$)

design of number 6555 with respect to smaller t |

5796 5-(25,13,35880) (complement has $\lambda=90090$)

design of number 5790 with respect to smaller t |

supplementary design of number 5791 |

residual design of number 5794 |

11062 5-(26,13,35910) (complement has $\lambda=167580$)

Alltop construction for design number 11059 |

6206 5-(24,13,36036) (complement has $\lambda=39546$)

residual design of number 6199 |

5816 5-(25,13,36465) (complement has $\lambda=89505$)

design of number 5810 with respect to smaller t |

supplementary design of number 5811 |

residual design of number 5814 |

3818 5-(25,12,36480) (complement has $\lambda=41040$)

TvT: 5-(24,11,12768) $\cup$ 5-(24,12,23712) |

6180 5-(25,12,36600) (complement has $\lambda=40920$)

design of number 6178 with respect to smaller t |

derived from number 6183 |

6183 6-(26,13,36600) (complement has $\lambda=40920$)

Tran van Trung construction with supplementary design for design number 6178 |

design of number 6184 with respect to smaller t |

10599 5-(24,14,36608) (complement has $\lambda=55770$)

residual design of number 10596 |

9974 5-(35,10,36666) (complement has $\lambda=105840$)

derived from number 9970 |

design of number 9971 with respect to smaller t |

9970 6-(36,11,36666) (complement has $\lambda=105840$)

design of number 9969 with respect to smaller t |

6318 5-(27,11,36729) (complement has $\lambda=37884$)

design of number 6317 with respect to smaller t |

8678 5-(25,13,36855) (complement has $\lambda=89115$)

supplementary design of number 8674 |

6200 5-(25,12,36960) (complement has $\lambda=40560$)

design of number 6198 with respect to smaller t |

derived from number 6203 |

6203 6-(26,13,36960) (complement has $\lambda=40560$)

Tran van Trung construction with supplementary design for design number 6198 |

design of number 6204 with respect to smaller t |

6681 5-(27,14,36960) (complement has $\lambda=460460$)

design of number 6675 with respect to smaller t |

supplementary design of number 6676 |

residual design of number 6679 |

6220 5-(24,13,36972) (complement has $\lambda=38610$)

residual design of number 6213 |

5188 5-(32,10,37098) (complement has $\lambda=43632$)

design of number 5187 with respect to smaller t |

864 5-(26,13,37170) (complement has $\lambda=166320$)

Tran van Trung construction with supplementary design for design number 859 |

Alltop construction for design number 861 |

6327 5-(27,11,37191) (complement has $\lambda=37422$)

design of number 6326 with respect to smaller t |

derived from number 7014 |

4205 5-(28,11,37191) (complement has $\lambda=63756$)

TvT: 5-(27,10,9702) $\cup$ 5-(27,11,27489) |

design of number 7003 with respect to smaller t |

residual design of number 7075 |

7014 6-(28,12,37191) (complement has $\lambda=37422$)

TvT: 6-(27,11,10143) $\cup$ 6-(27,12,27048) |

design of number 8828 with respect to smaller t |

derived from number 9215 |

9215 7-(29,13,37191) (complement has $\lambda=37422$)

TvT: 7-(28,12,10143) $\cup$ 7-(28,13,27048) |

10077 5-(34,10,37275) (complement has $\lambda=81480$)

residual design of number 10071 |

derived from number 10072 |

10072 6-(35,11,37275) (complement has $\lambda=81480$)

residual design of number 10069 |

9994 5-(35,10,37296) (complement has $\lambda=105210$)

derived from number 9990 |

design of number 9991 with respect to smaller t |

9990 6-(36,11,37296) (complement has $\lambda=105210$)

design of number 9989 with respect to smaller t |

6239 5-(24,13,37323) (complement has $\lambda=38259$)

residual design of number 6232 |

11120 5-(27,13,37620) (complement has $\lambda=282150$)

TvT: 5-(26,12,13680) $\cup$ 5-(26,13,23940) |

7995 5-(24,13,37674) (complement has $\lambda=37908$)

residual design of number 7986 |

8859 5-(26,12,37800) (complement has $\lambda=78480$)

residual design of number 8856 |

derived from number 8857 |

8841 5-(26,13,37800) (complement has $\lambda=165690$)

residual design of number 8836 |

derived from number 8840 |

Alltop construction for design number 8847 |

8857 6-(27,13,37800) (complement has $\lambda=78480$)

residual design of number 8854 |

derived from number 8863 |

8840 6-(27,14,37800) (complement has $\lambda=165690$)

supplementary design of number 8836 |

residual design of number 8843 |

8863 7-(28,14,37800) (complement has $\lambda=78480$)

Alltop construction for design number 8857 |

$Sp(6,2)$ |

10671 5-(33,10,37800) (complement has $\lambda=60480$)

residual design of number 10669 |

derived from number 10670 |

10097 5-(34,10,37800) (complement has $\lambda=80955$)

residual design of number 10091 |

derived from number 10092 |

10670 6-(34,11,37800) (complement has $\lambda=60480$)

residual design of number 10668 |

10092 6-(35,11,37800) (complement has $\lambda=80955$)

residual design of number 10089 |

6214 5-(25,12,37920) (complement has $\lambda=39600$)

design of number 6212 with respect to smaller t |

derived from number 6217 |

residual design of number 6290 |

6217 6-(26,13,37920) (complement has $\lambda=39600$)

Tran van Trung construction with supplementary design for design number 6212 |

design of number 6218 with respect to smaller t |

5836 5-(25,13,38025) (complement has $\lambda=87945$)

design of number 5830 with respect to smaller t |

supplementary design of number 5831 |

residual design of number 5834 |

9032 5-(26,12,38160) (complement has $\lambda=78120$)

derived from number 9027 |

9027 6-(27,13,38160) (complement has $\lambda=78120$)

derived from number 9025 |

9025 7-(28,14,38160) (complement has $\lambda=78120$)

$Sp(6,2)$ |

Alltop construction for design number 9027 |

762 5-(25,13,38220) (complement has $\lambda=87750$)

supplementary design of number 761 |

6233 5-(25,12,38280) (complement has $\lambda=39240$)

design of number 6231 with respect to smaller t |

derived from number 6236 |

6236 6-(26,13,38280) (complement has $\lambda=39240$)

Tran van Trung construction with supplementary design for design number 6231 |

design of number 6237 with respect to smaller t |

4196 5-(34,10,38367) (complement has $\lambda=80388$)

design of number 4195 with respect to smaller t |

TvT: 5-(33,9,6615) $\cup$ 5-(33,10,31752) |

711 5-(25,12,38520) (complement has $\lambda=39000$)

TvT: 5-(24,11,13482) $\cup$ 5-(24,12,25038) |

6614 5-(26,12,38520) (complement has $\lambda=77760$)

residual design of number 6612 |

design of number 8682 with respect to smaller t |

5856 5-(25,13,38610) (complement has $\lambda=87360$)

design of number 5850 with respect to smaller t |

supplementary design of number 5851 |

residual design of number 5854 |

7983 5-(25,12,38640) (complement has $\lambda=38880$)

residual design of number 7979 |

design of number 7981 with respect to smaller t |

derived from number 7988 |

7988 6-(26,13,38640) (complement has $\lambda=38880$)

Tran van Trung construction with supplementary design for design number 7981 |

design of number 7989 with respect to smaller t |

residual design of number 8808 |

derived from number 8809 |

8809 7-(27,14,38640) (complement has $\lambda=38880$)

supplementary design of number 8808 |

11231 5-(28,12,38709) (complement has $\lambda=206448$)

TvT: 5-(27,11,11781) $\cup$ 5-(27,12,26928) |

3825 5-(25,12,38760) (selfcomplementary)

TvT: 5-(24,11,27132) $\cup$ 5-(24,12,25194) Halving of the complete design |

derived from number 3829 |

derived from complement of number 3829 |

3829 6-(26,13,38760) (selfcomplementary)

Alltop construction for design number 3825 |

Alltop : 5-(25,12,38760) Halving of the complete design |

6620 5-(26,12,38880) (complement has $\lambda=77400$)

residual design of number 6618 |

design of number 8688 with respect to smaller t |

derived from number 11586 |

11586 6-(27,13,38880) (complement has $\lambda=77400$)

TvT: 6-(26,12,12960) $\cup$ 6-(26,13,25920) |

derived from number 11589 |

design of number 11594 with respect to smaller t |

residual design of number 11599 |

11589 7-(28,14,38880) (complement has $\lambda=77400$)

Alltop construction for design number 11586 |

Tran van Trung construction with supplementary design for design number 11594 |

10117 5-(34,10,38955) (complement has $\lambda=79800$)

residual design of number 10111 |

derived from number 10112 |

10112 6-(35,11,38955) (complement has $\lambda=79800$)

residual design of number 10109 |

11206 5-(27,13,39105) (complement has $\lambda=280665$)

TvT: 5-(26,12,14220) $\cup$ 5-(26,13,24885) |

9194 5-(29,11,39192) (complement has $\lambda=95404$)

design of number 9191 with respect to smaller t |

6783 5-(26,12,39420) (complement has $\lambda=76860$)

derived from number 6780 |

6780 6-(27,13,39420) (complement has $\lambda=76860$)

$ASL(3,3)$ |

derived from number 6786 |

6786 7-(28,14,39420) (complement has $\lambda=76860$)

Alltop construction for design number 6780 |

770 5-(28,13,39468) (complement has $\lambda=450846$)

TvT: 5-(27,12,13728) $\cup$ 5-(27,13,25740) |

10137 5-(34,10,39480) (complement has $\lambda=79275$)

residual design of number 10131 |

derived from number 10132 |

10132 6-(35,11,39480) (complement has $\lambda=79275$)

residual design of number 10129 |

11200 5-(26,12,39600) (complement has $\lambda=76680$)

TvT: 5-(25,11,13200) $\cup$ 5-(25,12,26400) |

123 5-(27,12,39600) (complement has $\lambda=130944$)

derived from number 121 |

121 6-(28,13,39600) (complement has $\lambda=130944$)

$Sp(6,2)$ |

10014 5-(35,10,39690) (complement has $\lambda=102816$)

derived from number 10010 |

design of number 10011 with respect to smaller t |

10010 6-(36,11,39690) (complement has $\lambda=102816$)

design of number 10009 with respect to smaller t |

721 5-(27,14,40040) (complement has $\lambda=457380$)

supplementary design of number 720 |

626 5-(27,13,40095) (complement has $\lambda=279675$)

TvT: 5-(26,12,14580) $\cup$ 5-(26,13,25515) |

5876 5-(25,13,40170) (complement has $\lambda=85800$)

design of number 5870 with respect to smaller t |

supplementary design of number 5871 |

residual design of number 5874 |

5198 5-(32,10,40176) (complement has $\lambda=40554$)

design of number 5197 with respect to smaller t |

9052 5-(26,12,40320) (complement has $\lambda=75960$)

derived from number 9047 |

8934 5-(26,13,40320) (complement has $\lambda=163170$)

residual design of number 8928 |

derived from number 8929 |

Alltop construction for design number 8943 |

9047 6-(27,13,40320) (complement has $\lambda=75960$)

derived from number 9045 |

8929 6-(27,14,40320) (complement has $\lambda=163170$)

residual design of number 8926 |

supplementary design of number 8928 |

9045 7-(28,14,40320) (complement has $\lambda=75960$)

$Sp(6,2)$ |

Alltop construction for design number 9047 |

10034 5-(35,10,40320) (complement has $\lambda=102186$)

derived from number 10030 |

design of number 10031 with respect to smaller t |

10030 6-(36,11,40320) (complement has $\lambda=102186$)

design of number 10029 with respect to smaller t |

10626 5-(24,14,40326) (complement has $\lambda=52052$)

residual design of number 10618 |

4561 5-(30,15,40480) (complement has $\lambda=3228280$)

Tran van Trung construction with supplementary design for design number 4558 |

Alltop construction for design number 4560 |

8874 5-(26,12,40680) (complement has $\lambda=75600$)

residual design of number 8872 |

derived from number 8873 |

8873 6-(27,13,40680) (complement has $\lambda=75600$)

residual design of number 8871 |

derived from number 8877 |

8877 7-(28,14,40680) (complement has $\lambda=75600$)

Alltop construction for design number 8873 |

$Sp(6,2)$ |

5894 5-(25,13,40755) (complement has $\lambda=85215$)

design of number 5890 with respect to smaller t |

supplementary design of number 5891 |

residual design of number 5892 |

10642 5-(24,14,40898) (complement has $\lambda=51480$)

residual design of number 10641 |

11232 5-(28,12,40986) (complement has $\lambda=204171$)

TvT: 5-(27,11,12474) $\cup$ 5-(27,12,28512) |

design of number 11289 with respect to smaller t |

3937 5-(26,12,41040) (complement has $\lambda=75240$)

TvT: 5-(25,11,13680) $\cup$ 5-(25,12,27360) |

11202 5-(27,12,41184) (complement has $\lambda=129360$)

TvT: 5-(26,11,13104) $\cup$ 5-(26,12,28080) |

10157 5-(34,10,41475) (complement has $\lambda=77280$)

residual design of number 10151 |

derived from number 10152 |

10152 6-(35,11,41475) (complement has $\lambda=77280$)

residual design of number 10149 |

8684 5-(25,13,41730) (complement has $\lambda=84240$)

supplementary design of number 8683 |

6572 5-(26,13,41895) (complement has $\lambda=161595$)

Alltop construction for design number 6570 |

Tran van Trung construction with supplementary design for design number 8650 |

10177 5-(34,10,42000) (complement has $\lambda=76755$)

residual design of number 10171 |

derived from number 10172 |

10172 6-(35,11,42000) (complement has $\lambda=76755$)

residual design of number 10169 |

8690 5-(25,13,42120) (complement has $\lambda=83850$)

supplementary design of number 8689 |

design of number 10506 with respect to smaller t |

residual design of number 10508 |

derived from number 11596 |

11596 6-(26,14,42120) (complement has $\lambda=83850$)

residual design of number 11595 |

6587 5-(27,12,42240) (complement has $\lambda=128304$)

design of number 6586 with respect to smaller t |

residual design of number 11291 |

5909 5-(25,13,42315) (complement has $\lambda=83655$)

design of number 5903 with respect to smaller t |

supplementary design of number 5904 |

residual design of number 5907 |

10054 5-(35,10,42336) (complement has $\lambda=100170$)

derived from number 10050 |

design of number 10051 with respect to smaller t |

10050 6-(36,11,42336) (complement has $\lambda=100170$)

design of number 10049 with respect to smaller t |

6585 5-(26,13,42525) (complement has $\lambda=160965$)

Alltop construction for design number 6582 |

6597 5-(27,12,42768) (complement has $\lambda=127776$)

design of number 6596 with respect to smaller t |

residual design of number 7004 |

9071 5-(26,12,42840) (complement has $\lambda=73440$)

derived from number 9067 |

9067 6-(27,13,42840) (complement has $\lambda=73440$)

derived from number 9065 |

9065 7-(28,14,42840) (complement has $\lambda=73440$)

$Sp(6,2)$ |

Alltop construction for design number 9067 |

5929 5-(25,13,42900) (complement has $\lambda=83070$)

design of number 5923 with respect to smaller t |

supplementary design of number 5924 |

residual design of number 5927 |

10197 5-(34,10,43155) (complement has $\lambda=75600$)

residual design of number 10191 |

derived from number 10192 |

10192 6-(35,11,43155) (complement has $\lambda=75600$)

residual design of number 10189 |

8884 5-(26,12,43200) (complement has $\lambda=73080$)

residual design of number 8881 |

derived from number 8882 |

8882 6-(27,13,43200) (complement has $\lambda=73080$)

residual design of number 8880 |

derived from number 8888 |

8888 7-(28,14,43200) (complement has $\lambda=73080$)

Alltop construction for design number 8882 |

$Sp(6,2)$ |

11123 5-(28,13,43263) (complement has $\lambda=447051$)

