Large Designs: v, t, k, lambda


Lehrstuhl II für Mathematik

Universität Bayreuth
D-95440 Bayreuth

Anton Betten
Reinhard Laue
Alfred Wassermann

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creation date: Thu Mar 11 15:28:03 MET 1999

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


on 12 points:


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)

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

306 5-(12,6,3) (complement has $\lambda=4$)
Alltop construction for design number 303
Alltop construction


on 13 points:


872 5-(13,6,4) (selfcomplementary)
\cite{Kreher86a}
derived from number 878
derived from complement of number 878

873 5-(13,7,14) (selfcomplementary)
supplementary design of number 872
residual design of number 878
residual design of complement of number 878


on 14 points:


886 5-(14,6,3) (complement has $\lambda=6$)
Brouwer 1977/1986

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))

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

878 6-(14,7,4) (selfcomplementary)
Alltop construction for design number 872
$C_{13}+$ (2 isom. types) \cite{KreherRadziszowski86}, Halving of the complete design


on 15 points:


893 5-(15,7,15) (complement has $\lambda=30$)
TvT: 5-(14,6,3) $\cup$ 5-(14,7,12) \cite{TranvanTrung86}

894 5-(15,8,40) (complement has $\lambda=80$)
supplementary design of number 893


on 16 points:


896 5-(16,6,3) (complement has $\lambda=8$)
Brouwer 1977/1986

900 5-(16,6,5) (complement has $\lambda=6$)
Brouwer 1977/1986

904 5-(16,7,15) (complement has $\lambda=40$)
$A_4\times D_4$ 42 solutions
Brouwer 1977/1986

906 5-(16,7,20) (complement has $\lambda=35$)
$HoL(C_{16})$ Wassermann 152 solutions

909 5-(16,7,25) (complement has $\lambda=30$)
$A_4\times A_4$

310 5-(16,8,20) (complement has $\lambda=145$)
Alltop construction for design number 307
Alltop construction
Alltop construction

314 5-(16,8,25) (complement has $\lambda=140$)
Alltop construction for design number 311
Alltop construction
Alltop construction

318 5-(16,8,30) (complement has $\lambda=135$)
Alltop construction for design number 315
Alltop construction

322 5-(16,8,35) (complement has $\lambda=130$)
Alltop construction for design number 319
Alltop construction

326 5-(16,8,40) (complement has $\lambda=125$)
Alltop construction for design number 323
Alltop construction

330 5-(16,8,45) (complement has $\lambda=120$)
Alltop construction for design number 327
$A_4\times D_4$ 1322 solutions
Alltop construction

334 5-(16,8,50) (complement has $\lambda=115$)
Alltop construction for design number 331
Alltop construction

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

342 5-(16,8,60) (complement has $\lambda=105$)
Alltop construction for design number 339
$A_4\times A_4$
Alltop construction

346 5-(16,8,65) (complement has $\lambda=100$)
Alltop construction for design number 343
$A_4\times A_4$
Alltop construction

350 5-(16,8,70) (complement has $\lambda=95$)
Alltop construction for design number 347
Alltop construction

354 5-(16,8,75) (complement has $\lambda=90$)
Alltop construction for design number 351
Alltop construction

358 5-(16,8,80) (complement has $\lambda=85$)
Alltop construction for design number 355
Alltop construction


on 17 points:


915 5-(17,7,12) (complement has $\lambda=54$)
Brouwer 1977/1986

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}

921 5-(17,7,24) (complement has $\lambda=42$)
Brouwer 1977/1986 $Hol(C_{17})$

924 5-(17,7,30) (complement has $\lambda=36$)
TvT: 5-(16,6,5) $\cup$ 5-(16,7,25)

933 5-(17,8,60) (complement has $\lambda=160$)
TvT: 5-(16,7,15) $\cup$ 5-(16,8,45) \cite{TranvanTrung86}

940 5-(17,8,80) (complement has $\lambda=140$)
\cite{Kramer75} $PGL(2,16)$

926 5-(17,8,100) (complement has $\lambda=120$)
TvT: 5-(16,7,25) $\cup$ 5-(16,8,75)

934 5-(17,9,135) (complement has $\lambda=360$)
supplementary design of number 933

941 5-(17,9,180) (complement has $\lambda=315$)
supplementary design of number 940

927 5-(17,9,225) (complement has $\lambda=270$)
supplementary design of number 926


on 18 points:


947 5-(18,6,4) (complement has $\lambda=9$)
\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types
derived from number 5524

951 5-(18,6,5) (complement has $\lambda=8$)
\cite{Brouwer86}

5526 5-(18,6,6) (complement has $\lambda=7$)
derived from number 5525

973 5-(18,7,6) (complement has $\lambda=72$)
\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type, block-transitive

955 5-(18,7,12) (complement has $\lambda=66$)
\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type

959 5-(18,7,18) (complement has $\lambda=60$)
\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type

963 5-(18,7,24) (complement has $\lambda=54$)
\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types
residual design of number 5524

966 5-(18,7,30) (complement has $\lambda=48$)
\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types

969 5-(18,7,36) (complement has $\lambda=42$)
\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types
residual design of number 5525

1159 5-(18,8,6) (complement has $\lambda=280$)
$PGL(2,16)+$ 1 isomorphism type
\cite{MacWilliams78}

1056 5-(18,8,14) (complement has $\lambda=272$)
\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type

1077 5-(18,8,16) (complement has $\lambda=270$)
\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type, block-transitive

1084 5-(18,8,30) (complement has $\lambda=256$)
\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type

1091 5-(18,8,32) (complement has $\lambda=254$)
\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types

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)

1105 5-(18,8,40) (complement has $\lambda=246$)
$PGL(2,16)+$ 1 isomorphism type
\cite{MacWilliams78}

1112 5-(18,8,42) (complement has $\lambda=244$)
$Id_2\times PGL(2,8)$ 738 solutions

1119 5-(18,8,44) (complement has $\lambda=242$)
\cite{Kramer75} $PGL(2,17)$ 1 isomorphism type

1125 5-(18,8,46) (complement has $\lambda=240$)
\cite{Kramer75} $PGL(2,17)$ 3 isomorphism types $PGL(2,16)+$ 1 isomorphism type

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

1139 5-(18,8,52) (complement has $\lambda=234$)
$PSL(2,8)\times Id_2$ (many solutions)

1145 5-(18,8,54) (complement has $\lambda=232$)
$Id_2\times PGL(2,8)$

1152 5-(18,8,56) (complement has $\lambda=230$)
$C_2\times PGL(2,8)$ 1181 solutions

1166 5-(18,8,60) (complement has $\lambda=226$)
\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types

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

1180 5-(18,8,64) (complement has $\lambda=222$)
\cite{Kramer75} $PGL(2,17)$ 8 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

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)

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

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}

1209 5-(18,8,80) (complement has $\lambda=206$)
$C_2\times PGL(2,8)$
\cite{Kramer75} $PGL(2,17)$ 9 isomorphism types

1216 5-(18,8,82) (complement has $\lambda=204$)
\cite{Kramer75}
\cite{Kramer75} $PGL(2,17)$ 4 isomorphism types

1223 5-(18,8,84) (complement has $\lambda=202$)
$Id_2\times PGL(2,8)$

1230 5-(18,8,90) (complement has $\lambda=196$)
$Id_2\times PGL(2,8)$
$PSL(2,8)\times Id_2$ (many solutions)

1237 5-(18,8,92) (complement has $\lambda=194$)
\cite{Kramer75} $PGL(2,17)$ 8 isomorphism types

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)

1251 5-(18,8,96) (complement has $\lambda=190$)
\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types

1258 5-(18,8,98) (complement has $\lambda=188$)
\cite{Kramer75} $PGL(2,17)$ 6 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}

979 5-(18,8,108) (complement has $\lambda=178$)
\cite{Kramer75} $PGL(2,17)$ 12 isomorphism types

986 5-(18,8,110) (complement has $\lambda=176$)
\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types $PGL(2,16)+$ 32 isomorphism types

992 5-(18,8,112) (complement has $\lambda=174$)
\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types

999 5-(18,8,114) (complement has $\lambda=172$)
\cite{Kramer75} $PGL(2,17)$ 9 isomorphism types

7813 5-(18,8,116) (complement has $\lambda=170$)
derived from number 7811

1006 5-(18,8,118) (complement has $\lambda=168$)
$C_2\times PGL(2,8)$
$PSL(2,8)\times C_2$ (many solutions)

1013 5-(18,8,122) (complement has $\lambda=164$)
$Id_2\times PGL(2,8)$

1020 5-(18,8,124) (complement has $\lambda=162$)
\cite{Kramer75} $PGL(2,17)$ 15 isomorphism types
derived from number 7818

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

1034 5-(18,8,128) (complement has $\lambda=158$)
\cite{Kramer75} $PGL(2,17)$ 5 isomorphism types

1041 5-(18,8,130) (complement has $\lambda=156$)
\cite{Kramer75} $PGL(2,17)$ 11 isomorphism types

1043 5-(18,8,132) (complement has $\lambda=154$)
$Id_2\times PGL(2,8)$
$PSL(2,8)\times Id_2$ (many solutions)

7825 5-(18,8,134) (complement has $\lambda=152$)
derived from number 7823

1049 5-(18,8,136) (complement has $\lambda=150$)
$C_2\times PGL(2,8)$

1063 5-(18,8,140) (complement has $\lambda=146$)
\cite{Kramer75} $PGL(2,17)$ 14 isomorphism types

1070 5-(18,8,142) (complement has $\lambda=144$)
\cite{Kramer75} $PGL(2,17)$ 5 isomorphism types

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

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

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))

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)) $Hol(C_17)+$

1321 5-(18,9,45) (complement has $\lambda=670$)
\cite{Kramer75}
Alltop construction for design number 1323
\cite{Brouwer86} $Hol(C_17)+$

1325 5-(18,9,50) (complement has $\lambda=665$)
\cite{Kramer75}
Alltop construction for design number 1327
\cite{Brouwer86} $Hol(C_17)+$

1329 5-(18,9,55) (complement has $\lambda=660$)
\cite{Kramer75}
Alltop construction for design number 1331
\cite{Brouwer86} $Hol(C_17)+$

1333 5-(18,9,60) (complement has $\lambda=655$)
\cite{Kramer75}
Alltop construction for design number 1335
\cite{Brouwer86} $Hol(C_17)+$

1337 5-(18,9,65) (complement has $\lambda=650$)
\cite{Kramer75}
Alltop construction for design number 1339
\cite{Brouwer86} $Hol(C_17)+$

1341 5-(18,9,70) (complement has $\lambda=645$)
\cite{Kramer75}
Alltop construction for design number 1343

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))

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

1345 5-(18,9,85) (complement has $\lambda=630$)
\cite{Kramer75}
Alltop construction for design number 1347

1349 5-(18,9,90) (complement has $\lambda=625$)
\cite{Kramer75}
Alltop construction for design number 1351
\cite{Brouwer86} $Hol(C_17)+$

1104 5-(18,9,95) (complement has $\lambda=620$)
Alltop construction for design number 1101
\cite{Kramer75} $PGL(2,16)+$ 16 isomorphism types

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

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}

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))

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

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

1265 5-(18,9,125) (complement has $\lambda=590$)
\cite{Kramer75}
Alltop construction for design number 1267

1144 5-(18,9,130) (complement has $\lambda=585$)
Alltop construction for design number 1141
\cite{Kramer75}
\cite{Brouwer86} $Hol(C_17)+$

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

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

1269 5-(18,9,145) (complement has $\lambda=570$)
\cite{Kramer75}
Alltop construction for design number 1271

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))

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

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

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))

1273 5-(18,9,170) (complement has $\lambda=545$)
\cite{Brouwer86} $Hol(C_17)+$
Alltop construction for design number 1275

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

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} $Hol(C_17)+$

1281 5-(18,9,185) (complement has $\lambda=530$)
$PSL(2,17)$ 1 isomorphism type
Alltop construction for design number 1283
\cite{Kramer75}

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))

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

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

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} $Hol(C_17)+$

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

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

1236 5-(18,9,225) (complement has $\lambda=490$)
Alltop construction for design number 1233
\cite{Kramer75} $PGL(2,17)$ 2 isomorphism types

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))

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

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))

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} $Hol(C_17)+$

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

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

1301 5-(18,9,265) (complement has $\lambda=450$)
\cite{Kramer75} $PGL(2,17)$ 6 isomorphism types
Alltop construction for design number 1303

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))

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

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))

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

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} $Hol(C_17)+$

1019 5-(18,9,305) (complement has $\lambda=410$)
Alltop construction for design number 1016
$PSL(2,17)$ 6 isomorphism types
\cite{Kramer75}

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

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

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

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

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

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

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))

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

7814 5-(18,10,522) (complement has $\lambda=765$)
residual design of number 7812

7820 5-(18,10,558) (complement has $\lambda=729$)
residual design of number 7819

5531 5-(18,10,567) (complement has $\lambda=720$)
residual design of number 5528

7826 5-(18,10,603) (complement has $\lambda=684$)
residual design of number 7824


on 19 points:


1416 5-(19,6,4) (complement has $\lambda=10$)
$Hol(C_{19})$ (255 isom. types) \cite{Bettenetal98b}

1420 5-(19,6,6) (complement has $\lambda=8$)
$Hol(C_{19})$ (17193 isom. types) #blocks = #5-subsets \cite{Bettenetal98b}

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

1426 5-(19,7,35) (complement has $\lambda=56$)
Brouwer 1977/1986

1428 5-(19,7,42) (complement has $\lambda=49$)
Brouwer 1977/1986
design of number 5525 with respect to smaller t

1435 5-(19,8,56) (complement has $\lambda=308$)
TvT: 5-(18,7,12) $\cup$ 5-(18,8,44) \cite{TranvanTrung86}

1437 5-(19,8,84) (complement has $\lambda=280$)
TvT: 5-(18,7,18) $\cup$ 5-(18,8,66) \cite{TranvanTrung86}

5534 5-(19,8,112) (complement has $\lambda=252$)
derived from number 5533

1431 5-(19,8,140) (complement has $\lambda=224$)
TvT: 5-(18,7,30) $\cup$ 5-(18,8,110) \cite{TranvanTrung86}

1433 5-(19,8,168) (complement has $\lambda=196$)
TvT: 5-(18,7,36) $\cup$ 5-(18,8,132)

1510 5-(19,9,21) (complement has $\lambda=980$)
Brouwer 1977/1986

1655 5-(19,9,49) (complement has $\lambda=952$)
TvT: 5-(18,8,14) $\cup$ 5-(18,9,35) \cite{TranvanTrung86}

1670 5-(19,9,56) (complement has $\lambda=945$)
TvT: 5-(18,8,16) $\cup$ 5-(18,9,40) \cite{TranvanTrung86}

1439 5-(19,9,105) (complement has $\lambda=896$)
TvT: 5-(18,8,30) $\cup$ 5-(18,9,75) \cite{TranvanTrung86}

1446 5-(19,9,112) (complement has $\lambda=889$)
TvT: 5-(18,8,32) $\cup$ 5-(18,9,80) \cite{TranvanTrung86}

1453 5-(19,9,133) (complement has $\lambda=868$)
TvT: 5-(18,8,38) $\cup$ 5-(18,9,95)

1460 5-(19,9,140) (complement has $\lambda=861$)
Brouwer 1977/1986

1467 5-(19,9,147) (complement has $\lambda=854$)
TvT: 5-(18,8,42) $\cup$ 5-(18,9,105)

1474 5-(19,9,154) (complement has $\lambda=847$)
TvT: 5-(18,8,44) $\cup$ 5-(18,9,110) \cite{TranvanTrung86}

1478 5-(19,9,161) (complement has $\lambda=840$)
TvT: 5-(18,8,46) $\cup$ 5-(18,9,115) \cite{TranvanTrung86}

1485 5-(19,9,168) (complement has $\lambda=833$)
TvT: 5-(18,8,48) $\cup$ 5-(18,9,120) \cite{TranvanTrung86}

1489 5-(19,9,182) (complement has $\lambda=819$)
TvT: 5-(18,8,52) $\cup$ 5-(18,9,130)

1496 5-(19,9,189) (complement has $\lambda=812$)
TvT: 5-(18,8,54) $\cup$ 5-(18,9,135)

1503 5-(19,9,196) (complement has $\lambda=805$)
TvT: 5-(18,8,56) $\cup$ 5-(18,9,140)

1517 5-(19,9,210) (complement has $\lambda=791$)
TvT: 5-(18,8,60) $\cup$ 5-(18,9,150) \cite{TranvanTrung86}

1524 5-(19,9,217) (complement has $\lambda=784$)
TvT: 5-(18,8,62) $\cup$ 5-(18,9,155) \cite{TranvanTrung86}

1528 5-(19,9,224) (complement has $\lambda=777$)
TvT: 5-(18,8,64) $\cup$ 5-(18,9,160) \cite{TranvanTrung86}

1532 5-(19,9,231) (complement has $\lambda=770$)
TvT: 5-(18,8,66) $\cup$ 5-(18,9,165) \cite{TranvanTrung86}

1536 5-(19,9,245) (complement has $\lambda=756$)
TvT: 5-(18,8,70) $\cup$ 5-(18,9,175)

1543 5-(19,9,266) (complement has $\lambda=735$)
TvT: 5-(18,8,76) $\cup$ 5-(18,9,190) \cite{TranvanTrung86}

1547 5-(19,9,273) (complement has $\lambda=728$)
TvT: 5-(18,8,78) $\cup$ 5-(18,9,195) \cite{TranvanTrung86}

1551 5-(19,9,280) (complement has $\lambda=721$)
TvT: 5-(18,8,80) $\cup$ 5-(18,9,200) \cite{TranvanTrung86}

1558 5-(19,9,287) (complement has $\lambda=714$)
TvT: 5-(18,8,82) $\cup$ 5-(18,9,205) \cite{TranvanTrung86}

1562 5-(19,9,294) (complement has $\lambda=707$)
TvT: 5-(18,8,84) $\cup$ 5-(18,9,210)

5535 5-(19,9,308) (complement has $\lambda=693$)
residual design of number 5533

1569 5-(19,9,315) (complement has $\lambda=686$)
TvT: 5-(18,8,90) $\cup$ 5-(18,9,225)

1576 5-(19,9,322) (complement has $\lambda=679$)
TvT: 5-(18,8,92) $\cup$ 5-(18,9,230) \cite{TranvanTrung86}

1580 5-(19,9,329) (complement has $\lambda=672$)
TvT: 5-(18,8,94) $\cup$ 5-(18,9,235) \cite{TranvanTrung86}

1584 5-(19,9,336) (complement has $\lambda=665$)
TvT: 5-(18,8,96) $\cup$ 5-(18,9,240) \cite{TranvanTrung86}

1588 5-(19,9,343) (complement has $\lambda=658$)
TvT: 5-(18,8,98) $\cup$ 5-(18,9,245) \cite{TranvanTrung86}

1592 5-(19,9,364) (complement has $\lambda=637$)
TvT: 5-(18,8,104) $\cup$ 5-(18,9,260) \cite{TranvanTrung86}

1599 5-(19,9,378) (complement has $\lambda=623$)
TvT: 5-(18,8,108) $\cup$ 5-(18,9,270) \cite{TranvanTrung86}

1603 5-(19,9,385) (complement has $\lambda=616$)
TvT: 5-(18,8,110) $\cup$ 5-(18,9,275) \cite{TranvanTrung86}

1607 5-(19,9,392) (complement has $\lambda=609$)
TvT: 5-(18,8,112) $\cup$ 5-(18,9,280) \cite{TranvanTrung86}

1611 5-(19,9,399) (complement has $\lambda=602$)
TvT: 5-(18,8,114) $\cup$ 5-(18,9,285) \cite{TranvanTrung86}

5540 5-(19,9,406) (complement has $\lambda=595$)
derived from number 5539
design of number 7811 with respect to smaller t

1615 5-(19,9,413) (complement has $\lambda=588$)
TvT: 5-(18,8,118) $\cup$ 5-(18,9,295)

1622 5-(19,9,427) (complement has $\lambda=574$)
TvT: 5-(18,8,122) $\cup$ 5-(18,9,305)

5545 5-(19,9,434) (complement has $\lambda=567$)
derived from number 5544
design of number 7818 with respect to smaller t

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

1633 5-(19,9,448) (complement has $\lambda=553$)
TvT: 5-(18,8,128) $\cup$ 5-(18,9,320) \cite{TranvanTrung86}

1637 5-(19,9,455) (complement has $\lambda=546$)
TvT: 5-(18,8,130) $\cup$ 5-(18,9,325) \cite{TranvanTrung86}

1641 5-(19,9,462) (complement has $\lambda=539$)
TvT: 5-(18,8,132) $\cup$ 5-(18,9,330)

5549 5-(19,9,469) (complement has $\lambda=532$)
derived from number 5548
design of number 7823 with respect to smaller t

1648 5-(19,9,476) (complement has $\lambda=525$)
TvT: 5-(18,8,136) $\cup$ 5-(18,9,340)

1662 5-(19,9,490) (complement has $\lambda=511$)
TvT: 5-(18,8,140) $\cup$ 5-(18,9,350) \cite{TranvanTrung86}

1666 5-(19,9,497) (complement has $\lambda=504$)
TvT: 5-(18,8,142) $\cup$ 5-(18,9,355) \cite{TranvanTrung86}

1511 5-(19,10,42) (complement has $\lambda=1960$)
supplementary design of number 1510

1656 5-(19,10,98) (complement has $\lambda=1904$)
supplementary design of number 1655

1671 5-(19,10,112) (complement has $\lambda=1890$)
supplementary design of number 1670

1440 5-(19,10,210) (complement has $\lambda=1792$)
supplementary design of number 1439

1447 5-(19,10,224) (complement has $\lambda=1778$)
supplementary design of number 1446

1454 5-(19,10,266) (complement has $\lambda=1736$)
supplementary design of number 1453

1461 5-(19,10,280) (complement has $\lambda=1722$)
supplementary design of number 1460

1468 5-(19,10,294) (complement has $\lambda=1708$)
supplementary design of number 1467

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

1479 5-(19,10,322) (complement has $\lambda=1680$)
supplementary design of number 1478

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

1490 5-(19,10,364) (complement has $\lambda=1638$)
supplementary design of number 1489

1497 5-(19,10,378) (complement has $\lambda=1624$)
supplementary design of number 1496

1504 5-(19,10,392) (complement has $\lambda=1610$)
supplementary design of number 1503

1518 5-(19,10,420) (complement has $\lambda=1582$)
supplementary design of number 1517

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

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

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

1537 5-(19,10,490) (complement has $\lambda=1512$)
supplementary design of number 1536

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

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

1552 5-(19,10,560) (complement has $\lambda=1442$)
supplementary design of number 1551

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

1563 5-(19,10,588) (complement has $\lambda=1414$)
supplementary design of number 1562

5537 5-(19,10,616) (complement has $\lambda=1386$)
supplementary design of number 5535

1570 5-(19,10,630) (complement has $\lambda=1372$)
supplementary design of number 1569

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

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

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

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

1593 5-(19,10,728) (complement has $\lambda=1274$)
supplementary design of number 1592

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

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

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

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

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

1616 5-(19,10,826) (complement has $\lambda=1176$)
supplementary design of number 1615

1623 5-(19,10,854) (complement has $\lambda=1148$)
supplementary design of number 1622

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

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

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

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

1642 5-(19,10,924) (complement has $\lambda=1078$)
supplementary design of number 1641

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

1649 5-(19,10,952) (complement has $\lambda=1050$)
supplementary design of number 1648

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

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

5524 6-(19,7,4) (complement has $\lambda=9$)
$Hol(C_{17})++$ (1 isom. type) \cite{Bettenetal97b}

5525 6-(19,7,6) (complement has $\lambda=7$)
$Hol(C_{19})$ (3 isom. types) \cite{Bettenetal97b}

7811 6-(19,9,116) (complement has $\lambda=170$)
derived from number 7810

7818 6-(19,9,124) (complement has $\lambda=162$)
derived from number 7817

5527 6-(19,9,126) (complement has $\lambda=160$)
$(PSL(2,8)\times C_2)+$ (24 solutions)
derived from number 5530

7823 6-(19,9,134) (complement has $\lambda=152$)
derived from number 7822

7812 6-(19,10,290) (complement has $\lambda=425$)
residual design of number 7810
supplementary design of number 7811

7819 6-(19,10,310) (complement has $\lambda=405$)
residual design of number 7817
supplementary design of number 7818

5528 6-(19,10,315) (complement has $\lambda=400$)
supplementary design of number 5527
residual design of number 5530

7824 6-(19,10,335) (complement has $\lambda=380$)
residual design of number 7822
supplementary design of number 7823


on 20 points:


1783 5-(20,8,35) (complement has $\lambda=420$)
\cite{Krameretal85} $PSL(2,19)$ 5 isomorphism types

1787 5-(20,8,70) (complement has $\lambda=385$)
\cite{Krameretal85} $PGL(2,19)$ 3 isomorphism types

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

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)

1779 5-(20,8,175) (complement has $\lambda=280$)
\cite{Krameretal85} $PGL(2,19)$ 343 isomorphism types

1781 5-(20,8,210) (complement has $\lambda=245$)
\cite{Krameretal85} $PGL(2,19)$ 644 isomorphism types

1790 5-(20,9,105) (complement has $\lambda=1260$)
\cite{Krameretal85} $PGL(2,19)$ 1 isomorphism type

1792 5-(20,9,210) (complement has $\lambda=1155$)
TvT: 5-(19,8,56) $\cup$ 5-(19,9,154) \cite{TranvanTrung86}

1794 5-(20,9,315) (complement has $\lambda=1050$)
\cite{Krameretal85} $PGL(2,19)$ 555 isomorphism types
derived from number 5576

1796 5-(20,9,420) (complement has $\lambda=945$)
\cite{Krameretal85} $PGL(2,19)$
design of number 5533 with respect to smaller t

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}

1800 5-(20,9,630) (complement has $\lambda=735$)
\cite{Krameretal85} $PGL(2,19)$
derived from number 5581

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}

1693 5-(20,10,126) (complement has $\lambda=2877$)
\cite{Krameretal85} $PSL(2,19)$ 2 isomorphism types
Alltop construction for design number 1695

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

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

1713 5-(20,10,189) (complement has $\lambda=2814$)
\cite{Krameretal85}
Alltop construction for design number 1715

1717 5-(20,10,210) (complement has $\lambda=2793$)
\cite{Krameretal85} $PSL(2,19)$ 101 isomorphism types
Alltop construction for design number 1719

1721 5-(20,10,231) (complement has $\lambda=2772$)
\cite{Krameretal85} $PSL(2,19)$ 56 isomorphism types
Alltop construction for design number 1723

1725 5-(20,10,252) (complement has $\lambda=2751$)
\cite{Krameretal85} $PGL(2,19)$ 6 isomorphism types
Alltop construction for design number 1727

1729 5-(20,10,273) (complement has $\lambda=2730$)
\cite{Krameretal85} $PSL(2,19)$ 818 isomorphism types
Alltop construction for design number 1731

1733 5-(20,10,294) (complement has $\lambda=2709$)
\cite{Krameretal85}
Alltop construction for design number 1735

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

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
$PSL(3,4)$

1737 5-(20,10,357) (complement has $\lambda=2646$)
\cite{Krameretal85} $PGL(2,19)$ 25 isomorphism types
Alltop construction for design number 1739

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

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}

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

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

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}

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

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}

1745 5-(20,10,525) (complement has $\lambda=2478$)
\cite{Krameretal85} $PSL(2,19)$
Alltop construction for design number 1747

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

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

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} $PSL(2,19)$

1749 5-(20,10,609) (complement has $\lambda=2394$)
\cite{Krameretal85}
Alltop construction for design number 1751

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

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}

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}

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

1753 5-(20,10,714) (complement has $\lambda=2289$)
\cite{Krameretal85} $PGL(2,19)$
Alltop construction for design number 1755

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} $PGL(2,19)$

1757 5-(20,10,756) (complement has $\lambda=2247$)
\cite{Krameretal85}
Alltop construction for design number 1759
\cite{Krameretal85} $PGL(2,19)$

1761 5-(20,10,777) (complement has $\lambda=2226$)
\cite{Krameretal85}
Alltop construction for design number 1763
\cite{Krameretal85} $PSL(2,19)$

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}

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}

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} $PSL(2,19)$

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}

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} $PGL(2,19)$

1765 5-(20,10,903) (complement has $\lambda=2100$)
\cite{Krameretal85} $PSL(2,19)$
Alltop construction for design number 1767

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

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} $PGL(2,19)$

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}

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}

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}

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}

1677 5-(20,10,1050) (complement has $\lambda=1953$)
\cite{Krameretal85} $PGL(2,19)$
Alltop construction for design number 1679

1681 5-(20,10,1071) (complement has $\lambda=1932$)
\cite{Krameretal85} $PGL(2,19)$
Alltop construction for design number 1683

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} $PSL(2,19)$

1685 5-(20,10,1113) (complement has $\lambda=1890$)
\cite{Krameretal85} $PGL(2,19)$
Alltop construction for design number 1687

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}

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}

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}

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}

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

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}

1697 5-(20,10,1260) (complement has $\lambda=1743$)
\cite{Krameretal85} $PGL(2,19)$
Alltop construction for design number 1699

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} $PSL(2,19)$

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

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

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}

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}

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

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

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} $PGL(2,19)$

1709 5-(20,10,1449) (complement has $\lambda=1554$)
\cite{Krameretal85}
Alltop construction for design number 1711

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}

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}

5578 5-(20,11,1155) (complement has $\lambda=3850$)
residual design of number 5577

5583 5-(20,11,2310) (complement has $\lambda=2695$)
residual design of number 5582

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

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

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

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

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

7810 7-(20,10,116) (complement has $\lambda=170$)
PSL(2,19) (3 isom. types) \cite{Bettenetal97b}
Alltop construction for design number 7811

7817 7-(20,10,124) (complement has $\lambda=162$)
PSL(2,19) (1 isom. type) \cite{Bettenetal97b}
Alltop construction for design number 7818

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)

7822 7-(20,10,134) (complement has $\lambda=152$)
PSL(2,19) (10 isom. types) \cite{Bettenetal97b}
Alltop construction for design number 7823


on 21 points:


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

5554 5-(21,6,8) (selfcomplementary)
derived from number 5553
derived from complement of number 5553

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

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

1884 5-(21,9,140) (complement has $\lambda=1680$)
TvT: 5-(20,8,35) $\cup$ 5-(20,9,105) \cite{TranvanTrung86}

1886 5-(21,9,280) (complement has $\lambda=1540$)
TvT: 5-(20,8,70) $\cup$ 5-(20,9,210) \cite{TranvanTrung86}

5565 5-(21,9,350) (complement has $\lambda=1470$)
derived from number 5563

1888 5-(21,9,420) (complement has $\lambda=1400$)
TvT: 5-(20,8,105) $\cup$ 5-(20,9,315) \cite{TranvanTrung86}

1890 5-(21,9,560) (complement has $\lambda=1260$)
TvT: 5-(20,8,140) $\cup$ 5-(20,9,420)

1892 5-(21,9,630) (complement has $\lambda=1190$)
$PSL(3,2)\times S_3$

1895 5-(21,9,700) (complement has $\lambda=1120$)
TvT: 5-(20,8,175) $\cup$ 5-(20,9,525) \cite{TranvanTrung86}

1897 5-(21,9,840) (complement has $\lambda=980$)
TvT: 5-(20,8,210) $\cup$ 5-(20,9,630)
derived from number 5569

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

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}

1833 5-(21,10,672) (complement has $\lambda=3696$)
TvT: 5-(20,9,210) $\cup$ 5-(20,10,462) \cite{TranvanTrung86}

1840 5-(21,10,840) (complement has $\lambda=3528$)
$PGL(2,19)+$
residual design of number 5563
derived from number 5570

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

1802 5-(21,10,1344) (complement has $\lambda=3024$)
TvT: 5-(20,9,420) $\cup$ 5-(20,10,924)

1852 5-(21,10,1512) (complement has $\lambda=2856$)
$PGL(2,19)+$
derived from number 5572

1809 5-(21,10,1680) (complement has $\lambda=2688$)
TvT: 5-(20,9,525) $\cup$ 5-(20,10,1155) \cite{TranvanTrung86}

1861 5-(21,10,1848) (complement has $\lambda=2520$)
$PGL(2,19)+$
derived from number 5573

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

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

1827 5-(21,11,616) (complement has $\lambda=7392$)
supplementary design of number 1826

1834 5-(21,11,1232) (complement has $\lambda=6776$)
supplementary design of number 1833

1841 5-(21,11,1540) (complement has $\lambda=6468$)
supplementary design of number 1840
residual design of number 5570

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

1803 5-(21,11,2464) (complement has $\lambda=5544$)
supplementary design of number 1802

1853 5-(21,11,2772) (complement has $\lambda=5236$)
supplementary design of number 1852
residual design of number 5572

1810 5-(21,11,3080) (complement has $\lambda=4928$)
supplementary design of number 1809

1862 5-(21,11,3388) (complement has $\lambda=4620$)
supplementary design of number 1861
residual design of number 5573

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

1817 5-(21,11,4004) (selfcomplementary)
supplementary design of number 1816
residual design of number 1822
residual design of complement of number 1822

5576 6-(21,10,315) (complement has $\lambda=1050$)
derived from number 5575

5581 6-(21,10,630) (complement has $\lambda=735$)
derived from number 5580

5577 6-(21,11,693) (complement has $\lambda=2310$)
residual design of number 5575
supplementary design of number 5576

5582 6-(21,11,1386) (complement has $\lambda=1617$)
residual design of number 5580
supplementary design of number 5581


on 22 points:


7850 5-(22,6,4) (complement has $\lambda=13$)
derived from number 7848

7857 5-(22,6,5) (complement has $\lambda=12$)
derived from number 7855

7862 5-(22,6,6) (complement has $\lambda=11$)
derived from number 7860
$Hol(C_{19})+++$

7869 5-(22,6,7) (complement has $\lambda=10$)
derived from number 7867

7876 5-(22,6,8) (complement has $\lambda=9$)
derived from number 7874

1899 5-(22,7,16) (complement has $\lambda=120$)
\cite{Kreher95} $PSL(2,19)++$ 9 solutions
\cite{Kreher95} $PGL(2,19)++$

7851 5-(22,7,32) (complement has $\lambda=104$)
residual design of number 7848
derived from number 7849

1903 5-(22,7,36) (complement has $\lambda=100$)
$PSL(2,19)++$
$PGL(2,19)++$ 69 solutions

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

7863 5-(22,7,48) (complement has $\lambda=88$)
residual design of number 7860
derived from number 7861

7870 5-(22,7,56) (complement has $\lambda=80$)
residual design of number 7867
derived from number 7868

1911 5-(22,7,60) (complement has $\lambda=76$)
\cite{Kreher95} $PSL(2,19)++$
\cite{Kreher95} $PGL(2,19)++$

7877 5-(22,7,64) (complement has $\lambda=72$)
residual design of number 7874
derived from number 7875

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

1919 5-(22,8,40) (complement has $\lambda=640$)
$PSL(2,19)++$ 10 solutions

1923 5-(22,8,60) (complement has $\lambda=620$)
\cite{Kreher95} $PSL(2,19)++$
\cite{Kreher95}

