Large Designs: lambda, v, t, k
Lehrstuhl II für Mathematik
Universität Bayreuth
D-95440 Bayreuth
Anton Betten
Reinhard Laue
Alfred Wassermann
our references in bibtex format
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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 $\lambda=29$)
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 $\lambda=6$)
896 5-(16,6,3) (complement has $\lambda=8$)
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 $\lambda=28$)
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 $\lambda=12$)
7850 5-(22,6,4) (complement has $\lambda=13$)
7848 6-(23,7,4) (complement has $\lambda=13$)
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 $\lambda=27$)
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 $\lambda=6$)
951 5-(18,6,5) (complement has $\lambda=8$)
7857 5-(22,6,5) (complement has $\lambda=12$)
7855 6-(23,7,5) (complement has $\lambda=12$)
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 $\lambda=26$)
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 $\lambda=7$)
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 $\lambda=11$)
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 $\lambda=13$)
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 $\lambda=16$)
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 $\lambda=20$)
7653 6-(32,7,6) (complement has $\lambda=20$) | $PSL(2,31)$ (>=18) \cite{Bettenetal97b} |
5322 5-(36,6,6) (complement has $\lambda=25$)
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 $\lambda=10$)
7867 6-(23,7,7) (complement has $\lambda=10$)
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 $\lambda=24$)
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 $\lambda=9$)
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 $\lambda=9$)
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 $\lambda=23$)
5447 5-(48,6,8) (complement has $\lambda=35$)
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 $\lambda=22$)
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 $\lambda=16$)
9418 6-(32,7,10) (complement has $\lambda=16$)
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 $\lambda=21$)
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 $\lambda=20$)
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 $\lambda=54$)
955 5-(18,7,12) (complement has $\lambda=66$) | \cite{Kramer75} $PGL(2,17)$ 1 isomorphism type |
2786 5-(24,7,12) (complement has $\lambda=159$)
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 $\lambda=19$)
5343 5-(38,6,12) (complement has $\lambda=21$) | \cite{Sebille98} $PGL(2,37)$ |
5403 5-(48,6,13) (complement has $\lambda=30$)
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 $\lambda=17$)
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 $\lambda=156$)
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 $\lambda=16$)
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 $\lambda=26$)
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 $\lambda=153$)
3002 5-(24,8,18) (complement has $\lambda=951$) | $PSL(2,23)$ 2 isomorphism types |
5411 5-(48,6,18) (complement has $\lambda=25$)
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 $\lambda=23$)
1510 5-(19,9,21) (complement has $\lambda=980$)
2797 5-(24,7,21) (complement has $\lambda=150$)
3022 5-(24,8,21) (complement has $\lambda=948$) | $PSL(2,23)$ 6 isomorphism types |
5423 5-(48,6,21) (complement has $\lambda=22$)
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 $\lambda=147$)
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 $\lambda=30$)
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 $\lambda=144$)
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 $\lambda=940$)
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 $\lambda=141$)
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 $\lambda=138$)
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 $\lambda=56$)
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 $\lambda=315$)
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 $\lambda=132$)
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 $\lambda=129$)
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 $\lambda=189$)
7208 5-(28,7,42) (complement has $\lambda=211$)
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 $\lambda=123$)
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 $\lambda=204$)
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 $\lambda=120$)
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 $\lambda=916$)
1145 5-(18,8,54) (complement has $\lambda=232$)
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 $\lambda=915$)
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 $\lambda=914$)
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 $\lambda=913$)
4415 5-(28,8,56) (complement has $\lambda=1715$)
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 $\lambda=912$)
7231 5-(28,7,57) (complement has $\lambda=196$)
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 $\lambda=911$)