TvT: 5-(27,12,15048) $\cup$ 5-(27,13,28215) |

10217 5-(34,10,43680) (complement has $\lambda=75075$)

residual design of number 10211 |

derived from number 10212 |

10212 6-(35,11,43680) (complement has $\lambda=75075$)

residual design of number 10209 |

8699 5-(26,12,43740) (complement has $\lambda=72540$)

residual design of number 8694 |

design of number 8696 with respect to smaller t |

10334 5-(38,10,43848) (complement has $\lambda=193488$)

residual design of number 10328 |

11113 5-(27,14,43890) (complement has $\lambda=453530$)

supplementary design of number 11112 |

8784 5-(25,14,43940) (complement has $\lambda=124020$)

residual design of number 8780 |

704 5-(25,13,44070) (complement has $\lambda=81900$)

supplementary design of number 703 |

3812 5-(25,13,44460) (complement has $\lambda=81510$)

supplementary design of number 3811 |

6803 5-(26,12,44460) (complement has $\lambda=71820$)

derived from number 6800 |

design of number 8791 with respect to smaller t |

6800 6-(27,13,44460) (complement has $\lambda=71820$)

\cite{Sebille98} $AGL(3,3)$ |

derived from number 6806 |

design of number 8789 with respect to smaller t |

6806 7-(28,14,44460) (complement has $\lambda=71820$)

Alltop construction for design number 6800 |

Tran van Trung construction with supplementary design for design number 8789 |

\cite{Sebille98} $AGL(3,3)+$ |

10074 5-(35,10,44730) (complement has $\lambda=97776$)

derived from number 10070 |

design of number 10071 with respect to smaller t |

10070 6-(36,11,44730) (complement has $\lambda=97776$)

design of number 10069 with respect to smaller t |

11351 5-(26,12,45000) (complement has $\lambda=71280$)

TvT: 5-(25,11,15000) $\cup$ 5-(25,12,30000) |

5949 5-(25,13,45045) (complement has $\lambda=80925$)

design of number 5943 with respect to smaller t |

supplementary design of number 5944 |

residual design of number 5947 |

10094 5-(35,10,45360) (complement has $\lambda=97146$)

derived from number 10090 |

design of number 10091 with respect to smaller t |

10090 6-(36,11,45360) (complement has $\lambda=97146$)

design of number 10089 with respect to smaller t |

11233 5-(28,12,45540) (complement has $\lambda=199617$)

TvT: 5-(27,11,13860) $\cup$ 5-(27,12,31680) |

design of number 11290 with respect to smaller t |

derived from number 11297 |

11297 6-(29,13,45540) (complement has $\lambda=199617$)

TvT: 6-(28,12,13860) $\cup$ 6-(28,13,31680) |

10236 5-(34,10,45675) (complement has $\lambda=73080$)

residual design of number 10231 |

derived from number 10232 |

design of number 10669 with respect to smaller t |

10232 6-(35,11,45675) (complement has $\lambda=73080$)

residual design of number 10229 |

design of number 10668 with respect to smaller t |

9086 5-(26,12,45720) (complement has $\lambda=70560$)

derived from number 9081 |

9081 6-(27,13,45720) (complement has $\lambda=70560$)

derived from number 9079 |

9079 7-(28,14,45720) (complement has $\lambda=70560$)

$Sp(6,2)$ |

Alltop construction for design number 9081 |

8898 5-(26,12,46080) (complement has $\lambda=70200$)

residual design of number 8896 |

derived from number 8897 |

design of number 10591 with respect to smaller t |

8897 6-(27,13,46080) (complement has $\lambda=70200$)

residual design of number 8895 |

derived from number 8901 |

design of number 10584 with respect to smaller t |

8901 7-(28,14,46080) (complement has $\lambda=70200$)

Alltop construction for design number 8897 |

Alltop |

Tran van Trung construction with supplementary design for design number 10584 |

design of number 10587 with respect to smaller t |

10253 5-(34,10,46200) (complement has $\lambda=72555$)

residual design of number 10247 |

derived from number 10248 |

10248 6-(35,11,46200) (complement has $\lambda=72555$)

residual design of number 10245 |

10540 5-(25,14,46280) (complement has $\lambda=121680$)

residual design of number 10532 |

design of number 10533 with respect to smaller t |

6702 5-(26,14,46410) (complement has $\lambda=247520$)

residual design of number 6695 |

10114 5-(35,10,46746) (complement has $\lambda=95760$)

derived from number 10110 |

design of number 10111 with respect to smaller t |

10110 6-(36,11,46746) (complement has $\lambda=95760$)

design of number 10109 with respect to smaller t |

10572 5-(25,14,46800) (complement has $\lambda=121160$)

residual design of number 10564 |

design of number 10565 with respect to smaller t |

11634 5-(27,12,46992) (complement has $\lambda=123552$)

TvT: 5-(26,11,14952) $\cup$ 5-(26,12,32040) |

design of number 11640 with respect to smaller t |

residual design of number 11641 |

derived from number 11642 |

11642 6-(28,13,46992) (complement has $\lambda=123552$)

TvT: 6-(27,12,14952) $\cup$ 6-(27,13,32040) |

5969 5-(25,13,47190) (complement has $\lambda=78780$)

design of number 5963 with respect to smaller t |

supplementary design of number 5964 |

residual design of number 5967 |

10273 5-(34,10,47355) (complement has $\lambda=71400$)

residual design of number 10267 |

derived from number 10268 |

10268 6-(35,11,47355) (complement has $\lambda=71400$)

residual design of number 10265 |

10134 5-(35,10,47376) (complement has $\lambda=95130$)

derived from number 10130 |

design of number 10131 with respect to smaller t |

10130 6-(36,11,47376) (complement has $\lambda=95130$)

design of number 10129 with respect to smaller t |

8712 5-(25,13,47385) (complement has $\lambda=78585$)

supplementary design of number 8702 |

3939 5-(26,12,47520) (complement has $\lambda=68760$)

TvT: 5-(25,11,15840) $\cup$ 5-(25,12,31680) |

136 5-(27,12,47520) (complement has $\lambda=123024$)

derived from number 134 |

residual design of number 7005 |

design of number 8853 with respect to smaller t |

134 6-(28,13,47520) (complement has $\lambda=123024$)

$Sp(6,2)$ |

design of number 8852 with respect to smaller t |

derived from number 9221 |

9221 7-(29,14,47520) (complement has $\lambda=123024$)

TvT: 7-(28,13,15120) $\cup$ 7-(28,14,32400) |

8826 5-(28,11,47817) (complement has $\lambda=53130$)

design of number 8825 with respect to smaller t |

residual design of number 9211 |

10293 5-(34,10,47880) (complement has $\lambda=70875$)

residual design of number 10287 |

derived from number 10288 |

10288 6-(35,11,47880) (complement has $\lambda=70875$)

residual design of number 10285 |

8796 5-(25,13,48165) (complement has $\lambda=77805$)

residual design of number 8792 |

derived from number 8793 |

supplementary design of number 8795 |

8793 6-(26,14,48165) (complement has $\lambda=77805$)

residual design of number 8790 |

8721 5-(26,12,48240) (complement has $\lambda=68040$)

residual design of number 8719 |

design of number 8720 with respect to smaller t |

derived from number 9101 |

9101 6-(27,13,48240) (complement has $\lambda=68040$)

derived from number 9099 |

9099 7-(28,14,48240) (complement has $\lambda=68040$)

$Sp(6,2)$ |

Alltop construction for design number 9101 |

11203 5-(27,12,48576) (complement has $\lambda=121968$)

TvT: 5-(26,11,15456) $\cup$ 5-(26,12,33120) |

6625 5-(26,12,48600) (complement has $\lambda=67680$)

residual design of number 6624 |

design of number 8730 with respect to smaller t |

derived from number 8905 |

8905 6-(27,13,48600) (complement has $\lambda=67680$)

residual design of number 8904 |

derived from number 8908 |

8908 7-(28,14,48600) (complement has $\lambda=67680$)

Alltop construction for design number 8905 |

Alltop |

5989 5-(25,13,48750) (complement has $\lambda=77220$)

design of number 5983 with respect to smaller t |

supplementary design of number 5984 |

residual design of number 5987 |

6718 5-(26,13,49140) (complement has $\lambda=154350$)

residual design of number 6714 |

derived from number 6715 |

Alltop construction for design number 6728 |

6715 6-(27,14,49140) (complement has $\lambda=154350$)

supplementary design of number 6714 |

residual design of number 6720 |

6009 5-(25,13,49335) (complement has $\lambda=76635$)

design of number 6003 with respect to smaller t |

supplementary design of number 6004 |

residual design of number 6007 |

4520 5-(29,11,49588) (complement has $\lambda=85008$)

TvT: 5-(28,10,12397) $\cup$ 5-(28,11,37191) |

design of number 7075 with respect to smaller t |

10154 5-(35,10,49770) (complement has $\lambda=92736$)

derived from number 10150 |

design of number 10151 with respect to smaller t |

10150 6-(36,11,49770) (complement has $\lambda=92736$)

design of number 10149 with respect to smaller t |

10313 5-(34,10,49875) (complement has $\lambda=68880$)

residual design of number 10307 |

derived from number 10308 |

10308 6-(35,11,49875) (complement has $\lambda=68880$)

residual design of number 10305 |

6603 5-(27,12,49896) (complement has $\lambda=120648$)

design of number 6602 with respect to smaller t |

822 5-(25,13,49920) (complement has $\lambda=76050$)

supplementary design of number 821 |

residual design of number 10592 |

design of number 10594 with respect to smaller t |

derived from number 10595 |

10595 6-(26,14,49920) (complement has $\lambda=76050$)

residual design of number 10589 |

design of number 10590 with respect to smaller t |

6595 5-(26,13,50400) (complement has $\lambda=153090$)

Alltop construction for design number 6593 |

Tran van Trung construction with supplementary design for design number 8659 |

9637 5-(34,10,50400) (complement has $\lambda=68355$)

residual design of number 9631 |

derived from number 9632 |

10174 5-(35,10,50400) (complement has $\lambda=92106$)

derived from number 10170 |

design of number 10171 with respect to smaller t |

9632 6-(35,11,50400) (complement has $\lambda=68355$)

residual design of number 9629 |

10170 6-(36,11,50400) (complement has $\lambda=92106$)

design of number 10169 with respect to smaller t |

6696 5-(27,13,50490) (complement has $\lambda=269280$)

design of number 6694 with respect to smaller t |

derived from number 6699 |

6699 6-(28,14,50490) (complement has $\lambda=269280$)

Tran van Trung construction with supplementary design for design number 6694 |

design of number 6700 with respect to smaller t |

9112 5-(26,12,50760) (complement has $\lambda=65520$)

derived from number 9107 |

design of number 10612 with respect to smaller t |

residual design of number 11558 |

9107 6-(27,13,50760) (complement has $\lambda=65520$)

derived from number 9105 |

design of number 10605 with respect to smaller t |

9105 7-(28,14,50760) (complement has $\lambda=65520$)

$Sp(6,2)$ |

Alltop construction for design number 9107 |

Tran van Trung construction with supplementary design for design number 10605 |

design of number 10608 with respect to smaller t |

6029 5-(25,13,50895) (complement has $\lambda=75075$)

design of number 6023 with respect to smaller t |

supplementary design of number 6024 |

residual design of number 6027 |

6601 5-(26,13,51030) (complement has $\lambda=152460$)

Alltop construction for design number 6599 |

Tran van Trung construction with supplementary design for design number 8665 |

10331 5-(39,10,51408) (complement has $\lambda=226848$)

residual design of number 10326 |

design of number 10328 with respect to smaller t |

6049 5-(25,13,51480) (complement has $\lambda=74490$)

design of number 6043 with respect to smaller t |

supplementary design of number 6044 |

residual design of number 6047 |

6285 5-(26,12,51480) (complement has $\lambda=64800$)

design of number 6284 with respect to smaller t |

residual design of number 6629 |

derived from number 6816 |

6816 6-(27,13,51480) (complement has $\lambda=64800$)

TvT: 6-(26,12,17160) $\cup$ 6-(26,13,34320) |

derived from number 6820 |

\cite{Sebille98} $AGL(3,3)$ |

design of number 8803 with respect to smaller t |

residual design of number 8911 |

6820 7-(28,14,51480) (complement has $\lambda=64800$)

Alltop construction for design number 6816 |

Tran van Trung construction with supplementary design for design number 8803 |

\cite{Sebille98} $AGL(3,3)+$ |

design of number 10638 with respect to smaller t |

9657 5-(34,10,51555) (complement has $\lambda=67200$)

residual design of number 9651 |

derived from number 9652 |

9652 6-(35,11,51555) (complement has $\lambda=67200$)

residual design of number 9649 |

3999 5-(27,12,51744) (complement has $\lambda=118800$)

TvT: 5-(26,11,16464) $\cup$ 5-(26,12,35280) |

10194 5-(35,10,51786) (complement has $\lambda=90720$)

derived from number 10190 |

design of number 10191 with respect to smaller t |

10190 6-(36,11,51786) (complement has $\lambda=90720$)

design of number 10189 with respect to smaller t |

11518 5-(26,12,51840) (complement has $\lambda=64440$)

TvT: 5-(25,11,17280) $\cup$ 5-(25,12,34560) |

6738 5-(26,13,51975) (complement has $\lambda=151515$)

residual design of number 6734 |

derived from number 6735 |

Alltop construction for design number 6748 |

6735 6-(27,14,51975) (complement has $\lambda=151515$)

supplementary design of number 6734 |

residual design of number 6740 |

9677 5-(34,10,52080) (complement has $\lambda=66675$)

residual design of number 9671 |

derived from number 9672 |

9672 6-(35,11,52080) (complement has $\lambda=66675$)

residual design of number 9669 |

8724 5-(25,13,52260) (complement has $\lambda=73710$)

supplementary design of number 8722 |

4003 5-(27,12,52272) (complement has $\lambda=118272$)

TvT: 5-(26,11,16632) $\cup$ 5-(26,12,35640) |

10214 5-(35,10,52416) (complement has $\lambda=90090$)

derived from number 10210 |

design of number 10211 with respect to smaller t |

10210 6-(36,11,52416) (complement has $\lambda=90090$)

design of number 10209 with respect to smaller t |

4079 5-(27,13,52470) (complement has $\lambda=267300$)

TvT: 5-(26,12,19080) $\cup$ 5-(26,13,33390) |

10354 5-(38,10,52548) (complement has $\lambda=184788$)

residual design of number 10348 |

8732 5-(25,13,52650) (complement has $\lambda=73320$)

supplementary design of number 8731 |

9131 5-(26,12,52920) (complement has $\lambda=63360$)

derived from number 9126 |

8954 5-(26,13,52920) (complement has $\lambda=150570$)

residual design of number 8948 |

derived from number 8949 |

Alltop construction for design number 8963 |

9126 6-(27,13,52920) (complement has $\lambda=63360$)

derived from number 9124 |

8949 6-(27,14,52920) (complement has $\lambda=150570$)

residual design of number 8946 |

supplementary design of number 8948 |

9124 7-(28,14,52920) (complement has $\lambda=63360$)

$Sp(6,2)$ |

Alltop construction for design number 9126 |

6065 5-(25,13,53040) (complement has $\lambda=72930$)

design of number 6059 with respect to smaller t |

supplementary design of number 6060 |

residual design of number 6063 |

8741 5-(26,12,53100) (complement has $\lambda=63180$)

residual design of number 8736 |

design of number 8738 with respect to smaller t |

6758 5-(26,13,53235) (complement has $\lambda=150255$)

residual design of number 6754 |

derived from number 6755 |

Alltop construction for design number 6766 |

design of number 8779 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8782 |

6755 6-(27,14,53235) (complement has $\lambda=150255$)

supplementary design of number 6754 |

residual design of number 6760 |

design of number 8777 with respect to smaller t |

9147 5-(26,12,53280) (complement has $\lambda=63000$)

derived from number 9142 |

9142 6-(27,13,53280) (complement has $\lambda=63000$)

derived from number 9140 |

9140 7-(28,14,53280) (complement has $\lambda=63000$)

$Sp(6,2)$ |

Alltop construction for design number 9142 |

8765 5-(26,12,53460) (complement has $\lambda=62820$)

residual design of number 8760 |

design of number 8762 with respect to smaller t |

derived from number 11282 |

4088 5-(27,13,53460) (complement has $\lambda=266310$)

TvT: 5-(26,12,19440) $\cup$ 5-(26,13,34020) |

11282 6-(27,13,53460) (complement has $\lambda=62820$)

TvT: 6-(26,12,17820) $\cup$ 6-(26,13,35640) |

derived from number 11285 |

11285 7-(28,14,53460) (complement has $\lambda=62820$)