1927 5-(22,8,80) (complement has $\lambda=600$)
\cite{Kreher95} $PSL(2,19)++$
\cite{Kreher95}

1930 5-(22,8,100) (complement has $\lambda=580$)
\cite{Kreher95} $PSL(2,19)++$
\cite{Kreher95}

1934 5-(22,8,120) (complement has $\lambda=560$)
$PSL(2,19)++$
$S_7^{[2]}+$ (3 isom. types)

1938 5-(22,8,140) (complement has $\lambda=540$)
$PSL(2,19)++$

1942 5-(22,8,160) (complement has $\lambda=520$)
$PSL(2,19)++$
residual design of number 7849

1946 5-(22,8,180) (complement has $\lambda=500$)
$PSL(2,19)++$

1949 5-(22,8,200) (complement has $\lambda=480$)
$PSL(2,19)++$
residual design of number 7856
derived from number 7882

1952 5-(22,8,220) (complement has $\lambda=460$)
$PSL(2,19)++$

1956 5-(22,8,240) (complement has $\lambda=440$)
$PSL(2,19)++$
derived from number 7831
residual design of number 7861

1960 5-(22,8,280) (complement has $\lambda=400$)
$PSL(2,19)++$
residual design of number 7868

7844 5-(22,8,320) (complement has $\lambda=360$)
derived from number 7839
residual design of number 7875

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

1967 5-(22,9,210) (complement has $\lambda=2170$)
\cite{Kreher95} $PSL(2,19)++$
\cite{Kreher95}

1970 5-(22,9,280) (complement has $\lambda=2100$)
$PSL(2,19)++$

1973 5-(22,9,420) (complement has $\lambda=1960$)
$PSL(2,19)++$

1976 5-(22,9,490) (complement has $\lambda=1890$)
$PSL(2,19)++$

1979 5-(22,9,630) (complement has $\lambda=1750$)
$PSL(2,19)++$

1982 5-(22,9,700) (complement has $\lambda=1680$)
$PSL(2,19)++$
residual design of number 7882

1984 5-(22,9,840) (complement has $\lambda=1540$)
$PSL(2,19)++$
residual design of number 7831
derived from number 7832

1987 5-(22,9,910) (complement has $\lambda=1470$)
$PSL(2,19)++$

1991 5-(22,9,1050) (complement has $\lambda=1330$)
$PSL(2,19)++$

1995 5-(22,9,1120) (complement has $\lambda=1260$)
$PSL(2,19)++$
residual design of number 7839
derived from number 7840

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

1999 5-(22,10,308) (complement has $\lambda=5880$)
$PGL(2,19)++$ 5 solutions

2006 5-(22,10,378) (complement has $\lambda=5810$)
$PGL(2,19)++$ 126 solutions

2013 5-(22,10,392) (complement has $\lambda=5796$)
$PGL(2,19)++$ 425 solutions

2020 5-(22,10,420) (complement has $\lambda=5768$)
$PGL(2,19)++$ 183 solutions

2027 5-(22,10,462) (complement has $\lambda=5726$)
$PGL(2,19)++$ 48 solutions

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)

2036 5-(22,10,518) (complement has $\lambda=5670$)
$PGL(2,19)++$ 1535 solutions

2043 5-(22,10,546) (complement has $\lambda=5642$)
$PGL(2,19)++$

2049 5-(22,10,560) (complement has $\lambda=5628$)
$PGL(2,19)++$

2056 5-(22,10,588) (complement has $\lambda=5600$)
$PGL(2,19)++$

2063 5-(22,10,602) (complement has $\lambda=5586$)
$PGL(2,19)++$

2070 5-(22,10,630) (complement has $\lambda=5558$)
$PGL(2,19)++$

2077 5-(22,10,672) (complement has $\lambda=5516$)
\cite{Kreher95} $PGL(2,19)++$

2084 5-(22,10,686) (complement has $\lambda=5502$)
$PGL(2,19)++$

2091 5-(22,10,728) (complement has $\lambda=5460$)
$PGL(2,19)++$

2093 5-(22,10,756) (complement has $\lambda=5432$)
$PGL(2,19)++$

2100 5-(22,10,770) (complement has $\lambda=5418$)
$PGL(2,19)++$

2107 5-(22,10,798) (complement has $\lambda=5390$)
$PGL(2,19)++$

2114 5-(22,10,812) (complement has $\lambda=5376$)
$PGL(2,19)++$

2121 5-(22,10,840) (complement has $\lambda=5348$)
$PGL(2,19)++$

2124 5-(22,10,882) (complement has $\lambda=5306$)
$PGL(2,19)++$

2131 5-(22,10,896) (complement has $\lambda=5292$)
$PGL(2,19)++$

2138 5-(22,10,938) (complement has $\lambda=5250$)
$PGL(2,19)++$

2145 5-(22,10,952) (complement has $\lambda=5236$)
\cite{Kreher95}
TvT: 5-(21,9,280) $\cup$ 5-(21,10,672)

2147 5-(22,10,966) (complement has $\lambda=5222$)
$PGL(2,19)++$

2154 5-(22,10,980) (complement has $\lambda=5208$)
$PGL(2,19)++$

2161 5-(22,10,1008) (complement has $\lambda=5180$)
$PGL(2,19)++$

2168 5-(22,10,1022) (complement has $\lambda=5166$)
$PGL(2,19)++$

2175 5-(22,10,1050) (complement has $\lambda=5138$)
$PGL(2,19)++$

5564 5-(22,10,1190) (complement has $\lambda=4998$)
design of number 5563 with respect to smaller t
derived from number 11494

2182 5-(22,10,1260) (complement has $\lambda=4928$)
$PGL(2,19)++$

2189 5-(22,10,1302) (complement has $\lambda=4886$)
$PGL(2,19)++$

2196 5-(22,10,1386) (complement has $\lambda=4802$)
$PGL(2,19)++$

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}

2205 5-(22,10,1512) (complement has $\lambda=4676$)
$PGL(2,19)++$

5590 5-(22,10,1722) (complement has $\lambda=4466$)
derived from number 5587

2212 5-(22,10,1890) (complement has $\lambda=4298$)
$PGL(2,19)++$

2219 5-(22,10,1904) (complement has $\lambda=4284$)
\cite{Kreher95}
TvT: 5-(21,9,560) $\cup$ 5-(21,10,1344)

5610 5-(22,10,2142) (complement has $\lambda=4046$)
derived from number 5607

7836 5-(22,10,2184) (complement has $\lambda=4004$)
residual design of number 7832

5621 5-(22,10,2226) (complement has $\lambda=3962$)
derived from number 5618

2221 5-(22,10,2380) (complement has $\lambda=3808$)
\cite{Kreher95}
TvT: 5-(21,9,700) $\cup$ 5-(21,10,1680)

2223 5-(22,10,2520) (complement has $\lambda=3668$)
$PGL(2,19)++$

2230 5-(22,10,2562) (complement has $\lambda=3626$)
$PGL(2,19)++$

2237 5-(22,10,2730) (complement has $\lambda=3458$)
$PGL(2,19)++$

2243 5-(22,10,2772) (complement has $\lambda=3416$)
$PGL(2,19)++$

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

2248 5-(22,10,2898) (complement has $\lambda=3290$)
$PGL(2,19)++$

2255 5-(22,10,2912) (complement has $\lambda=3276$)
$PGL(2,19)++$
residual design of number 7840

5641 5-(22,10,2982) (complement has $\lambda=3206$)
derived from number 5638

5586 5-(22,10,3094) (selfcomplementary)
residual design of number 5585
residual design of complement of number 5585

2261 5-(22,11,252) (complement has $\lambda=12124$)
$PGL(2,19)++$ 2 solutions
Alltop construction for design number 2263

2265 5-(22,11,280) (complement has $\lambda=12096$)
\cite{Kreher95} $PGL(2,19)++$ 4 solutions
Alltop construction for design number 2267

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)

2269 5-(22,11,364) (complement has $\lambda=12012$)
$PGL(2,19)++$ 2 solutions
Alltop construction for design number 2271

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)

2273 5-(22,11,504) (complement has $\lambda=11872$)
$PGL(2,19)++$
Alltop construction for design number 2275

2005 5-(22,11,616) (complement has $\lambda=11760$)
Alltop construction for design number 2002

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)

2012 5-(22,11,756) (complement has $\lambda=11620$)
Alltop construction for design number 2009

2019 5-(22,11,784) (complement has $\lambda=11592$)
Alltop construction for design number 2016

2026 5-(22,11,840) (complement has $\lambda=11536$)
Alltop construction for design number 2023
$PGL(2,19)++$

2033 5-(22,11,924) (complement has $\lambda=11452$)
Alltop construction for design number 2030

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}

2277 5-(22,11,1008) (complement has $\lambda=11368$)
\cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types
Alltop construction for design number 2279

2042 5-(22,11,1036) (complement has $\lambda=11340$)
Alltop construction for design number 2039

2048 5-(22,11,1092) (complement has $\lambda=11284$)
Alltop construction for design number 2045

2055 5-(22,11,1120) (complement has $\lambda=11256$)
Alltop construction for design number 2052
\cite{Kreher95} $PSL(3,4)+$ 9 isomorphism types $PGL(2,19)++$

2062 5-(22,11,1176) (complement has $\lambda=11200$)
Alltop construction for design number 2059

2069 5-(22,11,1204) (complement has $\lambda=11172$)
Alltop construction for design number 2066

2076 5-(22,11,1260) (complement has $\lambda=11116$)
Alltop construction for design number 2073

2281 5-(22,11,1288) (complement has $\lambda=11088$)
\cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types
Alltop construction for design number 2283

2083 5-(22,11,1344) (complement has $\lambda=11032$)
Alltop construction for design number 2080
$PSL(3,4)+$ 9 isomorphism types

2090 5-(22,11,1372) (complement has $\lambda=11004$)
Alltop construction for design number 2087

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} $PSL(3,4)+$ $PGL(2,19)++$

2099 5-(22,11,1512) (complement has $\lambda=10864$)
Alltop construction for design number 2096
\cite{Kreher95} $PSL(3,4)+$

2106 5-(22,11,1540) (complement has $\lambda=10836$)
Alltop construction for design number 2103

2113 5-(22,11,1596) (complement has $\lambda=10780$)
Alltop construction for design number 2110

2120 5-(22,11,1624) (complement has $\lambda=10752$)
Alltop construction for design number 2117

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} $PSL(3,4)+$ $PGL(2,19)++$

2130 5-(22,11,1764) (complement has $\lambda=10612$)
Alltop construction for design number 2127
$PGL(2,19)++$

2137 5-(22,11,1792) (complement has $\lambda=10584$)
Alltop construction for design number 2134
\cite{Kreher95}

2285 5-(22,11,1848) (complement has $\lambda=10528$)
\cite{Kreher95}
Alltop construction for design number 2287

2144 5-(22,11,1876) (complement has $\lambda=10500$)
Alltop construction for design number 2141

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}

2153 5-(22,11,1932) (complement has $\lambda=10444$)
Alltop construction for design number 2150

2160 5-(22,11,1960) (complement has $\lambda=10416$)
Alltop construction for design number 2157
\cite{Kreher95}

2167 5-(22,11,2016) (complement has $\lambda=10360$)
Alltop construction for design number 2164
\cite{Kreher95}

2174 5-(22,11,2044) (complement has $\lambda=10332$)
Alltop construction for design number 2171

2181 5-(22,11,2100) (complement has $\lambda=10276$)
Alltop construction for design number 2178
$PGL(2,19)++$

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)

2289 5-(22,11,2184) (complement has $\lambda=10192$)
\cite{Kreher95}
Alltop construction for design number 2291

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)

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)

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

2188 5-(22,11,2520) (complement has $\lambda=9856$)
Alltop construction for design number 2185
\cite{Kreher95} $PGL(2,19)++$

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

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)

2202 5-(22,11,2772) (complement has $\lambda=9604$)
Alltop construction for design number 2199

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

2211 5-(22,11,3024) (complement has $\lambda=9352$)
Alltop construction for design number 2208
$PGL(2,19)++$

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)

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)

5591 5-(22,11,3444) (complement has $\lambda=8932$)
residual design of number 5587
derived from number 5588
Alltop construction for design number 5601

2297 5-(22,11,3472) (complement has $\lambda=8904$)
$PSL(3,4)+$
Alltop construction for design number 2299

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)

2301 5-(22,11,3696) (complement has $\lambda=8680$)
$PSL(3,4)+$
Alltop construction for design number 2303
\cite{Kreher95}

2218 5-(22,11,3780) (complement has $\lambda=8596$)
Alltop construction for design number 2215
$PGL(2,19)++$

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)

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)

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)

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

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)

5622 5-(22,11,4452) (complement has $\lambda=7924$)
residual design of number 5618
derived from number 5619
Alltop construction for design number 5632

2305 5-(22,11,4620) (complement has $\lambda=7756$)
$PGL(2,19)++$
Alltop construction for design number 2307

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)

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}

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)

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)

2229 5-(22,11,5040) (complement has $\lambda=7336$)
Alltop construction for design number 2226
$PGL(2,19)++$

2236 5-(22,11,5124) (complement has $\lambda=7252$)
Alltop construction for design number 2233
$PGL(2,19)++$

2309 5-(22,11,5152) (complement has $\lambda=7224$)
$PSL(3,4)+$
Alltop construction for design number 2311

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

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)

2242 5-(22,11,5460) (complement has $\lambda=6916$)
Alltop construction for design number 2239

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)

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)

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

2254 5-(22,11,5796) (complement has $\lambda=6580$)
Alltop construction for design number 2251

2260 5-(22,11,5824) (complement has $\lambda=6552$)
Alltop construction for design number 2257
$PSL(3,4)+$

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)

5642 5-(22,11,5964) (complement has $\lambda=6412$)
residual design of number 5638
derived from number 5639
Alltop construction for design number 5652

2313 5-(22,11,5992) (complement has $\lambda=6384$)
$PSL(3,4)+$
Alltop construction for design number 2315

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)

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

11498 5-(22,12,3740) (complement has $\lambda=15708$)
residual design of number 11495

5595 5-(22,12,5412) (complement has $\lambda=14036$)
residual design of number 5588

5614 5-(22,12,6732) (complement has $\lambda=12716$)
residual design of number 5608

5626 5-(22,12,6996) (complement has $\lambda=12452$)
residual design of number 5619

11504 5-(22,12,8976) (complement has $\lambda=10472$)
residual design of number 11501

5646 5-(22,12,9372) (complement has $\lambda=10076$)
residual design of number 5639

5553 6-(22,7,8) (selfcomplementary)
(6-(8m+6,7,4m) for m=2 \cite{Teirlinck89}), Halving of the complete design

5559 6-(22,8,60) (selfcomplementary)
PSL(2,19)++ (1148 isom types) \cite{Kreher93}, Halving of the complete design

5561 6-(22,9,280) (selfcomplementary)
$(PSL(3,2)\times S_3)+$ Halving of the complete design

5563 6-(22,10,350) (complement has $\lambda=1470$)
$PSL(2,19)++$

5569 6-(22,10,840) (complement has $\lambda=980$)
$PSL(2,19)++$

5570 6-(22,11,840) (complement has $\lambda=3528$)
$PGL(2,19)++$

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

5572 6-(22,11,1512) (complement has $\lambda=2856$)
$PGL(2,19)++$

5573 6-(22,11,1848) (complement has $\lambda=2520$)
$PGL(2,19)++$

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

1822 6-(22,11,2184) (selfcomplementary)
Alltop construction for design number 1816
Alltop

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

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)


on 23 points:


11052 5-(23,6,6) (complement has $\lambda=12$)
$Hol(C_{23})$ >=2 solutions

5749 5-(23,7,36) (complement has $\lambda=117$)
derived from number 5747
design of number 7848 with respect to smaller t

5758 5-(23,7,45) (complement has $\lambda=108$)
derived from number 5756
design of number 7855 with respect to smaller t

5765 5-(23,7,54) (complement has $\lambda=99$)
derived from number 5763
design of number 7860 with respect to smaller t

5773 5-(23,7,63) (complement has $\lambda=90$)
derived from number 5771
design of number 7867 with respect to smaller t

5780 5-(23,7,72) (complement has $\lambda=81$)
derived from number 5778
design of number 7874 with respect to smaller t

2393 5-(23,8,96) (complement has $\lambda=720$)
TvT: 5-(22,7,16) $\cup$ 5-(22,8,80)

5750 5-(23,8,192) (complement has $\lambda=624$)
residual design of number 5747
design of number 7849 with respect to smaller t

10957 5-(23,8,216) (complement has $\lambda=600$)
TvT: 5-(22,7,36) $\cup$ 5-(22,8,180)

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

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

5774 5-(23,8,336) (complement has $\lambda=480$)
residual design of number 5771
design of number 7868 with respect to smaller t

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

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

2395 5-(23,9,270) (complement has $\lambda=2790$)
TvT: 5-(22,8,60) $\cup$ 5-(22,9,210)

10958 5-(23,9,360) (complement has $\lambda=2700$)
TvT: 5-(22,8,80) $\cup$ 5-(22,9,280)

10825 5-(23,9,540) (complement has $\lambda=2520$)
TvT: 5-(22,8,120) $\cup$ 5-(22,9,420)

10959 5-(23,9,630) (complement has $\lambda=2430$)
TvT: 5-(22,8,140) $\cup$ 5-(22,9,490)

10826 5-(23,9,810) (complement has $\lambda=2250$)
TvT: 5-(22,8,180) $\cup$ 5-(22,9,630)

7883 5-(23,9,900) (complement has $\lambda=2160$)
residual design of number 7881
design of number 7882 with respect to smaller t

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

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

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

10827 5-(23,10,756) (complement has $\lambda=7812$)
TvT: 5-(22,9,210) $\cup$ 5-(22,10,546)

11019 5-(23,10,1008) (complement has $\lambda=7560$)
TvT: 5-(22,9,280) $\cup$ 5-(22,10,728)

5665 5-(23,10,2772) (complement has $\lambda=5796$)
derived from number 5663

7835 5-(23,10,3024) (complement has $\lambda=5544$)
residual design of number 7830
design of number 7832 with respect to smaller t

10828 5-(23,10,3780) (complement has $\lambda=4788$)
TvT: 5-(22,9,1050) $\cup$ 5-(22,10,2730)

7843 5-(23,10,4032) (complement has $\lambda=4536$)
residual design of number 7838
design of number 7840 with respect to smaller t

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

10829 5-(23,11,924) (complement has $\lambda=17640$)
TvT: 5-(22,10,308) $\cup$ 5-(22,11,616)

10832 5-(23,11,1134) (complement has $\lambda=17430$)
TvT: 5-(22,10,378) $\cup$ 5-(22,11,756)

10960 5-(23,11,1176) (complement has $\lambda=17388$)
TvT: 5-(22,10,392) $\cup$ 5-(22,11,784)

10835 5-(23,11,1260) (complement has $\lambda=17304$)
TvT: 5-(22,10,420) $\cup$ 5-(22,11,840)

11020 5-(23,11,1386) (complement has $\lambda=17178$)
TvT: 5-(22,10,462) $\cup$ 5-(22,11,924)

2321 5-(23,11,1428) (complement has $\lambda=17136$)
TvT: 5-(22,10,476) $\cup$ 5-(22,11,952)

10838 5-(23,11,1554) (complement has $\lambda=17010$)
TvT: 5-(22,10,518) $\cup$ 5-(22,11,1036)

10963 5-(23,11,1638) (complement has $\lambda=16926$)
TvT: 5-(22,10,546) $\cup$ 5-(22,11,1092)

10841 5-(23,11,1680) (complement has $\lambda=16884$)
TvT: 5-(22,10,560) $\cup$ 5-(22,11,1120)

11023 5-(23,11,1764) (complement has $\lambda=16800$)
TvT: 5-(22,10,588) $\cup$ 5-(22,11,1176)

10844 5-(23,11,1806) (complement has $\lambda=16758$)
TvT: 5-(22,10,602) $\cup$ 5-(22,11,1204)

10966 5-(23,11,1890) (complement has $\lambda=16674$)
TvT: 5-(22,10,630) $\cup$ 5-(22,11,1260)

2328 5-(23,11,2016) (complement has $\lambda=16548$)
TvT: 5-(22,10,672) $\cup$ 5-(22,11,1344)

10969 5-(23,11,2058) (complement has $\lambda=16506$)
TvT: 5-(22,10,686) $\cup$ 5-(22,11,1372)

10847 5-(23,11,2184) (complement has $\lambda=16380$)
TvT: 5-(22,10,728) $\cup$ 5-(22,11,1456)

11026 5-(23,11,2268) (complement has $\lambda=16296$)
TvT: 5-(22,10,756) $\cup$ 5-(22,11,1512)

10850 5-(23,11,2310) (complement has $\lambda=16254$)
TvT: 5-(22,10,770) $\cup$ 5-(22,11,1540)

10972 5-(23,11,2394) (complement has $\lambda=16170$)
TvT: 5-(22,10,798) $\cup$ 5-(22,11,1596)

10853 5-(23,11,2436) (complement has $\lambda=16128$)
TvT: 5-(22,10,812) $\cup$ 5-(22,11,1624)

11046 5-(23,11,2520) (complement has $\lambda=16044$)
TvT: 5-(22,10,840) $\cup$ 5-(22,11,1680)

10856 5-(23,11,2646) (complement has $\lambda=15918$)
TvT: 5-(22,10,882) $\cup$ 5-(22,11,1764)

10975 5-(23,11,2688) (complement has $\lambda=15876$)
TvT: 5-(22,10,896) $\cup$ 5-(22,11,1792)

10859 5-(23,11,2814) (complement has $\lambda=15750$)
TvT: 5-(22,10,938) $\cup$ 5-(22,11,1876)

2335 5-(23,11,2856) (complement has $\lambda=15708$)
TvT: 5-(22,10,952) $\cup$ 5-(22,11,1904)

10862 5-(23,11,2898) (complement has $\lambda=15666$)
TvT: 5-(22,10,966) $\cup$ 5-(22,11,1932)

11029 5-(23,11,2940) (complement has $\lambda=15624$)
TvT: 5-(22,10,980) $\cup$ 5-(22,11,1960)

10865 5-(23,11,3024) (complement has $\lambda=15540$)
TvT: 5-(22,10,1008) $\cup$ 5-(22,11,2016)

10978 5-(23,11,3066) (complement has $\lambda=15498$)
TvT: 5-(22,10,1022) $\cup$ 5-(22,11,2044)

10868 5-(23,11,3150) (complement has $\lambda=15414$)
TvT: 5-(22,10,1050) $\cup$ 5-(22,11,2100)

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

10871 5-(23,11,3780) (complement has $\lambda=14784$)
TvT: 5-(22,10,1260) $\cup$ 5-(22,11,2520)

10981 5-(23,11,3906) (complement has $\lambda=14658$)
TvT: 5-(22,10,1302) $\cup$ 5-(22,11,2604)

10874 5-(23,11,4158) (complement has $\lambda=14406$)
TvT: 5-(22,10,1386) $\cup$ 5-(22,11,2772)

2342 5-(23,11,4284) (complement has $\lambda=14280$)
TvT: 5-(22,10,1428) $\cup$ 5-(22,11,2856) \cite{TranvanTrung86}

10877 5-(23,11,4536) (complement has $\lambda=14028$)
TvT: 5-(22,10,1512) $\cup$ 5-(22,11,3024)

5589 5-(23,11,5166) (complement has $\lambda=13398$)
design of number 5587 with respect to smaller t
derived from number 5592

10880 5-(23,11,5670) (complement has $\lambda=12894$)
TvT: 5-(22,10,1890) $\cup$ 5-(22,11,3780)

2349 5-(23,11,5712) (complement has $\lambda=12852$)
TvT: 5-(22,10,1904) $\cup$ 5-(22,11,3808)

5666 5-(23,11,6006) (complement has $\lambda=12558$)
residual design of number 5663

5609 5-(23,11,6426) (complement has $\lambda=12138$)
design of number 5607 with respect to smaller t
derived from number 5611

5680 5-(23,11,6510) (complement has $\lambda=12054$)
derived from number 5678

2356 5-(23,11,6552) (complement has $\lambda=12012$)
TvT: 5-(22,10,2184) $\cup$ 5-(22,11,4368)

5620 5-(23,11,6678) (complement has $\lambda=11886$)
design of number 5618 with respect to smaller t
derived from number 5623

2364 5-(23,11,7140) (complement has $\lambda=11424$)
TvT: 5-(22,10,2380) $\cup$ 5-(22,11,4760)

5690 5-(23,11,7392) (complement has $\lambda=11172$)
derived from number 5688

10883 5-(23,11,7560) (complement has $\lambda=11004$)
TvT: 5-(22,10,2520) $\cup$ 5-(22,11,5040)

10984 5-(23,11,7686) (complement has $\lambda=10878$)
TvT: 5-(22,10,2562) $\cup$ 5-(22,11,5124)

5700 5-(23,11,7896) (complement has $\lambda=10668$)
derived from number 5698

10886 5-(23,11,8190) (complement has $\lambda=10374$)
TvT: 5-(22,10,2730) $\cup$ 5-(22,11,5460)

10987 5-(23,11,8316) (complement has $\lambda=10248$)
TvT: 5-(22,10,2772) $\cup$ 5-(22,11,5544)

2371 5-(23,11,8568) (complement has $\lambda=9996$)
TvT: 5-(22,10,2856) $\cup$ 5-(22,11,5712)
design of number 11500 with respect to smaller t
derived from number 11502

10990 5-(23,11,8694) (complement has $\lambda=9870$)
TvT: 5-(22,10,2898) $\cup$ 5-(22,11,5796)

2378 5-(23,11,8736) (complement has $\lambda=9828$)
TvT: 5-(22,10,2912) $\cup$ 5-(22,11,5824)

5710 5-(23,11,8778) (complement has $\lambda=9786$)
derived from number 5708

5720 5-(23,11,8820) (complement has $\lambda=9744$)
derived from number 5718

5729 5-(23,11,8862) (complement has $\lambda=9702$)
derived from number 5727

5640 5-(23,11,8946) (complement has $\lambda=9618$)
design of number 5638 with respect to smaller t
derived from number 5643

5739 5-(23,11,9240) (complement has $\lambda=9324$)
derived from number 5737

2385 5-(23,11,9282) (selfcomplementary)
derived 6-(24,12,9282) Halving of the complete design
derived from number 2389
derived from complement of number 2389

10830 5-(23,12,1584) (complement has $\lambda=30240$)
supplementary design of number 10829

10833 5-(23,12,1944) (complement has $\lambda=29880$)
supplementary design of number 10832

10961 5-(23,12,2016) (complement has $\lambda=29808$)
supplementary design of number 10960

10836 5-(23,12,2160) (complement has $\lambda=29664$)
supplementary design of number 10835

11021 5-(23,12,2376) (complement has $\lambda=29448$)
supplementary design of number 11020

2322 5-(23,12,2448) (complement has $\lambda=29376$)
supplementary design of number 2321

10839 5-(23,12,2664) (complement has $\lambda=29160$)
supplementary design of number 10838

10964 5-(23,12,2808) (complement has $\lambda=29016$)
supplementary design of number 10963

10842 5-(23,12,2880) (complement has $\lambda=28944$)
supplementary design of number 10841

11024 5-(23,12,3024) (complement has $\lambda=28800$)
supplementary design of number 11023

10845 5-(23,12,3096) (complement has $\lambda=28728$)
supplementary design of number 10844

10967 5-(23,12,3240) (complement has $\lambda=28584$)
supplementary design of number 10966

2329 5-(23,12,3456) (complement has $\lambda=28368$)
supplementary design of number 2328

10970 5-(23,12,3528) (complement has $\lambda=28296$)
supplementary design of number 10969

10848 5-(23,12,3744) (complement has $\lambda=28080$)
supplementary design of number 10847

11027 5-(23,12,3888) (complement has $\lambda=27936$)
supplementary design of number 11026

10851 5-(23,12,3960) (complement has $\lambda=27864$)
supplementary design of number 10850

10973 5-(23,12,4104) (complement has $\lambda=27720$)
supplementary design of number 10972

10854 5-(23,12,4176) (complement has $\lambda=27648$)
supplementary design of number 10853

11047 5-(23,12,4320) (complement has $\lambda=27504$)
supplementary design of number 11046

10857 5-(23,12,4536) (complement has $\lambda=27288$)
supplementary design of number 10856

10976 5-(23,12,4608) (complement has $\lambda=27216$)
supplementary design of number 10975

10860 5-(23,12,4824) (complement has $\lambda=27000$)
supplementary design of number 10859

2336 5-(23,12,4896) (complement has $\lambda=26928$)
supplementary design of number 2335

10863 5-(23,12,4968) (complement has $\lambda=26856$)
supplementary design of number 10862

11030 5-(23,12,5040) (complement has $\lambda=26784$)
supplementary design of number 11029

10866 5-(23,12,5184) (complement has $\lambda=26640$)
supplementary design of number 10865

10979 5-(23,12,5256) (complement has $\lambda=26568$)
supplementary design of number 10978

10869 5-(23,12,5400) (complement has $\lambda=26424$)
supplementary design of number 10868

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

10872 5-(23,12,6480) (complement has $\lambda=25344$)
supplementary design of number 10871

10982 5-(23,12,6696) (complement has $\lambda=25128$)
supplementary design of number 10981

10875 5-(23,12,7128) (complement has $\lambda=24696$)
supplementary design of number 10874

2343 5-(23,12,7344) (complement has $\lambda=24480$)
supplementary design of number 2342

10878 5-(23,12,7776) (complement has $\lambda=24048$)
supplementary design of number 10877

5594 5-(23,12,8856) (complement has $\lambda=22968$)
design of number 5588 with respect to smaller t
supplementary design of number 5589
residual design of number 5592

10881 5-(23,12,9720) (complement has $\lambda=22104$)
supplementary design of number 10880

2350 5-(23,12,9792) (complement has $\lambda=22032$)
supplementary design of number 2349

5672 5-(23,12,10296) (complement has $\lambda=21528$)
supplementary design of number 5666

5613 5-(23,12,11016) (complement has $\lambda=20808$)
design of number 5608 with respect to smaller t
supplementary design of number 5609
residual design of number 5611

5681 5-(23,12,11160) (complement has $\lambda=20664$)
residual design of number 5678
supplementary design of number 5680

2357 5-(23,12,11232) (complement has $\lambda=20592$)
supplementary design of number 2356

5625 5-(23,12,11448) (complement has $\lambda=20376$)
design of number 5619 with respect to smaller t
supplementary design of number 5620
residual design of number 5623

2365 5-(23,12,12240) (complement has $\lambda=19584$)
supplementary design of number 2364

5691 5-(23,12,12672) (complement has $\lambda=19152$)
residual design of number 5688
supplementary design of number 5690

10884 5-(23,12,12960) (complement has $\lambda=18864$)
supplementary design of number 10883

10985 5-(23,12,13176) (complement has $\lambda=18648$)
supplementary design of number 10984

5701 5-(23,12,13536) (complement has $\lambda=18288$)
residual design of number 5698
supplementary design of number 5700

10887 5-(23,12,14040) (complement has $\lambda=17784$)
supplementary design of number 10886

10988 5-(23,12,14256) (complement has $\lambda=17568$)
supplementary design of number 10987

2372 5-(23,12,14688) (complement has $\lambda=17136$)
supplementary design of number 2371
design of number 11501 with respect to smaller t
residual design of number 11502

10991 5-(23,12,14904) (complement has $\lambda=16920$)
supplementary design of number 10990

2379 5-(23,12,14976) (complement has $\lambda=16848$)
supplementary design of number 2378

5711 5-(23,12,15048) (complement has $\lambda=16776$)
residual design of number 5708
supplementary design of number 5710

5721 5-(23,12,15120) (complement has $\lambda=16704$)
residual design of number 5718
supplementary design of number 5720

5730 5-(23,12,15192) (complement has $\lambda=16632$)
residual design of number 5727
supplementary design of number 5729

5645 5-(23,12,15336) (complement has $\lambda=16488$)
design of number 5639 with respect to smaller t
supplementary design of number 5640
residual design of number 5643

5740 5-(23,12,15840) (complement has $\lambda=15984$)
residual design of number 5737
supplementary design of number 5739

2386 5-(23,12,15912) (selfcomplementary)
supplementary design of number 2385
residual design of number 2389
residual design of complement of number 2389

7848 6-(23,7,4) (complement has $\lambda=13$)
derived from number 7847

7855 6-(23,7,5) (complement has $\lambda=12$)
derived from number 7854

7860 6-(23,7,6) (complement has $\lambda=11$)
derived from number 7859

7867 6-(23,7,7) (complement has $\lambda=10$)
derived from number 7866

7874 6-(23,7,8) (complement has $\lambda=9$)
derived from number 7873

7849 6-(23,8,32) (complement has $\lambda=104$)
residual design of number 7847

7856 6-(23,8,40) (complement has $\lambda=96$)
residual design of number 7854
derived from number 7880

7861 6-(23,8,48) (complement has $\lambda=88$)
residual design of number 7859
derived from number 7884

7868 6-(23,8,56) (complement has $\lambda=80$)
residual design of number 7866

7875 6-(23,8,64) (complement has $\lambda=72$)
residual design of number 7873
derived from number 7886

5658 6-(23,8,68) (selfcomplementary)
\cite{Kreher93} Halving of the complete design

7882 6-(23,9,200) (complement has $\lambda=480$)
residual design of number 7880

7831 6-(23,9,240) (complement has $\lambda=440$)
derived from number 7829
residual design of number 7884

7839 6-(23,9,320) (complement has $\lambda=360$)
derived from number 7837
residual design of number 7886

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

7832 6-(23,10,840) (complement has $\lambda=1540$)
residual design of number 7829

7840 6-(23,10,1120) (complement has $\lambda=1260$)
residual design of number 7837

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

5587 6-(23,11,1722) (complement has $\lambda=4466$)
PSL(2,19)+++ (>=1 isom. types)
derived from number 5593

5607 6-(23,11,2142) (complement has $\lambda=4046$)
PSL(2,19)+++ (>=1 isom. types)
derived from number 5612

5618 6-(23,11,2226) (complement has $\lambda=3962$)
PSL(2,19)+++ (>=1 isom. types)
derived from number 5624

11500 6-(23,11,2856) (complement has $\lambda=3332$)
TvT: 6-(22,10,840) $\cup$ 6-(22,11,2016)
derived from number 11503

5638 6-(23,11,2982) (complement has $\lambda=3206$)
PSL(2,19)+++ (>=1 isom. types)
derived from number 5644

11495 6-(23,12,2380) (complement has $\lambda=9996$)
supplementary design of number 11494
residual design of number 11497

5588 6-(23,12,3444) (complement has $\lambda=8932$)
supplementary design of number 5587
residual design of number 5593

5608 6-(23,12,4284) (complement has $\lambda=8092$)
supplementary design of number 5607
residual design of number 5612

5619 6-(23,12,4452) (complement has $\lambda=7924$)
supplementary design of number 5618
residual design of number 5624

11501 6-(23,12,5712) (complement has $\lambda=6664$)
supplementary design of number 11500
residual design of number 11503

5639 6-(23,12,5964) (complement has $\lambda=6412$)
supplementary design of number 5638
residual design of number 5644


on 24 points:


2750 5-(24,6,1) (complement has $\lambda=18$)
\cite{Denniston76} $PSL(2,23)$ (3 isom. types)