3176 5-(24,8,59) (complement has $\lambda=910$)
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 $\lambda=111$)
3180 5-(24,8,60) (complement has $\lambda=909$)
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 $\lambda=908$)
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 $\lambda=907$)
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 $\lambda=906$)
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 $\lambda=190$)
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 $\lambda=905$)
7886 7-(24,9,64) (complement has $\lambda=72$) | PGL(2,23) (>= 15335 isom. types) \cite{Bettenetal98b} |
7250 5-(28,7,64) (complement has $\lambda=189$)
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 $\lambda=260$)
9551 6-(32,8,65) (complement has $\lambda=260$)
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 $\lambda=105$)
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 $\lambda=102$)
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 $\lambda=899$)
6299 5-(25,7,70) (complement has $\lambda=120$)
3973 5-(26,8,70) (complement has $\lambda=1260$)
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 $\lambda=183$)
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 $\lambda=897$)
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 $\lambda=96$)
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 $\lambda=893$)
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 $\lambda=93$)
3680 5-(24,9,78) (complement has $\lambda=3798$) | $PGL(2,23)$ (6 isomorphism types) |
2924 5-(24,16,78) (complement has $\lambda=75504$)
7266 5-(28,7,78) (complement has $\lambda=175$)
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 $\lambda=889$)
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 $\lambda=245$)
9570 6-(32,8,80) (complement has $\lambda=245$)
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 $\lambda=202$)
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 $\lambda=87$)
3691 5-(24,9,84) (complement has $\lambda=3792$) | $PGL(2,23)$ (11 isomorphism types) |
7054 5-(27,7,84) (complement has $\lambda=147$)
7276 5-(28,7,84) (complement has $\lambda=169$)
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 $\lambda=168$)
7284 6-(29,8,85) (complement has $\lambda=168$) | $P\Gamma L(2,27)+$ \cite{Bettenetal97b} |
9595 5-(31,7,85) (complement has $\lambda=240$)
9590 6-(32,8,85) (complement has $\lambda=240$)
9588 7-(33,9,85) (complement has $\lambda=240$) | $P\Gamma L(2,32)$ (many isomorphism types) |
3215 5-(24,8,88) (complement has $\lambda=881$)
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 $\lambda=162$)
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 $\lambda=877$)
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 $\lambda=873$)
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 $\lambda=154$)
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 $\lambda=869$)
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 $\lambda=2200$)
10645 7-(30,9,100) (complement has $\lambda=153$) | derived from number 10644 |
9439 5-(31,7,100) (complement has $\lambda=225$)
10644 8-(31,10,100) (complement has $\lambda=153$) | $PSL(3,5)$ (1658 isom. types) \cite{Bettenetal98} |
9434 6-(32,8,100) (complement has $\lambda=225$)
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 $\lambda=865$)
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 $\lambda=126$)
7165 5-(28,7,105) (complement has $\lambda=148$)
7309 5-(28,8,105) (complement has $\lambda=1666$)
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 $\lambda=220$)
9454 6-(32,8,105) (complement has $\lambda=220$)
9452 7-(33,9,105) (complement has $\lambda=220$) | $P\Gamma L(2,32)$ (many isomorphism types) |
7174 5-(28,7,106) (complement has $\lambda=147$)
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 $\lambda=252$)
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 $\lambda=857$)
7184 5-(28,7,112) (complement has $\lambda=141$)
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 $\lambda=170$)
7811 6-(19,9,116) (complement has $\lambda=170$)
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 $\lambda=853$)
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 $\lambda=849$)
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 $\lambda=133$)
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 $\lambda=205$)
9461 6-(32,8,120) (complement has $\lambda=205$)
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 $\lambda=164$)
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 $\lambda=162$)
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 $\lambda=1645$)
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 $\lambda=837$)
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 $\lambda=152$)
7823 6-(19,9,134) (complement has $\lambda=152$)
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 $\lambda=150$)
2960 5-(24,8,136) (complement has $\lambda=833$)