Alltop construction for design number 11282 |

6085 5-(25,13,53625) (complement has $\lambda=72345$)

design of number 6079 with respect to smaller t |

supplementary design of number 6080 |

residual design of number 6083 |

8915 5-(26,12,54000) (complement has $\lambda=62280$)

residual design of number 8913 |

derived from number 8914 |

8914 6-(27,13,54000) (complement has $\lambda=62280$)

residual design of number 8912 |

derived from number 8919 |

8919 7-(28,14,54000) (complement has $\lambda=62280$)

Alltop construction for design number 8914 |

Alltop |

9697 5-(34,10,54075) (complement has $\lambda=64680$)

residual design of number 9691 |

derived from number 9692 |

9692 6-(35,11,54075) (complement has $\lambda=64680$)

residual design of number 9689 |

8848 5-(26,14,54600) (complement has $\lambda=239330$)

residual design of number 8840 |

9717 5-(34,10,54600) (complement has $\lambda=64155$)

residual design of number 9711 |

derived from number 9712 |

9712 6-(35,11,54600) (complement has $\lambda=64155$)

residual design of number 9709 |

11247 5-(29,12,54648) (complement has $\lambda=291456$)

TvT: 5-(28,11,15939) $\cup$ 5-(28,12,38709) |

3946 5-(26,12,54720) (complement has $\lambda=61560$)

TvT: 5-(25,11,18240) $\cup$ 5-(25,12,36480) |

10234 5-(35,10,54810) (complement has $\lambda=87696$)

derived from number 10230 |

design of number 10231 with respect to smaller t |

10230 6-(36,11,54810) (complement has $\lambda=87696$)

design of number 10229 with respect to smaller t |

10620 5-(25,13,54990) (complement has $\lambda=70980$)

residual design of number 10613 |

design of number 10616 with respect to smaller t |

derived from number 10617 |

supplementary design of number 10619 |

10617 6-(26,14,54990) (complement has $\lambda=70980$)

residual design of number 10610 |

design of number 10611 with respect to smaller t |

6105 5-(25,13,55185) (complement has $\lambda=70785$)

design of number 6099 with respect to smaller t |

supplementary design of number 6100 |

residual design of number 6103 |

3948 5-(26,12,55440) (complement has $\lambda=60840$)

TvT: 5-(25,11,18480) $\cup$ 5-(25,12,36960) |

derived from number 9162 |

7007 5-(27,12,55440) (complement has $\lambda=115104$)

residual design of number 7006 |

derived from number 8855 |

design of number 8856 with respect to smaller t |

9162 6-(27,13,55440) (complement has $\lambda=60840$)

derived from number 9160 |

8855 6-(28,13,55440) (complement has $\lambda=115104$)

design of number 8854 with respect to smaller t |

derived from number 9226 |

9160 7-(28,14,55440) (complement has $\lambda=60840$)

$Sp(6,2)$ |

Alltop construction for design number 9162 |

9226 7-(29,14,55440) (complement has $\lambda=115104$)

TvT: 7-(28,13,17640) $\cup$ 7-(28,14,37800) |

10250 5-(35,10,55440) (complement has $\lambda=87066$)

derived from number 10246 |

design of number 10247 with respect to smaller t |

10246 6-(36,11,55440) (complement has $\lambda=87066$)

design of number 10245 with respect to smaller t |

11076 5-(25,13,55575) (complement has $\lambda=70395$)

supplementary design of number 11075 |

9737 5-(34,10,55755) (complement has $\lambda=63000$)

residual design of number 9731 |

derived from number 9732 |

9732 6-(35,11,55755) (complement has $\lambda=63000$)

residual design of number 9729 |

6125 5-(25,13,55770) (complement has $\lambda=70200$)

design of number 6119 with respect to smaller t |

supplementary design of number 6120 |

residual design of number 6123 |

derived from number 8805 |

8805 6-(26,14,55770) (complement has $\lambda=70200$)

residual design of number 8804 |

design of number 10640 with respect to smaller t |

9172 5-(26,12,55800) (complement has $\lambda=60480$)

derived from number 9168 |

9168 6-(27,13,55800) (complement has $\lambda=60480$)

derived from number 9166 |

9166 7-(28,14,55800) (complement has $\lambda=60480$)

$Sp(6,2)$ |

Alltop construction for design number 9168 |

8974 5-(26,13,56070) (complement has $\lambda=147420$)

residual design of number 8968 |

derived from number 8969 |

Alltop construction for design number 8982 |

design of number 10528 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 10534 |

8969 6-(27,14,56070) (complement has $\lambda=147420$)

residual design of number 8966 |

supplementary design of number 8968 |

design of number 10525 with respect to smaller t |

11512 5-(25,13,56160) (complement has $\lambda=69810$)

supplementary design of number 11511 |

11597 5-(25,14,56160) (complement has $\lambda=111800$)

residual design of number 11596 |

4831 5-(30,14,56375) (complement has $\lambda=1986600$)

\cite{MacWilliamsetal78} |

10374 5-(38,10,56376) (complement has $\lambda=180960$)

residual design of number 10368 |

6613 5-(27,12,56496) (complement has $\lambda=114048$)

design of number 6612 with respect to smaller t |

residual design of number 7009 |

6773 5-(26,13,56700) (complement has $\lambda=146790$)

residual design of number 6770 |

derived from number 6771 |

Alltop construction for design number 6777 |

design of number 10560 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 10566 |

6771 6-(27,14,56700) (complement has $\lambda=146790$)

supplementary design of number 6770 |

residual design of number 6775 |

design of number 10557 with respect to smaller t |

10270 5-(35,10,56826) (complement has $\lambda=85680$)

derived from number 10266 |

design of number 10267 with respect to smaller t |

10266 6-(36,11,56826) (complement has $\lambda=85680$)

design of number 10265 with respect to smaller t |

6291 5-(26,12,56880) (complement has $\lambda=59400$)

design of number 6290 with respect to smaller t |

residual design of number 6631 |

derived from number 6825 |

6825 6-(27,13,56880) (complement has $\lambda=59400$)

TvT: 6-(26,12,18960) $\cup$ 6-(26,13,37920) |

derived from number 6828 |

residual design of number 8924 |

6828 7-(28,14,56880) (complement has $\lambda=59400$)

Alltop construction for design number 6825 |

Alltop |

6619 5-(27,12,57024) (complement has $\lambda=113520$)

design of number 6618 with respect to smaller t |

residual design of number 7010 |

derived from number 11592 |

11592 6-(28,13,57024) (complement has $\lambda=113520$)

TvT: 6-(27,12,18144) $\cup$ 6-(27,13,38880) |

design of number 11599 with respect to smaller t |

residual design of number 11600 |

derived from number 11607 |

11607 7-(29,14,57024) (complement has $\lambda=113520$)

TvT: 7-(28,13,18144) $\cup$ 7-(28,14,38880) |

6145 5-(25,13,57330) (complement has $\lambda=68640$)

design of number 6139 with respect to smaller t |

supplementary design of number 6140 |

residual design of number 6143 |

8993 5-(26,13,57330) (complement has $\lambda=146160$)

residual design of number 8987 |

derived from number 8988 |

Alltop construction for design number 9002 |

8988 6-(27,14,57330) (complement has $\lambda=146160$)

residual design of number 8985 |

supplementary design of number 8987 |

10290 5-(35,10,57456) (complement has $\lambda=85050$)

derived from number 10286 |

design of number 10287 with respect to smaller t |

10286 6-(36,11,57456) (complement has $\lambda=85050$)

design of number 10285 with respect to smaller t |

8753 5-(25,13,57525) (complement has $\lambda=68445$)

supplementary design of number 8744 |

11124 5-(28,13,57684) (complement has $\lambda=432630$)

TvT: 5-(27,12,20064) $\cup$ 5-(27,13,37620) |

716 5-(26,12,57780) (complement has $\lambda=58500$)

TvT: 5-(25,11,19260) $\cup$ 5-(25,12,38520) |

6165 5-(25,13,57915) (complement has $\lambda=68055$)

design of number 6159 with respect to smaller t |

supplementary design of number 6160 |

residual design of number 6163 |

104 5-(26,12,57960) (complement has $\lambda=58320$)

derived from number 101 |

residual design of number 6634 |

design of number 7979 with respect to smaller t |

5801 5-(26,13,57960) (complement has $\lambda=145530$)

Tran van Trung construction with supplementary design for design number 5791 |

design of number 5794 with respect to smaller t |

Alltop construction for design number 5798 |

101 6-(27,13,57960) (complement has $\lambda=58320$)

$Sp(6,2)_1$ |

derived from number 107 |

design of number 8808 with respect to smaller t |

residual design of number 8925 |

107 7-(28,14,57960) (complement has $\lambda=58320$)

Alltop construction for design number 101 |

Tran van Trung construction with supplementary design for design number 8808 |

$Sp(6,2)$ |

11204 5-(27,12,58080) (complement has $\lambda=112464$)

TvT: 5-(26,11,18480) $\cup$ 5-(26,12,39600) |

3954 5-(26,12,58140) (selfcomplementary)

TvT: 5-(25,11,19380) $\cup$ 5-(25,12,38760) |

8935 5-(26,14,58240) (complement has $\lambda=235690$)

residual design of number 8929 |

9757 5-(34,10,58275) (complement has $\lambda=60480$)

residual design of number 9751 |

derived from number 9752 |

9752 6-(35,11,58275) (complement has $\lambda=60480$)

residual design of number 9749 |

10693 5-(37,10,58464) (complement has $\lambda=142912$)

residual design of number 10683 |

derived from number 10684 |

10684 6-(38,11,58464) (complement has $\lambda=142912$)

residual design of number 10678 |

11121 5-(27,14,58520) (complement has $\lambda=438900$)

supplementary design of number 11120 |

9777 5-(34,10,58800) (complement has $\lambda=59955$)

residual design of number 9771 |

derived from number 9772 |

9772 6-(35,11,58800) (complement has $\lambda=59955$)

residual design of number 9769 |

5821 5-(26,13,58905) (complement has $\lambda=144585$)

Tran van Trung construction with supplementary design for design number 5811 |

design of number 5814 with respect to smaller t |

Alltop construction for design number 5818 |

11234 5-(28,12,59202) (complement has $\lambda=185955$)

TvT: 5-(27,11,18018) $\cup$ 5-(27,12,41184) |

3819 5-(25,13,59280) (complement has $\lambda=66690$)

supplementary design of number 3818 |

8838 5-(27,13,59400) (complement has $\lambda=260370$)

residual design of number 8834 |

design of number 8836 with respect to smaller t |

derived from number 8842 |

8842 6-(28,14,59400) (complement has $\lambda=260370$)

Tran van Trung construction with supplementary design for design number 8836 |

design of number 8843 with respect to smaller t |

residual design of number 9216 |

derived from number 9217 |

9217 7-(29,15,59400) (complement has $\lambda=260370$)

supplementary design of number 9216 |

6185 5-(25,13,59475) (complement has $\lambda=66495$)

design of number 6179 with respect to smaller t |

supplementary design of number 6180 |

residual design of number 6183 |

6611 5-(26,13,59535) (complement has $\lambda=143955$)

Alltop construction for design number 6609 |

Tran van Trung construction with supplementary design for design number 8674 |

151 5-(27,12,59664) (complement has $\lambda=110880$)

derived from number 149 |

design of number 8872 with respect to smaller t |

149 6-(28,13,59664) (complement has $\lambda=110880$)

$Sp(6,2)$ |

design of number 8871 with respect to smaller t |

derived from number 9231 |

9231 7-(29,14,59664) (complement has $\lambda=110880$)

TvT: 7-(28,13,18984) $\cup$ 7-(28,14,40680) |

10310 5-(35,10,59850) (complement has $\lambda=82656$)

derived from number 10306 |

design of number 10307 with respect to smaller t |

10306 6-(36,11,59850) (complement has $\lambda=82656$)

design of number 10305 with respect to smaller t |

11390 5-(28,13,59961) (complement has $\lambda=430353$)

TvT: 5-(27,12,20856) $\cup$ 5-(27,13,39105) |

10329 5-(40,10,59976) (complement has $\lambda=264656$)

design of number 10326 with respect to smaller t |

6205 5-(25,13,60060) (complement has $\lambda=65910$)

design of number 6199 with respect to smaller t |

supplementary design of number 6200 |

residual design of number 6203 |

4007 5-(27,12,60192) (complement has $\lambda=110352$)

TvT: 5-(26,11,19152) $\cup$ 5-(26,12,41040) |

9634 5-(35,10,60480) (complement has $\lambda=82026$)

derived from number 9630 |

design of number 9631 with respect to smaller t |

9630 6-(36,11,60480) (complement has $\lambda=82026$)

design of number 9629 with respect to smaller t |

7674 5-(35,10,60606) (complement has $\lambda=81900$)

residual design of number 7671 |

11292 5-(28,12,60720) (complement has $\lambda=184437$)

design of number 11291 with respect to smaller t |

TvT: 5-(27,11,18480) $\cup$ 5-(27,12,42240) |

6686 5-(28,14,60720) (complement has $\lambda=756470$)

Tran van Trung construction with supplementary design for design number 6676 |

design of number 6679 with respect to smaller t |

Alltop construction for design number 6683 |

11207 5-(27,14,60830) (complement has $\lambda=436590$)

supplementary design of number 11206 |

5841 5-(26,13,61425) (complement has $\lambda=142065$)

Tran van Trung construction with supplementary design for design number 5831 |

design of number 5834 with respect to smaller t |

Alltop construction for design number 5838 |

4226 5-(28,12,61479) (complement has $\lambda=183678$)

TvT: 5-(27,11,18711) $\cup$ 5-(27,12,42768) |

design of number 7004 with respect to smaller t |

631 5-(28,13,61479) (complement has $\lambda=428835$)

TvT: 5-(27,12,21384) $\cup$ 5-(27,13,40095) |

10351 5-(39,10,61608) (complement has $\lambda=216648$)

residual design of number 10346 |

design of number 10348 with respect to smaller t |

6219 5-(25,13,61620) (complement has $\lambda=64350$)

design of number 6213 with respect to smaller t |

supplementary design of number 6214 |

residual design of number 6217 |

766 5-(26,13,61740) (complement has $\lambda=141750$)

Tran van Trung construction with supplementary design for design number 761 |

Alltop construction for design number 763 |

residual design of number 9007 |

derived from number 9008 |

9008 6-(27,14,61740) (complement has $\lambda=141750$)

residual design of number 9005 |

supplementary design of number 9007 |

9654 5-(35,10,61866) (complement has $\lambda=80640$)

derived from number 9650 |

design of number 9651 with respect to smaller t |

9650 6-(36,11,61866) (complement has $\lambda=80640$)

design of number 9649 with respect to smaller t |

6238 5-(25,13,62205) (complement has $\lambda=63765$)

design of number 6232 with respect to smaller t |

supplementary design of number 6233 |

residual design of number 6236 |

5861 5-(26,13,62370) (complement has $\lambda=141120$)

Tran van Trung construction with supplementary design for design number 5851 |

design of number 5854 with respect to smaller t |

Alltop construction for design number 5858 |

residual design of number 9017 |

derived from number 9018 |

627 5-(27,14,62370) (complement has $\lambda=435050$)

supplementary design of number 626 |

9018 6-(27,14,62370) (complement has $\lambda=141120$)

residual design of number 9015 |

supplementary design of number 9017 |

9674 5-(35,10,62496) (complement has $\lambda=80010$)

derived from number 9670 |

design of number 9671 with respect to smaller t |

9670 6-(36,11,62496) (complement has $\lambda=80010$)

design of number 9669 with respect to smaller t |

712 5-(25,13,62595) (complement has $\lambda=63375$)

supplementary design of number 711 |

7991 5-(25,13,62790) (complement has $\lambda=63180$)

supplementary design of number 7983 |

design of number 7986 with respect to smaller t |

residual design of number 7988 |

derived from number 8810 |

8810 6-(26,14,62790) (complement has $\lambda=63180$)

residual design of number 8809 |

4009 5-(27,12,62832) (complement has $\lambda=107712$)