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

2758 5-(24,6,3) (complement has $\lambda=16$)
\cite{AssmusMattson69} $M_24$ 1 isomorphism type
$PGL(2,23)$ 3 isomorphism types

2762 5-(24,6,4) (complement has $\lambda=15$)
$PGL(2,23)$ 18 isomorphism types
$PGL(2,11)\times C_2$ 392 solutions

2766 5-(24,6,5) (complement has $\lambda=14$)
$PGL(2,23)$ 13 isomorphism types
$PGL(2,11)\times C_2$ 10118 solutions

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

2774 5-(24,6,7) (complement has $\lambda=12$)
$PGL(2,23)$ 20 isomorphism types
$PGL(2,11)\times C_2$

2778 5-(24,6,8) (complement has $\lambda=11$)
$PGL(2,23)$ 51 isomorphism types

2782 5-(24,6,9) (complement has $\lambda=10$)
$PGL(2,23)$ 43 isomorphism types
$PGL(2,11)\times C_2$

2808 5-(24,7,3) (complement has $\lambda=168$)
\cite{Driessen78} $M_{24}$

2849 5-(24,7,6) (complement has $\lambda=165$)
\cite{Kreheretal90} $PGL(2,23))$

2885 5-(24,7,9) (complement has $\lambda=162$)
\cite{Kreheretal90} $PGL(2,23))$

2786 5-(24,7,12) (complement has $\lambda=159$)
\cite{Kreheretal90}

2790 5-(24,7,15) (complement has $\lambda=156$)
\cite{Kreheretal90}

2794 5-(24,7,18) (complement has $\lambda=153$)
\cite{Kreheretal90}

2797 5-(24,7,21) (complement has $\lambda=150$)
\cite{Kreheretal90}

2801 5-(24,7,24) (complement has $\lambda=147$)
\cite{Kreheretal90}

2805 5-(24,7,27) (complement has $\lambda=144$)
\cite{Kreheretal90}

2812 5-(24,7,30) (complement has $\lambda=141$)
\cite{Kreheretal90}

2816 5-(24,7,33) (complement has $\lambda=138$)
\cite{Kreheretal90}

2820 5-(24,7,36) (complement has $\lambda=135$)
\cite{Kreheretal90}
derived from number 6251

2823 5-(24,7,39) (complement has $\lambda=132$)
\cite{Kreheretal90}

2827 5-(24,7,42) (complement has $\lambda=129$)
\cite{Kreheretal90}

2831 5-(24,7,45) (complement has $\lambda=126$)
\cite{Kreheretal90}
derived from number 6256

2834 5-(24,7,48) (complement has $\lambda=123$)
\cite{Kreheretal90}

2838 5-(24,7,51) (complement has $\lambda=120$)
\cite{Kreheretal90}

2842 5-(24,7,54) (complement has $\lambda=117$)
\cite{Kreheretal90}
derived from number 6261
residual design of number 8000

2845 5-(24,7,57) (complement has $\lambda=114$)
\cite{Kreheretal90} $PGL(2,23))$ LS[3](5,7,24)

2853 5-(24,7,60) (complement has $\lambda=111$)
\cite{Kreheretal90}

2857 5-(24,7,63) (complement has $\lambda=108$)
\cite{Driessen78}
derived from number 6265

2860 5-(24,7,66) (complement has $\lambda=105$)
\cite{Kreheretal90}

2864 5-(24,7,69) (complement has $\lambda=102$)
\cite{Kreheretal90}

2868 5-(24,7,72) (complement has $\lambda=99$)
\cite{Kreheretal90}
derived from number 6270

2871 5-(24,7,75) (complement has $\lambda=96$)
\cite{Kreheretal90}

2875 5-(24,7,78) (complement has $\lambda=93$)
\cite{Kreheretal90}

2879 5-(24,7,81) (complement has $\lambda=90$)
\cite{Kreheretal90}
derived from number 6273

2881 5-(24,7,84) (complement has $\lambda=87$)
\cite{Kreheretal90}

2888 5-(24,8,1) (complement has $\lambda=968$)
\cite{Witt38} $M_{24}$ 1 isomorphism type

2892 5-(24,8,2) (complement has $\lambda=967$)
\cite{KramerMagliveras74}
\cite{AssmusMattson66a} $PGL(2,23))$

2896 5-(24,8,3) (complement has $\lambda=966$)
\cite{KramerMagliveras74}
\cite{KramerMagliveras74}

2900 5-(24,8,4) (complement has $\lambda=965$)
\cite{KramerMagliveras74}
\cite{KramerMagliveras74}

2904 5-(24,8,5) (complement has $\lambda=964$)
\cite{KramerMagliveras74}
\cite{KramerMagliveras74}

2908 5-(24,8,6) (complement has $\lambda=963$)
\cite{KramerMagliveras74}
\cite{KramerMagliveras74}

2912 5-(24,8,7) (complement has $\lambda=962$)
\cite{KramerMagliveras74}
\cite{KramerMagliveras74}

2916 5-(24,8,8) (complement has $\lambda=961$)
\cite{KramerMagliveras74}
\cite{KramerMagliveras74}

2920 5-(24,8,9) (complement has $\lambda=960$)
\cite{KramerMagliveras74}
\cite{KramerMagliveras74}

2979 5-(24,8,16) (complement has $\lambda=953$)
$PSL(2,23)$ 2 isomorphism types

2995 5-(24,8,17) (complement has $\lambda=952$)
$PSL(2,23)$ 4 isomorphism types

3002 5-(24,8,18) (complement has $\lambda=951$)
$PSL(2,23)$ 2 isomorphism types

3010 5-(24,8,19) (complement has $\lambda=950$)
$PSL(2,23)$ 1 isomorphism type

3014 5-(24,8,20) (complement has $\lambda=949$)
$PSL(2,23)$ 3 isomorphism types

3022 5-(24,8,21) (complement has $\lambda=948$)
$PSL(2,23)$ 6 isomorphism types

3026 5-(24,8,22) (complement has $\lambda=947$)
$PSL(2,23)$ 11 isomorphism types

3030 5-(24,8,23) (complement has $\lambda=946$)
$PSL(2,23)$ 18 isomorphism types

3034 5-(24,8,24) (complement has $\lambda=945$)
$PGL(2,23)$ 3 isomorphism types

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

3046 5-(24,8,27) (complement has $\lambda=942$)
$PSL(2,23)$ 72 isomorphism types

3050 5-(24,8,28) (complement has $\lambda=941$)
$PGL(2,23)$ 4 isomorphism types

3058 5-(24,8,29) (complement has $\lambda=940$)
$PSL(2,23)$

3062 5-(24,8,30) (complement has $\lambda=939$)
$PGL(2,23)$ 4 isomorphism types

3066 5-(24,8,32) (complement has $\lambda=937$)
$PGL(2,23)$ 8 isomorphism types

3070 5-(24,8,34) (complement has $\lambda=935$)
$PGL(2,23)$ 9 isomorphism types

3073 5-(24,8,35) (complement has $\lambda=934$)
$PGL(2,23)$ 1 isomorphism type

3077 5-(24,8,36) (complement has $\lambda=933$)
$PGL(2,23)$ 13 isomorphism types

3081 5-(24,8,37) (complement has $\lambda=932$)
$PGL(2,23)$ 1 isomorphism type

3085 5-(24,8,38) (complement has $\lambda=931$)
$PGL(2,23)$ 24 isomorphism types

3089 5-(24,8,39) (complement has $\lambda=930$)
$PGL(2,23)$ 4 isomorphism types

3097 5-(24,8,40) (complement has $\lambda=929$)
$PGL(2,23)$ 58 isomorphism types

3101 5-(24,8,41) (complement has $\lambda=928$)
$PGL(2,23)$ 7 isomorphism types

3105 5-(24,8,42) (complement has $\lambda=927$)
$PGL(2,23)$ 55 isomorphism types

3109 5-(24,8,43) (complement has $\lambda=926$)
$PGL(2,23)$ 6 isomorphism types

3117 5-(24,8,44) (complement has $\lambda=925$)
$PGL(2,23)$ 48 isomorphism types

3121 5-(24,8,45) (complement has $\lambda=924$)
$PGL(2,23)$ 4 isomorphism types

3125 5-(24,8,46) (complement has $\lambda=923$)
$PGL(2,23)$ 79 isomorphism types

3129 5-(24,8,47) (complement has $\lambda=922$)
$PGL(2,23)$ 6 isomorphism types

3133 5-(24,8,48) (complement has $\lambda=921$)
$PGL(2,23)$ 217 isomorphism types

3137 5-(24,8,49) (complement has $\lambda=920$)
$PGL(2,23)$ 21 isomorphism types

3141 5-(24,8,50) (complement has $\lambda=919$)
$PGL(2,23)$ 231 isomorphism types

3145 5-(24,8,51) (complement has $\lambda=918$)
$PGL(2,23)$ 27 isomorphism types

3148 5-(24,8,52) (complement has $\lambda=917$)
$PGL(2,23)$ 220 isomorphism types

3152 5-(24,8,53) (complement has $\lambda=916$)
$PGL(2,23)$

3156 5-(24,8,54) (complement has $\lambda=915$)
$PGL(2,23)$

3160 5-(24,8,55) (complement has $\lambda=914$)
$PGL(2,23)$

3164 5-(24,8,56) (complement has $\lambda=913$)
$PGL(2,23)$

3168 5-(24,8,57) (complement has $\lambda=912$)
$PGL(2,23)$

3172 5-(24,8,58) (complement has $\lambda=911$)
$PGL(2,23)$

3176 5-(24,8,59) (complement has $\lambda=910$)
$PGL(2,23)$

3180 5-(24,8,60) (complement has $\lambda=909$)
$PGL(2,23)$

3183 5-(24,8,61) (complement has $\lambda=908$)
$PGL(2,23)$

3187 5-(24,8,62) (complement has $\lambda=907$)
$PGL(2,23)$

3191 5-(24,8,63) (complement has $\lambda=906$)
$PGL(2,23)$

3195 5-(24,8,64) (complement has $\lambda=905$)
$PGL(2,23)$

3199 5-(24,8,70) (complement has $\lambda=899$)
$PSL(2,23)$

3203 5-(24,8,72) (complement has $\lambda=897$)
$PGL(2,23)$

3207 5-(24,8,76) (complement has $\lambda=893$)
$PGL(2,23)$

3211 5-(24,8,80) (complement has $\lambda=889$)
$PGL(2,23)$

3215 5-(24,8,88) (complement has $\lambda=881$)
$PGL(2,23)$

3219 5-(24,8,92) (complement has $\lambda=877$)
$PGL(2,23)$

3223 5-(24,8,96) (complement has $\lambda=873$)
$PGL(2,23)$

2928 5-(24,8,100) (complement has $\lambda=869$)
$PGL(2,23)$

2932 5-(24,8,104) (complement has $\lambda=865$)
$PGL(2,23)$

2936 5-(24,8,112) (complement has $\lambda=857$)
$PGL(2,23)$

2940 5-(24,8,116) (complement has $\lambda=853$)
$PGL(2,23)$

2944 5-(24,8,120) (complement has $\lambda=849$)
$PGL(2,23)$

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

2956 5-(24,8,132) (complement has $\lambda=837$)
$PGL(2,23)$

2960 5-(24,8,136) (complement has $\lambda=833$)
$PGL(2,23)$

2963 5-(24,8,140) (complement has $\lambda=829$)
$PGL(2,23)$

2967 5-(24,8,144) (complement has $\lambda=825$)
$PGL(2,23)$

2971 5-(24,8,152) (complement has $\lambda=817$)
$PGL(2,23)$

2975 5-(24,8,156) (complement has $\lambda=813$)
$PGL(2,23)$

2983 5-(24,8,160) (complement has $\lambda=809$)
$PGL(2,23)$

2987 5-(24,8,164) (complement has $\lambda=805$)
$PGL(2,23)$

2991 5-(24,8,168) (complement has $\lambda=801$)
$PGL(2,23)$

2998 5-(24,8,176) (complement has $\lambda=793$)
$PGL(2,23)$

3006 5-(24,8,184) (complement has $\lambda=785$)
$PGL(2,23)$

3018 5-(24,8,200) (complement has $\lambda=769$)
$PGL(2,23)$

6253 5-(24,8,204) (complement has $\lambda=765$)
residual design of number 6251

5748 5-(24,8,228) (complement has $\lambda=741$)
design of number 5747 with respect to smaller t

6258 5-(24,8,255) (complement has $\lambda=714$)
residual design of number 6256

5757 5-(24,8,285) (complement has $\lambda=684$)
design of number 5756 with respect to smaller t
derived from number 6275

3054 5-(24,8,288) (complement has $\lambda=681$)
$M_{11}_{12}\times id_2$

6263 5-(24,8,306) (complement has $\lambda=663$)
residual design of number 6261
derived from number 8002

6280 5-(24,8,324) (complement has $\lambda=645$)
derived from number 6278

5764 5-(24,8,342) (complement has $\lambda=627$)
design of number 5763 with respect to smaller t
derived from number 7896

6267 5-(24,8,357) (complement has $\lambda=612$)
residual design of number 6265
derived from number 8004

3093 5-(24,8,393) (complement has $\lambda=576$)
$M_{11}_{12}\times id_2$

5772 5-(24,8,399) (complement has $\lambda=570$)
design of number 5771 with respect to smaller t

6272 5-(24,8,408) (complement has $\lambda=561$)
residual design of number 6270

3113 5-(24,8,432) (complement has $\lambda=537$)
$M_{11}_{12}\times id_2$
derived from number 10488

5779 5-(24,8,456) (complement has $\lambda=513$)
design of number 5778 with respect to smaller t
derived from number 7899

6274 5-(24,8,459) (complement has $\lambda=510$)
residual design of number 6273
derived from number 8008

3642 5-(24,9,6) (complement has $\lambda=3870$)
\cite{AssmusMattson69c} $PSL(2,23)$ (1 isomorphism type) block transitive

3294 5-(24,9,12) (complement has $\lambda=3864$)
$PGL(2,23)$ (1 isomorphism type) block transitive

3607 5-(24,9,36) (complement has $\lambda=3840$)
\cite{Driessen78} $M_{24}$ 1 isomorphism type
$PSL(2,23)$ (4 solutions)

3613 5-(24,9,42) (complement has $\lambda=3834$)
$PSL(2,23)$ (10 isomorphism types)

3628 5-(24,9,48) (complement has $\lambda=3828$)
$PSL(2,23)$ (12 isomorphism types)

3639 5-(24,9,54) (complement has $\lambda=3822$)
$PGL(2,23)$ (1 isomorphism type)

3646 5-(24,9,60) (complement has $\lambda=3816$)
$PGL(2,23)$ (2 isomorphism types)

3649 5-(24,9,66) (complement has $\lambda=3810$)
$PGL(2,23)$ (2 isomorphism types)

3662 5-(24,9,72) (complement has $\lambda=3804$)
$PGL(2,23)$ (7 isomorphism types)

3680 5-(24,9,78) (complement has $\lambda=3798$)
$PGL(2,23)$ (6 isomorphism types)

3691 5-(24,9,84) (complement has $\lambda=3792$)
$PGL(2,23)$ (11 isomorphism types)

3705 5-(24,9,90) (complement has $\lambda=3786$)
$PGL(2,23)$ (17 isomorphism types)

3712 5-(24,9,96) (complement has $\lambda=3780$)
$PGL(2,23)$ (43 isomorphism types)

3231 5-(24,9,102) (complement has $\lambda=3774$)
$PGL(2,23)$ (38 isomorphism types)

3238 5-(24,9,108) (complement has $\lambda=3768$)
$PGL(2,23)$ (152 isomorphism types)

3264 5-(24,9,114) (complement has $\lambda=3762$)
$PGL(2,23)$ (205 isomorphism types)

3296 5-(24,9,120) (complement has $\lambda=3756$)
$PGL(2,23)$ (326 isomorphism types)

3302 5-(24,9,126) (complement has $\lambda=3750$)
$PGL(2,23)$ (>1 isomorphism types)

3325 5-(24,9,132) (complement has $\lambda=3744$)
$PGL(2,23)$ (>1 isomorphism types)
$PSL(2,23)$

3352 5-(24,9,138) (complement has $\lambda=3738$)
$PGL(2,23)$ (>1 isomorphism types)
$PSL(2,23)$

3375 5-(24,9,144) (complement has $\lambda=3732$)
$PGL(2,23)$ (>1 isomorphism types)

3393 5-(24,9,150) (complement has $\lambda=3726$)
$PGL(2,23)$ (>1 isomorphism types)

3420 5-(24,9,156) (complement has $\lambda=3720$)
$PGL(2,23)$ (>1 isomorphism types)

3517 5-(24,9,180) (complement has $\lambda=3696$)
$PGL(2,23)$ (>1 isomorphism types)

3585 5-(24,9,210) (complement has $\lambda=3666$)
$PGL(2,23)$ (>1 isomorphism types)

3588 5-(24,9,240) (complement has $\lambda=3636$)
$PSL(2,23)$ (>1 isomorphism types)

3589 5-(24,9,252) (complement has $\lambda=3624$)
$PGL(2,23)$ (>1 isomorphism types)

3591 5-(24,9,258) (complement has $\lambda=3618$)
$PSL(2,23)$ (>1 isomorphism types)

3593 5-(24,9,264) (complement has $\lambda=3612$)
$PGL(2,23)$ (>1 isomorphism types)

3596 5-(24,9,282) (complement has $\lambda=3594$)
$PGL(2,23)$ (>1 isomorphism types)

3599 5-(24,9,306) (complement has $\lambda=3570$)
$PGL(2,23)$ (>1 isomorphism types)

3602 5-(24,9,312) (complement has $\lambda=3564$)
$PSL(2,23)$ (>1 isomorphism types)

3604 5-(24,9,342) (complement has $\lambda=3534$)
$PGL(2,23)$ (>1 isomorphism types)

3609 5-(24,9,372) (complement has $\lambda=3504$)
$PGL(2,23)$ (>1 isomorphism types)

3616 5-(24,9,432) (complement has $\lambda=3444$)
$PGL(2,23)$ (>1 isomorphism types)

3620 5-(24,9,444) (complement has $\lambda=3432$)
$PGL(2,23)$ (>1 isomorphism types)

10993 5-(24,9,456) (complement has $\lambda=3420$)
TvT: 5-(23,8,96) $\cup$ 5-(23,9,360)

3624 5-(24,9,468) (complement has $\lambda=3408$)
$PGL(2,23)$ (>1 isomorphism types)

3631 5-(24,9,492) (complement has $\lambda=3384$)
$PSL(2,23)$

3635 5-(24,9,504) (complement has $\lambda=3372$)
$PGL(2,23)$ (>1 isomorphism types)

3652 5-(24,9,696) (complement has $\lambda=3180$)
$PSL(2,23)$

3654 5-(24,9,702) (complement has $\lambda=3174$)
$PSL(2,23)$

3658 5-(24,9,714) (complement has $\lambda=3162$)
$PSL(2,23)$

3664 5-(24,9,732) (complement has $\lambda=3144$)
$PSL(2,23)$

3668 5-(24,9,744) (complement has $\lambda=3132$)
$PSL(2,23)$

3672 5-(24,9,750) (complement has $\lambda=3126$)
$PSL(2,23)$

3676 5-(24,9,764) (complement has $\lambda=3112$)
$PSL(2,23)$

3683 5-(24,9,780) (complement has $\lambda=3096$)
$PSL(2,23)$

3687 5-(24,9,810) (complement has $\lambda=3066$)
$PSL(2,23)$

3693 5-(24,9,840) (complement has $\lambda=3036$)
$PSL(2,23)$

3697 5-(24,9,870) (complement has $\lambda=3006$)
$PSL(2,23)$

3701 5-(24,9,876) (complement has $\lambda=3000$)
$PSL(2,23)$

3708 5-(24,9,924) (complement has $\lambda=2952$)
$PGL(2,23)$ (>1 isomorphism types)

3714 5-(24,9,996) (complement has $\lambda=2880$)
$PGL(2,23)$ (>1 isomorphism types)

3227 5-(24,9,1008) (complement has $\lambda=2868$)
$PGL(2,23)$ (>1 isomorphism types)

10994 5-(24,9,1026) (complement has $\lambda=2850$)
TvT: 5-(23,8,216) $\cup$ 5-(23,9,810)

3234 5-(24,9,1068) (complement has $\lambda=2808$)
$PGL(2,23)$ (>1 isomorphism types)

3240 5-(24,9,1080) (complement has $\lambda=2796$)
$M_{11}_{12}\times id_2$ 9 solutions
$PGL(2,23)$ (>1 isomorphism types)

3244 5-(24,9,1086) (complement has $\lambda=2790$)
$PSL(2,23)$ (>1 isomorphism types)

3248 5-(24,9,1104) (complement has $\lambda=2772$)
$PGL(2,23)$ (>1 isomorphism types)

3252 5-(24,9,1116) (complement has $\lambda=2760$)
$PGL(2,23)$ (>1 isomorphism types)

3256 5-(24,9,1122) (complement has $\lambda=2754$)
$PSL(2,23)$ (>1 isomorphism types)

3260 5-(24,9,1128) (complement has $\lambda=2748$)
$PSL(2,23)$ (>1 isomorphism types)

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)

3274 5-(24,9,1158) (complement has $\lambda=2718$)
$PGL(2,23)$ (>1 isomorphism types)

3278 5-(24,9,1170) (complement has $\lambda=2706$)
$PGL(2,23)$ (>1 isomorphism types)

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

3286 5-(24,9,1188) (complement has $\lambda=2688$)
$PGL(2,23)$ (>1 isomorphism types)

3290 5-(24,9,1194) (complement has $\lambda=2682$)
$PGL(2,23)$ (>1 isomorphism types)

3298 5-(24,9,1224) (complement has $\lambda=2652$)
$PGL(2,23)$ (>1 isomorphism types)
residual design of number 8002

3305 5-(24,9,1260) (complement has $\lambda=2616$)
$PGL(2,23)$ (>1 isomorphism types)

3309 5-(24,9,1266) (complement has $\lambda=2610$)
$M_{11}_{12}\times id_2$

3313 5-(24,9,1284) (complement has $\lambda=2592$)
$PGL(2,23)$ (>1 isomorphism types)

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

3321 5-(24,9,1302) (complement has $\lambda=2574$)
$PGL(2,23)$ (>1 isomorphism types)

3328 5-(24,9,1320) (complement has $\lambda=2556$)
$PGL(2,23)$ (>1 isomorphism types)

3332 5-(24,9,1332) (complement has $\lambda=2544$)
$PGL(2,23)$ (>1 isomorphism types)

3336 5-(24,9,1350) (complement has $\lambda=2526$)
$PGL(2,23)$ (>1 isomorphism types)

3340 5-(24,9,1356) (complement has $\lambda=2520$)
$PGL(2,23)$ (>1 isomorphism types)
derived from number 7920

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

3348 5-(24,9,1374) (complement has $\lambda=2502$)
$PGL(2,23)$ (>1 isomorphism types)

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)

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)

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)

3377 5-(24,9,1446) (complement has $\lambda=2430$)
$PSL(2,23)$ (>1 isomorphism types)

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)

3389 5-(24,9,1494) (complement has $\lambda=2382$)
$PGL(2,23)$ (>1 isomorphism types)

3396 5-(24,9,1500) (complement has $\lambda=2376$)
$M_{11}_{12}\times id_2$

3400 5-(24,9,1506) (complement has $\lambda=2370$)
$PSL(2,23)$ (>1 isomorphism types)

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)

3412 5-(24,9,1530) (complement has $\lambda=2346$)
$PGL(2,23)$ (>1 isomorphism types)

7940 5-(24,9,1536) (complement has $\lambda=2340$)
derived from number 7936

3416 5-(24,9,1548) (complement has $\lambda=2328$)
$PGL(2,23)$ (>1 isomorphism types)

3422 5-(24,9,1560) (complement has $\lambda=2316$)
$PGL(2,23)$ (>1 isomorphism types)

3426 5-(24,9,1566) (complement has $\lambda=2310$)
$M_{11}_{12}\times id_2$

3430 5-(24,9,1578) (complement has $\lambda=2298$)
$PGL(2,23)$ (>1 isomorphism types)

3434 5-(24,9,1584) (complement has $\lambda=2292$)
$PGL(2,23)$ (>1 isomorphism types)

3438 5-(24,9,1596) (complement has $\lambda=2280$)
$PGL(2,23)$ (>1 isomorphism types)

3442 5-(24,9,1602) (complement has $\lambda=2274$)
$PGL(2,23)$ (>1 isomorphism types)

3446 5-(24,9,1608) (complement has $\lambda=2268$)
$PGL(2,23)$ (>1 isomorphism types)

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)

3458 5-(24,9,1632) (complement has $\lambda=2244$)
$PGL(2,23)$ (>1 isomorphism types)

3462 5-(24,9,1638) (complement has $\lambda=2238$)
$PGL(2,23)$ (>1 isomorphism types)

3466 5-(24,9,1656) (complement has $\lambda=2220$)
$PGL(2,23)$ (>1 isomorphism types)

3470 5-(24,9,1674) (complement has $\lambda=2202$)
$PGL(2,23)$ (>1 isomorphism types)

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)

3486 5-(24,9,1710) (complement has $\lambda=2166$)
$PGL(2,23)$ (>1 isomorphism types)

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

3494 5-(24,9,1728) (complement has $\lambda=2148$)
$PGL(2,23)$ (>1 isomorphism types)
residual design of number 10488
derived from number 10489

3497 5-(24,9,1740) (complement has $\lambda=2136$)
$PSL(2,23)$ (>1 isomorphism types)

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)

3509 5-(24,9,1776) (complement has $\lambda=2100$)
$PSL(2,23)$ (>1 isomorphism types)

3513 5-(24,9,1788) (complement has $\lambda=2088$)
$PGL(2,23)$ (>1 isomorphism types)

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

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)

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)

3552 5-(24,9,1878) (complement has $\lambda=1998$)
$PGL(2,23)$ (>1 isomorphism types)

3556 5-(24,9,1896) (complement has $\lambda=1980$)
$PGL(2,23)$ (>1 isomorphism types)
derived from number 7959

3560 5-(24,9,1902) (complement has $\lambda=1974$)
$PGL(2,23)$ (>1 isomorphism types)

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)

3574 5-(24,9,1926) (complement has $\lambda=1950$)
$PGL(2,23)$ (>1 isomorphism types)
derived from number 7965

3578 5-(24,9,1932) (complement has $\lambda=1944$)
$PGL(2,23)$ (>1 isomorphism types)
derived from number 10517

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

2488 5-(24,10,36) (complement has $\lambda=11592$)
$PSL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97} block-transitive

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}

2401 5-(24,10,108) (complement has $\lambda=11520$)
$PSL(2,23)$ (7 isomorphism types) \cite{KitazumeMunemasa97}

2405 5-(24,10,126) (complement has $\lambda=11502$)
$PSL(2,23)$ (2 isomorphism types) \cite{KitazumeMunemasa97}

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}

2413 5-(24,10,162) (complement has $\lambda=11466$)
$PSL(2,23)$ (28 isomorphism types) \cite{KitazumeMunemasa97}

2433 5-(24,10,180) (complement has $\lambda=11448$)
$PSL(2,23)$ (45 isomorphism types) \cite{KitazumeMunemasa97}
\cite{Driessen78}

2437 5-(24,10,198) (complement has $\lambda=11430$)
$PSL(2,23)$ (100 isomorphism types) \cite{KitazumeMunemasa97}

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}

2452 5-(24,10,234) (complement has $\lambda=11394$)
$PSL(2,23)$ (248 isomorphism types) \cite{KitazumeMunemasa97}

2456 5-(24,10,252) (complement has $\lambda=11376$)
$PSL(2,23)$ (689 isomorphism types) \cite{KitazumeMunemasa97}

2464 5-(24,10,270) (complement has $\lambda=11358$)
$PSL(2,23)$ (691 isomorphism types) \cite{KitazumeMunemasa97}

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}

2476 5-(24,10,306) (complement has $\lambda=11322$)
$PSL(2,23)$ (2038 isomorphism types) \cite{KitazumeMunemasa97}

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}

2484 5-(24,10,342) (complement has $\lambda=11286$)
$PSL(2,23)$ (4929 isomorphism types) \cite{KitazumeMunemasa97}

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}

2496 5-(24,10,378) (complement has $\lambda=11250$)
$PSL(2,23)$ (9082 isomorphism types) \cite{KitazumeMunemasa97}

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}

2504 5-(24,10,414) (complement has $\lambda=11214$)
$PSL(2,23)$ (14714 isomorphism types) \cite{KitazumeMunemasa97}

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}

2512 5-(24,10,450) (complement has $\lambda=11178$)
$PSL(2,23)$ (21430 isomorphism types) \cite{KitazumeMunemasa97}

2516 5-(24,10,468) (complement has $\lambda=11160$)
$PSL(2,23)$ (30825 isomorphism types) \cite{KitazumeMunemasa97}

2520 5-(24,10,486) (complement has $\lambda=11142$)
$PSL(2,23)$ (26361 isomorphism types) \cite{KitazumeMunemasa97}

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}

2528 5-(24,10,522) (complement has $\lambda=11106$)
$PSL(2,23)$ (27825 isomorphism types) \cite{KitazumeMunemasa97}

2536 5-(24,10,540) (complement has $\lambda=11088$)
$PSL(2,23)$ (52255 isomorphism types) \cite{KitazumeMunemasa97}
\cite{Driessen78}

2556 5-(24,10,558) (complement has $\lambda=11070$)
$PSL(2,23)$ (27210 isomorphism types) \cite{KitazumeMunemasa97}

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}

2583 5-(24,10,594) (complement has $\lambda=11034$)
$PSL(2,23)$ (23963 isomorphism types) \cite{KitazumeMunemasa97}

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}

2591 5-(24,10,630) (complement has $\lambda=10998$)
$PSL(2,23)$ (16889 isomorphism types) \cite{KitazumeMunemasa97}

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}

2599 5-(24,10,666) (complement has $\lambda=10962$)
$PSL(2,23)$ (10178 isomorphism types) \cite{KitazumeMunemasa97}

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}

2607 5-(24,10,702) (complement has $\lambda=10926$)
$PSL(2,23)$ (6096 isomorphism types) \cite{KitazumeMunemasa97}

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}

2618 5-(24,10,738) (complement has $\lambda=10890$)
$PSL(2,23)$ (3105 isomorphism types) \cite{KitazumeMunemasa97}

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}

2626 5-(24,10,774) (complement has $\lambda=10854$)
$PSL(2,23)$ (1163 isomorphism types) \cite{KitazumeMunemasa97}

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}

2633 5-(24,10,810) (complement has $\lambda=10818$)
$PSL(2,23)$ (356 isomorphism types) \cite{KitazumeMunemasa97}

2637 5-(24,10,828) (complement has $\lambda=10800$)
$PSL(2,23)$ (416 isomorphism types) \cite{KitazumeMunemasa97}

2641 5-(24,10,846) (complement has $\lambda=10782$)
$PSL(2,23)$ (139 isomorphism types) \cite{KitazumeMunemasa97}

2645 5-(24,10,864) (complement has $\lambda=10764$)
$PSL(2,23)$ (117 isomorphism types) \cite{KitazumeMunemasa97}

2649 5-(24,10,882) (complement has $\lambda=10746$)
$PSL(2,23)$ (45 isomorphism types) \cite{KitazumeMunemasa97}

2653 5-(24,10,900) (complement has $\lambda=10728$)
$PSL(2,23)$ (14 isomorphism types) \cite{KitazumeMunemasa97}

2657 5-(24,10,918) (complement has $\lambda=10710$)
$PSL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97}

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}

2397 5-(24,10,1008) (complement has $\lambda=10620$)
\cite{Driessen78}

10889 5-(24,10,1026) (complement has $\lambda=10602$)
TvT: 5-(23,9,270) $\cup$ 5-(23,10,756)

11032 5-(24,10,1368) (complement has $\lambda=10260$)
TvT: 5-(23,9,360) $\cup$ 5-(23,10,1008)

2417 5-(24,10,1674) (complement has $\lambda=9954$)
$PSL(2,23)$

2421 5-(24,10,1692) (complement has $\lambda=9936$)
$PSL(2,23)$

2425 5-(24,10,1764) (complement has $\lambda=9864$)
$PSL(2,23)$

2429 5-(24,10,1782) (complement has $\lambda=9846$)
$PSL(2,23)$

2441 5-(24,10,2052) (complement has $\lambda=9576$)
$PSL(2,23)$ (many isomorphism types)

2445 5-(24,10,2088) (complement has $\lambda=9540$)
$PSL(2,23)$ (many isomorphism types)

2460 5-(24,10,2538) (complement has $\lambda=9090$)
$PSL(2,23)$

2472 5-(24,10,3042) (complement has $\lambda=8586$)
$PSL(2,23)$ (many isomorphism types)

10536 5-(24,10,3204) (complement has $\lambda=8424$)
derived from number 10529

10568 5-(24,10,3240) (complement has $\lambda=8388$)
derived from number 10561

7911 5-(24,10,3528) (complement has $\lambda=8100$)
residual design of number 7907
derived from number 7908

10504 5-(24,10,3888) (complement has $\lambda=7740$)
residual design of number 10501
derived from number 10502

7925 5-(24,10,4068) (complement has $\lambda=7560$)
residual design of number 7920
derived from number 7921

7833 5-(24,10,4104) (complement has $\lambda=7524$)
design of number 7830 with respect to smaller t
residual design of number 7889

7941 5-(24,10,4608) (complement has $\lambda=7020$)
residual design of number 7936
derived from number 7937

10621 5-(24,10,5076) (complement has $\lambda=6552$)
derived from number 10614

7956 5-(24,10,5148) (complement has $\lambda=6480$)
residual design of number 7953
derived from number 7954

10491 5-(24,10,5184) (complement has $\lambda=6444$)
residual design of number 10489
derived from number 10490

2532 5-(24,10,5310) (complement has $\lambda=6318$)
$PSL(2,23)$ (many isomorphism types)

2540 5-(24,10,5400) (complement has $\lambda=6228$)
$PSL(2,23)$ (many isomorphism types)

7841 5-(24,10,5472) (complement has $\lambda=6156$)
design of number 7838 with respect to smaller t
residual design of number 7892

2544 5-(24,10,5526) (complement has $\lambda=6102$)
$PSL(2,23)$ (many isomorphism types)

2548 5-(24,10,5544) (complement has $\lambda=6084$)
$PSL(2,23)$ (many isomorphism types)

2552 5-(24,10,5562) (complement has $\lambda=6066$)
$PSL(2,23)$ (many isomorphism types)

2560 5-(24,10,5598) (complement has $\lambda=6030$)
$PSL(2,23)$ (many isomorphism types)

2564 5-(24,10,5652) (complement has $\lambda=5976$)
$PSL(2,23)$ (many isomorphism types)

7962 5-(24,10,5688) (complement has $\lambda=5940$)
residual design of number 7959
derived from number 7960

2568 5-(24,10,5724) (complement has $\lambda=5904$)
$PSL(2,23)$ (many isomorphism types)

2576 5-(24,10,5760) (complement has $\lambda=5868$)
$PSL(2,23)$ (many isomorphism types)

7970 5-(24,10,5778) (complement has $\lambda=5850$)
residual design of number 7965
derived from number 7966

