Large Designs: lambda, v, t, k


Lehrstuhl II für Mathematik

Universität Bayreuth
D-95440 Bayreuth

Anton Betten
Reinhard Laue
Alfred Wassermann

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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