TvT: 5-(26,11,19992) $\cup$ 5-(26,12,42840) |

3826 5-(25,13,62985) (selfcomplementary)

supplementary design of number 3825 |

residual design of number 3829 |

residual design of complement of number 3829 |

166 5-(27,12,63360) (complement has $\lambda=107184$)

derived from number 164 |

design of number 8881 with respect to smaller t |

8931 5-(27,13,63360) (complement has $\lambda=256410$)

derived from number 8927 |

design of number 8928 with respect to smaller t |

164 6-(28,13,63360) (complement has $\lambda=107184$)

$Sp(6,2)$ |

design of number 8880 with respect to smaller t |

derived from number 9236 |

8927 6-(28,14,63360) (complement has $\lambda=256410$)

design of number 8926 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8928 |

9236 7-(29,14,63360) (complement has $\lambda=107184$)

TvT: 7-(28,13,20160) $\cup$ 7-(28,14,43200) |

9212 5-(29,11,63756) (complement has $\lambda=70840$)

design of number 9211 with respect to smaller t |

8697 5-(27,12,64152) (complement has $\lambda=106392$)

design of number 8694 with respect to smaller t |

8797 5-(25,14,64220) (complement has $\lambda=103740$)

residual design of number 8793 |

5881 5-(26,13,64890) (complement has $\lambda=138600$)

Tran van Trung construction with supplementary design for design number 5871 |

design of number 5874 with respect to smaller t |

Alltop construction for design number 5878 |

9694 5-(35,10,64890) (complement has $\lambda=77616$)

derived from number 9690 |

design of number 9691 with respect to smaller t |

9690 6-(36,11,64890) (complement has $\lambda=77616$)

design of number 9689 with respect to smaller t |

9714 5-(35,10,65520) (complement has $\lambda=76986$)

derived from number 9710 |

design of number 9711 with respect to smaller t |

9710 6-(36,11,65520) (complement has $\lambda=76986$)

design of number 9709 with respect to smaller t |

668 5-(28,14,65780) (complement has $\lambda=751410$)

Alltop construction for design number 666 |

Tran van Trung construction with supplementary design for design number 720 |

5897 5-(26,13,65835) (complement has $\lambda=137655$)

Tran van Trung construction with supplementary design for design number 5891 |

design of number 5892 with respect to smaller t |

Alltop construction for design number 5896 |

4097 5-(27,13,65835) (complement has $\lambda=253935$)

TvT: 5-(26,12,23940) $\cup$ 5-(26,13,41895) |

11352 5-(27,12,66000) (complement has $\lambda=104544$)

TvT: 5-(26,11,21000) $\cup$ 5-(26,12,45000) |

10371 5-(39,10,66096) (complement has $\lambda=212160$)

residual design of number 10366 |

design of number 10368 with respect to smaller t |

8861 5-(26,13,66150) (complement has $\lambda=137340$)

residual design of number 8857 |

derived from number 8860 |

Alltop construction for design number 8866 |

8860 6-(27,14,66150) (complement has $\lambda=137340$)

supplementary design of number 8857 |

residual design of number 8863 |

10598 5-(25,14,66560) (complement has $\lambda=101400$)

residual design of number 10595 |

design of number 10596 with respect to smaller t |

9033 5-(26,13,66780) (complement has $\lambda=136710$)

residual design of number 9027 |

derived from number 9028 |

Alltop construction for design number 9042 |

9028 6-(27,14,66780) (complement has $\lambda=136710$)

residual design of number 9025 |

supplementary design of number 9027 |

11037 5-(27,13,66825) (complement has $\lambda=252945$)

TvT: 5-(26,12,24300) $\cup$ 5-(26,13,42525) |

9734 5-(35,10,66906) (complement has $\lambda=75600$)

derived from number 9730 |

design of number 9731 with respect to smaller t |

9730 6-(36,11,66906) (complement has $\lambda=75600$)

design of number 9729 with respect to smaller t |

9798 5-(34,11,67200) (complement has $\lambda=407820$)

residual design of number 9792 |

6617 5-(26,13,67410) (complement has $\lambda=136080$)

Alltop construction for design number 6615 |

Tran van Trung construction with supplementary design for design number 8683 |

11635 5-(28,12,67551) (complement has $\lambda=177606$)

TvT: 5-(27,11,20559) $\cup$ 5-(27,12,46992) |

design of number 11641 with respect to smaller t |

derived from number 11643 |

11643 6-(29,13,67551) (complement has $\lambda=177606$)

TvT: 6-(28,12,20559) $\cup$ 6-(28,13,46992) |

181 5-(27,12,67584) (complement has $\lambda=102960$)

derived from number 179 |

residual design of number 7011 |

design of number 8896 with respect to smaller t |

179 6-(28,13,67584) (complement has $\lambda=102960$)

$Sp(6,2)$ |

design of number 8895 with respect to smaller t |

derived from number 9241 |

residual design of number 11562 |

9241 7-(29,14,67584) (complement has $\lambda=102960$)

TvT: 7-(28,13,21504) $\cup$ 7-(28,14,46080) |

6623 5-(26,13,68040) (complement has $\lambda=135450$)

Alltop construction for design number 6621 |

Tran van Trung construction with supplementary design for design number 8689 |

design of number 10508 with respect to smaller t |

residual design of number 11586 |

derived from number 11587 |

11587 6-(27,14,68040) (complement has $\lambda=135450$)

supplementary design of number 11586 |

residual design of number 11589 |

design of number 11595 with respect to smaller t |

10394 5-(38,10,68208) (complement has $\lambda=169128$)

residual design of number 10388 |

4230 5-(28,12,68310) (complement has $\lambda=176847$)

TvT: 5-(27,11,20790) $\cup$ 5-(27,12,47520) |

design of number 7005 with respect to smaller t |

derived from number 7079 |

7079 6-(29,13,68310) (complement has $\lambda=176847$)

TvT: 6-(28,12,20790) $\cup$ 6-(28,13,47520) |

5914 5-(26,13,68355) (complement has $\lambda=135135$)

Tran van Trung construction with supplementary design for design number 5904 |

design of number 5907 with respect to smaller t |

Alltop construction for design number 5911 |

10689 5-(38,10,68904) (complement has $\lambda=168432$)

residual design of number 10680 |

derived from number 10681 |

design of number 10683 with respect to smaller t |

10681 6-(39,11,68904) (complement has $\lambda=168432$)

residual design of number 10676 |

design of number 10678 with respect to smaller t |

6784 5-(26,13,68985) (complement has $\lambda=134505$)

residual design of number 6780 |

derived from number 6781 |

Alltop construction for design number 6794 |

6781 6-(27,14,68985) (complement has $\lambda=134505$)

supplementary design of number 6780 |

residual design of number 6786 |

5934 5-(26,13,69300) (complement has $\lambda=134190$)

Tran van Trung construction with supplementary design for design number 5924 |

design of number 5927 with respect to smaller t |

Alltop construction for design number 5931 |

4013 5-(27,12,69696) (complement has $\lambda=100848$)

TvT: 5-(26,11,22176) $\cup$ 5-(26,12,47520) |

11357 5-(28,12,69828) (complement has $\lambda=175329$)

TvT: 5-(27,11,21252) $\cup$ 5-(27,12,48576) |

9754 5-(35,10,69930) (complement has $\lambda=72576$)

derived from number 9750 |

design of number 9751 with respect to smaller t |

9750 6-(36,11,69930) (complement has $\lambda=72576$)

design of number 9749 with respect to smaller t |

9053 5-(26,13,70560) (complement has $\lambda=132930$)

residual design of number 9047 |

derived from number 9048 |

Alltop construction for design number 9062 |

9048 6-(27,14,70560) (complement has $\lambda=132930$)

residual design of number 9045 |

supplementary design of number 9047 |

9774 5-(35,10,70560) (complement has $\lambda=71946$)

derived from number 9770 |

design of number 9771 with respect to smaller t |

9770 6-(36,11,70560) (complement has $\lambda=71946$)

design of number 9769 with respect to smaller t |

7016 5-(27,12,70752) (complement has $\lambda=99792$)

derived from number 7015 |

design of number 8719 with respect to smaller t |

residual design of number 11294 |

7015 6-(28,13,70752) (complement has $\lambda=99792$)

TvT: 6-(27,12,22512) $\cup$ 6-(27,13,48240) |

6722 5-(26,14,70980) (complement has $\lambda=222950$)

residual design of number 6715 |

708 5-(26,13,71190) (complement has $\lambda=132300$)

Tran van Trung construction with supplementary design for design number 703 |

Alltop construction for design number 705 |

residual design of number 8873 |

derived from number 8875 |

8875 6-(27,14,71190) (complement has $\lambda=132300$)

supplementary design of number 8873 |

residual design of number 8877 |

196 5-(27,12,71280) (complement has $\lambda=99264$)

derived from number 194 |

design of number 6624 with respect to smaller t |

residual design of number 7012 |

194 6-(28,13,71280) (complement has $\lambda=99264$)

$Sp(6,2)$ |

design of number 8904 with respect to smaller t |

residual design of number 9214 |

derived from number 9246 |

9246 7-(29,14,71280) (complement has $\lambda=99264$)

TvT: 7-(28,13,22680) $\cup$ 7-(28,14,48600) |

3814 5-(26,13,71820) (complement has $\lambda=131670$)

Tran van Trung construction with supplementary design for design number 3811 |

Alltop construction for design number 3813 |

10349 5-(40,10,71876) (complement has $\lambda=252756$)

design of number 10346 with respect to smaller t |

10414 5-(38,10,72036) (complement has $\lambda=165300$)

residual design of number 10408 |

11101 5-(28,14,72105) (complement has $\lambda=745085$)

Alltop construction for design number 11098 |

Tran van Trung construction with supplementary design for design number 11112 |

7672 5-(36,10,72261) (complement has $\lambda=97650$)

design of number 7671 with respect to smaller t |

5954 5-(26,13,72765) (complement has $\lambda=130725$)

Tran van Trung construction with supplementary design for design number 5944 |

design of number 5947 with respect to smaller t |

Alltop construction for design number 5951 |

10625 5-(25,14,73320) (complement has $\lambda=94640$)

residual design of number 10617 |

design of number 10618 with respect to smaller t |

124 5-(27,13,74250) (complement has $\lambda=245520$)

residual design of number 121 |

8806 5-(25,14,74360) (complement has $\lambda=93600$)

residual design of number 8805 |

design of number 10641 with respect to smaller t |

4233 5-(28,12,74382) (complement has $\lambda=170775$)

TvT: 5-(27,11,22638) $\cup$ 5-(27,12,51744) |

11205 5-(27,12,74448) (complement has $\lambda=96096$)

TvT: 5-(26,11,23688) $\cup$ 5-(26,12,50760) |

design of number 11558 with respect to smaller t |

residual design of number 11559 |

derived from number 11569 |

11569 6-(28,13,74448) (complement has $\lambda=96096$)

TvT: 6-(27,12,23688) $\cup$ 6-(27,13,50760) |

9072 5-(26,13,74970) (complement has $\lambda=128520$)

residual design of number 9067 |

derived from number 9068 |

Alltop construction for design number 9076 |

9068 6-(27,14,74970) (complement has $\lambda=128520$)

residual design of number 9065 |

supplementary design of number 9067 |

6742 5-(26,14,75075) (complement has $\lambda=218855$)

residual design of number 6735 |

4236 5-(28,12,75141) (complement has $\lambda=170016$)

TvT: 5-(27,11,22869) $\cup$ 5-(27,12,52272) |

6630 5-(27,12,75504) (complement has $\lambda=95040$)

design of number 6629 with respect to smaller t |

residual design of number 7013 |

derived from number 7023 |

7023 6-(28,13,75504) (complement has $\lambda=95040$)

TvT: 6-(27,12,24024) $\cup$ 6-(27,13,51480) |

design of number 8911 with respect to smaller t |

derived from number 9251 |

residual design of number 11551 |

9251 7-(29,14,75504) (complement has $\lambda=95040$)

TvT: 7-(28,13,24024) $\cup$ 7-(28,14,51480) |

8886 5-(26,13,75600) (complement has $\lambda=127890$)

residual design of number 8882 |

derived from number 8885 |

Alltop construction for design number 8891 |

8885 6-(27,14,75600) (complement has $\lambda=127890$)

supplementary design of number 8882 |

residual design of number 8888 |

11369 5-(30,12,75900) (complement has $\lambda=404800$)

TvT: 5-(29,11,21252) $\cup$ 5-(29,12,54648) |

11522 5-(27,12,76032) (complement has $\lambda=94512$)

TvT: 5-(26,11,24192) $\cup$ 5-(26,12,51840) |

5974 5-(26,13,76230) (complement has $\lambda=127260$)

Tran van Trung construction with supplementary design for design number 5964 |

design of number 5967 with respect to smaller t |

Alltop construction for design number 5971 |

8955 5-(26,14,76440) (complement has $\lambda=217490$)

residual design of number 8949 |

8714 5-(26,13,76545) (complement has $\lambda=126945$)

Tran van Trung construction with supplementary design for design number 8702 |

Alltop construction for design number 8708 |

6762 5-(26,14,76895) (complement has $\lambda=217035$)

residual design of number 6755 |

design of number 8780 with respect to smaller t |

10369 5-(40,10,77112) (complement has $\lambda=247520$)

design of number 10366 with respect to smaller t |

6716 5-(27,13,77220) (complement has $\lambda=242550$)

design of number 6714 with respect to smaller t |

derived from number 6719 |

6719 6-(28,14,77220) (complement has $\lambda=242550$)

Tran van Trung construction with supplementary design for design number 6714 |

design of number 6720 with respect to smaller t |

11359 5-(28,13,77418) (complement has $\lambda=412896$)

TvT: 5-(27,12,26928) $\cup$ 5-(27,13,50490) |

6804 5-(26,13,77805) (complement has $\lambda=125685$)

residual design of number 6800 |

derived from number 6801 |

Alltop construction for design number 6812 |

design of number 8792 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8795 |

6801 6-(27,14,77805) (complement has $\lambda=125685$)

supplementary design of number 6800 |

residual design of number 6806 |

design of number 8790 with respect to smaller t |

8739 5-(27,12,77880) (complement has $\lambda=92664$)

design of number 8736 with respect to smaller t |

8763 5-(27,12,78408) (complement has $\lambda=92136$)

design of number 8760 with respect to smaller t |

derived from number 11296 |

11296 6-(28,13,78408) (complement has $\lambda=92136$)

TvT: 6-(27,12,24948) $\cup$ 6-(27,13,53460) |

6701 5-(27,14,78540) (complement has $\lambda=418880$)

design of number 6695 with respect to smaller t |

supplementary design of number 6696 |

residual design of number 6699 |

5994 5-(26,13,78750) (complement has $\lambda=124740$)

Tran van Trung construction with supplementary design for design number 5984 |

design of number 5987 with respect to smaller t |

Alltop construction for design number 5991 |

211 5-(27,12,79200) (complement has $\lambda=91344$)

derived from number 209 |

design of number 8913 with respect to smaller t |

residual design of number 11295 |

4106 5-(27,13,79200) (complement has $\lambda=240570$)

TvT: 5-(26,12,28800) $\cup$ 5-(26,13,50400) |

209 6-(28,13,79200) (complement has $\lambda=91344$)

$Sp(6,2)$ |

design of number 8912 with respect to smaller t |

derived from number 9256 |

9256 7-(29,14,79200) (complement has $\lambda=91344$)

TvT: 7-(28,13,25200) $\cup$ 7-(28,14,54000) |

6014 5-(26,13,79695) (complement has $\lambda=123795$)

Tran van Trung construction with supplementary design for design number 6004 |

design of number 6007 with respect to smaller t |

Alltop construction for design number 6011 |

4239 5-(28,12,79695) (complement has $\lambda=165462$)

TvT: 5-(27,11,24255) $\cup$ 5-(27,12,55440) |

design of number 7006 with respect to smaller t |

derived from number 7080 |

7080 6-(29,13,79695) (complement has $\lambda=165462$)

TvT: 6-(28,12,24255) $\cup$ 6-(28,13,55440) |

10391 5-(39,10,79968) (complement has $\lambda=198288$)

residual design of number 10386 |

design of number 10388 with respect to smaller t |

9087 5-(26,13,80010) (complement has $\lambda=123480$)

residual design of number 9081 |

derived from number 9082 |

Alltop construction for design number 9096 |

9082 6-(27,14,80010) (complement has $\lambda=123480$)

residual design of number 9079 |

supplementary design of number 9081 |

4115 5-(27,13,80190) (complement has $\lambda=239580$)