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 $\lambda=861$)
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 $\lambda=540$)
2963 5-(24,8,140) (complement has $\lambda=829$)
9496 5-(31,7,140) (complement has $\lambda=185$)
9491 6-(32,8,140) (complement has $\lambda=185$)
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 $\lambda=825$)
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 $\lambda=180$)
9511 6-(32,8,145) (complement has $\lambda=180$)
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 $\lambda=817$)
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 $\lambda=1617$)
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 $\lambda=813$)
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 $\lambda=809$)
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 $\lambda=165$)
9531 6-(32,8,160) (complement has $\lambda=165$)
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 $\lambda=805$)
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 $\lambda=801$)
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 $\lambda=180$)
9615 6-(33,8,171) (complement has $\lambda=180$)
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 $\lambda=793$)
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 $\lambda=500$)
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 $\lambda=960$)
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 $\lambda=960$)
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 $\lambda=785$)
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 $\lambda=210$)
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 $\lambda=769$)
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 $\lambda=1120$)
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 $\lambda=460$)
4814 5-(30,12,220) (complement has $\lambda=480480$)
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 $\lambda=630$)
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 $\lambda=2100$)
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 $\lambda=681$)
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 $\lambda=652$)
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 $\lambda=2000$)
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 $\lambda=1050$)
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 $\lambda=5670$)
287 5-(49,7,316) (complement has $\lambda=630$)
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 $\lambda=645$)
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 $\lambda=26796$)
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 $\lambda=1470$)
5563 6-(22,10,350) (complement has $\lambda=1470$)
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 $\lambda=576$)
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 $\lambda=1365$)
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 $\lambda=1960$)
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 $\lambda=1120$)
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 $\lambda=1302$)
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 $\lambda=1544$)
9282 6-(30,9,480) (complement has $\lambda=1544$)
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 $\lambda=1890$)
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 $\lambda=3384$)
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 $\lambda=1267$)
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 $\lambda=1239$)
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 $\lambda=4305$)
3983 5-(26,9,540) (complement has $\lambda=5445$)
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 $\lambda=4305$)
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 $\lambda=5642$)
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 $\lambda=5628$)
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 $\lambda=5600$)
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 $\lambda=2000$)
5089 5-(32,8,600) (complement has $\lambda=2325$) | $AGL(4,2)\times C_2$ 897 solutions |
9346 6-(32,9,600) (complement has $\lambda=2000$)
9344 7-(33,10,600) (complement has $\lambda=2000$) | $P\Gamma L(2,32)$ (many isomorphism types) |
2063 5-(22,10,602) (complement has $\lambda=5586$)
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 $\lambda=1190$)
5581 6-(21,10,630) (complement has $\lambda=735$)
1979 5-(22,9,630) (complement has $\lambda=1750$)
2070 5-(22,10,630) (complement has $\lambda=5558$)
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 $\lambda=5355$)
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 $\lambda=700$)
7387 5-(28,8,630) (complement has $\lambda=1141$)
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 $\lambda=1099$)
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 $\lambda=4170$)
8027 6-(26,10,675) (complement has $\lambda=4170$)
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 $\lambda=5502$)
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 $\lambda=3180$)
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 $\lambda=2225$)