7984 5-(24,10,5796) (complement has $\lambda=5832$)
derived from number 7980
residual design of number 10517

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

2676 5-(24,11,336) (complement has $\lambda=26796$)
\cite{Bluskov}

2669 5-(24,11,2310) (complement has $\lambda=24822$)
\cite{Bluskov}

11033 5-(24,11,2394) (complement has $\lambda=24738$)
TvT: 5-(23,10,756) $\cup$ 5-(23,11,1638)

11049 5-(24,11,3192) (complement has $\lambda=23940$)
TvT: 5-(23,10,1008) $\cup$ 5-(23,11,2184)

2682 5-(24,11,4032) (complement has $\lambda=23100$)
\cite{Bluskov}

2687 5-(24,11,4620) (complement has $\lambda=22512$)
\cite{Driessen78}

2694 5-(24,11,4956) (complement has $\lambda=22176$)
\cite{Bluskov}

10537 5-(24,11,7476) (complement has $\lambda=19656$)
residual design of number 10529
derived from number 10530

10569 5-(24,11,7560) (complement has $\lambda=19572$)
residual design of number 10561
derived from number 10562

5792 5-(24,11,7728) (complement has $\lambda=19404$)
derived from number 5789

5812 5-(24,11,7854) (complement has $\lambda=19278$)
derived from number 5809

5832 5-(24,11,8190) (complement has $\lambda=18942$)
derived from number 5829

7912 5-(24,11,8232) (complement has $\lambda=18900$)
residual design of number 7908

5852 5-(24,11,8316) (complement has $\lambda=18816$)
derived from number 5849

5872 5-(24,11,8652) (complement has $\lambda=18480$)
derived from number 5869

5664 5-(24,11,8778) (complement has $\lambda=18354$)
design of number 5663 with respect to smaller t
derived from number 5889

10505 5-(24,11,9072) (complement has $\lambda=18060$)
residual design of number 10502
derived from number 10503

5905 5-(24,11,9114) (complement has $\lambda=18018$)
derived from number 5902

5925 5-(24,11,9240) (complement has $\lambda=17892$)
derived from number 5922

7926 5-(24,11,9492) (complement has $\lambda=17640$)
residual design of number 7921

2699 5-(24,11,9576) (complement has $\lambda=17556$)
TvT: 5-(23,10,3024) $\cup$ 5-(23,11,6552)

5945 5-(24,11,9702) (complement has $\lambda=17430$)
derived from number 5942

5965 5-(24,11,10164) (complement has $\lambda=16968$)
derived from number 5962

5985 5-(24,11,10500) (complement has $\lambda=16632$)
derived from number 5982

6005 5-(24,11,10626) (complement has $\lambda=16506$)
derived from number 6002

7942 5-(24,11,10752) (complement has $\lambda=16380$)
residual design of number 7937
derived from number 10593

6025 5-(24,11,10962) (complement has $\lambda=16170$)
derived from number 6022

6045 5-(24,11,11088) (complement has $\lambda=16044$)
derived from number 6042

6061 5-(24,11,11424) (complement has $\lambda=15708$)
derived from number 6058

6081 5-(24,11,11550) (complement has $\lambda=15582$)
derived from number 6078

10622 5-(24,11,11844) (complement has $\lambda=15288$)
residual design of number 10614
derived from number 10615

6101 5-(24,11,11886) (complement has $\lambda=15246$)
derived from number 6098

10891 5-(24,11,11970) (complement has $\lambda=15162$)
TvT: 5-(23,10,3780) $\cup$ 5-(23,11,8190)

6121 5-(24,11,12012) (complement has $\lambda=15120$)
derived from number 6118
residual design of number 7954

10492 5-(24,11,12096) (complement has $\lambda=15036$)
residual design of number 10490

6141 5-(24,11,12348) (complement has $\lambda=14784$)
derived from number 6138

6161 5-(24,11,12474) (complement has $\lambda=14658$)
derived from number 6158

2664 5-(24,11,12768) (complement has $\lambda=14364$)
TvT: 5-(23,10,4032) $\cup$ 5-(23,11,8736)

6181 5-(24,11,12810) (complement has $\lambda=14322$)
derived from number 6178

6201 5-(24,11,12936) (complement has $\lambda=14196$)
derived from number 6198

6215 5-(24,11,13272) (complement has $\lambda=13860$)
derived from number 6212
residual design of number 7960

6234 5-(24,11,13398) (complement has $\lambda=13734$)
derived from number 6231

7971 5-(24,11,13482) (complement has $\lambda=13650$)
residual design of number 7966

7985 5-(24,11,13524) (complement has $\lambda=13608$)
residual design of number 7980
derived from number 7981

2667 5-(24,11,13566) (selfcomplementary)
TvT: 5-(23,11,9282) $\cup$ 5-(23,10,4284) Halving of the complete design

2722 5-(24,12,48) (complement has $\lambda=50340$)
\cite{AssmusMattson69c}
Alltop construction for design number 2724
\cite{Driessen}

2726 5-(24,12,576) (complement has $\lambda=49812$)
$PSL(2,23)$ (1 isomorphism type) \cite{AssmusMattson69c}
Alltop construction for design number 2728

2681 5-(24,12,624) (complement has $\lambda=49764$)
Alltop construction for design number 2678

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

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

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

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

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

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}

2718 5-(24,12,4032) (complement has $\lambda=46356$)
\cite{Bluskov}
Alltop construction for design number 2720

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

2675 5-(24,12,4290) (complement has $\lambda=46098$)
Alltop construction for design number 2672
\cite{Bluskov}

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

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

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

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

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

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

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

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

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

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

2730 5-(24,12,6336) (complement has $\lambda=44052$)
Alltop construction for design number 2732

2734 5-(24,12,6384) (complement has $\lambda=44004$)
Alltop construction for design number 2736

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

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

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

2738 5-(24,12,6912) (complement has $\lambda=43476$)
Alltop construction for design number 2740

2742 5-(24,12,6960) (complement has $\lambda=43428$)
Alltop construction for design number 2744

10769 5-(24,12,7182) (complement has $\lambda=43206$)
Alltop construction for design number 10766
Tran van Trung construction with supplementary design for design number 10856

10923 5-(24,12,7296) (complement has $\lambda=43092$)
Alltop construction for design number 10920
Tran van Trung construction with supplementary design for design number 10975

2686 5-(24,12,7488) (complement has $\lambda=42900$)
Alltop construction for design number 2684

10773 5-(24,12,7638) (complement has $\lambda=42750$)
Alltop construction for design number 10770
Tran van Trung construction with supplementary design for design number 10859

2338 5-(24,12,7752) (complement has $\lambda=42636$)
Tran van Trung construction with supplementary design for design number 2335
Alltop construction for design number 2337

10777 5-(24,12,7866) (complement has $\lambda=42522$)
Alltop construction for design number 10774
Tran van Trung construction with supplementary design for design number 10862

11010 5-(24,12,7980) (complement has $\lambda=42408$)
Alltop construction for design number 11007
Tran van Trung construction with supplementary design for design number 11029

10781 5-(24,12,8208) (complement has $\lambda=42180$)
Alltop construction for design number 10778
Tran van Trung construction with supplementary design for design number 10865

10927 5-(24,12,8322) (complement has $\lambda=42066$)
Alltop construction for design number 10924
Tran van Trung construction with supplementary design for design number 10978

10785 5-(24,12,8550) (complement has $\lambda=41838$)
Alltop construction for design number 10782
Tran van Trung construction with supplementary design for design number 10868

2693 5-(24,12,8580) (complement has $\lambda=41808$)
Alltop construction for design number 2690

10789 5-(24,12,8892) (complement has $\lambda=41496$)
Alltop construction for design number 10786

2698 5-(24,12,9204) (complement has $\lambda=41184$)
Alltop construction for design number 2696

2746 5-(24,12,9690) (complement has $\lambda=40698$)
Alltop construction for design number 2748
Tran van Trung construction with supplementary design for design number 11484
design of number 11496 with respect to smaller t

10793 5-(24,12,10260) (complement has $\lambda=40128$)
Alltop construction for design number 10790
Tran van Trung construction with supplementary design for design number 10871

10931 5-(24,12,10602) (complement has $\lambda=39786$)
Alltop construction for design number 10928
Tran van Trung construction with supplementary design for design number 10981

10797 5-(24,12,11286) (complement has $\lambda=39102$)
Alltop construction for design number 10794
Tran van Trung construction with supplementary design for design number 10874

2345 5-(24,12,11628) (complement has $\lambda=38760$)
Tran van Trung construction with supplementary design for design number 2342
Alltop construction for design number 2344
\cite{Bluskov}

10801 5-(24,12,12312) (complement has $\lambda=38076$)
Alltop construction for design number 10798
Tran van Trung construction with supplementary design for design number 10877

10538 5-(24,12,13884) (complement has $\lambda=36504$)
residual design of number 10530
derived from number 10531
Alltop construction for design number 10545

5599 5-(24,12,14022) (complement has $\lambda=36366$)
Tran van Trung construction with supplementary design for design number 5589
design of number 5592 with respect to smaller t
Alltop construction for design number 5596

10570 5-(24,12,14040) (complement has $\lambda=36348$)
residual design of number 10562
derived from number 10563
Alltop construction for design number 10577

5793 5-(24,12,14352) (complement has $\lambda=36036$)
residual design of number 5789
derived from number 5790
Alltop construction for design number 5803

5813 5-(24,12,14586) (complement has $\lambda=35802$)
residual design of number 5809
derived from number 5810
Alltop construction for design number 5823

2702 5-(24,12,14964) (complement has $\lambda=35424$)
\cite{Bluskov}
Alltop construction for design number 2704

5833 5-(24,12,15210) (complement has $\lambda=35178$)
residual design of number 5829
derived from number 5830
Alltop construction for design number 5843

7917 5-(24,12,15288) (complement has $\lambda=35100$)
Alltop construction for design number 7915

10805 5-(24,12,15390) (complement has $\lambda=34998$)
Alltop construction for design number 10802
Tran van Trung construction with supplementary design for design number 10880

5853 5-(24,12,15444) (complement has $\lambda=34944$)
residual design of number 5849
derived from number 5850
Alltop construction for design number 5863

2352 5-(24,12,15504) (complement has $\lambda=34884$)
Tran van Trung construction with supplementary design for design number 2349
Alltop construction for design number 2351
\cite{Bluskov}
Tran van Trung construction from 5-(23,11,5712)

2706 5-(24,12,15540) (complement has $\lambda=34848$)
\cite{Bluskov}
Alltop construction for design number 2708

5873 5-(24,12,16068) (complement has $\lambda=34320$)
residual design of number 5869
derived from number 5870
Alltop construction for design number 5883

5674 5-(24,12,16302) (complement has $\lambda=34086$)
Tran van Trung construction with supplementary design for design number 5666
Alltop construction for design number 5669
residual design of number 5889
derived from number 5890

10507 5-(24,12,16848) (complement has $\lambda=33540$)
residual design of number 10503
derived from number 10506
Alltop construction for design number 10511

5906 5-(24,12,16926) (complement has $\lambda=33462$)
residual design of number 5902
derived from number 5903
Alltop construction for design number 5916

5926 5-(24,12,17160) (complement has $\lambda=33228$)
residual design of number 5922
derived from number 5923
Alltop construction for design number 5936

2710 5-(24,12,17442) (complement has $\lambda=32946$)
\cite{Bluskov}
Alltop construction for design number 2712
Tran van Trung construction with supplementary design for design number 5609
design of number 5611 with respect to smaller t

7933 5-(24,12,17628) (complement has $\lambda=32760$)
Alltop construction for design number 7931

5679 5-(24,12,17670) (complement has $\lambda=32718$)
design of number 5678 with respect to smaller t
Tran van Trung construction with supplementary design for design number 5680
Alltop construction for design number 5683

2360 5-(24,12,17784) (complement has $\lambda=32604$)
Tran van Trung construction with supplementary design for design number 2356
Alltop construction for design number 2358

5946 5-(24,12,18018) (complement has $\lambda=32370$)
residual design of number 5942
derived from number 5943
Alltop construction for design number 5956

5630 5-(24,12,18126) (complement has $\lambda=32262$)
Tran van Trung construction with supplementary design for design number 5620
design of number 5623 with respect to smaller t
Alltop construction for design number 5627

5966 5-(24,12,18876) (complement has $\lambda=31512$)
residual design of number 5962
derived from number 5963
Alltop construction for design number 5976

2367 5-(24,12,19380) (complement has $\lambda=31008$)
Tran van Trung construction with supplementary design for design number 2364
Alltop construction for design number 2366
\cite{Bluskov}

5986 5-(24,12,19500) (complement has $\lambda=30888$)
residual design of number 5982
derived from number 5983
Alltop construction for design number 5996

6006 5-(24,12,19734) (complement has $\lambda=30654$)
residual design of number 6002
derived from number 6003
Alltop construction for design number 6016

7950 5-(24,12,19968) (complement has $\lambda=30420$)
Alltop construction for design number 7948
residual design of number 10593
derived from number 10594

5689 5-(24,12,20064) (complement has $\lambda=30324$)
design of number 5688 with respect to smaller t
Tran van Trung construction with supplementary design for design number 5690
Alltop construction for design number 5693

6026 5-(24,12,20358) (complement has $\lambda=30030$)
residual design of number 6022
derived from number 6023
Alltop construction for design number 6036

10809 5-(24,12,20520) (complement has $\lambda=29868$)
Alltop construction for design number 10806
Tran van Trung construction with supplementary design for design number 10883

6046 5-(24,12,20592) (complement has $\lambda=29796$)
residual design of number 6042
derived from number 6043
Alltop construction for design number 6054

10935 5-(24,12,20862) (complement has $\lambda=29526$)
Alltop construction for design number 10932
Tran van Trung construction with supplementary design for design number 10984

6062 5-(24,12,21216) (complement has $\lambda=29172$)
residual design of number 6058
derived from number 6059
Alltop construction for design number 6072

2714 5-(24,12,21318) (complement has $\lambda=29070$)
\cite{Bluskov}
Alltop construction for design number 2716

5699 5-(24,12,21432) (complement has $\lambda=28956$)
design of number 5698 with respect to smaller t
Tran van Trung construction with supplementary design for design number 5700
Alltop construction for design number 5703

6082 5-(24,12,21450) (complement has $\lambda=28938$)
residual design of number 6078
derived from number 6079
Alltop construction for design number 6092

11150 5-(24,12,21888) (complement has $\lambda=28500$)
Alltop construction for design number 11147

10623 5-(24,12,21996) (complement has $\lambda=28392$)
residual design of number 10615
derived from number 10616
Alltop construction for design number 10630

6102 5-(24,12,22074) (complement has $\lambda=28314$)
residual design of number 6098
derived from number 6099
Alltop construction for design number 6112

10813 5-(24,12,22230) (complement has $\lambda=28158$)
Alltop construction for design number 10810
Tran van Trung construction with supplementary design for design number 10886

6122 5-(24,12,22308) (complement has $\lambda=28080$)
residual design of number 6118
derived from number 6119
Alltop construction for design number 6132

10497 5-(24,12,22464) (complement has $\lambda=27924$)
Alltop construction for design number 10494

10939 5-(24,12,22572) (complement has $\lambda=27816$)
Alltop construction for design number 10936
Tran van Trung construction with supplementary design for design number 10987

6142 5-(24,12,22932) (complement has $\lambda=27456$)
residual design of number 6138
derived from number 6139
Alltop construction for design number 6152

6162 5-(24,12,23166) (complement has $\lambda=27222$)
residual design of number 6158
derived from number 6159
Alltop construction for design number 6172

2374 5-(24,12,23256) (complement has $\lambda=27132$)
Tran van Trung construction with supplementary design for design number 2371
Alltop construction for design number 2373
\cite{Bluskov}
design of number 11502 with respect to smaller t

10943 5-(24,12,23598) (complement has $\lambda=26790$)
Alltop construction for design number 10940
Tran van Trung construction with supplementary design for design number 10990

2381 5-(24,12,23712) (complement has $\lambda=26676$)
Tran van Trung construction with supplementary design for design number 2378
Alltop construction for design number 2380

6182 5-(24,12,23790) (complement has $\lambda=26598$)
residual design of number 6178
derived from number 6179
Alltop construction for design number 6192

5709 5-(24,12,23826) (complement has $\lambda=26562$)
design of number 5708 with respect to smaller t
Tran van Trung construction with supplementary design for design number 5710
Alltop construction for design number 5713

5719 5-(24,12,23940) (complement has $\lambda=26448$)
design of number 5718 with respect to smaller t
Tran van Trung construction with supplementary design for design number 5720
Alltop construction for design number 5723

6202 5-(24,12,24024) (complement has $\lambda=26364$)
residual design of number 6198
derived from number 6199
Alltop construction for design number 6208

5728 5-(24,12,24054) (complement has $\lambda=26334$)
design of number 5727 with respect to smaller t
Tran van Trung construction with supplementary design for design number 5729
Alltop construction for design number 5732

5650 5-(24,12,24282) (complement has $\lambda=26106$)
Tran van Trung construction with supplementary design for design number 5640
design of number 5643 with respect to smaller t
Alltop construction for design number 5647

11146 5-(24,12,24624) (complement has $\lambda=25764$)
Alltop construction for design number 11143

6216 5-(24,12,24648) (complement has $\lambda=25740$)
residual design of number 6212
derived from number 6213
Alltop construction for design number 6226

6235 5-(24,12,24882) (complement has $\lambda=25506$)
residual design of number 6231
derived from number 6232
Alltop construction for design number 6245

7977 5-(24,12,25038) (complement has $\lambda=25350$)
Alltop construction for design number 7975

5738 5-(24,12,25080) (complement has $\lambda=25308$)
design of number 5737 with respect to smaller t
Tran van Trung construction with supplementary design for design number 5739
Alltop construction for design number 5742

7987 5-(24,12,25116) (complement has $\lambda=25272$)
residual design of number 7981
derived from number 7986
Alltop construction for design number 7994

2388 5-(24,12,25194) (selfcomplementary)
Tran van Trung construction with supplementary design for design number 2385
Alltop construction for design number 2387
design of number 2389 with respect to smaller t
complementary design of number 2389 with respect to smaller t
reduced 6-(24,12,9282) Halving of the complete design

10539 5-(24,13,20826) (complement has $\lambda=54756$)
residual design of number 10531
derived from number 10533

10571 5-(24,13,21060) (complement has $\lambda=54522$)
residual design of number 10563
derived from number 10565

5797 5-(24,13,21528) (complement has $\lambda=54054$)
residual design of number 5790

5817 5-(24,13,21879) (complement has $\lambda=53703$)
residual design of number 5810

5837 5-(24,13,22815) (complement has $\lambda=52767$)
residual design of number 5830

5857 5-(24,13,23166) (complement has $\lambda=52416$)
residual design of number 5850

5877 5-(24,13,24102) (complement has $\lambda=51480$)
residual design of number 5870

5895 5-(24,13,24453) (complement has $\lambda=51129$)
residual design of number 5890

10512 5-(24,13,25272) (complement has $\lambda=50310$)
residual design of number 10506

5910 5-(24,13,25389) (complement has $\lambda=50193$)
residual design of number 5903

5930 5-(24,13,25740) (complement has $\lambda=49842$)
residual design of number 5923

5950 5-(24,13,27027) (complement has $\lambda=48555$)
residual design of number 5943

5970 5-(24,13,28314) (complement has $\lambda=47268$)
residual design of number 5963

5990 5-(24,13,29250) (complement has $\lambda=46332$)
residual design of number 5983

6010 5-(24,13,29601) (complement has $\lambda=45981$)
residual design of number 6003

10597 5-(24,13,29952) (complement has $\lambda=45630$)
residual design of number 10594
derived from number 10596

6030 5-(24,13,30537) (complement has $\lambda=45045$)
residual design of number 6023

6050 5-(24,13,30888) (complement has $\lambda=44694$)
residual design of number 6043

6066 5-(24,13,31824) (complement has $\lambda=43758$)
residual design of number 6059

6086 5-(24,13,32175) (complement has $\lambda=43407$)
residual design of number 6079

10624 5-(24,13,32994) (complement has $\lambda=42588$)
residual design of number 10616
derived from number 10618

6106 5-(24,13,33111) (complement has $\lambda=42471$)
residual design of number 6099

6126 5-(24,13,33462) (complement has $\lambda=42120$)
residual design of number 6119
derived from number 10641

6146 5-(24,13,34398) (complement has $\lambda=41184$)
residual design of number 6139

6166 5-(24,13,34749) (complement has $\lambda=40833$)
residual design of number 6159

6186 5-(24,13,35685) (complement has $\lambda=39897$)
residual design of number 6179

6206 5-(24,13,36036) (complement has $\lambda=39546$)
residual design of number 6199

6220 5-(24,13,36972) (complement has $\lambda=38610$)
residual design of number 6213

6239 5-(24,13,37323) (complement has $\lambda=38259$)
residual design of number 6232

7995 5-(24,13,37674) (complement has $\lambda=37908$)
residual design of number 7986

10541 5-(24,14,25454) (complement has $\lambda=66924$)
residual design of number 10533

10573 5-(24,14,25740) (complement has $\lambda=66638$)
residual design of number 10565

10599 5-(24,14,36608) (complement has $\lambda=55770$)
residual design of number 10596

10626 5-(24,14,40326) (complement has $\lambda=52052$)
residual design of number 10618

10642 5-(24,14,40898) (complement has $\lambda=51480$)
residual design of number 10641

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

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

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

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

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

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

7881 6-(24,9,240) (complement has $\lambda=576$)
design of number 7880 with respect to smaller t
residual design of number 7894

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

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

5787 6-(24,9,408) (selfcomplementary)
TvT: 6-(23,8,68) $\cup$ 6-(23,9,340) Halving of the complete design

7830 6-(24,10,1080) (complement has $\lambda=1980$)
design of number 7829 with respect to smaller t
residual design of number 7888

7838 6-(24,10,1440) (complement has $\lambda=1620$)
design of number 7837 with respect to smaller t
residual design of number 7891

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

5663 6-(24,11,2772) (complement has $\lambda=5796$)
PSL(2,23) (>=1 isom. types)

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

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

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

5678 6-(24,12,6510) (complement has $\lambda=12054$)
PSL(2,23) (>=2 isom. types)

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

5688 6-(24,12,7392) (complement has $\lambda=11172$)
PSL(2,23) (>=2 isom. types)

5698 6-(24,12,7896) (complement has $\lambda=10668$)
PSL(2,23) (>=2 isom. types)

11502 6-(24,12,8568) (complement has $\lambda=9996$)
Tran van Trung construction with supplementary design for design number 11500
design of number 11503 with respect to smaller t

5708 6-(24,12,8778) (complement has $\lambda=9786$)
PGL(2,23) (>=2 isom. types)

5718 6-(24,12,8820) (complement has $\lambda=9744$)
PSL(2,23) (>=2 isom. types)

5727 6-(24,12,8862) (complement has $\lambda=9702$)
PGL(2,23) (>=2 isom. types)

5643 6-(24,12,8946) (complement has $\lambda=9618$)
Tran van Trung construction with supplementary design for design number 5638
design of number 5644 with respect to smaller t

5737 6-(24,12,9240) (complement has $\lambda=9324$)
PGL(2,23) (>=2 isom. types)

2389 6-(24,12,9282) (selfcomplementary)
Alltop construction for design number 2385
PSL(2,23) (many isom. types) Halving of the complete design

7847 7-(24,8,4) (complement has $\lambda=13$)
PSL(2,23) (1 isom. type) \cite{Bettenetal98b}

7854 7-(24,8,5) (complement has $\lambda=12$)
PSL(2,23) (138 isom. types) \cite{Bettenetal98b}

7859 7-(24,8,6) (complement has $\lambda=11$)
PSL(2,23) (>= 132 isom. types) \cite{Bettenetal98b}

7866 7-(24,8,7) (complement has $\lambda=10$)
PSL(2,23) (>= 126 isom. types) \cite{Bettenetal98b}

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}

7880 7-(24,9,40) (complement has $\lambda=96$)
PGL(2,23) (113 isom. types) \cite{Bettenetal98b}

7884 7-(24,9,48) (complement has $\lambda=88$)
PGL(2,23) (>= 2827 isom. types) \cite{Bettenetal98b}

7886 7-(24,9,64) (complement has $\lambda=72$)
PGL(2,23) (>= 15335 isom. types) \cite{Bettenetal98b}

7829 7-(24,10,240) (complement has $\lambda=440$)
PGL(2,23) (>= 76 isom. types) \cite{Bettenetal97b}

7837 7-(24,10,320) (complement has $\lambda=360$)
PGL(2,23) (>= 2 isom. types) \cite{Bettenetal97b}

7846 7-(24,10,340) (selfcomplementary)
PSL(2,23) (>= 1 isom. types) halving \cite{Laue98}

11497 7-(24,12,1190) (complement has $\lambda=4998$)
Alltop construction for design number 11494

5593 7-(24,12,1722) (complement has $\lambda=4466$)
Alltop construction for design number 5587

5612 7-(24,12,2142) (complement has $\lambda=4046$)
Alltop construction for design number 5607

5624 7-(24,12,2226) (complement has $\lambda=3962$)
Alltop construction for design number 5618

11503 7-(24,12,2856) (complement has $\lambda=3332$)
Alltop construction for design number 11500

5644 7-(24,12,2982) (complement has $\lambda=3206$)
Alltop construction for design number 5638


on 25 points:


3847 5-(25,7,10) (complement has $\lambda=180$)
TvT: 5-(24,6,1) $\cup$ 5-(24,7,9)

3849 5-(25,7,20) (complement has $\lambda=170$)
TvT: 5-(24,6,2) $\cup$ 5-(24,7,18)

3850 5-(25,7,30) (complement has $\lambda=160$)
TvT: 5-(24,6,3) $\cup$ 5-(24,7,27)

3851 5-(25,7,40) (complement has $\lambda=150$)
TvT: 5-(24,6,4) $\cup$ 5-(24,7,36)

3853 5-(25,7,50) (complement has $\lambda=140$)
TvT: 5-(24,6,5) $\cup$ 5-(24,7,45)

6296 5-(25,7,60) (complement has $\lambda=130$)
derived from number 6295
design of number 8000 with respect to smaller t

6299 5-(25,7,70) (complement has $\lambda=120$)
derived from number 6297

3855 5-(25,7,80) (complement has $\lambda=110$)
TvT: 5-(24,6,8) $\cup$ 5-(24,7,72)

3857 5-(25,7,90) (complement has $\lambda=100$)
TvT: 5-(24,6,9) $\cup$ 5-(24,7,81)

3861 5-(25,8,20) (complement has $\lambda=1120$)
TvT: 5-(24,7,3) $\cup$ 5-(24,8,17)

3863 5-(25,8,40) (complement has $\lambda=1100$)
TvT: 5-(24,7,6) $\cup$ 5-(24,8,34)

3865 5-(25,8,60) (complement has $\lambda=1080$)
TvT: 5-(24,7,9) $\cup$ 5-(24,8,51)

3859 5-(25,8,160) (complement has $\lambda=980$)
TvT: 5-(24,7,24) $\cup$ 5-(24,8,136)

6302 5-(25,8,180) (complement has $\lambda=960$)
derived from number 6301

6252 5-(25,8,240) (complement has $\lambda=900$)
design of number 6251 with respect to smaller t
derived from number 6306

6257 5-(25,8,300) (complement has $\lambda=840$)
design of number 6256 with respect to smaller t

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

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

6271 5-(25,8,480) (complement has $\lambda=660$)
design of number 6270 with respect to smaller t

276 5-(25,8,540) (complement has $\lambda=600$)
derived from number 274
design of number 6273 with respect to smaller t

3875 5-(25,9,15) (complement has $\lambda=4830$)
TvT: 5-(24,8,3) $\cup$ 5-(24,9,12)

3895 5-(25,9,45) (complement has $\lambda=4800$)
TvT: 5-(24,8,9) $\cup$ 5-(24,9,36)

3897 5-(25,9,90) (complement has $\lambda=4755$)
TvT: 5-(24,8,18) $\cup$ 5-(24,9,72)

3867 5-(25,9,105) (complement has $\lambda=4740$)
TvT: 5-(24,8,21) $\cup$ 5-(24,9,84)

3869 5-(25,9,120) (complement has $\lambda=4725$)
TvT: 5-(24,8,24) $\cup$ 5-(24,9,96)

3871 5-(25,9,135) (complement has $\lambda=4710$)
TvT: 5-(24,8,27) $\cup$ 5-(24,9,108)

3877 5-(25,9,150) (complement has $\lambda=4695$)
TvT: 5-(24,8,30) $\cup$ 5-(24,9,120)

3879 5-(25,9,180) (complement has $\lambda=4665$)
TvT: 5-(24,8,36) $\cup$ 5-(24,9,144)

3881 5-(25,9,195) (complement has $\lambda=4650$)
TvT: 5-(24,8,39) $\cup$ 5-(24,9,156)

3891 5-(25,9,225) (complement has $\lambda=4620$)
TvT: 5-(24,8,45) $\cup$ 5-(24,9,180)

829 5-(25,9,300) (complement has $\lambda=4545$)
TvT: 5-(24,8,60) $\cup$ 5-(24,9,240)

3893 5-(25,9,315) (complement has $\lambda=4530$)
TvT: 5-(24,8,63) $\cup$ 5-(24,9,252)

8019 5-(25,9,540) (complement has $\lambda=4305$)
derived from number 8017

8032 5-(25,9,675) (complement has $\lambda=4170$)
derived from number 8027

6303 5-(25,9,765) (complement has $\lambda=4080$)
residual design of number 6301
derived from number 8047

8063 5-(25,9,810) (complement has $\lambda=4035$)
derived from number 8059

8080 5-(25,9,840) (complement has $\lambda=4005$)
derived from number 8075

8099 5-(25,9,900) (complement has $\lambda=3945$)
derived from number 8094

8119 5-(25,9,930) (complement has $\lambda=3915$)
derived from number 8114

8138 5-(25,9,945) (complement has $\lambda=3900$)
derived from number 8133

6307 5-(25,9,1020) (complement has $\lambda=3825$)
residual design of number 6306
derived from number 8011

8158 5-(25,9,1035) (complement has $\lambda=3810$)
derived from number 8153

8174 5-(25,9,1080) (complement has $\lambda=3765$)
derived from number 8172

8188 5-(25,9,1110) (complement has $\lambda=3735$)
derived from number 8183

8208 5-(25,9,1170) (complement has $\lambda=3675$)
derived from number 8203

8226 5-(25,9,1200) (complement has $\lambda=3645$)
derived from number 8222

8239 5-(25,9,1215) (complement has $\lambda=3630$)
derived from number 8237

8249 5-(25,9,1305) (complement has $\lambda=3540$)
derived from number 8247

8263 5-(25,9,1335) (complement has $\lambda=3510$)
derived from number 8258

8278 5-(25,9,1350) (complement has $\lambda=3495$)
derived from number 8276

8291 5-(25,9,1380) (complement has $\lambda=3465$)
derived from number 8286

6276 5-(25,9,1425) (complement has $\lambda=3420$)
design of number 6275 with respect to smaller t

3873 5-(25,9,1440) (complement has $\lambda=3405$)
TvT: 5-(24,8,288) $\cup$ 5-(24,9,1152)
derived from number 8299

8307 5-(25,9,1470) (complement has $\lambda=3375$)
derived from number 8306

8312 5-(25,9,1485) (complement has $\lambda=3360$)
derived from number 8310

8324 5-(25,9,1515) (complement has $\lambda=3330$)
derived from number 8319

6311 5-(25,9,1530) (complement has $\lambda=3315$)
residual design of number 6309
design of number 8002 with respect to smaller t

8340 5-(25,9,1575) (complement has $\lambda=3270$)
derived from number 8338

8349 5-(25,9,1605) (complement has $\lambda=3240$)
derived from number 8347

6279 5-(25,9,1620) (complement has $\lambda=3225$)
design of number 6278 with respect to smaller t
derived from number 8356

8369 5-(25,9,1650) (complement has $\lambda=3195$)
derived from number 8364

7897 5-(25,9,1710) (complement has $\lambda=3135$)
design of number 7896 with respect to smaller t
derived from number 7902

8381 5-(25,9,1740) (complement has $\lambda=3105$)
derived from number 8379

8395 5-(25,9,1755) (complement has $\lambda=3090$)
derived from number 8390

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

8417 5-(25,9,1845) (complement has $\lambda=3000$)
derived from number 8415

8430 5-(25,9,1875) (complement has $\lambda=2970$)
derived from number 8425

8444 5-(25,9,1890) (complement has $\lambda=2955$)
derived from number 8439

8459 5-(25,9,1920) (complement has $\lambda=2925$)
derived from number 8458

8464 5-(25,9,1980) (complement has $\lambda=2865$)
derived from number 8462

3883 5-(25,9,1995) (complement has $\lambda=2850$)
TvT: 5-(24,8,399) $\cup$ 5-(24,9,1596)

8476 5-(25,9,2010) (complement has $\lambda=2835$)
derived from number 8471

8490 5-(25,9,2025) (complement has $\lambda=2820$)
derived from number 8488

3886 5-(25,9,2040) (complement has $\lambda=2805$)
TvT: 5-(24,8,408) $\cup$ 5-(24,9,1632)

8499 5-(25,9,2055) (complement has $\lambda=2790$)
derived from number 8497

8513 5-(25,9,2115) (complement has $\lambda=2730$)
derived from number 8508

8527 5-(25,9,2145) (complement has $\lambda=2700$)
derived from number 8526

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

8539 5-(25,9,2190) (complement has $\lambda=2655$)
derived from number 8537

8552 5-(25,9,2250) (complement has $\lambda=2595$)
derived from number 8547

7900 5-(25,9,2280) (complement has $\lambda=2565$)
design of number 7899 with respect to smaller t
derived from number 7904

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

8572 5-(25,9,2325) (complement has $\lambda=2520$)
derived from number 8570

8581 5-(25,9,2385) (complement has $\lambda=2460$)
derived from number 8579

8588 5-(25,9,2415) (complement has $\lambda=2430$)
derived from number 8586

3758 5-(25,10,48) (complement has $\lambda=15456$)
$PSL(2,23)+$ TvT construction 5-(24,9,12) $\cup$ 5-(24,10,36)

3726 5-(25,10,144) (complement has $\lambda=15360$)
TvT: 5-(24,9,36) $\cup$ 5-(24,10,108)

3728 5-(25,10,168) (complement has $\lambda=15336$)
TvT: 5-(24,9,42) $\cup$ 5-(24,10,126)

3730 5-(25,10,192) (complement has $\lambda=15312$)
TvT: 5-(24,9,48) $\cup$ 5-(24,10,144)

3732 5-(25,10,216) (complement has $\lambda=15288$)
$PSL(2,23)+$ TvT construction 5-(24,9,54) $\cup$ 5-(24,10,162)

3734 5-(25,10,240) (complement has $\lambda=15264$)
$PSL(2,23)+$ TvT construction 5-(24,9,60) $\cup$ 5-(24,10,180)

3736 5-(25,10,264) (complement has $\lambda=15240$)
$PSL(2,23)+$ TvT construction 5-(24,9,66) $\cup$ 5-(24,10,198)

3738 5-(25,10,288) (complement has $\lambda=15216$)
$PSL(2,23)+$ TvT construction 5-(24,9,72) $\cup$ 5-(24,10,216)