TvT: 5-(26,12,29160) $\cup$ 5-(26,13,51030) |

4016 5-(27,12,80256) (complement has $\lambda=90288$)

TvT: 5-(26,11,25536) $\cup$ 5-(26,12,54720) |

4316 5-(28,13,80454) (complement has $\lambda=409860$)

TvT: 5-(27,12,27984) $\cup$ 5-(27,13,52470) |

826 5-(26,13,80640) (complement has $\lambda=122850$)

Tran van Trung construction with supplementary design for design number 821 |

Alltop construction for design number 823 |

residual design of number 8897 |

derived from number 8899 |

design of number 10592 with respect to smaller t |

8899 6-(27,14,80640) (complement has $\lambda=122850$)

supplementary design of number 8897 |

residual design of number 8901 |

design of number 10589 with respect to smaller t |

10686 5-(39,10,80784) (complement has $\lambda=197472$)

derived from number 10679 |

design of number 10680 with respect to smaller t |

10679 6-(40,11,80784) (complement has $\lambda=197472$)

design of number 10676 with respect to smaller t |

8975 5-(26,14,80990) (complement has $\lambda=212940$)

residual design of number 8969 |

design of number 10532 with respect to smaller t |

4243 5-(28,12,81213) (complement has $\lambda=163944$)

TvT: 5-(27,11,24717) $\cup$ 5-(27,12,56496) |

design of number 7009 with respect to smaller t |

4018 5-(27,12,81312) (complement has $\lambda=89232$)

TvT: 5-(26,11,25872) $\cup$ 5-(26,12,55440) |

4080 5-(27,14,81620) (complement has $\lambda=415800$)

supplementary design of number 4079 |

6736 5-(27,13,81675) (complement has $\lambda=238095$)

design of number 6734 with respect to smaller t |

derived from number 6739 |

6739 6-(28,14,81675) (complement has $\lambda=238095$)

Tran van Trung construction with supplementary design for design number 6734 |

design of number 6740 with respect to smaller t |

4020 5-(27,12,81840) (complement has $\lambda=88704$)

TvT: 5-(26,11,26040) $\cup$ 5-(26,12,55800) |

6776 5-(26,14,81900) (complement has $\lambda=212030$)

residual design of number 6771 |

design of number 10564 with respect to smaller t |

4247 5-(28,12,81972) (complement has $\lambda=163185$)

TvT: 5-(27,11,24948) $\cup$ 5-(27,12,57024) |

design of number 7010 with respect to smaller t |

derived from number 11593 |

4319 5-(28,13,81972) (complement has $\lambda=408342$)

TvT: 5-(27,12,28512) $\cup$ 5-(27,13,53460) |

11593 6-(29,13,81972) (complement has $\lambda=163185$)

TvT: 6-(28,12,24948) $\cup$ 6-(28,13,57024) |

design of number 11600 with respect to smaller t |

derived from number 11612 |

11612 7-(30,14,81972) (complement has $\lambda=163185$)

TvT: 7-(29,13,24948) $\cup$ 7-(29,14,57024) |

6034 5-(26,13,82215) (complement has $\lambda=121275$)

Tran van Trung construction with supplementary design for design number 6024 |

design of number 6027 with respect to smaller t |

Alltop construction for design number 6031 |

8994 5-(26,14,82810) (complement has $\lambda=211120$)

residual design of number 8988 |

3945 5-(26,13,83160) (complement has $\lambda=120330$)

Alltop construction for design number 3942 |

Tran van Trung construction with supplementary design for design number 6044 |

design of number 6047 with respect to smaller t |

8951 5-(27,13,83160) (complement has $\lambda=236610$)

derived from number 8947 |

design of number 8948 with respect to smaller t |

4089 5-(27,14,83160) (complement has $\lambda=414260$)

supplementary design of number 4088 |

8947 6-(28,14,83160) (complement has $\lambda=236610$)

design of number 8946 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8948 |

226 5-(27,12,83424) (complement has $\lambda=87120$)

derived from number 224 |

design of number 6631 with respect to smaller t |

224 6-(28,13,83424) (complement has $\lambda=87120$)

$Sp(6,2)$ |

TvT: 6-(27,12,26544) $\cup$ 6-(27,13,56880) |

design of number 8924 with respect to smaller t |

derived from number 9261 |

9261 7-(29,14,83424) (complement has $\lambda=87120$)

TvT: 7-(28,13,26544) $\cup$ 7-(28,14,56880) |

11389 5-(28,12,83490) (complement has $\lambda=161667$)

TvT: 5-(27,11,25410) $\cup$ 5-(27,12,58080) |

6756 5-(27,13,83655) (complement has $\lambda=236115$)

design of number 6754 with respect to smaller t |

derived from number 6759 |

6759 6-(28,14,83655) (complement has $\lambda=236115$)

Tran van Trung construction with supplementary design for design number 6754 |

design of number 6760 with respect to smaller t |

\cite{Sebille98} $AGL(3,3)+$ |

\cite{Sebille98} $AGL(3,3)+$ |

8811 5-(25,14,83720) (complement has $\lambda=84240$)

residual design of number 8810 |

9818 5-(34,11,84000) (complement has $\lambda=391020$)

residual design of number 9812 |

9795 5-(35,11,84000) (complement has $\lambda=509775$)

residual design of number 9790 |

design of number 9792 with respect to smaller t |

8726 5-(26,13,84420) (complement has $\lambda=119070$)

Tran van Trung construction with supplementary design for design number 8722 |

Alltop construction for design number 8723 |

residual design of number 9101 |

derived from number 9102 |

9102 6-(27,14,84420) (complement has $\lambda=119070$)

residual design of number 9099 |

supplementary design of number 9101 |

10411 5-(39,10,84456) (complement has $\lambda=193800$)

residual design of number 10406 |

design of number 10408 with respect to smaller t |

718 5-(27,12,84744) (complement has $\lambda=85800$)

TvT: 5-(26,11,26964) $\cup$ 5-(26,12,57780) |

4024 5-(27,12,85008) (complement has $\lambda=85536$)

TvT: 5-(26,11,27048) $\cup$ 5-(26,12,57960) |

design of number 6634 with respect to smaller t |

residual design of number 7014 |

derived from number 7025 |

7025 6-(28,13,85008) (complement has $\lambda=85536$)

TvT: 6-(27,12,27048) $\cup$ 6-(27,13,57960) |

design of number 8925 with respect to smaller t |

residual design of number 9215 |

derived from number 9266 |

9266 7-(29,14,85008) (complement has $\lambda=85536$)

TvT: 7-(28,13,27048) $\cup$ 7-(28,14,57960) |

6628 5-(26,13,85050) (complement has $\lambda=118440$)

Alltop construction for design number 6626 |

Tran van Trung construction with supplementary design for design number 8731 |

residual design of number 8905 |

derived from number 8906 |

8906 6-(27,14,85050) (complement has $\lambda=118440$)

supplementary design of number 8905 |

residual design of number 8908 |

7028 5-(27,12,85272) (selfcomplementary)

derived from number 7026 |

derived from complement of number 7026 |

7026 6-(28,13,85272) (selfcomplementary)

Ajoodani-Namini Large Set recursion from 6-(14,7,4) |

6070 5-(26,13,85680) (complement has $\lambda=117810$)

Tran van Trung construction with supplementary design for design number 6060 |

design of number 6063 with respect to smaller t |

Alltop construction for design number 6067 |

4251 5-(28,12,86526) (complement has $\lambda=158631$)

TvT: 5-(27,11,26334) $\cup$ 5-(27,12,60192) |

6090 5-(26,13,86625) (complement has $\lambda=116865$)

Tran van Trung construction with supplementary design for design number 6080 |

design of number 6083 with respect to smaller t |

Alltop construction for design number 6087 |

8971 5-(27,13,88110) (complement has $\lambda=231660$)

derived from number 8967 |

design of number 8968 with respect to smaller t |

residual design of number 11642 |

8967 6-(28,14,88110) (complement has $\lambda=231660$)

design of number 8966 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8968 |

9113 5-(26,13,88830) (complement has $\lambda=114660$)

residual design of number 9107 |

derived from number 9108 |

Alltop construction for design number 9121 |

design of number 10613 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 10619 |

9108 6-(27,14,88830) (complement has $\lambda=114660$)

residual design of number 9105 |

supplementary design of number 9107 |

design of number 10610 with respect to smaller t |

137 5-(27,13,89100) (complement has $\lambda=230670$)

residual design of number 134 |

design of number 6770 with respect to smaller t |

derived from number 6774 |

6774 6-(28,14,89100) (complement has $\lambda=230670$)

Tran van Trung construction with supplementary design for design number 6770 |

design of number 6775 with respect to smaller t |

residual design of number 9221 |

derived from number 9222 |

9222 7-(29,15,89100) (complement has $\lambda=230670$)

supplementary design of number 9221 |

6110 5-(26,13,89145) (complement has $\lambda=114345$)

Tran van Trung construction with supplementary design for design number 6100 |

design of number 6103 with respect to smaller t |

Alltop construction for design number 6107 |

9012 5-(26,14,89180) (complement has $\lambda=204750$)

residual design of number 9008 |

11066 5-(26,13,89775) (complement has $\lambda=113715$)

Alltop construction for design number 11063 |

Tran van Trung construction with supplementary design for design number 11075 |

6130 5-(26,13,90090) (complement has $\lambda=113400$)

Tran van Trung construction with supplementary design for design number 6120 |

design of number 6123 with respect to smaller t |

Alltop construction for design number 6127 |

residual design of number 6816 |

derived from number 6817 |

9022 5-(26,14,90090) (complement has $\lambda=203840$)

residual design of number 9018 |

8990 5-(27,13,90090) (complement has $\lambda=229680$)

derived from number 8986 |

design of number 8987 with respect to smaller t |

6817 6-(27,14,90090) (complement has $\lambda=113400$)

supplementary design of number 6816 |

residual design of number 6820 |

design of number 8804 with respect to smaller t |

8986 6-(28,14,90090) (complement has $\lambda=229680$)

design of number 8985 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8987 |

4837 5-(30,15,90200) (complement has $\lambda=3178560$)

Alltop construction for design number 4834 |

Alltop construction |

4253 5-(28,12,90321) (complement has $\lambda=154836$)

TvT: 5-(27,11,27489) $\cup$ 5-(27,12,62832) |

11514 5-(26,13,90720) (complement has $\lambda=112770$)

Tran van Trung construction with supplementary design for design number 11511 |

Alltop construction for design number 11513 |

9838 5-(34,11,90720) (complement has $\lambda=384300$)

residual design of number 9832 |

11209 5-(27,13,91080) (complement has $\lambda=228690$)

TvT: 5-(26,12,33120) $\cup$ 5-(26,13,57960) |

7154 5-(28,13,91080) (complement has $\lambda=399234$)

derived from number 7152 |

design of number 8834 with respect to smaller t |

residual design of number 11297 |

7152 6-(29,14,91080) (complement has $\lambda=399234$)

TvT: 6-(28,13,31680) $\cup$ 6-(28,14,59400) |

derived from number 7157 |

design of number 9216 with respect to smaller t |

7157 7-(30,15,91080) (complement has $\lambda=399234$)

Alltop construction for design number 7152 |

Tran van Trung construction with supplementary design for design number 9216 |

8845 5-(27,14,92400) (complement has $\lambda=405020$)

supplementary design of number 8838 |

design of number 8840 with respect to smaller t |

residual design of number 8842 |

derived from number 9218 |

9218 6-(28,15,92400) (complement has $\lambda=405020$)

residual design of number 9217 |

6150 5-(26,13,92610) (complement has $\lambda=110880$)

Tran van Trung construction with supplementary design for design number 6140 |

design of number 6143 with respect to smaller t |

Alltop construction for design number 6147 |

residual design of number 9126 |

derived from number 9127 |

9127 6-(27,14,92610) (complement has $\lambda=110880$)

residual design of number 9124 |

supplementary design of number 9126 |

8755 5-(26,13,92925) (complement has $\lambda=110565$)

Tran van Trung construction with supplementary design for design number 8744 |

Alltop construction for design number 8750 |

9148 5-(26,13,93240) (complement has $\lambda=110250$)

residual design of number 9142 |

derived from number 9143 |

Alltop construction for design number 9157 |

9143 6-(27,14,93240) (complement has $\lambda=110250$)

residual design of number 9140 |

supplementary design of number 9142 |

10389 5-(40,10,93296) (complement has $\lambda=231336$)

design of number 10386 with respect to smaller t |

6170 5-(26,13,93555) (complement has $\lambda=109935$)

Tran van Trung construction with supplementary design for design number 6160 |

design of number 6163 with respect to smaller t |

Alltop construction for design number 6167 |

residual design of number 11282 |

derived from number 11283 |

4124 5-(27,13,93555) (complement has $\lambda=226215$)

TvT: 5-(26,12,34020) $\cup$ 5-(26,13,59535) |

11283 6-(27,14,93555) (complement has $\lambda=109935$)

supplementary design of number 11282 |

residual design of number 11285 |

8917 5-(26,13,94500) (complement has $\lambda=108990$)

residual design of number 8914 |

derived from number 8916 |

Alltop construction for design number 8920 |

8916 6-(27,14,94500) (complement has $\lambda=108990$)

supplementary design of number 8914 |

residual design of number 8919 |

11358 5-(28,12,94875) (complement has $\lambda=150282$)

TvT: 5-(27,11,28875) $\cup$ 5-(27,12,66000) |

8867 5-(26,14,95550) (complement has $\lambda=198380$)

residual design of number 8860 |

3821 5-(26,13,95760) (complement has $\lambda=107730$)

Tran van Trung construction with supplementary design for design number 3818 |

Alltop construction for design number 3820 |

6190 5-(26,13,96075) (complement has $\lambda=107415$)

Tran van Trung construction with supplementary design for design number 6180 |

design of number 6183 with respect to smaller t |

Alltop construction for design number 6187 |

11118 5-(28,14,96140) (complement has $\lambda=721050$)

Alltop construction for design number 11115 |

Tran van Trung construction with supplementary design for design number 11120 |

9034 5-(26,14,96460) (complement has $\lambda=197470$)

residual design of number 9028 |

3953 5-(26,13,97020) (complement has $\lambda=106470$)

Alltop construction for design number 3950 |

Tran van Trung construction with supplementary design for design number 6200 |

design of number 6203 with respect to smaller t |

residual design of number 9162 |

derived from number 9163 |

9009 5-(27,13,97020) (complement has $\lambda=222750$)

derived from number 9006 |

design of number 9007 with respect to smaller t |

9163 6-(27,14,97020) (complement has $\lambda=106470$)

residual design of number 9160 |

supplementary design of number 9162 |

9006 6-(28,14,97020) (complement has $\lambda=222750$)

design of number 9005 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9007 |

4255 5-(28,12,97152) (complement has $\lambda=148005$)

TvT: 5-(27,11,29568) $\cup$ 5-(27,12,67584) |

design of number 7011 with respect to smaller t |

derived from number 7085 |

7085 6-(29,13,97152) (complement has $\lambda=148005$)

TvT: 6-(28,12,29568) $\cup$ 6-(28,13,67584) |

design of number 11562 with respect to smaller t |

derived from number 11563 |

11563 7-(30,14,97152) (complement has $\lambda=148005$)

TvT: 7-(29,13,29568) $\cup$ 7-(29,14,67584) |

9173 5-(26,13,97650) (complement has $\lambda=105840$)

residual design of number 9168 |

derived from number 9169 |

Alltop construction for design number 9177 |

9169 6-(27,14,97650) (complement has $\lambda=105840$)

residual design of number 9166 |

supplementary design of number 9168 |

9019 5-(27,13,98010) (complement has $\lambda=221760$)

derived from number 9016 |

design of number 9017 with respect to smaller t |

9016 6-(28,14,98010) (complement has $\lambda=221760$)

design of number 9015 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9017 |

11590 5-(26,14,98280) (complement has $\lambda=195650$)

residual design of number 11587 |

design of number 11596 with respect to smaller t |

10409 5-(40,10,98532) (complement has $\lambda=226100$)

design of number 10406 with respect to smaller t |

8932 5-(27,14,98560) (complement has $\lambda=398860$)

residual design of number 8927 |

design of number 8929 with respect to smaller t |

supplementary design of number 8931 |

9858 5-(34,11,98700) (complement has $\lambda=376320$)

residual design of number 9852 |

6224 5-(26,13,99540) (complement has $\lambda=103950$)