5238 5-(33,8,700) (complement has $\lambda=2576$) | \cite{Sebille98} $P\Gamma L(2,32)$ |
3654 5-(24,9,702) (complement has $\lambda=3174$)
2607 5-(24,10,702) (complement has $\lambda=10926$) | $PSL(2,23)$ (6096 isomorphism types) \cite{KitazumeMunemasa97} |
5125 5-(32,8,705) (complement has $\lambda=2220$)
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 $\lambda=3162$)
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 $\lambda=1880$)
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 $\lambda=1880$)
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 $\lambda=5460$)
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 $\lambda=3144$)
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 $\lambda=3132$)
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 $\lambda=3126$)
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 $\lambda=5432$)
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 $\lambda=3112$)
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 $\lambda=4080$)
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 $\lambda=5418$)
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 $\lambda=3096$)
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 $\lambda=5390$)
7416 5-(28,8,798) (complement has $\lambda=973$)
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 $\lambda=3066$)
2633 5-(24,10,810) (complement has $\lambda=10818$) | $PSL(2,23)$ (356 isomorphism types) \cite{KitazumeMunemasa97} |
8063 5-(25,9,810) (complement has $\lambda=4035$)
8059 6-(26,10,810) (complement has $\lambda=4035$)
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 $\lambda=5376$)
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 $\lambda=952$)
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 $\lambda=945$)
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 $\lambda=5348$)
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 $\lambda=980$)
5570 6-(22,11,840) (complement has $\lambda=3528$)
7832 6-(23,10,840) (complement has $\lambda=1540$) | residual design of number 7829 |
3693 5-(24,9,840) (complement has $\lambda=3036$)
8080 5-(25,9,840) (complement has $\lambda=4005$)
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 $\lambda=4005$)
8073 7-(27,11,840) (complement has $\lambda=4005$)
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 $\lambda=910$)
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 $\lambda=3006$)
4454 5-(28,8,875) (complement has $\lambda=896$) | $S_8^{[2]}$ (>=1 isom. types) |
3701 5-(24,9,876) (complement has $\lambda=3000$)
9403 5-(31,8,880) (complement has $\lambda=1720$)
9398 6-(32,9,880) (complement has $\lambda=1720$)
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 $\lambda=5306$)
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 $\lambda=2040$)
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 $\lambda=5292$)
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 $\lambda=3945$)
8094 6-(26,10,900) (complement has $\lambda=3945$)
8092 7-(27,11,900) (complement has $\lambda=3945$)
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 $\lambda=1470$)
6995 5-(27,9,910) (complement has $\lambda=6405$)
6993 6-(28,10,910) (complement has $\lambda=6405$)
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 $\lambda=3915$)
8114 6-(26,10,930) (complement has $\lambda=3915$)
8112 7-(27,11,930) (complement has $\lambda=3915$)
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 $\lambda=5250$)
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 $\lambda=3900$)
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 $\lambda=3900$)
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 $\lambda=3900$)
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 $\lambda=9700$)
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 $\lambda=5222$)
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 $\lambda=5208$)
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 $\lambda=5180$)
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 $\lambda=10620$)
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 $\lambda=5166$)
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 $\lambda=3810$)
8153 6-(26,10,1035) (complement has $\lambda=3810$)
8151 7-(27,11,1035) (complement has $\lambda=3810$)
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 $\lambda=1330$)
2175 5-(22,10,1050) (complement has $\lambda=5138$)
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 $\lambda=9600$)
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 $\lambda=3765$)
8172 6-(26,10,1080) (complement has $\lambda=3765$)
8171 7-(27,11,1080) (complement has $\lambda=3765$)
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 $\lambda=3415$)
7691 6-(37,9,1080) (complement has $\lambda=3415$) | $Sp(6,2)_36+$ (many isom. types) |
5133 5-(32,8,1085) (complement has $\lambda=1840$)
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 $\lambda=3735$)
8183 6-(26,10,1110) (complement has $\lambda=3735$)