3740 5-(25,10,312) (complement has $\lambda=15192$)
$PSL(2,23)+$ TvT construction 5-(24,9,78) $\cup$ 5-(24,10,234)

3742 5-(25,10,336) (complement has $\lambda=15168$)
$PSL(2,23)+$ TvT construction 5-(24,9,84) $\cup$ 5-(24,10,252)

3744 5-(25,10,360) (complement has $\lambda=15144$)
$PSL(2,23)+$ TvT construction 5-(24,9,90) $\cup$ 5-(24,10,270)

3746 5-(25,10,384) (complement has $\lambda=15120$)
$PSL(2,23)+$ TvT construction 5-(24,9,96) $\cup$ 5-(24,10,288)

3748 5-(25,10,408) (complement has $\lambda=15096$)
TvT: 5-(24,9,102) $\cup$ 5-(24,10,306)

3750 5-(25,10,418) (complement has $\lambda=15086$)
$PSL(2,23)+$ TvT construction 5-(24,9,102) $\cup$ 5-(24,10,306)

3754 5-(25,10,432) (complement has $\lambda=15072$)
$PSL(2,23)+$ TvT construction 5-(24,9,108) $\cup$ 5-(24,10,324)

3756 5-(25,10,456) (complement has $\lambda=15048$)
$PSL(2,23)+$ TvT construction 5-(24,9,114) $\cup$ 5-(24,10,342)

3760 5-(25,10,480) (complement has $\lambda=15024$)
TvT: 5-(24,9,120) $\cup$ 5-(24,10,360)

3762 5-(25,10,504) (complement has $\lambda=15000$)
TvT: 5-(24,9,126) $\cup$ 5-(24,10,378)

3764 5-(25,10,528) (complement has $\lambda=14976$)
TvT: 5-(24,9,132) $\cup$ 5-(24,10,396)

3766 5-(25,10,552) (complement has $\lambda=14952$)
TvT: 5-(24,9,138) $\cup$ 5-(24,10,414)

3768 5-(25,10,576) (complement has $\lambda=14928$)
TvT: 5-(24,9,144) $\cup$ 5-(24,10,432)

3770 5-(25,10,600) (complement has $\lambda=14904$)
TvT: 5-(24,9,150) $\cup$ 5-(24,10,450)

3772 5-(25,10,624) (complement has $\lambda=14880$)
TvT: 5-(24,9,156) $\cup$ 5-(24,10,468)

3774 5-(25,10,720) (complement has $\lambda=14784$)
TvT: 5-(24,9,180) $\cup$ 5-(24,10,540)

3789 5-(25,10,840) (complement has $\lambda=14664$)
TvT: 5-(24,9,210) $\cup$ 5-(24,10,630)

833 5-(25,10,960) (complement has $\lambda=14544$)
TvT: 5-(24,9,240) $\cup$ 5-(24,10,720)

3718 5-(25,10,1008) (complement has $\lambda=14496$)
TvT: 5-(24,9,252) $\cup$ 5-(24,10,756)

840 5-(25,10,1032) (complement has $\lambda=14472$)
TvT: 5-(24,9,258) $\cup$ 5-(24,10,774)

3720 5-(25,10,1056) (complement has $\lambda=14448$)
TvT: 5-(24,9,264) $\cup$ 5-(24,10,792)

3722 5-(25,10,1128) (complement has $\lambda=14376$)
TvT: 5-(24,9,282) $\cup$ 5-(24,10,846)

3724 5-(25,10,1224) (complement has $\lambda=14280$)
TvT: 5-(24,9,306) $\cup$ 5-(24,10,918)

844 5-(25,10,1248) (complement has $\lambda=14256$)
TvT: 5-(24,9,312) $\cup$ 5-(24,10,936)

10893 5-(25,10,1368) (complement has $\lambda=14136$)
TvT: 5-(24,9,342) $\cup$ 5-(24,10,1026)

8020 5-(25,10,1728) (complement has $\lambda=13776$)
residual design of number 8017
derived from number 8018

11034 5-(25,10,1824) (complement has $\lambda=13680$)
TvT: 5-(24,9,456) $\cup$ 5-(24,10,1368)

8597 5-(25,10,1896) (complement has $\lambda=13608$)
derived from number 8592

8618 5-(25,10,1944) (complement has $\lambda=13560$)
derived from number 8616

8033 5-(25,10,2160) (complement has $\lambda=13344$)
residual design of number 8027
derived from number 8028

8051 5-(25,10,2448) (complement has $\lambda=13056$)
residual design of number 8047
derived from number 8048

8630 5-(25,10,2544) (complement has $\lambda=12960$)
derived from number 8628

8064 5-(25,10,2592) (complement has $\lambda=12912$)
residual design of number 8059
derived from number 8060

8081 5-(25,10,2688) (complement has $\lambda=12816$)
residual design of number 8075
derived from number 8076

836 5-(25,10,2784) (complement has $\lambda=12720$)
TvT: 5-(24,9,696) $\cup$ 5-(24,10,2088)

8100 5-(25,10,2880) (complement has $\lambda=12624$)
residual design of number 8094
derived from number 8095

8120 5-(25,10,2976) (complement has $\lambda=12528$)
residual design of number 8114
derived from number 8115

8139 5-(25,10,3024) (complement has $\lambda=12480$)
residual design of number 8133
derived from number 8134

8648 5-(25,10,3192) (complement has $\lambda=12312$)
derived from number 8646

8013 5-(25,10,3264) (complement has $\lambda=12240$)
residual design of number 8011

8159 5-(25,10,3312) (complement has $\lambda=12192$)
residual design of number 8153
derived from number 8154

8175 5-(25,10,3456) (complement has $\lambda=12048$)
residual design of number 8172
derived from number 8173

8189 5-(25,10,3552) (complement has $\lambda=11952$)
residual design of number 8183
derived from number 8184

8209 5-(25,10,3744) (complement has $\lambda=11760$)
residual design of number 8203
derived from number 8204

8227 5-(25,10,3840) (complement has $\lambda=11664$)
residual design of number 8222
derived from number 8223

8240 5-(25,10,3888) (complement has $\lambda=11616$)
residual design of number 8237
derived from number 8238

8250 5-(25,10,4176) (complement has $\lambda=11328$)
residual design of number 8247
derived from number 8248

8264 5-(25,10,4272) (complement has $\lambda=11232$)
residual design of number 8258
derived from number 8259

8279 5-(25,10,4320) (complement has $\lambda=11184$)
residual design of number 8276
derived from number 8277

8292 5-(25,10,4416) (complement has $\lambda=11088$)
residual design of number 8286
derived from number 8287

8672 5-(25,10,4536) (complement has $\lambda=10968$)
derived from number 8670

8301 5-(25,10,4608) (complement has $\lambda=10896$)
residual design of number 8299
derived from number 8300

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

8313 5-(25,10,4752) (complement has $\lambda=10752$)
residual design of number 8310
derived from number 8311

8325 5-(25,10,4848) (complement has $\lambda=10656$)
residual design of number 8319
derived from number 8320

8341 5-(25,10,5040) (complement has $\lambda=10464$)
residual design of number 8338
derived from number 8339

8350 5-(25,10,5136) (complement has $\lambda=10368$)
residual design of number 8347
derived from number 8348

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

8370 5-(25,10,5280) (complement has $\lambda=10224$)
residual design of number 8364
derived from number 8365

7923 5-(25,10,5424) (complement has $\lambda=10080$)
derived from number 7919
design of number 7920 with respect to smaller t

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

8382 5-(25,10,5568) (complement has $\lambda=9936$)
residual design of number 8379
derived from number 8380

8396 5-(25,10,5616) (complement has $\lambda=9888$)
residual design of number 8390
derived from number 8391

8410 5-(25,10,5712) (complement has $\lambda=9792$)
residual design of number 8408
derived from number 8409

8700 5-(25,10,5832) (complement has $\lambda=9672$)
derived from number 8695

8418 5-(25,10,5904) (complement has $\lambda=9600$)
residual design of number 8415
derived from number 8416

8431 5-(25,10,6000) (complement has $\lambda=9504$)
residual design of number 8425
derived from number 8426

8445 5-(25,10,6048) (complement has $\lambda=9456$)
residual design of number 8439
derived from number 8440

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

8465 5-(25,10,6336) (complement has $\lambda=9168$)
residual design of number 8462
derived from number 8463

8477 5-(25,10,6432) (complement has $\lambda=9072$)
residual design of number 8471
derived from number 8472

8491 5-(25,10,6480) (complement has $\lambda=9024$)
residual design of number 8488
derived from number 8489

8500 5-(25,10,6576) (complement has $\lambda=8928$)
residual design of number 8497
derived from number 8498

8514 5-(25,10,6768) (complement has $\lambda=8736$)
residual design of number 8508
derived from number 8509

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

8532 5-(25,10,6912) (complement has $\lambda=8592$)
residual design of number 8530
derived from number 8531
design of number 10489 with respect to smaller t

8540 5-(25,10,7008) (complement has $\lambda=8496$)
residual design of number 8537
derived from number 8538

8742 5-(25,10,7080) (complement has $\lambda=8424$)
derived from number 8737

8766 5-(25,10,7128) (complement has $\lambda=8376$)
derived from number 8761

8553 5-(25,10,7200) (complement has $\lambda=8304$)
residual design of number 8547
derived from number 8548

7893 5-(25,10,7296) (complement has $\lambda=8208$)
design of number 7892 with respect to smaller t
residual design of number 7904
derived from number 8564

278 5-(25,10,7344) (complement has $\lambda=8160$)
residual design of number 275
derived from number 8566

3776 5-(25,10,7368) (complement has $\lambda=8136$)
TvT: 5-(24,9,1842) $\cup$ 5-(24,10,5526)

3778 5-(25,10,7392) (complement has $\lambda=8112$)
TvT: 5-(24,9,1848) $\cup$ 5-(24,10,5544)

8573 5-(25,10,7440) (complement has $\lambda=8064$)
residual design of number 8570
derived from number 8571

7961 5-(25,10,7584) (complement has $\lambda=7920$)
derived from number 7958
design of number 7959 with respect to smaller t

3780 5-(25,10,7632) (complement has $\lambda=7872$)
TvT: 5-(24,9,1908) $\cup$ 5-(24,10,5724)
residual design of number 8579
derived from number 8580

3782 5-(25,10,7680) (complement has $\lambda=7824$)
TvT: 5-(24,9,1920) $\cup$ 5-(24,10,5760)

7968 5-(25,10,7704) (complement has $\lambda=7800$)
derived from number 7964
design of number 7965 with respect to smaller t

3784 5-(25,10,7728) (complement has $\lambda=7776$)
TvT: 5-(24,9,1932) $\cup$ 5-(24,10,5796)
residual design of number 8586
derived from number 8587
design of number 10517 with respect to smaller t

3787 5-(25,10,7752) (selfcomplementary)
$PSL(2,23)+$ TvT construction 5-(24,9,1938) $\cup$ 5-(24,10,5814) Halving of the complete design
design of number 5788 with respect to smaller t
complementary design of number 5788 with respect to smaller t

3802 5-(25,11,480) (complement has $\lambda=38280$)
TvT: 5-(24,10,144) $\cup$ 5-(24,11,336)

11035 5-(25,11,3420) (complement has $\lambda=35340$)
TvT: 5-(24,10,1026) $\cup$ 5-(24,11,2394)

8021 5-(25,11,4320) (complement has $\lambda=34440$)
residual design of number 8018

11050 5-(25,11,4560) (complement has $\lambda=34200$)
TvT: 5-(24,10,1368) $\cup$ 5-(24,11,3192)

8598 5-(25,11,4740) (complement has $\lambda=34020$)
residual design of number 8592
derived from number 8593

8619 5-(25,11,4860) (complement has $\lambda=33900$)
residual design of number 8616
derived from number 8617

8034 5-(25,11,5400) (complement has $\lambda=33360$)
residual design of number 8028

8052 5-(25,11,6120) (complement has $\lambda=32640$)
residual design of number 8048

8631 5-(25,11,6360) (complement has $\lambda=32400$)
residual design of number 8628
derived from number 8629

8065 5-(25,11,6480) (complement has $\lambda=32280$)
residual design of number 8060
derived from number 8640

8082 5-(25,11,6720) (complement has $\lambda=32040$)
residual design of number 8076

8101 5-(25,11,7200) (complement has $\lambda=31560$)
residual design of number 8095

8121 5-(25,11,7440) (complement has $\lambda=31320$)
residual design of number 8115

8140 5-(25,11,7560) (complement has $\lambda=31200$)
residual design of number 8134

8649 5-(25,11,7980) (complement has $\lambda=30780$)
residual design of number 8646
derived from number 8647

8160 5-(25,11,8280) (complement has $\lambda=30480$)
residual design of number 8154

8176 5-(25,11,8640) (complement has $\lambda=30120$)
residual design of number 8173

8190 5-(25,11,8880) (complement has $\lambda=29880$)
residual design of number 8184

8210 5-(25,11,9360) (complement has $\lambda=29400$)
residual design of number 8204

8228 5-(25,11,9600) (complement has $\lambda=29160$)
residual design of number 8223
derived from number 8658

8241 5-(25,11,9720) (complement has $\lambda=29040$)
residual design of number 8238
derived from number 8664

8781 5-(25,11,10140) (complement has $\lambda=28620$)
derived from number 8778

8251 5-(25,11,10440) (complement has $\lambda=28320$)
residual design of number 8248

8265 5-(25,11,10680) (complement has $\lambda=28080$)
residual design of number 8259
derived from number 10527
design of number 10529 with respect to smaller t

8280 5-(25,11,10800) (complement has $\lambda=27960$)
residual design of number 8277
derived from number 10559
design of number 10561 with respect to smaller t

8293 5-(25,11,11040) (complement has $\lambda=27720$)
residual design of number 8287

8673 5-(25,11,11340) (complement has $\lambda=27420$)
residual design of number 8670
derived from number 8671

8302 5-(25,11,11520) (complement has $\lambda=27240$)
residual design of number 8300

7910 5-(25,11,11760) (complement has $\lambda=27000$)
residual design of number 7906
design of number 7908 with respect to smaller t

8314 5-(25,11,11880) (complement has $\lambda=26880$)
residual design of number 8311

8326 5-(25,11,12120) (complement has $\lambda=26640$)
residual design of number 8320

8342 5-(25,11,12600) (complement has $\lambda=26160$)
residual design of number 8339

8351 5-(25,11,12840) (complement has $\lambda=25920$)
residual design of number 8348
derived from number 8682

8359 5-(25,11,12960) (complement has $\lambda=25800$)
residual design of number 8357
derived from number 8688
design of number 10502 with respect to smaller t

8371 5-(25,11,13200) (complement has $\lambda=25560$)
residual design of number 8365

7924 5-(25,11,13560) (complement has $\lambda=25200$)
residual design of number 7919
design of number 7921 with respect to smaller t

3791 5-(25,11,13680) (complement has $\lambda=25080$)
TvT: 5-(24,10,4104) $\cup$ 5-(24,11,9576)
residual design of number 8377

8383 5-(25,11,13920) (complement has $\lambda=24840$)
residual design of number 8380

8397 5-(25,11,14040) (complement has $\lambda=24720$)
residual design of number 8391

8411 5-(25,11,14280) (complement has $\lambda=24480$)
residual design of number 8409

8701 5-(25,11,14580) (complement has $\lambda=24180$)
residual design of number 8695
derived from number 8696

8419 5-(25,11,14760) (complement has $\lambda=24000$)
residual design of number 8416

8794 5-(25,11,14820) (complement has $\lambda=23940$)
derived from number 8791

8432 5-(25,11,15000) (complement has $\lambda=23760$)
residual design of number 8426

8446 5-(25,11,15120) (complement has $\lambda=23640$)
residual design of number 8440

7939 5-(25,11,15360) (complement has $\lambda=23400$)
residual design of number 7935
design of number 7937 with respect to smaller t
derived from number 10591

8466 5-(25,11,15840) (complement has $\lambda=22920$)
residual design of number 8463

8478 5-(25,11,16080) (complement has $\lambda=22680$)
residual design of number 8472
derived from number 8720

8492 5-(25,11,16200) (complement has $\lambda=22560$)
residual design of number 8489
derived from number 8730

8501 5-(25,11,16440) (complement has $\lambda=22320$)
residual design of number 8498

8515 5-(25,11,16920) (complement has $\lambda=21840$)
residual design of number 8509
derived from number 10612
design of number 10614 with respect to smaller t

6286 5-(25,11,17160) (complement has $\lambda=21600$)
derived from number 6284
residual design of number 7952
design of number 7954 with respect to smaller t

8533 5-(25,11,17280) (complement has $\lambda=21480$)
residual design of number 8531
design of number 10490 with respect to smaller t

8541 5-(25,11,17520) (complement has $\lambda=21240$)
residual design of number 8538

8743 5-(25,11,17700) (complement has $\lambda=21060$)
residual design of number 8737
derived from number 8738

8767 5-(25,11,17820) (complement has $\lambda=20940$)
residual design of number 8761
derived from number 8762

8554 5-(25,11,18000) (complement has $\lambda=20760$)
residual design of number 8548

3794 5-(25,11,18240) (complement has $\lambda=20520$)
TvT: 5-(24,10,5472) $\cup$ 5-(24,11,12768)
residual design of number 8564

8567 5-(25,11,18360) (complement has $\lambda=20400$)
residual design of number 8566

3797 5-(25,11,18480) (complement has $\lambda=20280$)
TvT: 5-(24,10,5544) $\cup$ 5-(24,11,12936)

8574 5-(25,11,18600) (complement has $\lambda=20160$)
residual design of number 8571

6292 5-(25,11,18960) (complement has $\lambda=19800$)
derived from number 6290
residual design of number 7958
design of number 7960 with respect to smaller t

8582 5-(25,11,19080) (complement has $\lambda=19680$)
residual design of number 8580

7969 5-(25,11,19260) (complement has $\lambda=19500$)
residual design of number 7964
design of number 7966 with respect to smaller t

7982 5-(25,11,19320) (complement has $\lambda=19440$)
derived from number 7979
design of number 7980 with respect to smaller t
residual design of number 8587

3800 5-(25,11,19380) (selfcomplementary)
TvT: 5-(24,10,5814) $\cup$ 5-(24,11,13566)

3840 5-(25,12,960) (complement has $\lambda=76560$)
TvT: 5-(24,11,336) $\cup$ 5-(24,12,624)

3833 5-(25,12,6600) (complement has $\lambda=70920$)
TvT: 5-(24,11,2310) $\cup$ 5-(24,12,4290)

11090 5-(25,12,6840) (complement has $\lambda=70680$)
TvT: 5-(24,11,2394) $\cup$ 5-(24,12,4446)

11072 5-(25,12,9120) (complement has $\lambda=68400$)
TvT: 5-(24,11,3192) $\cup$ 5-(24,12,5928)

8599 5-(25,12,9480) (complement has $\lambda=68040$)
residual design of number 8593

8620 5-(25,12,9720) (complement has $\lambda=67800$)
residual design of number 8617

848 5-(25,12,11520) (complement has $\lambda=66000$)
TvT: 5-(24,11,4032) $\cup$ 5-(24,12,7488)

8632 5-(25,12,12720) (complement has $\lambda=64800$)
residual design of number 8629

8641 5-(25,12,12960) (complement has $\lambda=64560$)
residual design of number 8640

3804 5-(25,12,13200) (complement has $\lambda=64320$)
TvT: 5-(24,11,4620) $\cup$ 5-(24,12,8580)

859 5-(25,12,14160) (complement has $\lambda=63360$)
TvT: 5-(24,11,4956) $\cup$ 5-(24,12,9204)

8650 5-(25,12,15960) (complement has $\lambda=61560$)
residual design of number 8647

8659 5-(25,12,19200) (complement has $\lambda=58320$)
residual design of number 8658

8665 5-(25,12,19440) (complement has $\lambda=58080$)
residual design of number 8664

8782 5-(25,12,20280) (complement has $\lambda=57240$)
residual design of number 8778
derived from number 8779

10534 5-(25,12,21360) (complement has $\lambda=56160$)
residual design of number 10527
derived from number 10528
design of number 10530 with respect to smaller t

10566 5-(25,12,21600) (complement has $\lambda=55920$)
residual design of number 10559
derived from number 10560
design of number 10562 with respect to smaller t

5791 5-(25,12,22080) (complement has $\lambda=55440$)
design of number 5789 with respect to smaller t
derived from number 5794

5811 5-(25,12,22440) (complement has $\lambda=55080$)
design of number 5809 with respect to smaller t
derived from number 5814

8674 5-(25,12,22680) (complement has $\lambda=54840$)
residual design of number 8671

5831 5-(25,12,23400) (complement has $\lambda=54120$)
design of number 5829 with respect to smaller t
derived from number 5834

761 5-(25,12,23520) (complement has $\lambda=54000$)
TvT: 5-(24,11,8232) $\cup$ 5-(24,12,15288)

5851 5-(25,12,23760) (complement has $\lambda=53760$)
design of number 5849 with respect to smaller t
derived from number 5854

5871 5-(25,12,24720) (complement has $\lambda=52800$)
design of number 5869 with respect to smaller t
derived from number 5874

5891 5-(25,12,25080) (complement has $\lambda=52440$)
design of number 5889 with respect to smaller t
derived from number 5892

8683 5-(25,12,25680) (complement has $\lambda=51840$)
residual design of number 8682

8689 5-(25,12,25920) (complement has $\lambda=51600$)
residual design of number 8688
design of number 10503 with respect to smaller t
derived from number 10508

5904 5-(25,12,26040) (complement has $\lambda=51480$)
design of number 5902 with respect to smaller t
derived from number 5907

5924 5-(25,12,26400) (complement has $\lambda=51120$)
design of number 5922 with respect to smaller t
derived from number 5927

703 5-(25,12,27120) (complement has $\lambda=50400$)
TvT: 5-(24,11,9492) $\cup$ 5-(24,12,17628)

3811 5-(25,12,27360) (complement has $\lambda=50160$)
TvT: 5-(24,11,9576) $\cup$ 5-(24,12,17784)

5944 5-(25,12,27720) (complement has $\lambda=49800$)
design of number 5942 with respect to smaller t
derived from number 5947

5964 5-(25,12,29040) (complement has $\lambda=48480$)
design of number 5962 with respect to smaller t
derived from number 5967

8702 5-(25,12,29160) (complement has $\lambda=48360$)
residual design of number 8696

8795 5-(25,12,29640) (complement has $\lambda=47880$)
residual design of number 8791
derived from number 8792

5984 5-(25,12,30000) (complement has $\lambda=47520$)
design of number 5982 with respect to smaller t
derived from number 5987

6004 5-(25,12,30360) (complement has $\lambda=47160$)
design of number 6002 with respect to smaller t
derived from number 6007

821 5-(25,12,30720) (complement has $\lambda=46800$)
TvT: 5-(24,11,10752) $\cup$ 5-(24,12,19968)
residual design of number 10591
derived from number 10592
design of number 10593 with respect to smaller t

6024 5-(25,12,31320) (complement has $\lambda=46200$)
design of number 6022 with respect to smaller t
derived from number 6027

6044 5-(25,12,31680) (complement has $\lambda=45840$)
design of number 6042 with respect to smaller t
derived from number 6047

8722 5-(25,12,32160) (complement has $\lambda=45360$)
residual design of number 8720

8731 5-(25,12,32400) (complement has $\lambda=45120$)
residual design of number 8730

6060 5-(25,12,32640) (complement has $\lambda=44880$)
design of number 6058 with respect to smaller t
derived from number 6063

6080 5-(25,12,33000) (complement has $\lambda=44520$)
design of number 6078 with respect to smaller t
derived from number 6083

10619 5-(25,12,33840) (complement has $\lambda=43680$)
residual design of number 10612
derived from number 10613
design of number 10615 with respect to smaller t

6100 5-(25,12,33960) (complement has $\lambda=43560$)
design of number 6098 with respect to smaller t
derived from number 6103

11075 5-(25,12,34200) (complement has $\lambda=43320$)
TvT: 5-(24,11,11970) $\cup$ 5-(24,12,22230)

6120 5-(25,12,34320) (complement has $\lambda=43200$)
design of number 6118 with respect to smaller t
derived from number 6123
residual design of number 6284

11511 5-(25,12,34560) (complement has $\lambda=42960$)
TvT: 5-(24,11,12096) $\cup$ 5-(24,12,22464)

6140 5-(25,12,35280) (complement has $\lambda=42240$)
design of number 6138 with respect to smaller t
derived from number 6143

8744 5-(25,12,35400) (complement has $\lambda=42120$)
residual design of number 8738

6160 5-(25,12,35640) (complement has $\lambda=41880$)
design of number 6158 with respect to smaller t
derived from number 6163
residual design of number 8762

3818 5-(25,12,36480) (complement has $\lambda=41040$)
TvT: 5-(24,11,12768) $\cup$ 5-(24,12,23712)

6180 5-(25,12,36600) (complement has $\lambda=40920$)
design of number 6178 with respect to smaller t
derived from number 6183

6200 5-(25,12,36960) (complement has $\lambda=40560$)
design of number 6198 with respect to smaller t
derived from number 6203

6214 5-(25,12,37920) (complement has $\lambda=39600$)
design of number 6212 with respect to smaller t
derived from number 6217
residual design of number 6290

6233 5-(25,12,38280) (complement has $\lambda=39240$)
design of number 6231 with respect to smaller t
derived from number 6236

711 5-(25,12,38520) (complement has $\lambda=39000$)
TvT: 5-(24,11,13482) $\cup$ 5-(24,12,25038)

7983 5-(25,12,38640) (complement has $\lambda=38880$)
residual design of number 7979
design of number 7981 with respect to smaller t
derived from number 7988

3825 5-(25,12,38760) (selfcomplementary)
TvT: 5-(24,11,27132) $\cup$ 5-(24,12,25194) Halving of the complete design
derived from number 3829
derived from complement of number 3829

3841 5-(25,13,1560) (complement has $\lambda=124410$)
supplementary design of number 3840

3834 5-(25,13,10725) (complement has $\lambda=115245$)
supplementary design of number 3833

11091 5-(25,13,11115) (complement has $\lambda=114855$)
supplementary design of number 11090

11073 5-(25,13,14820) (complement has $\lambda=111150$)
supplementary design of number 11072

8609 5-(25,13,15405) (complement has $\lambda=110565$)
supplementary design of number 8599

8624 5-(25,13,15795) (complement has $\lambda=110175$)
supplementary design of number 8620

849 5-(25,13,18720) (complement has $\lambda=107250$)
supplementary design of number 848

8636 5-(25,13,20670) (complement has $\lambda=105300$)
supplementary design of number 8632

8642 5-(25,13,21060) (complement has $\lambda=104910$)
supplementary design of number 8641

3805 5-(25,13,21450) (complement has $\lambda=104520$)
supplementary design of number 3804

860 5-(25,13,23010) (complement has $\lambda=102960$)
supplementary design of number 859

8654 5-(25,13,25935) (complement has $\lambda=100035$)
supplementary design of number 8650

8660 5-(25,13,31200) (complement has $\lambda=94770$)
supplementary design of number 8659

8666 5-(25,13,31590) (complement has $\lambda=94380$)
supplementary design of number 8665

8783 5-(25,13,32955) (complement has $\lambda=93015$)
residual design of number 8779
derived from number 8780
supplementary design of number 8782

10535 5-(25,13,34710) (complement has $\lambda=91260$)
residual design of number 10528
design of number 10531 with respect to smaller t
derived from number 10532
supplementary design of number 10534

10567 5-(25,13,35100) (complement has $\lambda=90870$)
residual design of number 10560
design of number 10563 with respect to smaller t
derived from number 10564
supplementary design of number 10566

5796 5-(25,13,35880) (complement has $\lambda=90090$)
design of number 5790 with respect to smaller t
supplementary design of number 5791
residual design of number 5794

5816 5-(25,13,36465) (complement has $\lambda=89505$)
design of number 5810 with respect to smaller t
supplementary design of number 5811
residual design of number 5814

8678 5-(25,13,36855) (complement has $\lambda=89115$)
supplementary design of number 8674

5836 5-(25,13,38025) (complement has $\lambda=87945$)
design of number 5830 with respect to smaller t
supplementary design of number 5831
residual design of number 5834

762 5-(25,13,38220) (complement has $\lambda=87750$)
supplementary design of number 761

5856 5-(25,13,38610) (complement has $\lambda=87360$)
design of number 5850 with respect to smaller t
supplementary design of number 5851
residual design of number 5854

5876 5-(25,13,40170) (complement has $\lambda=85800$)
design of number 5870 with respect to smaller t
supplementary design of number 5871
residual design of number 5874

5894 5-(25,13,40755) (complement has $\lambda=85215$)
design of number 5890 with respect to smaller t
supplementary design of number 5891
residual design of number 5892

8684 5-(25,13,41730) (complement has $\lambda=84240$)
supplementary design of number 8683

8690 5-(25,13,42120) (complement has $\lambda=83850$)
supplementary design of number 8689
design of number 10506 with respect to smaller t
residual design of number 10508
derived from number 11596

5909 5-(25,13,42315) (complement has $\lambda=83655$)
design of number 5903 with respect to smaller t
supplementary design of number 5904
residual design of number 5907

5929 5-(25,13,42900) (complement has $\lambda=83070$)
design of number 5923 with respect to smaller t
supplementary design of number 5924
residual design of number 5927

704 5-(25,13,44070) (complement has $\lambda=81900$)
supplementary design of number 703

3812 5-(25,13,44460) (complement has $\lambda=81510$)
supplementary design of number 3811

5949 5-(25,13,45045) (complement has $\lambda=80925$)
design of number 5943 with respect to smaller t
supplementary design of number 5944
residual design of number 5947

5969 5-(25,13,47190) (complement has $\lambda=78780$)
design of number 5963 with respect to smaller t
supplementary design of number 5964
residual design of number 5967

8712 5-(25,13,47385) (complement has $\lambda=78585$)
supplementary design of number 8702

8796 5-(25,13,48165) (complement has $\lambda=77805$)
residual design of number 8792
derived from number 8793
supplementary design of number 8795

5989 5-(25,13,48750) (complement has $\lambda=77220$)
design of number 5983 with respect to smaller t
supplementary design of number 5984
residual design of number 5987

6009 5-(25,13,49335) (complement has $\lambda=76635$)
design of number 6003 with respect to smaller t
supplementary design of number 6004
residual design of number 6007

822 5-(25,13,49920) (complement has $\lambda=76050$)
supplementary design of number 821
residual design of number 10592
design of number 10594 with respect to smaller t
derived from number 10595

6029 5-(25,13,50895) (complement has $\lambda=75075$)
design of number 6023 with respect to smaller t
supplementary design of number 6024
residual design of number 6027

6049 5-(25,13,51480) (complement has $\lambda=74490$)
design of number 6043 with respect to smaller t
supplementary design of number 6044
residual design of number 6047

8724 5-(25,13,52260) (complement has $\lambda=73710$)
supplementary design of number 8722

8732 5-(25,13,52650) (complement has $\lambda=73320$)
supplementary design of number 8731

6065 5-(25,13,53040) (complement has $\lambda=72930$)
design of number 6059 with respect to smaller t
supplementary design of number 6060
residual design of number 6063

6085 5-(25,13,53625) (complement has $\lambda=72345$)
design of number 6079 with respect to smaller t
supplementary design of number 6080
residual design of number 6083

10620 5-(25,13,54990) (complement has $\lambda=70980$)
residual design of number 10613
design of number 10616 with respect to smaller t
derived from number 10617
supplementary design of number 10619

6105 5-(25,13,55185) (complement has $\lambda=70785$)
design of number 6099 with respect to smaller t
supplementary design of number 6100
residual design of number 6103

11076 5-(25,13,55575) (complement has $\lambda=70395$)
supplementary design of number 11075

6125 5-(25,13,55770) (complement has $\lambda=70200$)
design of number 6119 with respect to smaller t
supplementary design of number 6120
residual design of number 6123
derived from number 8805

11512 5-(25,13,56160) (complement has $\lambda=69810$)
supplementary design of number 11511

6145 5-(25,13,57330) (complement has $\lambda=68640$)
design of number 6139 with respect to smaller t
supplementary design of number 6140
residual design of number 6143

8753 5-(25,13,57525) (complement has $\lambda=68445$)
supplementary design of number 8744

6165 5-(25,13,57915) (complement has $\lambda=68055$)
design of number 6159 with respect to smaller t
supplementary design of number 6160
residual design of number 6163

3819 5-(25,13,59280) (complement has $\lambda=66690$)
supplementary design of number 3818

6185 5-(25,13,59475) (complement has $\lambda=66495$)
design of number 6179 with respect to smaller t
supplementary design of number 6180
residual design of number 6183

6205 5-(25,13,60060) (complement has $\lambda=65910$)
design of number 6199 with respect to smaller t
supplementary design of number 6200
residual design of number 6203

6219 5-(25,13,61620) (complement has $\lambda=64350$)
design of number 6213 with respect to smaller t
supplementary design of number 6214
residual design of number 6217

6238 5-(25,13,62205) (complement has $\lambda=63765$)
design of number 6232 with respect to smaller t
supplementary design of number 6233
residual design of number 6236

712 5-(25,13,62595) (complement has $\lambda=63375$)
supplementary design of number 711

7991 5-(25,13,62790) (complement has $\lambda=63180$)
supplementary design of number 7983
design of number 7986 with respect to smaller t
residual design of number 7988
derived from number 8810

3826 5-(25,13,62985) (selfcomplementary)
supplementary design of number 3825
residual design of number 3829
residual design of complement of number 3829

8784 5-(25,14,43940) (complement has $\lambda=124020$)
residual design of number 8780

10540 5-(25,14,46280) (complement has $\lambda=121680$)
residual design of number 10532
design of number 10533 with respect to smaller t

10572 5-(25,14,46800) (complement has $\lambda=121160$)
residual design of number 10564
design of number 10565 with respect to smaller t

11597 5-(25,14,56160) (complement has $\lambda=111800$)
residual design of number 11596

8797 5-(25,14,64220) (complement has $\lambda=103740$)
residual design of number 8793

10598 5-(25,14,66560) (complement has $\lambda=101400$)
residual design of number 10595
design of number 10596 with respect to smaller t

10625 5-(25,14,73320) (complement has $\lambda=94640$)
residual design of number 10617
design of number 10618 with respect to smaller t

8806 5-(25,14,74360) (complement has $\lambda=93600$)
residual design of number 8805
design of number 10641 with respect to smaller t

8811 5-(25,14,83720) (complement has $\lambda=84240$)
residual design of number 8810

8000 6-(25,7,6) (complement has $\lambda=13$)
derived from number 7999

6251 6-(25,8,36) (complement has $\lambda=135$)
PGL(2,23)+ (242 isom. types) \cite{Bettenetal98b}

6256 6-(25,8,45) (complement has $\lambda=126$)
PGL(2,23)+ (10008 isom. types) \cite{Bettenetal98b}

6261 6-(25,8,54) (complement has $\lambda=117$)
PGL(2,23)+ \cite{Bettenetal98b}
residual design of number 7999
derived from number 8001

6265 6-(25,8,63) (complement has $\lambda=108$)
PGL(2,23)+ \cite{Bettenetal98b}
$AGL(2,5)^2$
derived from number 8003