Tran van Trung construction with supplementary design for design number 6214 |

design of number 6217 with respect to smaller t |

Alltop construction for design number 6221 |

residual design of number 6825 |

derived from number 6826 |

6826 6-(27,14,99540) (complement has $\lambda=103950$)

supplementary design of number 6825 |

residual design of number 6828 |

6788 5-(26,14,99645) (complement has $\lambda=194285$)

residual design of number 6781 |

11157 5-(28,14,99935) (complement has $\lambda=717255$)

Alltop construction for design number 11154 |

Tran van Trung construction with supplementary design for design number 11206 |

4208 5-(28,12,100188) (complement has $\lambda=144969$)

TvT: 5-(27,11,30492) $\cup$ 5-(27,12,69696) |

10434 5-(38,10,100224) (complement has $\lambda=137112$)

residual design of number 10428 |

6243 5-(26,13,100485) (complement has $\lambda=103005$)

Tran van Trung construction with supplementary design for design number 6233 |

design of number 6236 with respect to smaller t |

Alltop construction for design number 6240 |

9878 5-(34,11,100800) (complement has $\lambda=374220$)

residual design of number 9872 |

4258 5-(28,13,100947) (complement has $\lambda=389367$)

TvT: 5-(27,12,35112) $\cup$ 5-(27,13,65835) |

651 5-(26,13,101115) (complement has $\lambda=102375$)

Alltop construction for design number 649 |

Tran van Trung construction with supplementary design for design number 711 |

105 5-(26,13,101430) (complement has $\lambda=102060$)

residual design of number 101 |

derived from number 102 |

Alltop construction for design number 115 |

Tran van Trung construction with supplementary design for design number 7983 |

design of number 7988 with respect to smaller t |

102 6-(27,14,101430) (complement has $\lambda=102060$)

supplementary design of number 101 |

residual design of number 107 |

design of number 8809 with respect to smaller t |

11235 5-(28,12,101706) (complement has $\lambda=143451$)

TvT: 5-(27,11,30954) $\cup$ 5-(27,12,70752) |

design of number 11294 with respect to smaller t |

derived from number 11373 |

11373 6-(29,13,101706) (complement has $\lambda=143451$)

TvT: 6-(28,12,30954) $\cup$ 6-(28,13,70752) |

3828 5-(26,13,101745) (selfcomplementary)

Tran van Trung construction with supplementary design for design number 3825 |

Alltop construction for design number 3827 |

design of number 3829 with respect to smaller t |

complementary design of number 3829 with respect to smaller t |

9054 5-(26,14,101920) (complement has $\lambda=192010$)

residual design of number 9048 |

4098 5-(27,14,102410) (complement has $\lambda=395010$)

supplementary design of number 4097 |

4211 5-(28,12,102465) (complement has $\lambda=142692$)

TvT: 5-(27,11,31185) $\cup$ 5-(27,12,71280) |

design of number 7012 with respect to smaller t |

derived from number 7076 |

11040 5-(28,13,102465) (complement has $\lambda=387849$)

TvT: 5-(27,12,35640) $\cup$ 5-(27,13,66825) |

611 5-(28,14,102465) (complement has $\lambda=714725$)

Alltop construction for design number 609 |

Tran van Trung construction with supplementary design for design number 626 |

7076 6-(29,13,102465) (complement has $\lambda=142692$)

TvT: 6-(28,12,31185) $\cup$ 6-(28,13,71280) |

design of number 9214 with respect to smaller t |

derived from number 9271 |

9271 7-(30,14,102465) (complement has $\lambda=142692$)

TvT: 7-(29,13,31185) $\cup$ 7-(29,14,71280) |

8878 5-(26,14,102830) (complement has $\lambda=191100$)

residual design of number 8875 |

8858 5-(27,13,103950) (complement has $\lambda=215820$)

residual design of number 8855 |

design of number 8857 with respect to smaller t |

derived from number 8862 |

11038 5-(27,14,103950) (complement has $\lambda=393470$)

supplementary design of number 11037 |

8862 6-(28,14,103950) (complement has $\lambda=215820$)

Tran van Trung construction with supplementary design for design number 8857 |

design of number 8863 with respect to smaller t |

residual design of number 9226 |

derived from number 9227 |

9227 7-(29,15,103950) (complement has $\lambda=215820$)

supplementary design of number 9226 |

9793 5-(36,11,104160) (complement has $\lambda=632121$)

design of number 9790 with respect to smaller t |

9030 5-(27,13,104940) (complement has $\lambda=214830$)

derived from number 9026 |

design of number 9027 with respect to smaller t |

9026 6-(28,14,104940) (complement has $\lambda=214830$)

design of number 9025 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9027 |

9815 5-(35,11,105000) (complement has $\lambda=488775$)

residual design of number 9810 |

design of number 9812 with respect to smaller t |

425 5-(29,14,105248) (complement has $\lambda=1202256$)

TvT: 5-(28,13,39468) $\cup$ 5-(28,14,65780) |

9898 5-(34,11,105420) (complement has $\lambda=369600$)

residual design of number 9892 |

4026 5-(27,13,105930) (complement has $\lambda=213840$)

TvT: 5-(26,12,38520) $\cup$ 5-(26,13,67410) |

4035 5-(27,13,106920) (complement has $\lambda=212850$)

TvT: 5-(26,12,38880) $\cup$ 5-(26,13,68040) |

design of number 11586 with respect to smaller t |

derived from number 11588 |

residual design of number 11592 |

11588 6-(28,14,106920) (complement has $\lambda=212850$)

Tran van Trung construction with supplementary design for design number 11586 |

design of number 11589 with respect to smaller t |

residual design of number 11607 |

derived from number 11608 |

11608 7-(29,15,106920) (complement has $\lambda=212850$)

supplementary design of number 11607 |

11236 5-(28,12,107019) (complement has $\lambda=138138$)

TvT: 5-(27,11,32571) $\cup$ 5-(27,12,74448) |

design of number 11559 with respect to smaller t |

derived from number 11570 |

11570 6-(29,13,107019) (complement has $\lambda=138138$)

TvT: 6-(28,12,32571) $\cup$ 6-(28,13,74448) |

9918 5-(34,11,107520) (complement has $\lambda=367500$)

residual design of number 9912 |

9073 5-(26,14,108290) (complement has $\lambda=185640$)

residual design of number 9068 |

6782 5-(27,13,108405) (complement has $\lambda=211365$)

design of number 6780 with respect to smaller t |

derived from number 6785 |

6785 6-(28,14,108405) (complement has $\lambda=211365$)

Tran van Trung construction with supplementary design for design number 6780 |

design of number 6786 with respect to smaller t |

4214 5-(28,12,108537) (complement has $\lambda=136620$)

TvT: 5-(27,11,33033) $\cup$ 5-(27,12,75504) |

\cite{Sebille98} $Sp(6,2)$ |

design of number 7013 with respect to smaller t |

derived from number 7077 |

7077 6-(29,13,108537) (complement has $\lambda=136620$)

TvT: 6-(28,12,33033) $\cup$ 6-(28,13,75504) |

design of number 11551 with respect to smaller t |

derived from number 11552 |

11552 7-(30,14,108537) (complement has $\lambda=136620$)

TvT: 7-(29,13,33033) $\cup$ 7-(29,14,75504) |

11353 5-(27,13,108900) (complement has $\lambda=210870$)

TvT: 5-(26,12,39600) $\cup$ 5-(26,13,69300) |

10454 5-(38,10,108924) (complement has $\lambda=128412$)

residual design of number 10448 |

8892 5-(26,14,109200) (complement has $\lambda=184730$)

residual design of number 8885 |

11523 5-(28,12,109296) (complement has $\lambda=135861$)

TvT: 5-(27,11,33264) $\cup$ 5-(27,12,76032) |

9050 5-(27,13,110880) (complement has $\lambda=208890$)

derived from number 9046 |

design of number 9047 with respect to smaller t |

9046 6-(28,14,110880) (complement has $\lambda=208890$)

design of number 9045 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9047 |

152 5-(27,13,111870) (complement has $\lambda=207900$)

residual design of number 149 |

design of number 8873 with respect to smaller t |

derived from number 8876 |

8876 6-(28,14,111870) (complement has $\lambda=207900$)

Tran van Trung construction with supplementary design for design number 8873 |

design of number 8877 with respect to smaller t |

residual design of number 9231 |

derived from number 9232 |

9232 7-(29,15,111870) (complement has $\lambda=207900$)

supplementary design of number 9231 |

6808 5-(26,14,112385) (complement has $\lambda=181545$)

residual design of number 6801 |

design of number 8793 with respect to smaller t |

4044 5-(27,13,112860) (complement has $\lambda=206910$)

TvT: 5-(26,12,41040) $\cup$ 5-(26,13,71820) |

9835 5-(35,11,113400) (complement has $\lambda=480375$)

residual design of number 9830 |

design of number 9832 with respect to smaller t |

11237 5-(28,12,113850) (complement has $\lambda=131307$)

TvT: 5-(27,11,34650) $\cup$ 5-(27,12,79200) |

design of number 11295 with respect to smaller t |

derived from number 11300 |

122 5-(28,13,113850) (complement has $\lambda=376464$)

design of number 121 with respect to smaller t |

11300 6-(29,13,113850) (complement has $\lambda=131307$)

TvT: 6-(28,12,34650) $\cup$ 6-(28,13,79200) |

4218 5-(28,12,115368) (complement has $\lambda=129789$)

TvT: 5-(27,11,35112) $\cup$ 5-(27,12,80256) |

11140 5-(29,14,115368) (complement has $\lambda=1192136$)

TvT: 5-(28,13,43263) $\cup$ 5-(28,14,72105) |

129 5-(27,14,115500) (complement has $\lambda=381920$)

supplementary design of number 124 |

9938 5-(34,11,115500) (complement has $\lambda=359520$)

residual design of number 9932 |

9088 5-(26,14,115570) (complement has $\lambda=178360$)

residual design of number 9082 |

11362 5-(29,13,116127) (complement has $\lambda=619344$)

TvT: 5-(28,12,38709) $\cup$ 5-(28,13,77418) |

8902 5-(26,14,116480) (complement has $\lambda=177450$)

residual design of number 8899 |

design of number 10595 with respect to smaller t |

10431 5-(39,10,117504) (complement has $\lambda=160752$)

residual design of number 10426 |

design of number 10428 with respect to smaller t |

9958 5-(34,11,117600) (complement has $\lambda=357420$)

residual design of number 9952 |

4220 5-(28,12,117645) (complement has $\lambda=127512$)

TvT: 5-(27,11,35805) $\cup$ 5-(27,12,81840) |

9069 5-(27,13,117810) (complement has $\lambda=201960$)

derived from number 9066 |

design of number 9067 with respect to smaller t |

9066 6-(28,14,117810) (complement has $\lambda=201960$)

design of number 9065 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9067 |

11238 5-(28,13,118404) (complement has $\lambda=371910$)

TvT: 5-(27,12,41184) $\cup$ 5-(27,13,77220) |

167 5-(27,13,118800) (complement has $\lambda=200970$)

residual design of number 164 |

design of number 8882 with respect to smaller t |

derived from number 8887 |

8887 6-(28,14,118800) (complement has $\lambda=200970$)

Tran van Trung construction with supplementary design for design number 8882 |

design of number 8888 with respect to smaller t |

residual design of number 9236 |

derived from number 9237 |

9237 7-(29,15,118800) (complement has $\lambda=200970$)

supplementary design of number 9236 |

6721 5-(27,14,120120) (complement has $\lambda=377300$)

design of number 6715 with respect to smaller t |

supplementary design of number 6716 |

residual design of number 6719 |

9219 5-(27,15,120120) (complement has $\lambda=526526$)

residual design of number 9218 |

11212 5-(27,13,120285) (complement has $\lambda=199485$)

TvT: 5-(26,12,43740) $\cup$ 5-(26,13,76545) |

4261 5-(28,13,121440) (complement has $\lambda=368874$)

TvT: 5-(27,12,42240) $\cup$ 5-(27,13,79200) |

9103 5-(26,14,121940) (complement has $\lambda=171990$)

residual design of number 9102 |

4223 5-(28,12,122199) (complement has $\lambda=122958$)

TvT: 5-(27,11,37191) $\cup$ 5-(27,12,85008) |

design of number 7014 with respect to smaller t |

derived from number 7078 |

7078 6-(29,13,122199) (complement has $\lambda=122958$)

TvT: 6-(28,12,37191) $\cup$ 6-(28,13,85008) |

design of number 9215 with respect to smaller t |

derived from number 9272 |

9272 7-(30,14,122199) (complement has $\lambda=122958$)

TvT: 7-(29,13,37191) $\cup$ 7-(29,14,85008) |

9978 5-(34,11,122220) (complement has $\lambda=352800$)

residual design of number 9972 |

6802 5-(27,13,122265) (complement has $\lambda=197505$)

design of number 6800 with respect to smaller t |

derived from number 6805 |

6805 6-(28,14,122265) (complement has $\lambda=197505$)

Tran van Trung construction with supplementary design for design number 6800 |

design of number 6806 with respect to smaller t |

\cite{Sebille98} $AGL(3,3)+$ |

8909 5-(26,14,122850) (complement has $\lambda=171080$)

residual design of number 8906 |

4264 5-(28,13,122958) (complement has $\lambda=367356$)

TvT: 5-(27,12,42768) $\cup$ 5-(27,13,80190) |

11249 5-(29,13,122958) (complement has $\lambda=612513$)

TvT: 5-(28,12,40986) $\cup$ 5-(28,13,81972) |

4107 5-(27,14,123200) (complement has $\lambda=374220$)

supplementary design of number 4106 |

9855 5-(35,11,123375) (complement has $\lambda=470400$)

residual design of number 9850 |

design of number 9852 with respect to smaller t |

11386 5-(27,13,123750) (complement has $\lambda=196020$)

TvT: 5-(26,12,45000) $\cup$ 5-(26,13,78750) |

9998 5-(34,11,124320) (complement has $\lambda=350700$)

residual design of number 9992 |

4116 5-(27,14,124740) (complement has $\lambda=372680$)

supplementary design of number 4115 |

9084 5-(27,13,125730) (complement has $\lambda=194040$)

derived from number 9080 |

design of number 9081 with respect to smaller t |

9080 6-(28,14,125730) (complement has $\lambda=194040$)

design of number 9079 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9081 |

9875 5-(35,11,126000) (complement has $\lambda=467775$)

residual design of number 9870 |

design of number 9872 with respect to smaller t |

182 5-(27,13,126720) (complement has $\lambda=193050$)

residual design of number 179 |

design of number 8897 with respect to smaller t |

derived from number 8900 |

8900 6-(28,14,126720) (complement has $\lambda=193050$)

Tran van Trung construction with supplementary design for design number 8897 |

design of number 8901 with respect to smaller t |

residual design of number 9241 |

derived from number 9242 |

9242 7-(29,15,126720) (complement has $\lambda=193050$)

supplementary design of number 9241 |

6741 5-(27,14,127050) (complement has $\lambda=370370$)

design of number 6735 with respect to smaller t |

supplementary design of number 6736 |

residual design of number 6739 |

4522 5-(29,12,127512) (complement has $\lambda=218592$)

TvT: 5-(28,11,37191) $\cup$ 5-(28,12,90321) |

10451 5-(39,10,127704) (complement has $\lambda=150552$)

residual design of number 10446 |

design of number 10448 with respect to smaller t |

9114 5-(26,14,128310) (complement has $\lambda=165620$)

residual design of number 9108 |

design of number 10617 with respect to smaller t |

6706 5-(28,14,129030) (complement has $\lambda=688160$)

Tran van Trung construction with supplementary design for design number 6696 |

design of number 6699 with respect to smaller t |

Alltop construction for design number 6703 |

8952 5-(27,14,129360) (complement has $\lambda=368060$)

residual design of number 8947 |

design of number 8949 with respect to smaller t |

supplementary design of number 8951 |

6822 5-(26,14,130130) (complement has $\lambda=163800$)

residual design of number 6817 |

design of number 8805 with respect to smaller t |

6761 5-(27,14,130130) (complement has $\lambda=367290$)

design of number 6755 with respect to smaller t |

supplementary design of number 6756 |

residual design of number 6759 |

9813 5-(36,11,130200) (complement has $\lambda=606081$)

design of number 9810 with respect to smaller t |

4051 5-(27,13,130680) (complement has $\lambda=189090$)