8181 7-(27,11,1110) (complement has $\lambda=3735$)
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 $\lambda=1805$)
9492 6-(32,9,1120) (complement has $\lambda=1480$) | residual design of number 9489 |
5355 5-(46,8,1120) (complement has $\lambda=9540$)
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 $\lambda=3675$)
8203 6-(26,10,1170) (complement has $\lambda=3675$)
8201 7-(27,11,1170) (complement has $\lambda=3675$)
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 $\lambda=2700$)
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 $\lambda=3645$)
8222 6-(26,10,1200) (complement has $\lambda=3645$)
8220 7-(27,11,1200) (complement has $\lambda=3645$)
2069 5-(22,11,1204) (complement has $\lambda=11172$) | Alltop construction for design number 2066 |
5145 5-(32,8,1205) (complement has $\lambda=1720$)
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 $\lambda=3630$)
8237 6-(26,10,1215) (complement has $\lambda=3630$)
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 $\lambda=9440$)
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 $\lambda=6090$)
6832 6-(28,10,1225) (complement has $\lambda=6090$)
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 $\lambda=4928$)
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 $\lambda=2610$)
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 $\lambda=9380$)
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 $\lambda=1625$)
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 $\lambda=4886$)
3321 5-(24,9,1302) (complement has $\lambda=2574$) | $PGL(2,23)$ (>1 isomorphism types) |
8249 5-(25,9,1305) (complement has $\lambda=3540$)
8247 6-(26,10,1305) (complement has $\lambda=3540$)
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 $\lambda=3510$)
8258 6-(26,10,1335) (complement has $\lambda=3510$)
8256 7-(27,11,1335) (complement has $\lambda=3510$)
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 $\lambda=3495$)
8276 6-(26,10,1350) (complement has $\lambda=3495$)
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 $\lambda=2520$)
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 $\lambda=3465$)
8286 6-(26,10,1380) (complement has $\lambda=3465$)
8284 7-(27,11,1380) (complement has $\lambda=3465$)
5367 5-(46,8,1380) (complement has $\lambda=9280$)
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 $\lambda=4802$)
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 $\lambda=3405$)
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 $\lambda=9220$)
5153 5-(32,8,1445) (complement has $\lambda=1480$)
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 $\lambda=3375$)
8306 6-(26,10,1470) (complement has $\lambda=3375$)
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 $\lambda=3360$)
8310 6-(26,10,1485) (complement has $\lambda=3360$)
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 $\lambda=2376$)
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 $\lambda=4676$)
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 $\lambda=2856$)
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 $\lambda=3330$)
8319 6-(26,10,1515) (complement has $\lambda=3330$)
8317 7-(27,11,1515) (complement has $\lambda=3330$)
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 $\lambda=2340$)
7936 6-(25,10,1536) (complement has $\lambda=2340$)
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 $\lambda=2520$)
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 $\lambda=2310$)
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 $\lambda=3270$)
8338 6-(26,10,1575) (complement has $\lambda=3270$)
8337 7-(27,11,1575) (complement has $\lambda=3270$) | \cite{Sebille98} $AGL(3,3)$ |
4458 5-(28,9,1575) (complement has $\lambda=7280$)
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 $\lambda=3240$)
8347 6-(26,10,1605) (complement has $\lambda=3240$)
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 $\lambda=3225$)
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 $\lambda=5670$)
8369 5-(25,9,1650) (complement has $\lambda=3195$)
8364 6-(26,10,1650) (complement has $\lambda=3195$)
8362 7-(27,11,1650) (complement has $\lambda=3195$)
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 $\lambda=9954$)
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 $\lambda=9936$)
6333 5-(26,10,1701) (complement has $\lambda=18648$)
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 $\lambda=2160$)
7951 7-(26,11,1716) (complement has $\lambda=2160$) | $P\Gamma L(2,25)$(>=1 isom. type) |
5590 5-(22,10,1722) (complement has $\lambda=4466$)
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 $\lambda=3105$)
8379 6-(26,10,1740) (complement has $\lambda=3105$)
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 $\lambda=3090$)
8390 6-(26,10,1755) (complement has $\lambda=3090$)
8388 7-(27,11,1755) (complement has $\lambda=3090$)
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 $\lambda=9864$)
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 $\lambda=9846$)