6270 6-(25,8,72) (complement has $\lambda=99$)
PGL(2,23)+ \cite{Bettenetal98b}

6273 6-(25,8,81) (complement has $\lambda=90$)
PGL(2,23)+ \cite{Bettenetal98b}
derived from number 8007

6275 6-(25,9,285) (complement has $\lambda=684$)
\cite{Sebille98} $ AGL(2,5)$
design of number 7894 with respect to smaller t

8002 6-(25,9,306) (complement has $\lambda=663$)
residual design of number 8001

6278 6-(25,9,324) (complement has $\lambda=645$)
\cite{Sebille98} $ AGL(2,5)$

7896 6-(25,9,342) (complement has $\lambda=627$)
design of number 7895 with respect to smaller t
derived from number 7901

8004 6-(25,9,357) (complement has $\lambda=612$)
residual design of number 8003

10488 6-(25,9,432) (complement has $\lambda=537$)
derived from number 10486

7899 6-(25,9,456) (complement has $\lambda=513$)
design of number 7898 with respect to smaller t
derived from number 7903

8008 6-(25,9,459) (complement has $\lambda=510$)
residual design of number 8007

7907 6-(25,10,1176) (complement has $\lambda=2700$)
derived from number 7905

10501 6-(25,10,1296) (complement has $\lambda=2580$)
derived from number 10499

7920 6-(25,10,1356) (complement has $\lambda=2520$)
derived from number 7918

7889 6-(25,10,1368) (complement has $\lambda=2508$)
design of number 7888 with respect to smaller t
residual design of number 7901

7936 6-(25,10,1536) (complement has $\lambda=2340$)
derived from number 7934

7953 6-(25,10,1716) (complement has $\lambda=2160$)
derived from number 7951

10489 6-(25,10,1728) (complement has $\lambda=2148$)
residual design of number 10486
derived from number 10487

7892 6-(25,10,1824) (complement has $\lambda=2052$)
design of number 7891 with respect to smaller t
residual design of number 7903

7959 6-(25,10,1896) (complement has $\lambda=1980$)
derived from number 7957

7965 6-(25,10,1926) (complement has $\lambda=1950$)
derived from number 7963

10517 6-(25,10,1932) (complement has $\lambda=1944$)
derived from number 10516

5788 6-(25,10,1938) (selfcomplementary)
TvT: 6-(24,9,408) $\cup$ 6-(24,10,1530) Halving of the complete design

10529 6-(25,11,3204) (complement has $\lambda=8424$)
derived from number 10521

10561 6-(25,11,3240) (complement has $\lambda=8388$)
derived from number 10553

7908 6-(25,11,3528) (complement has $\lambda=8100$)
residual design of number 7905

10502 6-(25,11,3888) (complement has $\lambda=7740$)
residual design of number 10499
derived from number 10500

7921 6-(25,11,4068) (complement has $\lambda=7560$)
residual design of number 7918

7937 6-(25,11,4608) (complement has $\lambda=7020$)
residual design of number 7934
derived from number 10585

10614 6-(25,11,5076) (complement has $\lambda=6552$)
derived from number 10606

7954 6-(25,11,5148) (complement has $\lambda=6480$)
residual design of number 7951
derived from number 10637

10490 6-(25,11,5184) (complement has $\lambda=6444$)
residual design of number 10487

7960 6-(25,11,5688) (complement has $\lambda=5940$)
residual design of number 7957

7966 6-(25,11,5778) (complement has $\lambda=5850$)
residual design of number 7963

7980 6-(25,11,5796) (complement has $\lambda=5832$)
derived from number 7978
residual design of number 10516

10530 6-(25,12,7476) (complement has $\lambda=19656$)
residual design of number 10521
derived from number 10522

10562 6-(25,12,7560) (complement has $\lambda=19572$)
residual design of number 10553
derived from number 10554

5789 6-(25,12,7728) (complement has $\lambda=19404$)
PSL(2,23)+ (many isom. types)
derived from number 5795

5809 6-(25,12,7854) (complement has $\lambda=19278$)
PSL(2,23)+ (many isom. types)
derived from number 5815

5829 6-(25,12,8190) (complement has $\lambda=18942$)
PSL(2,23)+ (many isom. types)
derived from number 5835

5849 6-(25,12,8316) (complement has $\lambda=18816$)
PSL(2,23)+ (many isom. types)
derived from number 5855

5869 6-(25,12,8652) (complement has $\lambda=18480$)
PSL(2,23)+ (many isom. types)
derived from number 5875

5889 6-(25,12,8778) (complement has $\lambda=18354$)
PSL(2,23)+ (many isom. types)
derived from number 5893

10503 6-(25,12,9072) (complement has $\lambda=18060$)
residual design of number 10500
derived from number 10509

5902 6-(25,12,9114) (complement has $\lambda=18018$)
PSL(2,23)+ (many isom. types)
derived from number 5908

5922 6-(25,12,9240) (complement has $\lambda=17892$)
PSL(2,23)+ (many isom. types)
derived from number 5928

5942 6-(25,12,9702) (complement has $\lambda=17430$)
PSL(2,23)+ (many isom. types)
derived from number 5948

5962 6-(25,12,10164) (complement has $\lambda=16968$)
PSL(2,23)+ (many isom. types)
derived from number 5968

5982 6-(25,12,10500) (complement has $\lambda=16632$)
PSL(2,23)+ (many isom. types)
derived from number 5988

6002 6-(25,12,10626) (complement has $\lambda=16506$)
PSL(2,23)+ (many isom. types)
derived from number 6008

10593 6-(25,12,10752) (complement has $\lambda=16380$)
residual design of number 10585
derived from number 10586

6022 6-(25,12,10962) (complement has $\lambda=16170$)
PSL(2,23)+ (many isom. types)
derived from number 6028

6042 6-(25,12,11088) (complement has $\lambda=16044$)
PSL(2,23)+ (many isom. types)
derived from number 6048

6058 6-(25,12,11424) (complement has $\lambda=15708$)
PSL(2,23)+ (many isom. types)
derived from number 6064

6078 6-(25,12,11550) (complement has $\lambda=15582$)
PSL(2,23)+ (many isom. types)
derived from number 6084

10615 6-(25,12,11844) (complement has $\lambda=15288$)
residual design of number 10606
derived from number 10607

6098 6-(25,12,11886) (complement has $\lambda=15246$)
PSL(2,23)+ (many isom. types)
derived from number 6104

6118 6-(25,12,12012) (complement has $\lambda=15120$)
PSL(2,23)+ (many isom. types)
derived from number 6124
residual design of number 10637

6138 6-(25,12,12348) (complement has $\lambda=14784$)
PSL(2,23)+ (many isom. types)
derived from number 6144

6158 6-(25,12,12474) (complement has $\lambda=14658$)
PSL(2,23)+ (many isom. types)
derived from number 6164

6178 6-(25,12,12810) (complement has $\lambda=14322$)
PSL(2,23)+ (many isom. types)
derived from number 6184

6198 6-(25,12,12936) (complement has $\lambda=14196$)
PSL(2,23)+ (many isom. types)
derived from number 6204

6212 6-(25,12,13272) (complement has $\lambda=13860$)
PSL(2,23)+ (many isom. types)
derived from number 6218

6231 6-(25,12,13398) (complement has $\lambda=13734$)
PSL(2,23)+ (many isom. types)
derived from number 6237

7981 6-(25,12,13524) (complement has $\lambda=13608$)
residual design of number 7978
derived from number 7989

10531 6-(25,13,13884) (complement has $\lambda=36504$)
residual design of number 10522
derived from number 10526
supplementary design of number 10530

10563 6-(25,13,14040) (complement has $\lambda=36348$)
residual design of number 10554
derived from number 10558
supplementary design of number 10562

5790 6-(25,13,14352) (complement has $\lambda=36036$)
supplementary design of number 5789
residual design of number 5795

5810 6-(25,13,14586) (complement has $\lambda=35802$)
supplementary design of number 5809
residual design of number 5815

5830 6-(25,13,15210) (complement has $\lambda=35178$)
supplementary design of number 5829
residual design of number 5835

5850 6-(25,13,15444) (complement has $\lambda=34944$)
supplementary design of number 5849
residual design of number 5855

5870 6-(25,13,16068) (complement has $\lambda=34320$)
supplementary design of number 5869
residual design of number 5875

5890 6-(25,13,16302) (complement has $\lambda=34086$)
supplementary design of number 5889
residual design of number 5893

10506 6-(25,13,16848) (complement has $\lambda=33540$)
supplementary design of number 10503
residual design of number 10509

5903 6-(25,13,16926) (complement has $\lambda=33462$)
supplementary design of number 5902
residual design of number 5908

5923 6-(25,13,17160) (complement has $\lambda=33228$)
supplementary design of number 5922
residual design of number 5928

5943 6-(25,13,18018) (complement has $\lambda=32370$)
supplementary design of number 5942
residual design of number 5948

5963 6-(25,13,18876) (complement has $\lambda=31512$)
supplementary design of number 5962
residual design of number 5968

5983 6-(25,13,19500) (complement has $\lambda=30888$)
supplementary design of number 5982
residual design of number 5988

6003 6-(25,13,19734) (complement has $\lambda=30654$)
supplementary design of number 6002
residual design of number 6008

10594 6-(25,13,19968) (complement has $\lambda=30420$)
residual design of number 10586
derived from number 10590
supplementary design of number 10593

6023 6-(25,13,20358) (complement has $\lambda=30030$)
supplementary design of number 6022
residual design of number 6028

6043 6-(25,13,20592) (complement has $\lambda=29796$)
supplementary design of number 6042
residual design of number 6048

6059 6-(25,13,21216) (complement has $\lambda=29172$)
supplementary design of number 6058
residual design of number 6064

6079 6-(25,13,21450) (complement has $\lambda=28938$)
supplementary design of number 6078
residual design of number 6084

10616 6-(25,13,21996) (complement has $\lambda=28392$)
residual design of number 10607
derived from number 10611
supplementary design of number 10615

6099 6-(25,13,22074) (complement has $\lambda=28314$)
supplementary design of number 6098
residual design of number 6104

6119 6-(25,13,22308) (complement has $\lambda=28080$)
supplementary design of number 6118
residual design of number 6124
derived from number 10640

6139 6-(25,13,22932) (complement has $\lambda=27456$)
supplementary design of number 6138
residual design of number 6144

6159 6-(25,13,23166) (complement has $\lambda=27222$)
supplementary design of number 6158
residual design of number 6164

6179 6-(25,13,23790) (complement has $\lambda=26598$)
supplementary design of number 6178
residual design of number 6184

6199 6-(25,13,24024) (complement has $\lambda=26364$)
supplementary design of number 6198
residual design of number 6204

6213 6-(25,13,24648) (complement has $\lambda=25740$)
supplementary design of number 6212
residual design of number 6218

6232 6-(25,13,24882) (complement has $\lambda=25506$)
supplementary design of number 6231
residual design of number 6237

7986 6-(25,13,25116) (complement has $\lambda=25272$)
supplementary design of number 7981
residual design of number 7989

10533 6-(25,14,20826) (complement has $\lambda=54756$)
residual design of number 10526

10565 6-(25,14,21060) (complement has $\lambda=54522$)
residual design of number 10558

10596 6-(25,14,29952) (complement has $\lambda=45630$)
residual design of number 10590

10618 6-(25,14,32994) (complement has $\lambda=42588$)
residual design of number 10611

10641 6-(25,14,33462) (complement has $\lambda=42120$)
residual design of number 10640

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}

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}

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}

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}

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}


on 26 points:


3973 5-(26,8,70) (complement has $\lambda=1260$)
$PSL(2,25)$

3956 5-(26,8,210) (complement has $\lambda=1120$)
$PSL(2,25)$

3958 5-(26,8,280) (complement has $\lambda=1050$)
TvT: 5-(25,7,40) $\cup$ 5-(25,8,240)

3961 5-(26,8,350) (complement has $\lambda=980$)
TvT: 5-(25,7,50) $\cup$ 5-(25,8,300)

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

6298 5-(26,8,490) (complement has $\lambda=840$)
design of number 6297 with respect to smaller t
derived from number 6831

3968 5-(26,8,560) (complement has $\lambda=770$)
$PSL(2,25)$
TvT: 5-(25,7,80) $\cup$ 5-(25,8,480)

3971 5-(26,8,630) (complement has $\lambda=700$)
$PSL(2,25)$
derived from number 8819

3980 5-(26,9,315) (complement has $\lambda=5670$)
$PGL(2,25)$

3983 5-(26,9,540) (complement has $\lambda=5445$)
$PGL(2,25)$

3987 5-(26,9,630) (complement has $\lambda=5355$)
$PGL(2,25)$

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

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

6310 5-(26,9,1890) (complement has $\lambda=4095$)
design of number 6309 with respect to smaller t
residual design of number 8814

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

3978 5-(26,9,2520) (complement has $\lambda=3465$)
TvT: 5-(25,8,480) $\cup$ 5-(25,9,2040)

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

3911 5-(26,10,63) (complement has $\lambda=20286$)
TvT: 5-(25,9,15) $\cup$ 5-(25,10,48)

3901 5-(26,10,189) (complement has $\lambda=20160$)
TvT: 5-(25,9,45) $\cup$ 5-(25,10,144)

3903 5-(26,10,378) (complement has $\lambda=19971$)
TvT: 5-(25,9,90) $\cup$ 5-(25,10,288)

3905 5-(26,10,441) (complement has $\lambda=19908$)
TvT: 5-(25,9,105) $\cup$ 5-(25,10,336)

3907 5-(26,10,504) (complement has $\lambda=19845$)
TvT: 5-(25,9,120) $\cup$ 5-(25,10,384)

3909 5-(26,10,567) (complement has $\lambda=19782$)
TvT: 5-(25,9,135) $\cup$ 5-(25,10,432)

3913 5-(26,10,630) (complement has $\lambda=19719$)
TvT: 5-(25,9,150) $\cup$ 5-(25,10,480)

3915 5-(26,10,756) (complement has $\lambda=19593$)
TvT: 5-(25,9,180) $\cup$ 5-(25,10,576)

3917 5-(26,10,819) (complement has $\lambda=19530$)
TvT: 5-(25,9,195) $\cup$ 5-(25,10,624)

3919 5-(26,10,945) (complement has $\lambda=19404$)
TvT: 5-(25,9,225) $\cup$ 5-(25,10,720)

857 5-(26,10,1260) (complement has $\lambda=19089$)
TvT: 5-(25,9,300) $\cup$ 5-(25,10,960)

3899 5-(26,10,1323) (complement has $\lambda=19026$)
TvT: 5-(25,9,315) $\cup$ 5-(25,10,1008)

6333 5-(26,10,1701) (complement has $\lambda=18648$)
derived from number 6331

6343 5-(26,10,2079) (complement has $\lambda=18270$)
derived from number 6341

6353 5-(26,10,2268) (complement has $\lambda=18081$)
derived from number 6351
design of number 8017 with respect to smaller t

6363 5-(26,10,2646) (complement has $\lambda=17703$)
derived from number 6361

8030 5-(26,10,2835) (complement has $\lambda=17514$)
derived from number 8026
design of number 8027 with respect to smaller t

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

8062 5-(26,10,3402) (complement has $\lambda=16947$)
derived from number 8058
design of number 8059 with respect to smaller t

8078 5-(26,10,3528) (complement has $\lambda=16821$)
derived from number 8074
design of number 8075 with respect to smaller t

8097 5-(26,10,3780) (complement has $\lambda=16569$)
derived from number 8093
design of number 8094 with respect to smaller t

8117 5-(26,10,3906) (complement has $\lambda=16443$)
derived from number 8113
design of number 8114 with respect to smaller t

8136 5-(26,10,3969) (complement has $\lambda=16380$)
derived from number 8132
design of number 8133 with respect to smaller t

8012 5-(26,10,4284) (complement has $\lambda=16065$)
residual design of number 8010
design of number 8011 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

6373 5-(26,10,4536) (complement has $\lambda=15813$)
derived from number 6371
design of number 8172 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

8206 5-(26,10,4914) (complement has $\lambda=15435$)
derived from number 8202
design of number 8203 with respect to smaller t

8225 5-(26,10,5040) (complement has $\lambda=15309$)
derived from number 8221
design of number 8222 with respect to smaller t

6383 5-(26,10,5103) (complement has $\lambda=15246$)
derived from number 6381
design of number 8237 with respect to smaller t

6392 5-(26,10,5481) (complement has $\lambda=14868$)
derived from number 6390
design of number 8247 with respect to smaller t

8261 5-(26,10,5607) (complement has $\lambda=14742$)
derived from number 8257
design of number 8258 with respect to smaller t

6402 5-(26,10,5670) (complement has $\lambda=14679$)
derived from number 6400
design of number 8276 with respect to smaller t

8289 5-(26,10,5796) (complement has $\lambda=14553$)
derived from number 8285
design of number 8286 with respect to smaller t

6410 5-(26,10,6048) (complement has $\lambda=14301$)
derived from number 6408
design of number 8299 with respect to smaller t

6419 5-(26,10,6174) (complement has $\lambda=14175$)
derived from number 6417
design of number 8306 with respect to smaller t

6427 5-(26,10,6237) (complement has $\lambda=14112$)
derived from number 6425
design of number 8310 with respect to smaller t

8322 5-(26,10,6363) (complement has $\lambda=13986$)
derived from number 8318
design of number 8319 with respect to smaller t

6435 5-(26,10,6615) (complement has $\lambda=13734$)
derived from number 6433
design of number 8338 with respect to smaller t

6444 5-(26,10,6741) (complement has $\lambda=13608$)
derived from number 6442
design of number 8347 with respect to smaller t

6453 5-(26,10,6804) (complement has $\lambda=13545$)
derived from number 6451
design of number 8356 with respect to smaller t

8367 5-(26,10,6930) (complement has $\lambda=13419$)
derived from number 8363
design of number 8364 with respect to smaller t

6460 5-(26,10,7182) (complement has $\lambda=13167$)
derived from number 6459
design of number 7902 with respect to smaller t

6464 5-(26,10,7308) (complement has $\lambda=13041$)
derived from number 6462
design of number 8379 with respect to smaller t

8393 5-(26,10,7371) (complement has $\lambda=12978$)
derived from number 8389
design of number 8390 with respect to smaller t

256 5-(26,10,7497) (complement has $\lambda=12852$)
residual design of number 253
derived from number 6472
design of number 8408 with respect to smaller t

6478 5-(26,10,7749) (complement has $\lambda=12600$)
derived from number 6476
design of number 8415 with respect to smaller t

8428 5-(26,10,7875) (complement has $\lambda=12474$)
derived from number 8424
design of number 8425 with respect to smaller t

8442 5-(26,10,7938) (complement has $\lambda=12411$)
derived from number 8438
design of number 8439 with respect to smaller t

6488 5-(26,10,8064) (complement has $\lambda=12285$)
derived from number 6486
design of number 8458 with respect to smaller t

6496 5-(26,10,8316) (complement has $\lambda=12033$)
derived from number 6494
design of number 8462 with respect to smaller t

8474 5-(26,10,8442) (complement has $\lambda=11907$)
derived from number 8470
design of number 8471 with respect to smaller t

6503 5-(26,10,8505) (complement has $\lambda=11844$)
derived from number 6501
design of number 8488 with respect to smaller t

6511 5-(26,10,8631) (complement has $\lambda=11718$)
derived from number 6509
design of number 8497 with respect to smaller t

8511 5-(26,10,8883) (complement has $\lambda=11466$)
derived from number 8507
design of number 8508 with respect to smaller t

6521 5-(26,10,9009) (complement has $\lambda=11340$)
derived from number 6519
design of number 8526 with respect to smaller t

6529 5-(26,10,9072) (complement has $\lambda=11277$)
derived from number 6527
design of number 8530 with respect to smaller t

6538 5-(26,10,9198) (complement has $\lambda=11151$)
derived from number 6536
design of number 8537 with respect to smaller t

8550 5-(26,10,9450) (complement has $\lambda=10899$)
derived from number 8546
design of number 8547 with respect to smaller t

6547 5-(26,10,9576) (complement has $\lambda=10773$)
derived from number 6546
design of number 7904 with respect to smaller t

266 5-(26,10,9639) (complement has $\lambda=10710$)
residual design of number 263
design of number 275 with respect to smaller t
derived from number 6549

6557 5-(26,10,9765) (complement has $\lambda=10584$)
derived from number 6555
design of number 8570 with respect to smaller t

6319 5-(26,10,10017) (complement has $\lambda=10332$)
derived from number 6317
design of number 8579 with respect to smaller t

6328 5-(26,10,10143) (complement has $\lambda=10206$)
derived from number 6326
design of number 8586 with respect to smaller t

3933 5-(26,11,672) (complement has $\lambda=53592$)
TvT: 5-(25,10,192) $\cup$ 5-(25,11,480)

6637 5-(26,11,4368) (complement has $\lambda=49896$)
derived from number 6635

6334 5-(26,11,4536) (complement has $\lambda=49728$)
residual design of number 6331

11036 5-(26,11,4788) (complement has $\lambda=49476$)
TvT: 5-(25,10,1368) $\cup$ 5-(25,11,3420)

6344 5-(26,11,5544) (complement has $\lambda=48720$)
residual design of number 6341

6354 5-(26,11,6048) (complement has $\lambda=48216$)
residual design of number 6351
design of number 8018 with respect to smaller t

11051 5-(26,11,6384) (complement has $\lambda=47880$)
TvT: 5-(25,10,1824) $\cup$ 5-(25,11,4560)

8595 5-(26,11,6636) (complement has $\lambda=47628$)
derived from number 8591
design of number 8592 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

6364 5-(26,11,7056) (complement has $\lambda=47208$)
residual design of number 6361

8031 5-(26,11,7560) (complement has $\lambda=46704$)
residual design of number 8026
design of number 8028 with respect to smaller t

8050 5-(26,11,8568) (complement has $\lambda=45696$)
residual design of number 8046
design of number 8048 with respect to smaller t

6656 5-(26,11,8904) (complement has $\lambda=45360$)
derived from number 6654
design of number 8628 with respect to smaller t

6666 5-(26,11,9072) (complement has $\lambda=45192$)
derived from number 6664
residual design of number 8058
design of number 8060 with respect to smaller t

8079 5-(26,11,9408) (complement has $\lambda=44856$)
residual design of number 8074
design of number 8076 with respect to smaller t

8098 5-(26,11,10080) (complement has $\lambda=44184$)
residual design of number 8093
design of number 8095 with respect to smaller t
derived from number 8835

8118 5-(26,11,10416) (complement has $\lambda=43848$)
residual design of number 8113
design of number 8115 with respect to smaller t

8137 5-(26,11,10584) (complement has $\lambda=43680$)
residual design of number 8132
design of number 8134 with respect to smaller t

6565 5-(26,11,11172) (complement has $\lambda=43092$)
derived from number 6563
design of number 8646 with respect to smaller t

6575 5-(26,11,11340) (complement has $\lambda=42924$)
derived from number 6573

8157 5-(26,11,11592) (complement has $\lambda=42672$)
residual design of number 8152
design of number 8154 with respect to smaller t

6374 5-(26,11,12096) (complement has $\lambda=42168$)
residual design of number 6371
design of number 8173 with respect to smaller t

8187 5-(26,11,12432) (complement has $\lambda=41832$)
residual design of number 8182
design of number 8184 with respect to smaller t

8207 5-(26,11,13104) (complement has $\lambda=41160$)
residual design of number 8202
design of number 8204 with respect to smaller t

6588 5-(26,11,13440) (complement has $\lambda=40824$)
derived from number 6586
residual design of number 8221
design of number 8223 with respect to smaller t

6384 5-(26,11,13608) (complement has $\lambda=40656$)
residual design of number 6381
derived from number 6596
design of number 8238 with respect to smaller t

6393 5-(26,11,14616) (complement has $\lambda=39648$)
residual design of number 6390
design of number 8248 with respect to smaller t

8262 5-(26,11,14952) (complement has $\lambda=39312$)
residual design of number 8257
design of number 8259 with respect to smaller t
derived from number 11640

6403 5-(26,11,15120) (complement has $\lambda=39144$)
residual design of number 6400
design of number 8277 with respect to smaller t
derived from number 8853

8290 5-(26,11,15456) (complement has $\lambda=38808$)
residual design of number 8285
design of number 8287 with respect to smaller t

6604 5-(26,11,15876) (complement has $\lambda=38388$)
derived from number 6602
design of number 8670 with respect to smaller t

6411 5-(26,11,16128) (complement has $\lambda=38136$)
residual design of number 6408
design of number 8300 with respect to smaller t

6420 5-(26,11,16464) (complement has $\lambda=37800$)
residual design of number 6417
design of number 7906 with respect to smaller t

6428 5-(26,11,16632) (complement has $\lambda=37632$)
residual design of number 6425
design of number 8311 with respect to smaller t

8323 5-(26,11,16968) (complement has $\lambda=37296$)
residual design of number 8318
design of number 8320 with respect to smaller t

6436 5-(26,11,17640) (complement has $\lambda=36624$)
residual design of number 6433
design of number 8339 with respect to smaller t
derived from number 8856

6445 5-(26,11,17976) (complement has $\lambda=36288$)
residual design of number 6442
derived from number 6612
design of number 8348 with respect to smaller t

6454 5-(26,11,18144) (complement has $\lambda=36120$)
residual design of number 6451
derived from number 6618
design of number 8357 with respect to smaller t

8368 5-(26,11,18480) (complement has $\lambda=35784$)
residual design of number 8363
design of number 8365 with respect to smaller t

7922 5-(26,11,18984) (complement has $\lambda=35280$)
design of number 7919 with respect to smaller t
derived from number 8872

3921 5-(26,11,19152) (complement has $\lambda=35112$)
TvT: 5-(25,10,5472) $\cup$ 5-(25,11,13680)
residual design of number 6459
design of number 8377 with respect to smaller t

6465 5-(26,11,19488) (complement has $\lambda=34776$)
residual design of number 6462
design of number 8380 with respect to smaller t

8394 5-(26,11,19656) (complement has $\lambda=34608$)
residual design of number 8389
design of number 8391 with respect to smaller t

6474 5-(26,11,19992) (complement has $\lambda=34272$)
residual design of number 6472
design of number 8409 with respect to smaller t

8883 5-(26,11,20160) (complement has $\lambda=34104$)
derived from number 8881

8698 5-(26,11,20412) (complement has $\lambda=33852$)
derived from number 8694
design of number 8695 with respect to smaller t

6479 5-(26,11,20664) (complement has $\lambda=33600$)
residual design of number 6476
design of number 8416 with respect to smaller t

8429 5-(26,11,21000) (complement has $\lambda=33264$)
residual design of number 8424
design of number 8426 with respect to smaller t

8443 5-(26,11,21168) (complement has $\lambda=33096$)
residual design of number 8438
design of number 8440 with respect to smaller t

6489 5-(26,11,21504) (complement has $\lambda=32760$)
residual design of number 6486
design of number 7935 with respect to smaller t
derived from number 8896

6497 5-(26,11,22176) (complement has $\lambda=32088$)
residual design of number 6494
design of number 8463 with respect to smaller t

8475 5-(26,11,22512) (complement has $\lambda=31752$)
residual design of number 8470
design of number 8472 with respect to smaller t
derived from number 8719

6504 5-(26,11,22680) (complement has $\lambda=31584$)
residual design of number 6501
derived from number 6624
design of number 8489 with respect to smaller t

6512 5-(26,11,23016) (complement has $\lambda=31248$)
residual design of number 6509
design of number 8498 with respect to smaller t

8512 5-(26,11,23688) (complement has $\lambda=30576$)
residual design of number 8507
design of number 8509 with respect to smaller t
derived from number 11558

6522 5-(26,11,24024) (complement has $\lambda=30240$)
residual design of number 6519
derived from number 6629
design of number 7952 with respect to smaller t

6530 5-(26,11,24192) (complement has $\lambda=30072$)
residual design of number 6527
design of number 8531 with respect to smaller t

6539 5-(26,11,24528) (complement has $\lambda=29736$)
residual design of number 6536
design of number 8538 with respect to smaller t

8740 5-(26,11,24780) (complement has $\lambda=29484$)
derived from number 8736
design of number 8737 with respect to smaller t

8764 5-(26,11,24948) (complement has $\lambda=29316$)
derived from number 8760
design of number 8761 with respect to smaller t

8551 5-(26,11,25200) (complement has $\lambda=29064$)
residual design of number 8546
design of number 8548 with respect to smaller t
derived from number 8913

3924 5-(26,11,25536) (complement has $\lambda=28728$)
TvT: 5-(25,10,7296) $\cup$ 5-(25,11,18240)
residual design of number 6546
design of number 8564 with respect to smaller t

6551 5-(26,11,25704) (complement has $\lambda=28560$)
residual design of number 6549
design of number 8566 with respect to smaller t

3927 5-(26,11,25872) (complement has $\lambda=28392$)
TvT: 5-(25,10,7392) $\cup$ 5-(25,11,18480)

6558 5-(26,11,26040) (complement has $\lambda=28224$)
residual design of number 6555
design of number 8571 with respect to smaller t

6632 5-(26,11,26544) (complement has $\lambda=27720$)
derived from number 6631
design of number 7958 with respect to smaller t

6320 5-(26,11,26712) (complement has $\lambda=27552$)
residual design of number 6317
design of number 8580 with respect to smaller t

7967 5-(26,11,26964) (complement has $\lambda=27300$)
design of number 7964 with respect to smaller t

3929 5-(26,11,27048) (complement has $\lambda=27216$)
TvT: 5-(25,10,7728) $\cup$ 5-(25,11,19320)
residual design of number 6326
derived from number 6634
design of number 8587 with respect to smaller t

3931 5-(26,11,27132) (selfcomplementary)
TvT: 5-(25,10,7752) $\cup$ 5-(25,11,19380)

3935 5-(26,12,1440) (complement has $\lambda=114840$)
TvT: 5-(25,11,480) $\cup$ 5-(25,12,960)

6677 5-(26,12,8640) (complement has $\lambda=107640$)
derived from number 6674

6638 5-(26,12,9360) (complement has $\lambda=106920$)
residual design of number 6635

11093 5-(26,12,10260) (complement has $\lambda=106020$)
TvT: 5-(25,11,3420) $\cup$ 5-(25,12,6840)

11078 5-(26,12,13680) (complement has $\lambda=102600$)
TvT: 5-(25,11,4560) $\cup$ 5-(25,12,9120)

8596 5-(26,12,14220) (complement has $\lambda=102060$)
residual design of number 8591
design of number 8593 with respect to smaller t

6647 5-(26,12,14580) (complement has $\lambda=101700$)
residual design of number 6644
design of number 8617 with respect to smaller t

6697 5-(26,12,18360) (complement has $\lambda=97920$)
derived from number 6694

6657 5-(26,12,19080) (complement has $\lambda=97200$)
residual design of number 6654
design of number 8629 with respect to smaller t

6667 5-(26,12,19440) (complement has $\lambda=96840$)
residual design of number 6664
design of number 8640 with respect to smaller t

8839 5-(26,12,21600) (complement has $\lambda=94680$)
residual design of number 8835
derived from number 8836

8933 5-(26,12,23040) (complement has $\lambda=93240$)
derived from number 8928

6566 5-(26,12,23940) (complement has $\lambda=92340$)
residual design of number 6563
design of number 8647 with respect to smaller t

6576 5-(26,12,24300) (complement has $\lambda=91980$)
residual design of number 6573

6717 5-(26,12,28080) (complement has $\lambda=88200$)
derived from number 6714

6589 5-(26,12,28800) (complement has $\lambda=87480$)
residual design of number 6586
design of number 8658 with respect to smaller t

6598 5-(26,12,29160) (complement has $\lambda=87120$)
residual design of number 6596
design of number 8664 with respect to smaller t

6737 5-(26,12,29700) (complement has $\lambda=86580$)
derived from number 6734

8953 5-(26,12,30240) (complement has $\lambda=86040$)
derived from number 8948

6757 5-(26,12,30420) (complement has $\lambda=85860$)
derived from number 6754
design of number 8778 with respect to smaller t

8973 5-(26,12,32040) (complement has $\lambda=84240$)
derived from number 8968
design of number 10527 with respect to smaller t
residual design of number 11640

6772 5-(26,12,32400) (complement has $\lambda=83880$)
derived from number 6770
residual design of number 8853
design of number 10559 with respect to smaller t

8992 5-(26,12,32760) (complement has $\lambda=83520$)
derived from number 8987

11199 5-(26,12,33120) (complement has $\lambda=83160$)
TvT: 5-(25,11,11040) $\cup$ 5-(25,12,22080)

6605 5-(26,12,34020) (complement has $\lambda=82260$)
residual design of number 6602
design of number 8671 with respect to smaller t

9011 5-(26,12,35280) (complement has $\lambda=81000$)
derived from number 9007

9021 5-(26,12,35640) (complement has $\lambda=80640$)
derived from number 9017

8859 5-(26,12,37800) (complement has $\lambda=78480$)
residual design of number 8856
derived from number 8857

9032 5-(26,12,38160) (complement has $\lambda=78120$)
derived from number 9027

6614 5-(26,12,38520) (complement has $\lambda=77760$)
residual design of number 6612
design of number 8682 with respect to smaller t

6620 5-(26,12,38880) (complement has $\lambda=77400$)
residual design of number 6618
design of number 8688 with respect to smaller t
derived from number 11586

6783 5-(26,12,39420) (complement has $\lambda=76860$)
derived from number 6780

11200 5-(26,12,39600) (complement has $\lambda=76680$)
TvT: 5-(25,11,13200) $\cup$ 5-(25,12,26400)

9052 5-(26,12,40320) (complement has $\lambda=75960$)
derived from number 9047

8874 5-(26,12,40680) (complement has $\lambda=75600$)
residual design of number 8872
derived from number 8873

3937 5-(26,12,41040) (complement has $\lambda=75240$)
TvT: 5-(25,11,13680) $\cup$ 5-(25,12,27360)

9071 5-(26,12,42840) (complement has $\lambda=73440$)
derived from number 9067

8884 5-(26,12,43200) (complement has $\lambda=73080$)
residual design of number 8881
derived from number 8882

8699 5-(26,12,43740) (complement has $\lambda=72540$)
residual design of number 8694
design of number 8696 with respect to smaller t

6803 5-(26,12,44460) (complement has $\lambda=71820$)
derived from number 6800
design of number 8791 with respect to smaller t

11351 5-(26,12,45000) (complement has $\lambda=71280$)
TvT: 5-(25,11,15000) $\cup$ 5-(25,12,30000)

9086 5-(26,12,45720) (complement has $\lambda=70560$)
derived from number 9081

8898 5-(26,12,46080) (complement has $\lambda=70200$)
residual design of number 8896
derived from number 8897
design of number 10591 with respect to smaller t

3939 5-(26,12,47520) (complement has $\lambda=68760$)
TvT: 5-(25,11,15840) $\cup$ 5-(25,12,31680)

8721 5-(26,12,48240) (complement has $\lambda=68040$)
residual design of number 8719
design of number 8720 with respect to smaller t
derived from number 9101

6625 5-(26,12,48600) (complement has $\lambda=67680$)
residual design of number 6624
design of number 8730 with respect to smaller t
derived from number 8905

9112 5-(26,12,50760) (complement has $\lambda=65520$)
derived from number 9107
design of number 10612 with respect to smaller t
residual design of number 11558