TvT: 5-(26,12,47520) $\cup$ 5-(26,13,83160) |

9895 5-(35,11,131775) (complement has $\lambda=462000$)

residual design of number 9890 |

design of number 9892 with respect to smaller t |

10018 5-(34,11,132300) (complement has $\lambda=342720$)

residual design of number 10012 |

7017 5-(27,13,132660) (complement has $\lambda=187110$)

residual design of number 7015 |

derived from number 9100 |

design of number 9101 with respect to smaller t |

9100 6-(28,14,132660) (complement has $\lambda=187110$)

design of number 9099 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9101 |

197 5-(27,13,133650) (complement has $\lambda=186120$)

residual design of number 194 |

design of number 8905 with respect to smaller t |

derived from number 8907 |

8907 6-(28,14,133650) (complement has $\lambda=186120$)

Tran van Trung construction with supplementary design for design number 8905 |

design of number 8908 with respect to smaller t |

residual design of number 9246 |

derived from number 9247 |

9247 7-(29,15,133650) (complement has $\lambda=186120$)

supplementary design of number 9246 |

9132 5-(26,14,133770) (complement has $\lambda=160160$)

residual design of number 9127 |

4084 5-(28,14,134090) (complement has $\lambda=683100$)

Tran van Trung construction with supplementary design for design number 4079 |

Alltop construction for design number 4081 |

10038 5-(34,11,134400) (complement has $\lambda=340620$)

residual design of number 10032 |

9915 5-(35,11,134400) (complement has $\lambda=459375$)

residual design of number 9910 |

design of number 9912 with respect to smaller t |

9149 5-(26,14,134680) (complement has $\lambda=159250$)

residual design of number 9143 |

11636 5-(28,13,135102) (complement has $\lambda=355212$)

TvT: 5-(27,12,46992) $\cup$ 5-(27,13,88110) |

design of number 11642 with respect to smaller t |

residual design of number 11643 |

derived from number 11645 |

11645 6-(29,14,135102) (complement has $\lambda=355212$)

TvT: 6-(28,13,46992) $\cup$ 6-(28,14,88110) |

derived from number 11648 |

11648 7-(30,15,135102) (complement has $\lambda=355212$)

Alltop construction for design number 11645 |

11286 5-(26,14,135135) (complement has $\lambda=158795$)

residual design of number 11283 |

8921 5-(26,14,136500) (complement has $\lambda=157430$)

residual design of number 8916 |

135 5-(28,13,136620) (complement has $\lambda=353694$)

design of number 134 with respect to smaller t |

residual design of number 7079 |

derived from number 7086 |

4093 5-(28,14,136620) (complement has $\lambda=680570$)

Tran van Trung construction with supplementary design for design number 4088 |

Alltop construction for design number 4090 |

11298 5-(29,13,136620) (complement has $\lambda=598851$)

design of number 11297 with respect to smaller t |

derived from number 11301 |

TvT: 5-(28,12,45540) $\cup$ 5-(28,13,91080) |

7086 6-(29,14,136620) (complement has $\lambda=353694$)

TvT: 6-(28,13,47520) $\cup$ 6-(28,14,89100) |

derived from number 7089 |

design of number 9221 with respect to smaller t |

11301 6-(30,14,136620) (complement has $\lambda=598851$)

TvT: 6-(29,13,45540) $\cup$ 6-(29,14,91080) |

7089 7-(30,15,136620) (complement has $\lambda=353694$)

Alltop construction for design number 7086 |

Tran van Trung construction with supplementary design for design number 9221 |

Alltop |

8972 5-(27,14,137060) (complement has $\lambda=360360$)

residual design of number 8967 |

design of number 8969 with respect to smaller t |

supplementary design of number 8971 |

10429 5-(40,10,137088) (complement has $\lambda=187544$)

design of number 10426 with respect to smaller t |

143 5-(27,14,138600) (complement has $\lambda=358820$)

supplementary design of number 137 |

design of number 6771 with respect to smaller t |

residual design of number 6774 |

derived from number 9223 |

9223 6-(28,15,138600) (complement has $\lambda=358820$)

residual design of number 9222 |

9110 5-(27,13,139590) (complement has $\lambda=180180$)

derived from number 9106 |

design of number 9107 with respect to smaller t |

residual design of number 11569 |

9106 6-(28,14,139590) (complement has $\lambda=180180$)

design of number 9105 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9107 |

11239 5-(28,13,139656) (complement has $\lambda=350658$)

TvT: 5-(27,12,48576) $\cup$ 5-(27,13,91080) |

9164 5-(26,14,140140) (complement has $\lambda=153790$)

residual design of number 9163 |

8991 5-(27,14,140140) (complement has $\lambda=357280$)

residual design of number 8986 |

design of number 8988 with respect to smaller t |

supplementary design of number 8990 |

9833 5-(36,11,140616) (complement has $\lambda=595665$)

design of number 9830 with respect to smaller t |

9174 5-(26,14,141050) (complement has $\lambda=152880$)

residual design of number 9169 |

10058 5-(34,11,141120) (complement has $\lambda=333900$)

residual design of number 10052 |

6818 5-(27,13,141570) (complement has $\lambda=178200$)

design of number 6816 with respect to smaller t |

derived from number 6819 |

residual design of number 7023 |

6819 6-(28,14,141570) (complement has $\lambda=178200$)

Tran van Trung construction with supplementary design for design number 6816 |

design of number 6820 with respect to smaller t |

\cite{Sebille98} $AGL(3,3)+$ |

residual design of number 9251 |

derived from number 9252 |

9252 7-(29,15,141570) (complement has $\lambda=178200$)

supplementary design of number 9251 |

11210 5-(27,14,141680) (complement has $\lambda=355740$)

supplementary design of number 11209 |

11530 5-(27,13,142560) (complement has $\lambda=177210$)

TvT: 5-(26,12,51840) $\cup$ 5-(26,13,90720) |

4266 5-(28,13,143451) (complement has $\lambda=346863$)

TvT: 5-(27,12,49896) $\cup$ 5-(27,13,93555) |

6829 5-(26,14,143780) (complement has $\lambda=150150$)

residual design of number 6826 |

11105 5-(28,14,144210) (complement has $\lambda=672980$)

Alltop construction for design number 11102 |

9935 5-(35,11,144375) (complement has $\lambda=449400$)

residual design of number 9930 |

design of number 9932 with respect to smaller t |

10672 5-(33,11,144900) (complement has $\lambda=231840$)

residual design of number 10670 |

9129 5-(27,13,145530) (complement has $\lambda=174240$)

derived from number 9125 |

design of number 9126 with respect to smaller t |

4125 5-(27,14,145530) (complement has $\lambda=351890$)

supplementary design of number 4124 |

9125 6-(28,14,145530) (complement has $\lambda=174240$)

design of number 9124 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9126 |

11215 5-(27,13,146025) (complement has $\lambda=173745$)

TvT: 5-(26,12,53100) $\cup$ 5-(26,13,92925) |

109 5-(26,14,146510) (complement has $\lambda=147420$)

residual design of number 102 |

design of number 8810 with respect to smaller t |

9145 5-(27,13,146520) (complement has $\lambda=173250$)

derived from number 9141 |

design of number 9142 with respect to smaller t |

9141 6-(28,14,146520) (complement has $\lambda=173250$)

design of number 9140 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9142 |

4909 5-(31,15,146575) (complement has $\lambda=5165160$)

TvT: 5-(30,14,56375) $\cup$ 5-(30,15,90200) |

9955 5-(35,11,147000) (complement has $\lambda=446775$)

residual design of number 9950 |

design of number 9952 with respect to smaller t |

11222 5-(27,13,147015) (complement has $\lambda=172755$)

TvT: 5-(26,12,53460) $\cup$ 5-(26,13,93555) |

design of number 11282 with respect to smaller t |

derived from number 11284 |

residual design of number 11296 |

11284 6-(28,14,147015) (complement has $\lambda=172755$)

Tran van Trung construction with supplementary design for design number 11282 |

design of number 11285 with respect to smaller t |

212 5-(27,13,148500) (complement has $\lambda=171270$)

residual design of number 209 |

design of number 8914 with respect to smaller t |

derived from number 8918 |

8918 6-(28,14,148500) (complement has $\lambda=171270$)

Tran van Trung construction with supplementary design for design number 8914 |

design of number 8919 with respect to smaller t |

residual design of number 9256 |

derived from number 9257 |

9257 7-(29,15,148500) (complement has $\lambda=171270$)

supplementary design of number 9256 |

4269 5-(28,13,148764) (complement has $\lambda=341550$)

TvT: 5-(27,12,51744) $\cup$ 5-(27,13,97020) |

10449 5-(40,10,148988) (complement has $\lambda=175644$)

design of number 10446 with respect to smaller t |

10078 5-(34,11,149100) (complement has $\lambda=325920$)

residual design of number 10072 |

4275 5-(28,13,150282) (complement has $\lambda=340032$)

TvT: 5-(27,12,52272) $\cup$ 5-(27,13,98010) |

4058 5-(27,13,150480) (complement has $\lambda=169290$)

TvT: 5-(26,12,54720) $\cup$ 5-(26,13,95760) |

9010 5-(27,14,150920) (complement has $\lambda=346500$)

residual design of number 9006 |

design of number 9008 with respect to smaller t |

supplementary design of number 9009 |

10098 5-(34,11,151200) (complement has $\lambda=323820$)

residual design of number 10092 |

7155 5-(28,14,151800) (complement has $\lambda=665390$)

residual design of number 7152 |

derived from number 7153 |

Alltop construction for design number 7160 |

Tran van Trung construction with supplementary design for design number 8838 |

design of number 8842 with respect to smaller t |

7153 6-(29,15,151800) (complement has $\lambda=665390$)

supplementary design of number 7152 |

residual design of number 7157 |

design of number 9217 with respect to smaller t |

4065 5-(27,13,152460) (complement has $\lambda=167310$)

TvT: 5-(26,12,55440) $\cup$ 5-(26,13,97020) |

derived from number 9161 |

design of number 9162 with respect to smaller t |

9020 5-(27,14,152460) (complement has $\lambda=344960$)

residual design of number 9016 |

design of number 9018 with respect to smaller t |

supplementary design of number 9019 |

9161 6-(28,14,152460) (complement has $\lambda=167310$)

design of number 9160 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9162 |

9975 5-(35,11,152775) (complement has $\lambda=441000$)

residual design of number 9970 |

design of number 9972 with respect to smaller t |

9853 5-(36,11,152985) (complement has $\lambda=583296$)

design of number 9850 with respect to smaller t |

9170 5-(27,13,153450) (complement has $\lambda=166320$)

derived from number 9167 |

design of number 9168 with respect to smaller t |

9167 6-(28,14,153450) (complement has $\lambda=166320$)

design of number 9166 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 9168 |

11133 5-(29,14,153824) (complement has $\lambda=1153680$)

TvT: 5-(28,13,57684) $\cup$ 5-(28,14,96140) |

9995 5-(35,11,155400) (complement has $\lambda=438375$)

residual design of number 9990 |

design of number 9992 with respect to smaller t |

10118 5-(34,11,155820) (complement has $\lambda=319200$)

residual design of number 10112 |

9873 5-(36,11,156240) (complement has $\lambda=580041$)

design of number 9870 with respect to smaller t |

227 5-(27,13,156420) (complement has $\lambda=163350$)

residual design of number 224 |

design of number 6825 with respect to smaller t |

derived from number 6827 |

6827 6-(28,14,156420) (complement has $\lambda=163350$)

Tran van Trung construction with supplementary design for design number 6825 |

design of number 6828 with respect to smaller t |

residual design of number 9261 |

derived from number 9262 |

9262 7-(29,15,156420) (complement has $\lambda=163350$)

supplementary design of number 9261 |

426 5-(29,15,157872) (complement has $\lambda=1803384$)

supplementary design of number 425 |

10138 5-(34,11,157920) (complement has $\lambda=317100$)

residual design of number 10132 |

417 5-(27,13,158895) (complement has $\lambda=160875$)

TvT: 5-(26,12,57780) $\cup$ 5-(26,13,101115) |

103 5-(27,13,159390) (complement has $\lambda=160380$)

design of number 101 with respect to smaller t |

derived from number 106 |

residual design of number 7025 |

7081 5-(28,13,159390) (complement has $\lambda=330924$)

residual design of number 7080 |

derived from number 7092 |

design of number 8855 with respect to smaller t |

106 6-(28,14,159390) (complement has $\lambda=160380$)

Tran van Trung construction with supplementary design for design number 101 |

design of number 107 with respect to smaller t |

residual design of number 9266 |

derived from number 9267 |

7092 6-(29,14,159390) (complement has $\lambda=330924$)

TvT: 6-(28,13,55440) $\cup$ 6-(28,14,103950) |

derived from number 7095 |

design of number 9226 with respect to smaller t |

9267 7-(29,15,159390) (complement has $\lambda=160380$)

supplementary design of number 9266 |

7095 7-(30,15,159390) (complement has $\lambda=330924$)

Alltop construction for design number 7092 |

Tran van Trung construction with supplementary design for design number 9226 |

Alltop from 6-(29,14,159390) |

7029 5-(27,13,159885) (selfcomplementary)

residual design of number 7026 |

residual design of complement of number 7026 |

derived from number 7035 |

derived from complement of number 7035 |

7035 6-(28,14,159885) (selfcomplementary)

Alltop construction for design number 7029 |

Ajoodani-Namini Large Set recursion from 6-(14,7,4) |

11481 5-(29,14,159896) (complement has $\lambda=1147608$)

TvT: 5-(28,13,59961) $\cup$ 5-(28,14,99935) |

8864 5-(27,14,161700) (complement has $\lambda=335720$)

supplementary design of number 8858 |

design of number 8860 with respect to smaller t |

residual design of number 8862 |

derived from number 9228 |

9228 6-(28,15,161700) (complement has $\lambda=335720$)

residual design of number 9227 |

8930 5-(28,14,161920) (complement has $\lambda=655270$)

design of number 8927 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8931 |

Alltop construction for design number 8937 |

4281 5-(28,13,162426) (complement has $\lambda=327888$)

TvT: 5-(27,12,56496) $\cup$ 5-(27,13,105930) |

9031 5-(27,14,163240) (complement has $\lambda=334180$)

residual design of number 9026 |

design of number 9028 with respect to smaller t |

supplementary design of number 9030 |

9893 5-(36,11,163401) (complement has $\lambda=572880$)

design of number 9890 with respect to smaller t |

4283 5-(28,13,163944) (complement has $\lambda=326370$)

TvT: 5-(27,12,57024) $\cup$ 5-(27,13,106920) |

design of number 11592 with respect to smaller t |

residual design of number 11593 |

derived from number 11601 |

430 5-(29,14,163944) (complement has $\lambda=1143560$)

TvT: 5-(28,13,61479) $\cup$ 5-(28,14,102465) |

11601 6-(29,14,163944) (complement has $\lambda=326370$)

TvT: 6-(28,13,57024) $\cup$ 6-(28,14,106920) |

derived from number 11604 |

design of number 11607 with respect to smaller t |

residual design of number 11612 |

11604 7-(30,15,163944) (complement has $\lambda=326370$)

Alltop construction for design number 11601 |

Tran van Trung construction with supplementary design for design number 11607 |

4027 5-(27,14,164780) (complement has $\lambda=332640$)

supplementary design of number 4026 |

10015 5-(35,11,165375) (complement has $\lambda=428400$)

residual design of number 10010 |

design of number 10012 with respect to smaller t |

10158 5-(34,11,165900) (complement has $\lambda=309120$)

residual design of number 10152 |

4036 5-(27,14,166320) (complement has $\lambda=331100$)

supplementary design of number 4035 |

design of number 11587 with respect to smaller t |

residual design of number 11588 |

derived from number 11609 |

11609 6-(28,15,166320) (complement has $\lambda=331100$)

residual design of number 11608 |

9913 5-(36,11,166656) (complement has $\lambda=569625$)

design of number 9910 with respect to smaller t |

11360 5-(28,13,166980) (complement has $\lambda=323334$)