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 $\lambda=3060$)
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 $\lambda=3000$)
8415 6-(26,10,1845) (complement has $\lambda=3000$)
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 $\lambda=2520$)
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 $\lambda=2970$)
8425 6-(26,10,1875) (complement has $\lambda=2970$)
8423 7-(27,11,1875) (complement has $\lambda=2970$)
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 $\lambda=4298$)
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 $\lambda=2955$)
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 $\lambda=2955$)
6844 5-(27,9,1890) (complement has $\lambda=5425$)
8437 7-(27,11,1890) (complement has $\lambda=2955$)
6842 6-(28,10,1890) (complement has $\lambda=5425$)
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 $\lambda=13608$)
7959 6-(25,10,1896) (complement has $\lambda=1980$)
8592 6-(26,11,1896) (complement has $\lambda=13608$)
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 $\lambda=2925$)
8458 6-(26,10,1920) (complement has $\lambda=2925$)
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 $\lambda=1950$)
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 $\lambda=1944$)
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 $\lambda=13560$)
8616 6-(26,11,1944) (complement has $\lambda=13560$)
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 $\lambda=2520$)
7701 6-(37,9,1975) (complement has $\lambda=2520$) | $Sp(6,2)_36+$ (many isom. types) |
8464 5-(25,9,1980) (complement has $\lambda=2865$)
8462 6-(26,10,1980) (complement has $\lambda=2865$)
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 $\lambda=2835$)
8471 6-(26,10,2010) (complement has $\lambda=2835$)
8469 7-(27,11,2010) (complement has $\lambda=2835$)
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 $\lambda=2820$)
8488 6-(26,10,2025) (complement has $\lambda=2820$)
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 $\lambda=2790$)
8497 6-(26,10,2055) (complement has $\lambda=2790$)
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 $\lambda=18270$)
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 $\lambda=2730$)
8508 6-(26,10,2115) (complement has $\lambda=2730$)
8506 7-(27,11,2115) (complement has $\lambda=2730$)
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 $\lambda=5185$)
9192 6-(28,10,2130) (complement has $\lambda=5185$)
9190 7-(29,11,2130) (complement has $\lambda=5185$) | $P\Gamma L(2,27)+$ (>= 1 isom. types) |
5610 5-(22,10,2142) (complement has $\lambda=4046$)
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 $\lambda=2700$)
8526 6-(26,10,2145) (complement has $\lambda=2700$)
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 $\lambda=5145$)
6852 6-(28,10,2170) (complement has $\lambda=5145$)
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 $\lambda=2655$)
8537 6-(26,10,2190) (complement has $\lambda=2655$)
8536 7-(27,11,2190) (complement has $\lambda=2655$) | \cite{Sebille98} $AGL(3,3)$ |
7713 5-(36,8,2200) (complement has $\lambda=2295$)
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 $\lambda=5110$)
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 $\lambda=5110$)
5621 5-(22,10,2226) (complement has $\lambda=3962$)
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 $\lambda=2595$)
8547 6-(26,10,2250) (complement has $\lambda=2595$)
8545 7-(27,11,2250) (complement has $\lambda=2595$)
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 $\lambda=24822$)
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 $\lambda=2520$)
8570 6-(26,10,2325) (complement has $\lambda=2520$)
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 $\lambda=2460$)
8579 6-(26,10,2385) (complement has $\lambda=2460$)
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 $\lambda=2430$)
8586 6-(26,10,2415) (complement has $\lambda=2430$)
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 $\lambda=3668$)
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 $\lambda=4795$)
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 $\lambda=4795$)
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 $\lambda=9090$)
8630 5-(25,10,2544) (complement has $\lambda=12960$)
8628 6-(26,11,2544) (complement has $\lambda=12960$)
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 $\lambda=3626$)
6884 5-(27,9,2590) (complement has $\lambda=4725$)
6882 6-(28,10,2590) (complement has $\lambda=4725$)
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 $\lambda=3392$)
7740 6-(40,9,2592) (complement has $\lambda=3392$)
7752 5-(39,8,2600) (complement has $\lambda=3384$)
7750 6-(40,9,2600) (complement has $\lambda=3384$)
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 $\lambda=17703$)
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 $\lambda=3458$)
7762 5-(39,8,2736) (complement has $\lambda=3248$)
7760 6-(40,9,2736) (complement has $\lambda=3248$)