6285 5-(26,12,51480) (complement has $\lambda=64800$)
design of number 6284 with respect to smaller t
residual design of number 6629
derived from number 6816

11518 5-(26,12,51840) (complement has $\lambda=64440$)
TvT: 5-(25,11,17280) $\cup$ 5-(25,12,34560)

9131 5-(26,12,52920) (complement has $\lambda=63360$)
derived from number 9126

8741 5-(26,12,53100) (complement has $\lambda=63180$)
residual design of number 8736
design of number 8738 with respect to smaller t

9147 5-(26,12,53280) (complement has $\lambda=63000$)
derived from number 9142

8765 5-(26,12,53460) (complement has $\lambda=62820$)
residual design of number 8760
design of number 8762 with respect to smaller t
derived from number 11282

8915 5-(26,12,54000) (complement has $\lambda=62280$)
residual design of number 8913
derived from number 8914

3946 5-(26,12,54720) (complement has $\lambda=61560$)
TvT: 5-(25,11,18240) $\cup$ 5-(25,12,36480)

3948 5-(26,12,55440) (complement has $\lambda=60840$)
TvT: 5-(25,11,18480) $\cup$ 5-(25,12,36960)
derived from number 9162

9172 5-(26,12,55800) (complement has $\lambda=60480$)
derived from number 9168

6291 5-(26,12,56880) (complement has $\lambda=59400$)
design of number 6290 with respect to smaller t
residual design of number 6631
derived from number 6825

716 5-(26,12,57780) (complement has $\lambda=58500$)
TvT: 5-(25,11,19260) $\cup$ 5-(25,12,38520)

104 5-(26,12,57960) (complement has $\lambda=58320$)
derived from number 101
residual design of number 6634
design of number 7979 with respect to smaller t

3954 5-(26,12,58140) (selfcomplementary)
TvT: 5-(25,11,19380) $\cup$ 5-(25,12,38760)

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

6678 5-(26,13,15120) (complement has $\lambda=188370$)
residual design of number 6674
derived from number 6675
Alltop construction for design number 6688

6643 5-(26,13,16380) (complement has $\lambda=187110$)
Alltop construction for design number 6641

3836 5-(26,13,17325) (complement has $\lambda=186165$)
Tran van Trung construction with supplementary design for design number 3833
Alltop construction for design number 3835

11083 5-(26,13,17955) (complement has $\lambda=185535$)
Alltop construction for design number 11080
Tran van Trung construction with supplementary design for design number 11090

11058 5-(26,13,23940) (complement has $\lambda=179550$)
Alltop construction for design number 11055
Tran van Trung construction with supplementary design for design number 11072

8611 5-(26,13,24885) (complement has $\lambda=178605$)
Tran van Trung construction with supplementary design for design number 8599
Alltop construction for design number 8605

6653 5-(26,13,25515) (complement has $\lambda=177975$)
Alltop construction for design number 6651
Tran van Trung construction with supplementary design for design number 8620

853 5-(26,13,30240) (complement has $\lambda=173250$)
Tran van Trung construction with supplementary design for design number 848
Alltop construction for design number 850

6698 5-(26,13,32130) (complement has $\lambda=171360$)
residual design of number 6694
derived from number 6695
Alltop construction for design number 6708

6663 5-(26,13,33390) (complement has $\lambda=170100$)
Alltop construction for design number 6661
Tran van Trung construction with supplementary design for design number 8632

6673 5-(26,13,34020) (complement has $\lambda=169470$)
Alltop construction for design number 6671
Tran van Trung construction with supplementary design for design number 8641

3807 5-(26,13,34650) (complement has $\lambda=168840$)
Tran van Trung construction with supplementary design for design number 3804
Alltop construction for design number 3806

11062 5-(26,13,35910) (complement has $\lambda=167580$)
Alltop construction for design number 11059

864 5-(26,13,37170) (complement has $\lambda=166320$)
Tran van Trung construction with supplementary design for design number 859
Alltop construction for design number 861

8841 5-(26,13,37800) (complement has $\lambda=165690$)
residual design of number 8836
derived from number 8840
Alltop construction for design number 8847

8934 5-(26,13,40320) (complement has $\lambda=163170$)
residual design of number 8928
derived from number 8929
Alltop construction for design number 8943

6572 5-(26,13,41895) (complement has $\lambda=161595$)
Alltop construction for design number 6570
Tran van Trung construction with supplementary design for design number 8650

6585 5-(26,13,42525) (complement has $\lambda=160965$)
Alltop construction for design number 6582

6718 5-(26,13,49140) (complement has $\lambda=154350$)
residual design of number 6714
derived from number 6715
Alltop construction for design number 6728

6595 5-(26,13,50400) (complement has $\lambda=153090$)
Alltop construction for design number 6593
Tran van Trung construction with supplementary design for design number 8659

6601 5-(26,13,51030) (complement has $\lambda=152460$)
Alltop construction for design number 6599
Tran van Trung construction with supplementary design for design number 8665

6738 5-(26,13,51975) (complement has $\lambda=151515$)
residual design of number 6734
derived from number 6735
Alltop construction for design number 6748

8954 5-(26,13,52920) (complement has $\lambda=150570$)
residual design of number 8948
derived from number 8949
Alltop construction for design number 8963

6758 5-(26,13,53235) (complement has $\lambda=150255$)
residual design of number 6754
derived from number 6755
Alltop construction for design number 6766
design of number 8779 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8782

8974 5-(26,13,56070) (complement has $\lambda=147420$)
residual design of number 8968
derived from number 8969
Alltop construction for design number 8982
design of number 10528 with respect to smaller t
Tran van Trung construction with supplementary design for design number 10534

6773 5-(26,13,56700) (complement has $\lambda=146790$)
residual design of number 6770
derived from number 6771
Alltop construction for design number 6777
design of number 10560 with respect to smaller t
Tran van Trung construction with supplementary design for design number 10566

8993 5-(26,13,57330) (complement has $\lambda=146160$)
residual design of number 8987
derived from number 8988
Alltop construction for design number 9002

5801 5-(26,13,57960) (complement has $\lambda=145530$)
Tran van Trung construction with supplementary design for design number 5791
design of number 5794 with respect to smaller t
Alltop construction for design number 5798

5821 5-(26,13,58905) (complement has $\lambda=144585$)
Tran van Trung construction with supplementary design for design number 5811
design of number 5814 with respect to smaller t
Alltop construction for design number 5818

6611 5-(26,13,59535) (complement has $\lambda=143955$)
Alltop construction for design number 6609
Tran van Trung construction with supplementary design for design number 8674

5841 5-(26,13,61425) (complement has $\lambda=142065$)
Tran van Trung construction with supplementary design for design number 5831
design of number 5834 with respect to smaller t
Alltop construction for design number 5838

766 5-(26,13,61740) (complement has $\lambda=141750$)
Tran van Trung construction with supplementary design for design number 761
Alltop construction for design number 763
residual design of number 9007
derived from number 9008

5861 5-(26,13,62370) (complement has $\lambda=141120$)
Tran van Trung construction with supplementary design for design number 5851
design of number 5854 with respect to smaller t
Alltop construction for design number 5858
residual design of number 9017
derived from number 9018

5881 5-(26,13,64890) (complement has $\lambda=138600$)
Tran van Trung construction with supplementary design for design number 5871
design of number 5874 with respect to smaller t
Alltop construction for design number 5878

5897 5-(26,13,65835) (complement has $\lambda=137655$)
Tran van Trung construction with supplementary design for design number 5891
design of number 5892 with respect to smaller t
Alltop construction for design number 5896

8861 5-(26,13,66150) (complement has $\lambda=137340$)
residual design of number 8857
derived from number 8860
Alltop construction for design number 8866

9033 5-(26,13,66780) (complement has $\lambda=136710$)
residual design of number 9027
derived from number 9028
Alltop construction for design number 9042

6617 5-(26,13,67410) (complement has $\lambda=136080$)
Alltop construction for design number 6615
Tran van Trung construction with supplementary design for design number 8683

6623 5-(26,13,68040) (complement has $\lambda=135450$)
Alltop construction for design number 6621
Tran van Trung construction with supplementary design for design number 8689
design of number 10508 with respect to smaller t
residual design of number 11586
derived from number 11587

5914 5-(26,13,68355) (complement has $\lambda=135135$)
Tran van Trung construction with supplementary design for design number 5904
design of number 5907 with respect to smaller t
Alltop construction for design number 5911

6784 5-(26,13,68985) (complement has $\lambda=134505$)
residual design of number 6780
derived from number 6781
Alltop construction for design number 6794

5934 5-(26,13,69300) (complement has $\lambda=134190$)
Tran van Trung construction with supplementary design for design number 5924
design of number 5927 with respect to smaller t
Alltop construction for design number 5931

9053 5-(26,13,70560) (complement has $\lambda=132930$)
residual design of number 9047
derived from number 9048
Alltop construction for design number 9062

708 5-(26,13,71190) (complement has $\lambda=132300$)
Tran van Trung construction with supplementary design for design number 703
Alltop construction for design number 705
residual design of number 8873
derived from number 8875

3814 5-(26,13,71820) (complement has $\lambda=131670$)
Tran van Trung construction with supplementary design for design number 3811
Alltop construction for design number 3813

5954 5-(26,13,72765) (complement has $\lambda=130725$)
Tran van Trung construction with supplementary design for design number 5944
design of number 5947 with respect to smaller t
Alltop construction for design number 5951

9072 5-(26,13,74970) (complement has $\lambda=128520$)
residual design of number 9067
derived from number 9068
Alltop construction for design number 9076

8886 5-(26,13,75600) (complement has $\lambda=127890$)
residual design of number 8882
derived from number 8885
Alltop construction for design number 8891

5974 5-(26,13,76230) (complement has $\lambda=127260$)
Tran van Trung construction with supplementary design for design number 5964
design of number 5967 with respect to smaller t
Alltop construction for design number 5971

8714 5-(26,13,76545) (complement has $\lambda=126945$)
Tran van Trung construction with supplementary design for design number 8702
Alltop construction for design number 8708

6804 5-(26,13,77805) (complement has $\lambda=125685$)
residual design of number 6800
derived from number 6801
Alltop construction for design number 6812
design of number 8792 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8795

5994 5-(26,13,78750) (complement has $\lambda=124740$)
Tran van Trung construction with supplementary design for design number 5984
design of number 5987 with respect to smaller t
Alltop construction for design number 5991

6014 5-(26,13,79695) (complement has $\lambda=123795$)
Tran van Trung construction with supplementary design for design number 6004
design of number 6007 with respect to smaller t
Alltop construction for design number 6011

9087 5-(26,13,80010) (complement has $\lambda=123480$)
residual design of number 9081
derived from number 9082
Alltop construction for design number 9096

826 5-(26,13,80640) (complement has $\lambda=122850$)
Tran van Trung construction with supplementary design for design number 821
Alltop construction for design number 823
residual design of number 8897
derived from number 8899
design of number 10592 with respect to smaller t

6034 5-(26,13,82215) (complement has $\lambda=121275$)
Tran van Trung construction with supplementary design for design number 6024
design of number 6027 with respect to smaller t
Alltop construction for design number 6031

3945 5-(26,13,83160) (complement has $\lambda=120330$)
Alltop construction for design number 3942
Tran van Trung construction with supplementary design for design number 6044
design of number 6047 with respect to smaller t

8726 5-(26,13,84420) (complement has $\lambda=119070$)
Tran van Trung construction with supplementary design for design number 8722
Alltop construction for design number 8723
residual design of number 9101
derived from number 9102

6628 5-(26,13,85050) (complement has $\lambda=118440$)
Alltop construction for design number 6626
Tran van Trung construction with supplementary design for design number 8731
residual design of number 8905
derived from number 8906

6070 5-(26,13,85680) (complement has $\lambda=117810$)
Tran van Trung construction with supplementary design for design number 6060
design of number 6063 with respect to smaller t
Alltop construction for design number 6067

6090 5-(26,13,86625) (complement has $\lambda=116865$)
Tran van Trung construction with supplementary design for design number 6080
design of number 6083 with respect to smaller t
Alltop construction for design number 6087

9113 5-(26,13,88830) (complement has $\lambda=114660$)
residual design of number 9107
derived from number 9108
Alltop construction for design number 9121
design of number 10613 with respect to smaller t
Tran van Trung construction with supplementary design for design number 10619

6110 5-(26,13,89145) (complement has $\lambda=114345$)
Tran van Trung construction with supplementary design for design number 6100
design of number 6103 with respect to smaller t
Alltop construction for design number 6107

11066 5-(26,13,89775) (complement has $\lambda=113715$)
Alltop construction for design number 11063
Tran van Trung construction with supplementary design for design number 11075

6130 5-(26,13,90090) (complement has $\lambda=113400$)
Tran van Trung construction with supplementary design for design number 6120
design of number 6123 with respect to smaller t
Alltop construction for design number 6127
residual design of number 6816
derived from number 6817

11514 5-(26,13,90720) (complement has $\lambda=112770$)
Tran van Trung construction with supplementary design for design number 11511
Alltop construction for design number 11513

6150 5-(26,13,92610) (complement has $\lambda=110880$)
Tran van Trung construction with supplementary design for design number 6140
design of number 6143 with respect to smaller t
Alltop construction for design number 6147
residual design of number 9126
derived from number 9127

8755 5-(26,13,92925) (complement has $\lambda=110565$)
Tran van Trung construction with supplementary design for design number 8744
Alltop construction for design number 8750

9148 5-(26,13,93240) (complement has $\lambda=110250$)
residual design of number 9142
derived from number 9143
Alltop construction for design number 9157

6170 5-(26,13,93555) (complement has $\lambda=109935$)
Tran van Trung construction with supplementary design for design number 6160
design of number 6163 with respect to smaller t
Alltop construction for design number 6167
residual design of number 11282
derived from number 11283

8917 5-(26,13,94500) (complement has $\lambda=108990$)
residual design of number 8914
derived from number 8916
Alltop construction for design number 8920

3821 5-(26,13,95760) (complement has $\lambda=107730$)
Tran van Trung construction with supplementary design for design number 3818
Alltop construction for design number 3820

6190 5-(26,13,96075) (complement has $\lambda=107415$)
Tran van Trung construction with supplementary design for design number 6180
design of number 6183 with respect to smaller t
Alltop construction for design number 6187

3953 5-(26,13,97020) (complement has $\lambda=106470$)
Alltop construction for design number 3950
Tran van Trung construction with supplementary design for design number 6200
design of number 6203 with respect to smaller t
residual design of number 9162
derived from number 9163

9173 5-(26,13,97650) (complement has $\lambda=105840$)
residual design of number 9168
derived from number 9169
Alltop construction for design number 9177

6224 5-(26,13,99540) (complement has $\lambda=103950$)
Tran van Trung construction with supplementary design for design number 6214
design of number 6217 with respect to smaller t
Alltop construction for design number 6221
residual design of number 6825
derived from number 6826

6243 5-(26,13,100485) (complement has $\lambda=103005$)
Tran van Trung construction with supplementary design for design number 6233
design of number 6236 with respect to smaller t
Alltop construction for design number 6240

651 5-(26,13,101115) (complement has $\lambda=102375$)
Alltop construction for design number 649
Tran van Trung construction with supplementary design for design number 711

105 5-(26,13,101430) (complement has $\lambda=102060$)
residual design of number 101
derived from number 102
Alltop construction for design number 115
Tran van Trung construction with supplementary design for design number 7983
design of number 7988 with respect to smaller t

3828 5-(26,13,101745) (selfcomplementary)
Tran van Trung construction with supplementary design for design number 3825
Alltop construction for design number 3827
design of number 3829 with respect to smaller t
complementary design of number 3829 with respect to smaller t

6682 5-(26,14,21840) (complement has $\lambda=272090$)
residual design of number 6675

6702 5-(26,14,46410) (complement has $\lambda=247520$)
residual design of number 6695

8848 5-(26,14,54600) (complement has $\lambda=239330$)
residual design of number 8840

8935 5-(26,14,58240) (complement has $\lambda=235690$)
residual design of number 8929

6722 5-(26,14,70980) (complement has $\lambda=222950$)
residual design of number 6715

6742 5-(26,14,75075) (complement has $\lambda=218855$)
residual design of number 6735

8955 5-(26,14,76440) (complement has $\lambda=217490$)
residual design of number 8949

6762 5-(26,14,76895) (complement has $\lambda=217035$)
residual design of number 6755
design of number 8780 with respect to smaller t

8975 5-(26,14,80990) (complement has $\lambda=212940$)
residual design of number 8969
design of number 10532 with respect to smaller t

6776 5-(26,14,81900) (complement has $\lambda=212030$)
residual design of number 6771
design of number 10564 with respect to smaller t

8994 5-(26,14,82810) (complement has $\lambda=211120$)
residual design of number 8988

9012 5-(26,14,89180) (complement has $\lambda=204750$)
residual design of number 9008

9022 5-(26,14,90090) (complement has $\lambda=203840$)
residual design of number 9018

8867 5-(26,14,95550) (complement has $\lambda=198380$)
residual design of number 8860

9034 5-(26,14,96460) (complement has $\lambda=197470$)
residual design of number 9028

11590 5-(26,14,98280) (complement has $\lambda=195650$)
residual design of number 11587
design of number 11596 with respect to smaller t

6788 5-(26,14,99645) (complement has $\lambda=194285$)
residual design of number 6781

9054 5-(26,14,101920) (complement has $\lambda=192010$)
residual design of number 9048

8878 5-(26,14,102830) (complement has $\lambda=191100$)
residual design of number 8875

9073 5-(26,14,108290) (complement has $\lambda=185640$)
residual design of number 9068

8892 5-(26,14,109200) (complement has $\lambda=184730$)
residual design of number 8885

6808 5-(26,14,112385) (complement has $\lambda=181545$)
residual design of number 6801
design of number 8793 with respect to smaller t

9088 5-(26,14,115570) (complement has $\lambda=178360$)
residual design of number 9082

8902 5-(26,14,116480) (complement has $\lambda=177450$)
residual design of number 8899
design of number 10595 with respect to smaller t

9103 5-(26,14,121940) (complement has $\lambda=171990$)
residual design of number 9102

8909 5-(26,14,122850) (complement has $\lambda=171080$)
residual design of number 8906

9114 5-(26,14,128310) (complement has $\lambda=165620$)
residual design of number 9108
design of number 10617 with respect to smaller t

6822 5-(26,14,130130) (complement has $\lambda=163800$)
residual design of number 6817
design of number 8805 with respect to smaller t

9132 5-(26,14,133770) (complement has $\lambda=160160$)
residual design of number 9127

9149 5-(26,14,134680) (complement has $\lambda=159250$)
residual design of number 9143

11286 5-(26,14,135135) (complement has $\lambda=158795$)
residual design of number 11283

8921 5-(26,14,136500) (complement has $\lambda=157430$)
residual design of number 8916

9164 5-(26,14,140140) (complement has $\lambda=153790$)
residual design of number 9163

9174 5-(26,14,141050) (complement has $\lambda=152880$)
residual design of number 9169

6829 5-(26,14,143780) (complement has $\lambda=150150$)
residual design of number 6826

109 5-(26,14,146510) (complement has $\lambda=147420$)
residual design of number 102
design of number 8810 with respect to smaller t

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

6297 6-(26,8,70) (complement has $\lambda=120$)
$P\Gamma L(2,25)$ (87 isomorphism types) \cite{Bettenetal97b}

6301 6-(26,9,180) (complement has $\lambda=960$)
$PSL(2,25)$

6306 6-(26,9,240) (complement has $\lambda=900$)
$PSL(2,25)$
derived from number 8009

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

6314 6-(26,9,420) (complement has $\lambda=720$)
$PSL(2,25)$
design of number 8003 with respect to smaller t

274 6-(26,9,540) (complement has $\lambda=600$)
derived from number 273
$PSL(2,25)$
design of number 8007 with respect to smaller t

8017 6-(26,10,540) (complement has $\lambda=4305$)
derived from number 8016

8027 6-(26,10,675) (complement has $\lambda=4170$)
derived from number 8025

8047 6-(26,10,765) (complement has $\lambda=4080$)
derived from number 8045

8059 6-(26,10,810) (complement has $\lambda=4035$)
derived from number 8057

8075 6-(26,10,840) (complement has $\lambda=4005$)
derived from number 8073

8094 6-(26,10,900) (complement has $\lambda=3945$)
derived from number 8092

8114 6-(26,10,930) (complement has $\lambda=3915$)
derived from number 8112

8133 6-(26,10,945) (complement has $\lambda=3900$)
derived from number 8131

8011 6-(26,10,1020) (complement has $\lambda=3825$)
residual design of number 8009

8153 6-(26,10,1035) (complement has $\lambda=3810$)
derived from number 8151

8172 6-(26,10,1080) (complement has $\lambda=3765$)
derived from number 8171

8183 6-(26,10,1110) (complement has $\lambda=3735$)
derived from number 8181

8203 6-(26,10,1170) (complement has $\lambda=3675$)
derived from number 8201

8222 6-(26,10,1200) (complement has $\lambda=3645$)
derived from number 8220

8237 6-(26,10,1215) (complement has $\lambda=3630$)
derived from number 8236

8247 6-(26,10,1305) (complement has $\lambda=3540$)
derived from number 8246

8258 6-(26,10,1335) (complement has $\lambda=3510$)
derived from number 8256

8276 6-(26,10,1350) (complement has $\lambda=3495$)
derived from number 8275

8286 6-(26,10,1380) (complement has $\lambda=3465$)
derived from number 8284

8299 6-(26,10,1440) (complement has $\lambda=3405$)
derived from number 8298

8306 6-(26,10,1470) (complement has $\lambda=3375$)
derived from number 8305

8310 6-(26,10,1485) (complement has $\lambda=3360$)
derived from number 8309

8319 6-(26,10,1515) (complement has $\lambda=3330$)
derived from number 8317

8338 6-(26,10,1575) (complement has $\lambda=3270$)
derived from number 8337

8347 6-(26,10,1605) (complement has $\lambda=3240$)
derived from number 8346

8356 6-(26,10,1620) (complement has $\lambda=3225$)
derived from number 8355

8364 6-(26,10,1650) (complement has $\lambda=3195$)
derived from number 8362

7902 6-(26,10,1710) (complement has $\lambda=3135$)
design of number 7901 with respect to smaller t
derived from number 8376

8379 6-(26,10,1740) (complement has $\lambda=3105$)
derived from number 8378

8390 6-(26,10,1755) (complement has $\lambda=3090$)
derived from number 8388

8408 6-(26,10,1785) (complement has $\lambda=3060$)
derived from number 8407

8415 6-(26,10,1845) (complement has $\lambda=3000$)
derived from number 8414

8425 6-(26,10,1875) (complement has $\lambda=2970$)
derived from number 8423

8439 6-(26,10,1890) (complement has $\lambda=2955$)
derived from number 8437

8458 6-(26,10,1920) (complement has $\lambda=2925$)
derived from number 8457

8462 6-(26,10,1980) (complement has $\lambda=2865$)
derived from number 8461

8471 6-(26,10,2010) (complement has $\lambda=2835$)
derived from number 8469

8488 6-(26,10,2025) (complement has $\lambda=2820$)
derived from number 8487

8497 6-(26,10,2055) (complement has $\lambda=2790$)
derived from number 8496

8508 6-(26,10,2115) (complement has $\lambda=2730$)
derived from number 8506

8526 6-(26,10,2145) (complement has $\lambda=2700$)
derived from number 8525

8530 6-(26,10,2160) (complement has $\lambda=2685$)
derived from number 8529
design of number 10486 with respect to smaller t

8537 6-(26,10,2190) (complement has $\lambda=2655$)
derived from number 8536

8547 6-(26,10,2250) (complement has $\lambda=2595$)
derived from number 8545

7904 6-(26,10,2280) (complement has $\lambda=2565$)
design of number 7903 with respect to smaller t
derived from number 8563

275 6-(26,10,2295) (complement has $\lambda=2550$)
residual design of number 273
derived from number 8565

8570 6-(26,10,2325) (complement has $\lambda=2520$)
derived from number 8569

8579 6-(26,10,2385) (complement has $\lambda=2460$)
derived from number 8578

8586 6-(26,10,2415) (complement has $\lambda=2430$)
derived from number 8585

8018 6-(26,11,1728) (complement has $\lambda=13776$)
residual design of number 8016

8592 6-(26,11,1896) (complement has $\lambda=13608$)
derived from number 8590

8616 6-(26,11,1944) (complement has $\lambda=13560$)
derived from number 8615

8028 6-(26,11,2160) (complement has $\lambda=13344$)
residual design of number 8025

8048 6-(26,11,2448) (complement has $\lambda=13056$)
residual design of number 8045

8628 6-(26,11,2544) (complement has $\lambda=12960$)
derived from number 8627

8060 6-(26,11,2592) (complement has $\lambda=12912$)
residual design of number 8057
derived from number 8639

8076 6-(26,11,2688) (complement has $\lambda=12816$)
residual design of number 8073

8095 6-(26,11,2880) (complement has $\lambda=12624$)
residual design of number 8092

8115 6-(26,11,2976) (complement has $\lambda=12528$)
residual design of number 8112

8134 6-(26,11,3024) (complement has $\lambda=12480$)
residual design of number 8131

8646 6-(26,11,3192) (complement has $\lambda=12312$)
derived from number 8645

8154 6-(26,11,3312) (complement has $\lambda=12192$)
residual design of number 8151

8173 6-(26,11,3456) (complement has $\lambda=12048$)
residual design of number 8171

8184 6-(26,11,3552) (complement has $\lambda=11952$)
residual design of number 8181

8204 6-(26,11,3744) (complement has $\lambda=11760$)
residual design of number 8201

8223 6-(26,11,3840) (complement has $\lambda=11664$)
residual design of number 8220
derived from number 8657

8238 6-(26,11,3888) (complement has $\lambda=11616$)
residual design of number 8236
derived from number 8663

8248 6-(26,11,4176) (complement has $\lambda=11328$)
residual design of number 8246

8259 6-(26,11,4272) (complement has $\lambda=11232$)
residual design of number 8256

8277 6-(26,11,4320) (complement has $\lambda=11184$)
residual design of number 8275

8287 6-(26,11,4416) (complement has $\lambda=11088$)
residual design of number 8284

8670 6-(26,11,4536) (complement has $\lambda=10968$)
derived from number 8669

8300 6-(26,11,4608) (complement has $\lambda=10896$)
residual design of number 8298

7906 6-(26,11,4704) (complement has $\lambda=10800$)
design of number 7905 with respect to smaller t
residual design of number 8305

8311 6-(26,11,4752) (complement has $\lambda=10752$)
residual design of number 8309

8320 6-(26,11,4848) (complement has $\lambda=10656$)
residual design of number 8317

8339 6-(26,11,5040) (complement has $\lambda=10464$)
residual design of number 8337

8348 6-(26,11,5136) (complement has $\lambda=10368$)
residual design of number 8346
derived from number 8681

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

8365 6-(26,11,5280) (complement has $\lambda=10224$)
residual design of number 8362

7919 6-(26,11,5424) (complement has $\lambda=10080$)
design of number 7918 with respect to smaller t

8377 6-(26,11,5472) (complement has $\lambda=10032$)
residual design of number 8376

8380 6-(26,11,5568) (complement has $\lambda=9936$)
residual design of number 8378

8391 6-(26,11,5616) (complement has $\lambda=9888$)
residual design of number 8388

8409 6-(26,11,5712) (complement has $\lambda=9792$)
residual design of number 8407

8695 6-(26,11,5832) (complement has $\lambda=9672$)
derived from number 8693

8416 6-(26,11,5904) (complement has $\lambda=9600$)
residual design of number 8414

8426 6-(26,11,6000) (complement has $\lambda=9504$)
residual design of number 8423

8440 6-(26,11,6048) (complement has $\lambda=9456$)
residual design of number 8437

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

8463 6-(26,11,6336) (complement has $\lambda=9168$)
residual design of number 8461

8472 6-(26,11,6432) (complement has $\lambda=9072$)
residual design of number 8469
derived from number 8718

8489 6-(26,11,6480) (complement has $\lambda=9024$)
residual design of number 8487
derived from number 8729

8498 6-(26,11,6576) (complement has $\lambda=8928$)
residual design of number 8496

8509 6-(26,11,6768) (complement has $\lambda=8736$)
residual design of number 8506

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

8531 6-(26,11,6912) (complement has $\lambda=8592$)
residual design of number 8529
design of number 10487 with respect to smaller t

8538 6-(26,11,7008) (complement has $\lambda=8496$)
residual design of number 8536

8737 6-(26,11,7080) (complement has $\lambda=8424$)
derived from number 8735

8761 6-(26,11,7128) (complement has $\lambda=8376$)
derived from number 8759

8548 6-(26,11,7200) (complement has $\lambda=8304$)
residual design of number 8545

8564 6-(26,11,7296) (complement has $\lambda=8208$)
residual design of number 8563

8566 6-(26,11,7344) (complement has $\lambda=8160$)
residual design of number 8565

8571 6-(26,11,7440) (complement has $\lambda=8064$)
residual design of number 8569

7958 6-(26,11,7584) (complement has $\lambda=7920$)
design of number 7957 with respect to smaller t

8580 6-(26,11,7632) (complement has $\lambda=7872$)
residual design of number 8578

7964 6-(26,11,7704) (complement has $\lambda=7800$)
design of number 7963 with respect to smaller t

8587 6-(26,11,7728) (complement has $\lambda=7776$)
residual design of number 8585
derived from number 8775
design of number 10516 with respect to smaller t

8593 6-(26,12,4740) (complement has $\lambda=34020$)
residual design of number 8590

8617 6-(26,12,4860) (complement has $\lambda=33900$)
residual design of number 8615

8629 6-(26,12,6360) (complement has $\lambda=32400$)
residual design of number 8627

8640 6-(26,12,6480) (complement has $\lambda=32280$)
residual design of number 8639

8647 6-(26,12,7980) (complement has $\lambda=30780$)
residual design of number 8645

8658 6-(26,12,9600) (complement has $\lambda=29160$)
residual design of number 8657

8664 6-(26,12,9720) (complement has $\lambda=29040$)
residual design of number 8663

8778 6-(26,12,10140) (complement has $\lambda=28620$)
derived from number 8776

10527 6-(26,12,10680) (complement has $\lambda=28080$)
derived from number 10520
design of number 10521 with respect to smaller t

10559 6-(26,12,10800) (complement has $\lambda=27960$)
derived from number 10552
design of number 10553 with respect to smaller t

8671 6-(26,12,11340) (complement has $\lambda=27420$)
residual design of number 8669

8682 6-(26,12,12840) (complement has $\lambda=25920$)
residual design of number 8681

8688 6-(26,12,12960) (complement has $\lambda=25800$)
residual design of number 8687
design of number 10500 with respect to smaller t
derived from number 11594

8696 6-(26,12,14580) (complement has $\lambda=24180$)
residual design of number 8693

8791 6-(26,12,14820) (complement has $\lambda=23940$)
derived from number 8789

10591 6-(26,12,15360) (complement has $\lambda=23400$)
derived from number 10584
design of number 10585 with respect to smaller t
residual design of number 11560

8720 6-(26,12,16080) (complement has $\lambda=22680$)
residual design of number 8718

8730 6-(26,12,16200) (complement has $\lambda=22560$)
residual design of number 8729

10612 6-(26,12,16920) (complement has $\lambda=21840$)
derived from number 10605
design of number 10606 with respect to smaller t

6284 6-(26,12,17160) (complement has $\lambda=21600$)
TvT: 6-(25,11,5148) $\cup$ 6-(25,12,12012)
derived from number 8803
design of number 10637 with respect to smaller t
residual design of number 11549

8738 6-(26,12,17700) (complement has $\lambda=21060$)
residual design of number 8735

8762 6-(26,12,17820) (complement has $\lambda=20940$)
residual design of number 8759

6290 6-(26,12,18960) (complement has $\lambda=19800$)
TvT: 6-(25,11,5688) $\cup$ 6-(25,12,13272)

7979 6-(26,12,19320) (complement has $\lambda=19440$)
design of number 7978 with respect to smaller t
residual design of number 8775
derived from number 8808

8779 6-(26,13,20280) (complement has $\lambda=57240$)
residual design of number 8776
derived from number 8777

10528 6-(26,13,21360) (complement has $\lambda=56160$)
residual design of number 10520
design of number 10522 with respect to smaller t
derived from number 10525
Tran van Trung construction with supplementary design for design number 10530

10560 6-(26,13,21600) (complement has $\lambda=55920$)
residual design of number 10552
design of number 10554 with respect to smaller t
derived from number 10557
Tran van Trung construction with supplementary design for design number 10562

5794 6-(26,13,22080) (complement has $\lambda=55440$)
Tran van Trung construction with supplementary design for design number 5789
design of number 5795 with respect to smaller t

5814 6-(26,13,22440) (complement has $\lambda=55080$)
Tran van Trung construction with supplementary design for design number 5809
design of number 5815 with respect to smaller t

5834 6-(26,13,23400) (complement has $\lambda=54120$)
Tran van Trung construction with supplementary design for design number 5829
design of number 5835 with respect to smaller t

5854 6-(26,13,23760) (complement has $\lambda=53760$)
Tran van Trung construction with supplementary design for design number 5849
design of number 5855 with respect to smaller t

5874 6-(26,13,24720) (complement has $\lambda=52800$)
Tran van Trung construction with supplementary design for design number 5869
design of number 5875 with respect to smaller t

5892 6-(26,13,25080) (complement has $\lambda=52440$)
Tran van Trung construction with supplementary design for design number 5889
design of number 5893 with respect to smaller t

10508 6-(26,13,25920) (complement has $\lambda=51600$)
Tran van Trung construction with supplementary design for design number 10503
design of number 10509 with respect to smaller t
residual design of number 11594
derived from number 11595

5907 6-(26,13,26040) (complement has $\lambda=51480$)
Tran van Trung construction with supplementary design for design number 5902
design of number 5908 with respect to smaller t

5927 6-(26,13,26400) (complement has $\lambda=51120$)
Tran van Trung construction with supplementary design for design number 5922
design of number 5928 with respect to smaller t

5947 6-(26,13,27720) (complement has $\lambda=49800$)
Tran van Trung construction with supplementary design for design number 5942
design of number 5948 with respect to smaller t

5967 6-(26,13,29040) (complement has $\lambda=48480$)
Tran van Trung construction with supplementary design for design number 5962
design of number 5968 with respect to smaller t

8792 6-(26,13,29640) (complement has $\lambda=47880$)
residual design of number 8789
derived from number 8790

5987 6-(26,13,30000) (complement has $\lambda=47520$)
Tran van Trung construction with supplementary design for design number 5982
design of number 5988 with respect to smaller t

6007 6-(26,13,30360) (complement has $\lambda=47160$)
Tran van Trung construction with supplementary design for design number 6002
design of number 6008 with respect to smaller t

10592 6-(26,13,30720) (complement has $\lambda=46800$)
residual design of number 10584
design of number 10586 with respect to smaller t
derived from number 10589
Tran van Trung construction with supplementary design for design number 10593

6027 6-(26,13,31320) (complement has $\lambda=46200$)
Tran van Trung construction with supplementary design for design number 6022
design of number 6028 with respect to smaller t

6047 6-(26,13,31680) (complement has $\lambda=45840$)
Tran van Trung construction with supplementary design for design number 6042
design of number 6048 with respect to smaller t