TvT: 5-(27,12,58080) $\cup$ 5-(27,13,108900) |

10178 5-(34,11,168000) (complement has $\lambda=307020$)

residual design of number 10172 |

10035 5-(35,11,168000) (complement has $\lambda=425775$)

residual design of number 10030 |

design of number 10032 with respect to smaller t |

4102 5-(28,14,168245) (complement has $\lambda=648945$)

Tran van Trung construction with supplementary design for design number 4097 |

Alltop construction for design number 4099 |

6787 5-(27,14,168630) (complement has $\lambda=328790$)

design of number 6781 with respect to smaller t |

supplementary design of number 6782 |

residual design of number 6785 |

11354 5-(27,14,169400) (complement has $\lambda=328020$)

supplementary design of number 11353 |

11017 5-(28,14,170775) (complement has $\lambda=646415$)

Alltop construction for design number 11014 |

Tran van Trung construction with supplementary design for design number 11037 |

11370 5-(30,13,170775) (complement has $\lambda=910800$)

TvT: 5-(29,12,54648) $\cup$ 5-(29,13,116127) |

150 5-(28,13,171534) (complement has $\lambda=318780$)

design of number 149 with respect to smaller t |

derived from number 7098 |

7098 6-(29,14,171534) (complement has $\lambda=318780$)

TvT: 6-(28,13,59664) $\cup$ 6-(28,14,111870) |

derived from number 7101 |

design of number 9231 with respect to smaller t |

7101 7-(30,15,171534) (complement has $\lambda=318780$)

Alltop construction for design number 7098 |

Tran van Trung construction with supplementary design for design number 9231 |

Alltop from 6-(29,14,171534) |

9051 5-(27,14,172480) (complement has $\lambda=324940$)

residual design of number 9046 |

design of number 9048 with respect to smaller t |

supplementary design of number 9050 |

10198 5-(34,11,172620) (complement has $\lambda=302400$)

residual design of number 10192 |

4285 5-(28,13,173052) (complement has $\lambda=317262$)

TvT: 5-(27,12,60192) $\cup$ 5-(27,13,112860) |

11141 5-(29,15,173052) (complement has $\lambda=1788204$)

supplementary design of number 11140 |

158 5-(27,14,174020) (complement has $\lambda=323400$)

supplementary design of number 152 |

design of number 8875 with respect to smaller t |

residual design of number 8876 |

derived from number 9233 |

9233 6-(28,15,174020) (complement has $\lambda=323400$)

residual design of number 9232 |

10218 5-(34,11,174720) (complement has $\lambda=300300$)

residual design of number 10212 |

4045 5-(27,14,175560) (complement has $\lambda=321860$)

supplementary design of number 4044 |

10055 5-(35,11,176400) (complement has $\lambda=417375$)

residual design of number 10050 |

design of number 10052 with respect to smaller t |

4812 5-(30,12,177100) (complement has $\lambda=303600$)

TvT: 5-(29,11,49588) $\cup$ 5-(29,12,127512) |

11250 5-(29,13,177606) (complement has $\lambda=557865$)

TvT: 5-(28,12,59202) $\cup$ 5-(28,13,118404) |

9933 5-(36,11,179025) (complement has $\lambda=557256$)

design of number 9930 with respect to smaller t |

9224 5-(27,15,180180) (complement has $\lambda=466466$)

residual design of number 9223 |

4287 5-(28,13,180642) (complement has $\lambda=309672$)

TvT: 5-(27,12,62832) $\cup$ 5-(27,13,117810) |

165 5-(28,13,182160) (complement has $\lambda=308154$)

design of number 164 with respect to smaller t |

derived from number 7104 |

11392 5-(29,13,182160) (complement has $\lambda=553311$)

TvT: 5-(28,12,60720) $\cup$ 5-(28,13,121440) |

7104 6-(29,14,182160) (complement has $\lambda=308154$)

TvT: 6-(28,13,63360) $\cup$ 6-(28,14,118800) |

derived from number 7107 |

design of number 9236 with respect to smaller t |

7107 7-(30,15,182160) (complement has $\lambda=308154$)

Alltop construction for design number 7104 |

Tran van Trung construction with supplementary design for design number 9236 |

Alltop from 6-(29,14,182160) |

9953 5-(36,11,182280) (complement has $\lambda=554001$)

design of number 9950 with respect to smaller t |

10237 5-(34,11,182700) (complement has $\lambda=292320$)

residual design of number 10232 |

design of number 10670 with respect to smaller t |

9070 5-(27,14,183260) (complement has $\lambda=314160$)

residual design of number 9066 |

design of number 9068 with respect to smaller t |

supplementary design of number 9069 |

11240 5-(28,13,184437) (complement has $\lambda=305877$)

TvT: 5-(27,12,64152) $\cup$ 5-(27,13,120285) |

4524 5-(29,13,184437) (complement has $\lambda=551034$)

TvT: 5-(28,12,61479) $\cup$ 5-(28,13,122958) |

173 5-(27,14,184800) (complement has $\lambda=312620$)

supplementary design of number 167 |

design of number 8885 with respect to smaller t |

residual design of number 8887 |

derived from number 9238 |

9238 6-(28,15,184800) (complement has $\lambda=312620$)

residual design of number 9237 |

10254 5-(34,11,184800) (complement has $\lambda=290220$)

residual design of number 10248 |

10075 5-(35,11,186375) (complement has $\lambda=407400$)

residual design of number 10070 |

design of number 10072 with respect to smaller t |

11213 5-(27,14,187110) (complement has $\lambda=310310$)

supplementary design of number 11212 |

10095 5-(35,11,189000) (complement has $\lambda=404775$)

residual design of number 10090 |

design of number 10092 with respect to smaller t |

10274 5-(34,11,189420) (complement has $\lambda=285600$)

residual design of number 10268 |

9973 5-(36,11,189441) (complement has $\lambda=546840$)

design of number 9970 with respect to smaller t |

11391 5-(28,13,189750) (complement has $\lambda=300564$)

TvT: 5-(27,12,66000) $\cup$ 5-(27,13,123750) |

131 5-(28,14,189750) (complement has $\lambda=627440$)

Tran van Trung construction with supplementary design for design number 124 |

Alltop construction for design number 126 |

6807 5-(27,14,190190) (complement has $\lambda=307230$)

design of number 6801 with respect to smaller t |

supplementary design of number 6802 |

residual design of number 6805 |

10294 5-(34,11,191520) (complement has $\lambda=283500$)

residual design of number 10288 |

11387 5-(27,14,192500) (complement has $\lambda=304920$)

supplementary design of number 11386 |

9993 5-(36,11,192696) (complement has $\lambda=543585$)

design of number 9990 with respect to smaller t |

180 5-(28,13,194304) (complement has $\lambda=296010$)

design of number 179 with respect to smaller t |

residual design of number 7085 |

derived from number 7110 |

7110 6-(29,14,194304) (complement has $\lambda=296010$)

TvT: 6-(28,13,67584) $\cup$ 6-(28,14,126720) |

derived from number 7113 |

design of number 9241 with respect to smaller t |

residual design of number 11563 |

7113 7-(30,15,194304) (complement has $\lambda=296010$)

Alltop construction for design number 7110 |

Tran van Trung construction with supplementary design for design number 9241 |

Alltop |

10115 5-(35,11,194775) (complement has $\lambda=399000$)

residual design of number 10110 |

design of number 10112 with respect to smaller t |

9085 5-(27,14,195580) (complement has $\lambda=301840$)

residual design of number 9080 |

design of number 9082 with respect to smaller t |

supplementary design of number 9084 |

188 5-(27,14,197120) (complement has $\lambda=300300$)

supplementary design of number 182 |

design of number 8899 with respect to smaller t |

residual design of number 8900 |

derived from number 9243 |

9243 6-(28,15,197120) (complement has $\lambda=300300$)

residual design of number 9242 |

6726 5-(28,14,197340) (complement has $\lambda=619850$)

Tran van Trung construction with supplementary design for design number 6716 |

design of number 6719 with respect to smaller t |

Alltop construction for design number 6723 |

10135 5-(35,11,197400) (complement has $\lambda=396375$)

residual design of number 10130 |

design of number 10132 with respect to smaller t |

10314 5-(34,11,199500) (complement has $\lambda=275520$)

residual design of number 10308 |

4293 5-(28,13,200376) (complement has $\lambda=289938$)

TvT: 5-(27,12,69696) $\cup$ 5-(27,13,130680) |

9638 5-(34,11,201600) (complement has $\lambda=273420$)

residual design of number 9632 |

4111 5-(28,14,202400) (complement has $\lambda=614790$)

Tran van Trung construction with supplementary design for design number 4106 |

Alltop construction for design number 4108 |

11644 5-(29,13,202653) (complement has $\lambda=532818$)

design of number 11643 with respect to smaller t |

TvT: 5-(28,12,67551) $\cup$ 5-(28,13,135102) |

derived from number 11652 |

11652 6-(30,14,202653) (complement has $\lambda=532818$)

TvT: 6-(29,13,67551) $\cup$ 6-(29,14,135102) |

4052 5-(27,14,203280) (complement has $\lambda=294140$)

supplementary design of number 4051 |

4295 5-(28,13,203412) (complement has $\lambda=286902$)

TvT: 5-(27,12,70752) $\cup$ 5-(27,13,132660) |

design of number 7015 with respect to smaller t |

derived from number 7116 |

residual design of number 11373 |

7116 6-(29,14,203412) (complement has $\lambda=286902$)

TvT: 6-(28,13,70752) $\cup$ 6-(28,14,132660) |

derived from number 7119 |

7119 7-(30,15,203412) (complement has $\lambda=286902$)

Alltop construction for design number 7116 |

Alltop |

195 5-(28,13,204930) (complement has $\lambda=285384$)

design of number 194 with respect to smaller t |

residual design of number 7076 |

derived from number 7122 |

4120 5-(28,14,204930) (complement has $\lambda=612260$)

Tran van Trung construction with supplementary design for design number 4115 |

Alltop construction for design number 4117 |

4526 5-(29,13,204930) (complement has $\lambda=530541$)

TvT: 5-(28,12,68310) $\cup$ 5-(28,13,136620) |

design of number 7079 with respect to smaller t |

derived from number 7527 |

7122 6-(29,14,204930) (complement has $\lambda=285384$)

TvT: 6-(28,13,71280) $\cup$ 6-(28,14,133650) |

derived from number 7125 |

design of number 9246 with respect to smaller t |

residual design of number 9271 |

7527 6-(30,14,204930) (complement has $\lambda=530541$)

TvT: 6-(29,13,68310) $\cup$ 6-(29,14,136620) |

7125 7-(30,15,204930) (complement has $\lambda=285384$)

Alltop construction for design number 7122 |

Tran van Trung construction with supplementary design for design number 9246 |

Alltop |

10013 5-(36,11,205065) (complement has $\lambda=531216$)

design of number 10010 with respect to smaller t |

9658 5-(34,11,206220) (complement has $\lambda=268800$)

residual design of number 9652 |

7020 5-(27,14,206360) (complement has $\lambda=291060$)

supplementary design of number 7017 |

residual design of number 9100 |

design of number 9102 with respect to smaller t |

11363 5-(29,14,206448) (complement has $\lambda=1101056$)

TvT: 5-(28,13,77418) $\cup$ 5-(28,14,129030) |

10155 5-(35,11,207375) (complement has $\lambda=386400$)

residual design of number 10150 |

design of number 10152 with respect to smaller t |

203 5-(27,14,207900) (complement has $\lambda=289520$)

supplementary design of number 197 |

design of number 8906 with respect to smaller t |

residual design of number 8907 |

derived from number 9248 |

9248 6-(28,15,207900) (complement has $\lambda=289520$)

residual design of number 9247 |

9678 5-(34,11,208320) (complement has $\lambda=266700$)

residual design of number 9672 |

10033 5-(36,11,208320) (complement has $\lambda=527961$)

design of number 10030 with respect to smaller t |

6746 5-(28,14,208725) (complement has $\lambda=608465$)

Tran van Trung construction with supplementary design for design number 6736 |

design of number 6739 with respect to smaller t |

Alltop construction for design number 6743 |

11411 5-(29,13,209484) (complement has $\lambda=525987$)

TvT: 5-(28,12,69828) $\cup$ 5-(28,13,139656) |

10175 5-(35,11,210000) (complement has $\lambda=383775$)

residual design of number 10170 |

design of number 10172 with respect to smaller t |

9229 5-(27,15,210210) (complement has $\lambda=436436$)

residual design of number 9228 |

8950 5-(28,14,212520) (complement has $\lambda=604670$)

design of number 8947 with respect to smaller t |

Tran van Trung construction with supplementary design for design number 8951 |

Alltop construction for design number 8957 |

7158 5-(28,15,212520) (complement has $\lambda=931546$)

residual design of number 7153 |

design of number 9218 with respect to smaller t |

4910 5-(31,16,213200) (complement has $\lambda=7512960$)

supplementary design of number 4909 |

4322 5-(28,14,213785) (complement has $\lambda=603405$)

\cite{Sebille98} $AGL(3,3)+$ |

Alltop construction for design number 4324 |

Tran van Trung construction with supplementary design for design number 6756 |

design of number 6759 with respect to smaller t |

11242 5-(28,13,214038) (complement has $\lambda=276276$)

TvT: 5-(27,12,74448) $\cup$ 5-(27,13,139590) |

design of number 11569 with respect to smaller t |

residual design of number 11570 |

derived from number 11571 |

11571 6-(29,14,214038) (complement has $\lambda=276276$)

TvT: 6-(28,13,74448) $\cup$ 6-(28,14,139590) |

derived from number 11574 |

11574 7-(30,15,214038) (complement has $\lambda=276276$)

Alltop construction for design number 11571 |

4565 5-(29,14,214544) (complement has $\lambda=1092960$)

TvT: 5-(28,13,80454) $\cup$ 5-(28,14,134090) |

10195 5-(35,11,215775) (complement has $\lambda=378000$)

residual design of number 10190 |

design of number 10192 with respect to smaller t |

11610 5-(27,15,216216) (complement has $\lambda=430430$)

residual design of number 11609 |

9698 5-(34,11,216300) (complement has $\lambda=258720$)

residual design of number 9692 |

7024 5-(28,13,217074) (complement has $\lambda=273240$)

design of number 7023 with respect to smaller t |

residual design of number 7077 |

derived from number 7128 |

7128 6-(29,14,217074) (complement has $\lambda=273240$)

TvT: 6-(28,13,75504) $\cup$ 6-(28,14,141570) |

derived from number 7131 |

design of number 9251 with respect to smaller t |

residual design of number 11552 |

7131 7-(30,15,217074) (complement has $\lambda=273240$)

Alltop construction for design number 7128 |

Tran van Trung construction with supplementary design for design number 9251 |

Alltop |

9111 5-(27,14,217140) (complement has $\lambda=280280$)

residual design of number 9106 |

design of number 9108 with respect to smaller t |

supplementary design of number 9110 |

9718 5-(34,11,218400) (complement has $\lambda=256620$)

residual design of number 9712 |

10215 5-(35,11,218400) (complement has $\lambda=375375$)

residual design of number 10210 |

design of number 10212 with respect to smaller t |

11533 5-(28,13,218592) (complement has $\lambda=271722$)

TvT: 5-(27,12,76032) $\cup$ 5-(27,13,142560) |

4572 5-(29,14,218592) (complement has $\lambda=1088912$)

TvT: 5-(28,13,81972) $\cup$ 5-(28,14,136620) |

10053 5-(36,11,218736) (complement has $\lambda=517545$)

design of number 10050 with respect to smaller t |

6821 5-(27,14,220220) (complement has $\lambda=277200$)

design of number 6817 with respect to smaller t |

supplementary design of number 6818 |

residual design of number 6819 |

derived from number 9253 |

9253 6-(28,15,220220) (complement has $\lambda=277200$)

residual design of number 9252 |

11531 5-(27,14,221760) (complement has $\lambda=275660$)

supplementary design of number 11530 |

9738 5-(34,11,223020) (complement has $\lambda=252000$)

residual design of number 9732 |

4528 5-(29,13,223146) (complement has $\lambda=512325$)

TvT: 5-(28 |