7772 5-(39,8,2744) (complement has $\lambda=3240$)
7770 6-(40,9,2744) (complement has $\lambda=3240$)
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 $\lambda=3416$)
2202 5-(22,11,2772) (complement has $\lambda=9604$) | Alltop construction for design number 2199 |
5665 5-(23,10,2772) (complement has $\lambda=5796$)
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 $\lambda=4515$)
6893 6-(28,10,2800) (complement has $\lambda=4515$)
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 $\lambda=3290$)
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 $\lambda=4410$)
6903 6-(28,10,2905) (complement has $\lambda=4410$)
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 $\lambda=4375$)
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 $\lambda=4375$)
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 $\lambda=3206$)
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 $\lambda=4200$)
6923 6-(28,10,3115) (complement has $\lambda=4200$)
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 $\lambda=4165$)
7388 5-(28,9,3150) (complement has $\lambda=5705$) | residual design of number 7385 |
6933 6-(28,10,3150) (complement has $\lambda=4165$)
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 $\lambda=12312$)
8646 6-(26,11,3192) (complement has $\lambda=12312$)
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 $\lambda=4095$)
6943 6-(28,10,3220) (complement has $\lambda=4095$)
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 $\lambda=4060$)
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 $\lambda=4060$)
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 $\lambda=20391$)
9791 6-(35,10,3360) (complement has $\lambda=20391$)
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 $\lambda=3885$)
6963 6-(28,10,3430) (complement has $\lambda=3885$)
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 $\lambda=3780$)
6973 6-(28,10,3535) (complement has $\lambda=3780$)
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 $\lambda=3745$)
6983 6-(28,10,3570) (complement has $\lambda=3745$)
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 $\lambda=6820$)
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 $\lambda=23100$)
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 $\lambda=6500$)
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 $\lambda=19551$)
9811 6-(35,10,4200) (complement has $\lambda=19551$)
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 $\lambda=49896$)
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 $\lambda=10968$)
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 $\lambda=10968$)
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 $\lambda=19215$)
9831 6-(35,10,4536) (complement has $\lambda=19215$)
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 $\lambda=6080$)
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 $\lambda=22512$)
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 $\lambda=18816$)
9851 6-(35,10,4935) (complement has $\lambda=18816$)
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 $\lambda=22176$)
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 $\lambda=18711$)
9871 6-(35,10,5040) (complement has $\lambda=18711$)
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 $\lambda=5544$)
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 $\lambda=18480$)
9891 6-(35,10,5271) (complement has $\lambda=18480$)
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 $\lambda=9670$)
5157 6-(32,10,5280) (complement has $\lambda=9670$)
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 $\lambda=18375$)
9911 6-(35,10,5376) (complement has $\lambda=18375$)
9909 7-(36,11,5376) (complement has $\lambda=18375$) | $Sp(6,2)_36$ (many isomorphism types) |
4824 5-(30,14,5390) (complement has $\lambda=2037585$)
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 $\lambda=17976$)
9931 6-(35,10,5775) (complement has $\lambda=17976$)
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 $\lambda=9672$)
8695 6-(26,11,5832) (complement has $\lambda=9672$)
8693 7-(27,12,5832) (complement has $\lambda=9672$)
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 $\lambda=17871$)
9951 6-(35,10,5880) (complement has $\lambda=17871$)
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 $\lambda=17640$)
9971 6-(35,10,6111) (complement has $\lambda=17640$)
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 $\lambda=17535$)
9991 6-(35,10,6216) (complement has $\lambda=17535$)
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 $\lambda=8710$)
5167 6-(32,10,6240) (complement has $\lambda=8710$)
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 $\lambda=8560$)
5177 6-(32,10,6390) (complement has $\lambda=8560$)
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 $\lambda=12054$)
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 $\lambda=8080$)
5187 6-(32,10,6870) (complement has $\lambda=8080$)
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 |