6063 6-(26,13,32640) (complement has $\lambda=44880$)
Tran van Trung construction with supplementary design for design number 6058
design of number 6064 with respect to smaller t

6083 6-(26,13,33000) (complement has $\lambda=44520$)
Tran van Trung construction with supplementary design for design number 6078
design of number 6084 with respect to smaller t

10613 6-(26,13,33840) (complement has $\lambda=43680$)
residual design of number 10605
design of number 10607 with respect to smaller t
derived from number 10610
Tran van Trung construction with supplementary design for design number 10615

6103 6-(26,13,33960) (complement has $\lambda=43560$)
Tran van Trung construction with supplementary design for design number 6098
design of number 6104 with respect to smaller t

6123 6-(26,13,34320) (complement has $\lambda=43200$)
Tran van Trung construction with supplementary design for design number 6118
design of number 6124 with respect to smaller t
residual design of number 8803
derived from number 8804

6143 6-(26,13,35280) (complement has $\lambda=42240$)
Tran van Trung construction with supplementary design for design number 6138
design of number 6144 with respect to smaller t

6163 6-(26,13,35640) (complement has $\lambda=41880$)
Tran van Trung construction with supplementary design for design number 6158
design of number 6164 with respect to smaller t

6183 6-(26,13,36600) (complement has $\lambda=40920$)
Tran van Trung construction with supplementary design for design number 6178
design of number 6184 with respect to smaller t

6203 6-(26,13,36960) (complement has $\lambda=40560$)
Tran van Trung construction with supplementary design for design number 6198
design of number 6204 with respect to smaller t

6217 6-(26,13,37920) (complement has $\lambda=39600$)
Tran van Trung construction with supplementary design for design number 6212
design of number 6218 with respect to smaller t

6236 6-(26,13,38280) (complement has $\lambda=39240$)
Tran van Trung construction with supplementary design for design number 6231
design of number 6237 with respect to smaller t

7988 6-(26,13,38640) (complement has $\lambda=38880$)
Tran van Trung construction with supplementary design for design number 7981
design of number 7989 with respect to smaller t
residual design of number 8808
derived from number 8809

3829 6-(26,13,38760) (selfcomplementary)
Alltop construction for design number 3825
Alltop : 5-(25,12,38760) Halving of the complete design

8780 6-(26,14,32955) (complement has $\lambda=93015$)
residual design of number 8777

10532 6-(26,14,34710) (complement has $\lambda=91260$)
residual design of number 10525
design of number 10526 with respect to smaller t

10564 6-(26,14,35100) (complement has $\lambda=90870$)
residual design of number 10557
design of number 10558 with respect to smaller t

11596 6-(26,14,42120) (complement has $\lambda=83850$)
residual design of number 11595

8793 6-(26,14,48165) (complement has $\lambda=77805$)
residual design of number 8790

10595 6-(26,14,49920) (complement has $\lambda=76050$)
residual design of number 10589
design of number 10590 with respect to smaller t

10617 6-(26,14,54990) (complement has $\lambda=70980$)
residual design of number 10610
design of number 10611 with respect to smaller t

8805 6-(26,14,55770) (complement has $\lambda=70200$)
residual design of number 8804
design of number 10640 with respect to smaller t

8810 6-(26,14,62790) (complement has $\lambda=63180$)
residual design of number 8809

7999 7-(26,8,6) (complement has $\lambda=13$)
PGL(2,25) (14 solutions, 7 isom. types) \cite{Bettenetal98b}

8001 7-(26,9,54) (complement has $\lambda=117$)
$P\Gamma L(2,25)$ (3989 isom. types) \cite{Bettenetal98b}

8003 7-(26,9,63) (complement has $\lambda=108$)
$P\Gamma L(2,25)$ (37932 isom. types) \cite{Bettenetal98b}

8007 7-(26,9,81) (complement has $\lambda=90$)
$P\Gamma L(2,25)$ (many isom. types) \cite{Bettenetal98b}

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}

10486 7-(26,10,432) (complement has $\lambda=537$)
derived from number 10485

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}

7905 7-(26,11,1176) (complement has $\lambda=2700$)
$P\Gamma L(2,25)$(>=1 isom. type)

10499 7-(26,11,1296) (complement has $\lambda=2580$)
derived from number 10498

7918 7-(26,11,1356) (complement has $\lambda=2520$)
$P\Gamma L(2,25)$(>=1 isom. type)

7934 7-(26,11,1536) (complement has $\lambda=2340$)
$P\Gamma L(2,25)$(>=1 isom. type)

7951 7-(26,11,1716) (complement has $\lambda=2160$)
$P\Gamma L(2,25)$(>=1 isom. type)

10487 7-(26,11,1728) (complement has $\lambda=2148$)
residual design of number 10485

7957 7-(26,11,1896) (complement has $\lambda=1980$)
$P\Gamma L(2,25)$(>=1 isom. type)

7963 7-(26,11,1926) (complement has $\lambda=1950$)
$P\Gamma L(2,25)$(>=1 isom. type)

10516 7-(26,11,1932) (complement has $\lambda=1944$)
derived from number 10515

10521 7-(26,12,3204) (complement has $\lambda=8424$)
derived from number 10518

10553 7-(26,12,3240) (complement has $\lambda=8388$)
derived from number 10550

10500 7-(26,12,3888) (complement has $\lambda=7740$)
residual design of number 10498

10585 7-(26,12,4608) (complement has $\lambda=7020$)
derived from number 10582

10606 7-(26,12,5076) (complement has $\lambda=6552$)
derived from number 10603

10637 7-(26,12,5148) (complement has $\lambda=6480$)
derived from number 10635

7978 7-(26,12,5796) (complement has $\lambda=5832$)
$P\Gamma L(2,25)$(>=1 isom. type)
residual design of number 10515

10522 7-(26,13,7476) (complement has $\lambda=19656$)
residual design of number 10518
derived from number 10519
Alltop construction for design number 10530

10554 7-(26,13,7560) (complement has $\lambda=19572$)
residual design of number 10550
derived from number 10551
Alltop construction for design number 10562

5795 7-(26,13,7728) (complement has $\lambda=19404$)
Alltop construction for design number 5789
PSL(2,23)++ Alltop construction (many isom. types)

5815 7-(26,13,7854) (complement has $\lambda=19278$)
Alltop construction for design number 5809
PSL(2,23)++ Alltop construction (many isom. types)

5835 7-(26,13,8190) (complement has $\lambda=18942$)
Alltop construction for design number 5829
PSL(2,23)++ Alltop construction (many isom. types)

5855 7-(26,13,8316) (complement has $\lambda=18816$)
Alltop construction for design number 5849
PSL(2,23)++ Alltop construction (many isom. types)

5875 7-(26,13,8652) (complement has $\lambda=18480$)
Alltop construction for design number 5869
PSL(2,23)++ Alltop construction (many isom. types)

5893 7-(26,13,8778) (complement has $\lambda=18354$)
Alltop construction for design number 5889
PSL(2,23)++ Alltop construction (many isom. types)

10509 7-(26,13,9072) (complement has $\lambda=18060$)
Alltop construction for design number 10503

5908 7-(26,13,9114) (complement has $\lambda=18018$)
Alltop construction for design number 5902
PSL(2,23)++ Alltop construction (many isom. types)

5928 7-(26,13,9240) (complement has $\lambda=17892$)
Alltop construction for design number 5922
PSL(2,23)++ Alltop construction (many isom. types)

5948 7-(26,13,9702) (complement has $\lambda=17430$)
Alltop construction for design number 5942
PSL(2,23)++ Alltop construction (many isom. types)

5968 7-(26,13,10164) (complement has $\lambda=16968$)
Alltop construction for design number 5962
PSL(2,23)++ Alltop construction (many isom. types)

5988 7-(26,13,10500) (complement has $\lambda=16632$)
Alltop construction for design number 5982
PSL(2,23)++ Alltop construction (many isom. types)

6008 7-(26,13,10626) (complement has $\lambda=16506$)
Alltop construction for design number 6002
PSL(2,23)++ Alltop construction (many isom. types)

10586 7-(26,13,10752) (complement has $\lambda=16380$)
residual design of number 10582
derived from number 10583
Alltop construction for design number 10593

6028 7-(26,13,10962) (complement has $\lambda=16170$)
Alltop construction for design number 6022
PSL(2,23)++ Alltop construction (many isom. types)

6048 7-(26,13,11088) (complement has $\lambda=16044$)
Alltop construction for design number 6042
PSL(2,23)++ Alltop construction (many isom. types)

6064 7-(26,13,11424) (complement has $\lambda=15708$)
Alltop construction for design number 6058
PSL(2,23)++ Alltop construction (many isom. types)

6084 7-(26,13,11550) (complement has $\lambda=15582$)
Alltop construction for design number 6078
PSL(2,23)++ Alltop construction (many isom. types)

10607 7-(26,13,11844) (complement has $\lambda=15288$)
residual design of number 10603
derived from number 10604
Alltop construction for design number 10615

6104 7-(26,13,11886) (complement has $\lambda=15246$)
Alltop construction for design number 6098
PSL(2,23)++ Alltop construction (many isom. types)

6124 7-(26,13,12012) (complement has $\lambda=15120$)
Alltop construction for design number 6118
PSL(2,23)++ Alltop construction (many isom. types)
residual design of number 10635
derived from number 10636

6144 7-(26,13,12348) (complement has $\lambda=14784$)
Alltop construction for design number 6138
PSL(2,23)++ Alltop construction (many isom. types)

6164 7-(26,13,12474) (complement has $\lambda=14658$)
Alltop construction for design number 6158
PSL(2,23)++ Alltop construction (many isom. types)

6184 7-(26,13,12810) (complement has $\lambda=14322$)
Alltop construction for design number 6178
PSL(2,23)++ Alltop construction (many isom. types)

6204 7-(26,13,12936) (complement has $\lambda=14196$)
Alltop construction for design number 6198
PSL(2,23)++ Alltop construction (many isom. types)

6218 7-(26,13,13272) (complement has $\lambda=13860$)
Alltop construction for design number 6212
PSL(2,23)++ Alltop construction (many isom. types)

6237 7-(26,13,13398) (complement has $\lambda=13734$)
Alltop construction for design number 6231
PSL(2,23)++ Alltop construction (many isom. types)

7989 7-(26,13,13524) (complement has $\lambda=13608$)
Alltop construction for design number 7981
Alltop

10526 7-(26,14,13884) (complement has $\lambda=36504$)
residual design of number 10519

10558 7-(26,14,14040) (complement has $\lambda=36348$)
residual design of number 10551

10590 7-(26,14,19968) (complement has $\lambda=30420$)
residual design of number 10583

10611 7-(26,14,21996) (complement has $\lambda=28392$)
residual design of number 10604

10640 7-(26,14,22308) (complement has $\lambda=28080$)
residual design of number 10636


on 27 points:


72 5-(27,6,4) (complement has $\lambda=18$)
$ASL(3,3)^{13}$ NOT SIMPLE! 1 orbit twice

45 5-(27,6,6) (complement has $\lambda=16$)
derived from number 44

7046 5-(27,7,42) (complement has $\lambda=189$)
derived from number 7045

46 5-(27,7,63) (complement has $\lambda=168$)
residual design of number 44
derived from number 7050

7054 5-(27,7,84) (complement has $\lambda=147$)
derived from number 7053

7040 5-(27,7,105) (complement has $\lambda=126$)
derived from number 7039

7047 5-(27,8,280) (complement has $\lambda=1260$)
residual design of number 7045

7051 5-(27,8,420) (complement has $\lambda=1120$)
residual design of number 7050
derived from number 9182

7055 5-(27,8,560) (complement has $\lambda=980$)
residual design of number 7053

7041 5-(27,8,700) (complement has $\lambda=840$)
residual design of number 7039

4142 5-(27,9,385) (complement has $\lambda=6930$)
TvT: 5-(26,8,70) $\cup$ 5-(26,9,315)

6995 5-(27,9,910) (complement has $\lambda=6405$)
derived from number 6993

4133 5-(27,9,1155) (complement has $\lambda=6160$)
TvT: 5-(26,8,210) $\cup$ 5-(26,9,945)

6834 5-(27,9,1225) (complement has $\lambda=6090$)
derived from number 6832

4135 5-(27,9,1540) (complement has $\lambda=5775$)
TvT: 5-(26,8,280) $\cup$ 5-(26,9,1260)
derived from number 4189

239 5-(27,9,1645) (complement has $\lambda=5670$)
$ASL(3,3)^{13}$

6844 5-(27,9,1890) (complement has $\lambda=5425$)
derived from number 6842

9185 5-(27,9,1995) (complement has $\lambda=5320$)
residual design of number 9182
derived from number 9183

9197 5-(27,9,2130) (complement has $\lambda=5185$)
derived from number 9192

6854 5-(27,9,2170) (complement has $\lambda=5145$)
derived from number 6852

6864 5-(27,9,2205) (complement has $\lambda=5110$)
derived from number 6862

8815 5-(27,9,2310) (complement has $\lambda=5005$)
design of number 8814 with respect to smaller t

6874 5-(27,9,2520) (complement has $\lambda=4795$)
derived from number 6872

6884 5-(27,9,2590) (complement has $\lambda=4725$)
derived from number 6882

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

6895 5-(27,9,2800) (complement has $\lambda=4515$)
derived from number 6893

6905 5-(27,9,2905) (complement has $\lambda=4410$)
derived from number 6903

6915 5-(27,9,2940) (complement has $\lambda=4375$)
derived from number 6913

4140 5-(27,9,3080) (complement has $\lambda=4235$)
TvT: 5-(26,8,560) $\cup$ 5-(26,9,2520)

6925 5-(27,9,3115) (complement has $\lambda=4200$)
derived from number 6923

6935 5-(27,9,3150) (complement has $\lambda=4165$)
derived from number 6933

6945 5-(27,9,3220) (complement has $\lambda=4095$)
derived from number 6943

6955 5-(27,9,3255) (complement has $\lambda=4060$)
derived from number 6953

6965 5-(27,9,3430) (complement has $\lambda=3885$)
derived from number 6963

8821 5-(27,9,3465) (complement has $\lambda=3850$)
derived from number 8818
design of number 8819 with respect to smaller t

6975 5-(27,9,3535) (complement has $\lambda=3780$)
derived from number 6973

6985 5-(27,9,3570) (complement has $\lambda=3745$)
derived from number 6983

6996 5-(27,10,3276) (complement has $\lambda=23058$)
residual design of number 6993

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

6835 5-(27,10,4410) (complement has $\lambda=21924$)
residual design of number 6832

4190 5-(27,10,5544) (complement has $\lambda=20790$)
residual design of number 4189
design of number 8010 with respect to smaller t

6845 5-(27,10,6804) (complement has $\lambda=19530$)
residual design of number 6842

9186 5-(27,10,7182) (complement has $\lambda=19152$)
residual design of number 9183

9198 5-(27,10,7668) (complement has $\lambda=18666$)
residual design of number 9192
derived from number 9193

6855 5-(27,10,7812) (complement has $\lambda=18522$)
residual design of number 6852

6865 5-(27,10,7938) (complement has $\lambda=18396$)
residual design of number 6862

6875 5-(27,10,9072) (complement has $\lambda=17262$)
residual design of number 6872

6885 5-(27,10,9324) (complement has $\lambda=17010$)
residual design of number 6882

254 5-(27,10,9702) (complement has $\lambda=16632$)
design of number 253 with respect to smaller t
TvT: 5-(26,9,2205) $\cup$ 5-(26,10,7497)
residual design of number 6892
derived from number 7003

6896 5-(27,10,10080) (complement has $\lambda=16254$)
residual design of number 6893

6906 5-(27,10,10458) (complement has $\lambda=15876$)
residual design of number 6903

6916 5-(27,10,10584) (complement has $\lambda=15750$)
residual design of number 6913

6926 5-(27,10,11214) (complement has $\lambda=15120$)
residual design of number 6923

6936 5-(27,10,11340) (complement has $\lambda=14994$)
residual design of number 6933

6946 5-(27,10,11592) (complement has $\lambda=14742$)
residual design of number 6943

6956 5-(27,10,11718) (complement has $\lambda=14616$)
residual design of number 6953

6966 5-(27,10,12348) (complement has $\lambda=13986$)
residual design of number 6963

264 5-(27,10,12474) (complement has $\lambda=13860$)
design of number 263 with respect to smaller t
residual design of number 8818
derived from number 8825

6976 5-(27,10,12726) (complement has $\lambda=13608$)
residual design of number 6973

6986 5-(27,10,12852) (complement has $\lambda=13482$)
residual design of number 6983

6332 5-(27,11,6237) (complement has $\lambda=68376$)
design of number 6331 with respect to smaller t

6342 5-(27,11,7623) (complement has $\lambda=66990$)
design of number 6341 with respect to smaller t

6352 5-(27,11,8316) (complement has $\lambda=66297$)
design of number 6351 with respect to smaller t

6362 5-(27,11,9702) (complement has $\lambda=64911$)
design of number 6361 with respect to smaller t

8029 5-(27,11,10395) (complement has $\lambda=64218$)
design of number 8026 with respect to smaller t

8049 5-(27,11,11781) (complement has $\lambda=62832$)
design of number 8046 with respect to smaller t
residual design of number 11288

8061 5-(27,11,12474) (complement has $\lambda=62139$)
design of number 8058 with respect to smaller t
derived from number 11289

8077 5-(27,11,12936) (complement has $\lambda=61677$)
design of number 8074 with respect to smaller t

8096 5-(27,11,13860) (complement has $\lambda=60753$)
design of number 8093 with respect to smaller t
derived from number 11290

8116 5-(27,11,14322) (complement has $\lambda=60291$)
design of number 8113 with respect to smaller t

8135 5-(27,11,14553) (complement has $\lambda=60060$)
design of number 8132 with respect to smaller t

8155 5-(27,11,15939) (complement has $\lambda=58674$)
design of number 8152 with respect to smaller t

6372 5-(27,11,16632) (complement has $\lambda=57981$)
design of number 6371 with respect to smaller t

8185 5-(27,11,17094) (complement has $\lambda=57519$)
design of number 8182 with respect to smaller t

8205 5-(27,11,18018) (complement has $\lambda=56595$)
design of number 8202 with respect to smaller t

8224 5-(27,11,18480) (complement has $\lambda=56133$)
design of number 8221 with respect to smaller t
derived from number 11291

6382 5-(27,11,18711) (complement has $\lambda=55902$)
design of number 6381 with respect to smaller t
derived from number 7004

6391 5-(27,11,20097) (complement has $\lambda=54516$)
design of number 6390 with respect to smaller t

8260 5-(27,11,20559) (complement has $\lambda=54054$)
design of number 8257 with respect to smaller t
derived from number 11641

6401 5-(27,11,20790) (complement has $\lambda=53823$)
design of number 6400 with respect to smaller t
derived from number 7005

8288 5-(27,11,21252) (complement has $\lambda=53361$)
design of number 8285 with respect to smaller t

9199 5-(27,11,21726) (complement has $\lambda=52887$)
residual design of number 9193

6409 5-(27,11,22176) (complement has $\lambda=52437$)
design of number 6408 with respect to smaller t

6418 5-(27,11,22638) (complement has $\lambda=51975$)
design of number 6417 with respect to smaller t

6426 5-(27,11,22869) (complement has $\lambda=51744$)
design of number 6425 with respect to smaller t

8321 5-(27,11,23331) (complement has $\lambda=51282$)
design of number 8318 with respect to smaller t

6434 5-(27,11,24255) (complement has $\lambda=50358$)
design of number 6433 with respect to smaller t
derived from number 7006

6443 5-(27,11,24717) (complement has $\lambda=49896$)
design of number 6442 with respect to smaller t
derived from number 7009

6452 5-(27,11,24948) (complement has $\lambda=49665$)
design of number 6451 with respect to smaller t
derived from number 7010

8366 5-(27,11,25410) (complement has $\lambda=49203$)
design of number 8363 with respect to smaller t

3991 5-(27,11,26334) (complement has $\lambda=48279$)
TvT: 5-(26,10,7182) $\cup$ 5-(26,11,19152)
design of number 6459 with respect to smaller t

6463 5-(27,11,26796) (complement has $\lambda=47817$)
design of number 6462 with respect to smaller t

8392 5-(27,11,27027) (complement has $\lambda=47586$)
design of number 8389 with respect to smaller t

6473 5-(27,11,27489) (complement has $\lambda=47124$)
design of number 6472 with respect to smaller t
residual design of number 7003

6477 5-(27,11,28413) (complement has $\lambda=46200$)
design of number 6476 with respect to smaller t

8427 5-(27,11,28875) (complement has $\lambda=45738$)
design of number 8424 with respect to smaller t

8441 5-(27,11,29106) (complement has $\lambda=45507$)
design of number 8438 with respect to smaller t

6487 5-(27,11,29568) (complement has $\lambda=45045$)
design of number 6486 with respect to smaller t
derived from number 7011

6495 5-(27,11,30492) (complement has $\lambda=44121$)
design of number 6494 with respect to smaller t

8473 5-(27,11,30954) (complement has $\lambda=43659$)
design of number 8470 with respect to smaller t
derived from number 11294

6502 5-(27,11,31185) (complement has $\lambda=43428$)
design of number 6501 with respect to smaller t
derived from number 7012

6510 5-(27,11,31647) (complement has $\lambda=42966$)
design of number 6509 with respect to smaller t

8510 5-(27,11,32571) (complement has $\lambda=42042$)
design of number 8507 with respect to smaller t
derived from number 11559

6520 5-(27,11,33033) (complement has $\lambda=41580$)
design of number 6519 with respect to smaller t
derived from number 7013

6528 5-(27,11,33264) (complement has $\lambda=41349$)
design of number 6527 with respect to smaller t

6537 5-(27,11,33726) (complement has $\lambda=40887$)
design of number 6536 with respect to smaller t

8549 5-(27,11,34650) (complement has $\lambda=39963$)
design of number 8546 with respect to smaller t
derived from number 11295

3994 5-(27,11,35112) (complement has $\lambda=39501$)
TvT: 5-(26,10,9576) $\cup$ 5-(26,11,25536)
design of number 6546 with respect to smaller t

6550 5-(27,11,35343) (complement has $\lambda=39270$)
design of number 6549 with respect to smaller t
residual design of number 8825

6556 5-(27,11,35805) (complement has $\lambda=38808$)
design of number 6555 with respect to smaller t

6318 5-(27,11,36729) (complement has $\lambda=37884$)
design of number 6317 with respect to smaller t

6327 5-(27,11,37191) (complement has $\lambda=37422$)
design of number 6326 with respect to smaller t
derived from number 7014

3997 5-(27,12,2112) (complement has $\lambda=168432$)
TvT: 5-(26,11,672) $\cup$ 5-(26,12,1440)

6636 5-(27,12,13728) (complement has $\lambda=156816$)
design of number 6635 with respect to smaller t

11094 5-(27,12,15048) (complement has $\lambda=155496$)
TvT: 5-(26,11,4788) $\cup$ 5-(26,12,10260)

11079 5-(27,12,20064) (complement has $\lambda=150480$)
TvT: 5-(26,11,6384) $\cup$ 5-(26,12,13680)

8594 5-(27,12,20856) (complement has $\lambda=149688$)
design of number 8591 with respect to smaller t

6645 5-(27,12,21384) (complement has $\lambda=149160$)
design of number 6644 with respect to smaller t

11201 5-(27,12,26928) (complement has $\lambda=143616$)
TvT: 5-(26,11,8568) $\cup$ 5-(26,12,18360)

6655 5-(27,12,27984) (complement has $\lambda=142560$)
design of number 6654 with respect to smaller t

6665 5-(27,12,28512) (complement has $\lambda=142032$)
design of number 6664 with respect to smaller t
residual design of number 11289

8837 5-(27,12,31680) (complement has $\lambda=138864$)
derived from number 8834
design of number 8835 with respect to smaller t
residual design of number 11290

6564 5-(27,12,35112) (complement has $\lambda=135432$)
design of number 6563 with respect to smaller t

6574 5-(27,12,35640) (complement has $\lambda=134904$)
design of number 6573 with respect to smaller t

123 5-(27,12,39600) (complement has $\lambda=130944$)
derived from number 121

11202 5-(27,12,41184) (complement has $\lambda=129360$)
TvT: 5-(26,11,13104) $\cup$ 5-(26,12,28080)

6587 5-(27,12,42240) (complement has $\lambda=128304$)
design of number 6586 with respect to smaller t
residual design of number 11291

6597 5-(27,12,42768) (complement has $\lambda=127776$)
design of number 6596 with respect to smaller t
residual design of number 7004

11634 5-(27,12,46992) (complement has $\lambda=123552$)
TvT: 5-(26,11,14952) $\cup$ 5-(26,12,32040)
design of number 11640 with respect to smaller t
residual design of number 11641
derived from number 11642

136 5-(27,12,47520) (complement has $\lambda=123024$)
derived from number 134
residual design of number 7005
design of number 8853 with respect to smaller t

11203 5-(27,12,48576) (complement has $\lambda=121968$)
TvT: 5-(26,11,15456) $\cup$ 5-(26,12,33120)

6603 5-(27,12,49896) (complement has $\lambda=120648$)
design of number 6602 with respect to smaller t

3999 5-(27,12,51744) (complement has $\lambda=118800$)
TvT: 5-(26,11,16464) $\cup$ 5-(26,12,35280)

4003 5-(27,12,52272) (complement has $\lambda=118272$)
TvT: 5-(26,11,16632) $\cup$ 5-(26,12,35640)

7007 5-(27,12,55440) (complement has $\lambda=115104$)
residual design of number 7006
derived from number 8855
design of number 8856 with respect to smaller t

6613 5-(27,12,56496) (complement has $\lambda=114048$)
design of number 6612 with respect to smaller t
residual design of number 7009

6619 5-(27,12,57024) (complement has $\lambda=113520$)
design of number 6618 with respect to smaller t
residual design of number 7010
derived from number 11592

11204 5-(27,12,58080) (complement has $\lambda=112464$)
TvT: 5-(26,11,18480) $\cup$ 5-(26,12,39600)

151 5-(27,12,59664) (complement has $\lambda=110880$)
derived from number 149
design of number 8872 with respect to smaller t

4007 5-(27,12,60192) (complement has $\lambda=110352$)
TvT: 5-(26,11,19152) $\cup$ 5-(26,12,41040)

4009 5-(27,12,62832) (complement has $\lambda=107712$)
TvT: 5-(26,11,19992) $\cup$ 5-(26,12,42840)

166 5-(27,12,63360) (complement has $\lambda=107184$)
derived from number 164
design of number 8881 with respect to smaller t

8697 5-(27,12,64152) (complement has $\lambda=106392$)
design of number 8694 with respect to smaller t

11352 5-(27,12,66000) (complement has $\lambda=104544$)
TvT: 5-(26,11,21000) $\cup$ 5-(26,12,45000)

181 5-(27,12,67584) (complement has $\lambda=102960$)
derived from number 179
residual design of number 7011
design of number 8896 with respect to smaller t

4013 5-(27,12,69696) (complement has $\lambda=100848$)
TvT: 5-(26,11,22176) $\cup$ 5-(26,12,47520)

7016 5-(27,12,70752) (complement has $\lambda=99792$)
derived from number 7015
design of number 8719 with respect to smaller t
residual design of number 11294

196 5-(27,12,71280) (complement has $\lambda=99264$)
derived from number 194
design of number 6624 with respect to smaller t
residual design of number 7012

11205 5-(27,12,74448) (complement has $\lambda=96096$)
TvT: 5-(26,11,23688) $\cup$ 5-(26,12,50760)
design of number 11558 with respect to smaller t
residual design of number 11559
derived from number 11569

6630 5-(27,12,75504) (complement has $\lambda=95040$)
design of number 6629 with respect to smaller t
residual design of number 7013
derived from number 7023

11522 5-(27,12,76032) (complement has $\lambda=94512$)
TvT: 5-(26,11,24192) $\cup$ 5-(26,12,51840)

8739 5-(27,12,77880) (complement has $\lambda=92664$)
design of number 8736 with respect to smaller t

8763 5-(27,12,78408) (complement has $\lambda=92136$)
design of number 8760 with respect to smaller t
derived from number 11296

211 5-(27,12,79200) (complement has $\lambda=91344$)
derived from number 209
design of number 8913 with respect to smaller t
residual design of number 11295

4016 5-(27,12,80256) (complement has $\lambda=90288$)
TvT: 5-(26,11,25536) $\cup$ 5-(26,12,54720)

4018 5-(27,12,81312) (complement has $\lambda=89232$)
TvT: 5-(26,11,25872) $\cup$ 5-(26,12,55440)

4020 5-(27,12,81840) (complement has $\lambda=88704$)
TvT: 5-(26,11,26040) $\cup$ 5-(26,12,55800)

226 5-(27,12,83424) (complement has $\lambda=87120$)
derived from number 224
design of number 6631 with respect to smaller t

718 5-(27,12,84744) (complement has $\lambda=85800$)
TvT: 5-(26,11,26964) $\cup$ 5-(26,12,57780)

4024 5-(27,12,85008) (complement has $\lambda=85536$)
TvT: 5-(26,11,27048) $\cup$ 5-(26,12,57960)
design of number 6634 with respect to smaller t
residual design of number 7014
derived from number 7025

7028 5-(27,12,85272) (selfcomplementary)
derived from number 7026
derived from complement of number 7026

4072 5-(27,13,3960) (complement has $\lambda=315810$)
TvT: 5-(26,12,1440) $\cup$ 5-(26,13,2520)

6676 5-(27,13,23760) (complement has $\lambda=296010$)
design of number 6674 with respect to smaller t
derived from number 6679

720 5-(27,13,25740) (complement has $\lambda=294030$)
TvT: 5-(26,12,9360) $\cup$ 5-(26,13,16380)

11112 5-(27,13,28215) (complement has $\lambda=291555$)
TvT: 5-(26,12,10260) $\cup$ 5-(26,13,17955)

11120 5-(27,13,37620) (complement has $\lambda=282150$)
TvT: 5-(26,12,13680) $\cup$ 5-(26,13,23940)

11206 5-(27,13,39105) (complement has $\lambda=280665$)
TvT: 5-(26,12,14220) $\cup$ 5-(26,13,24885)

626 5-(27,13,40095) (complement has $\lambda=279675$)
TvT: 5-(26,12,14580) $\cup$ 5-(26,13,25515)

6696 5-(27,13,50490) (complement has $\lambda=269280$)
design of number 6694 with respect to smaller t
derived from number 6699

4079 5-(27,13,52470) (complement has $\lambda=267300$)
TvT: 5-(26,12,19080) $\cup$ 5-(26,13,33390)

4088 5-(27,13,53460) (complement has $\lambda=266310$)
TvT: 5-(26,12,19440) $\cup$ 5-(26,13,34020)

8838 5-(27,13,59400) (complement has $\lambda=260370$)
residual design of number 8834
design of number 8836 with respect to smaller t
derived from number 8842

8931 5-(27,13,63360) (complement has $\lambda=256410$)
derived from number 8927
design of number 8928 with respect to smaller t

4097 5-(27,13,65835) (complement has $\lambda=253935$)
TvT: 5-(26,12,23940) $\cup$ 5-(26,13,41895)

11037 5-(27,13,66825) (complement has $\lambda=252945$)
TvT: 5-(26,12,24300) $\cup$ 5-(26,13,42525)

124 5-(27,13,74250) (complement has $\lambda=245520$)
residual design of number 121

6716 5-(27,13,77220) (complement has $\lambda=242550$)
design of number 6714 with respect to smaller t
derived from number 6719

4106 5-(27,13,79200) (complement has $\lambda=240570$)
TvT: 5-(26,12,28800) $\cup$ 5-(26,13,50400)

4115 5-(27,13,80190) (complement has $\lambda=239580$)
TvT: 5-(26,12,29160) $\cup$ 5-(26,13,51030)

6736 5-(27,13,81675) (complement has $\lambda=238095$)
design of number 6734 with respect to smaller t
derived from number 6739

8951 5-(27,13,83160) (complement has $\lambda=236610$)
derived from number 8947
design of number 8948 with respect to smaller t

6756 5-(27,13,83655) (complement has $\lambda=236115$)
design of number 6754 with respect to smaller t
derived from number 6759

8971 5-(27,13,88110) (complement has $\lambda=231660$)
derived from number 8967
design of number 8968 with respect to smaller t
residual design of number 11642

137 5-(27,13,89100) (complement has $\lambda=230670$)
residual design of number 134
design of number 6770 with respect to smaller t
derived from number 6774

8990 5-(27,13,90090) (complement has $\lambda=229680$)
derived from number 8986
design of number 8987 with respect to smaller t

11209 5-(27,13,91080) (complement has $\lambda=228690$)
TvT: 5-(26,12,33120) $\cup$ 5-(26,13,57960)

4124 5-(27,13,93555) (complement has $\lambda=226215$)
TvT: 5-(26,12,34020) $\cup$ 5-(26,13,59535)

9009 5-(27,13,97020) (complement has $\lambda=222750$)
derived from number 9006
design of number 9007 with respect to smaller t

9019 5-(27,13,98010) (complement has $\lambda=221760$)
derived from number 9016
design of number 9017 with respect to smaller t

8858 5-(27,13,103950) (complement has $\lambda=215820$)
residual design of number 8855
design of number 8857 with respect to smaller t
derived from number 8862

9030 5-(27,13,104940) (complement has $\lambda=214830$)
derived from number 9026
design of number 9027 with respect to smaller t

4026 5-(27,13,105930) (complement has $\lambda=213840$)
TvT: 5-(26,12,38520) $\cup$ 5-(26,13,67410)

4035 5-(27,13,106920) (complement has $\lambda=212850$)
TvT: 5-(26,12,38880) $\cup$ 5-(26,13,68040)
design of number 11586 with respect to smaller t
derived from number 11588
residual design of number 11592

6782 5-(27,13,108405) (complement has $\lambda=211365$)
design of number 6780 with respect to smaller t
derived from number 6785

11353 5-(27,13,108900) (complement has $\lambda=210870$)
TvT: 5-(26,12,39600) $\cup$ 5-(26,13,69300)

9050 5-(27,13,110880) (complement has $\lambda=208890$)
derived from number 9046
design of number 9047 with respect to smaller t

152 5-(27,13,111870) (complement has $\lambda=207900$)
residual design of number 149
design of number 8873 with respect to smaller t
derived from number 8876

4044 5-(27,13,112860) (complement has $\lambda=206910$)
TvT: 5-(26,12,41040) $\cup$ 5-(26,13,71820)

9069 5-(27,13,117810) (complement has $\lambda=201960$)
derived from number 9066
design of number 9067 with respect to smaller t

167 5-(27,13,118800) (complement has $\lambda=200970$)
residual design of number 164
design of number 8882 with respect to smaller t
derived from number 8887

11212 5-(27,13,120285) (complement has $\lambda=199485$)
TvT: 5-(26,12,43740) $\cup$ 5-(26,13,76545)

6802 5-(27,13,122265) (complement has $\lambda=197505$)
design of number 6800 with respect to smaller t
derived from number 6805

11386 5-(27,13,123750) (complement has $\lambda=196020$)
TvT: 5-(26,12,45000) $\cup$ 5-(26,13,78750)

9084 5-(27,13,125730) (complement has $\lambda=194040$)
derived from number 9080
design of number 9081 with respect to smaller t

182 5-(27,13,126720) (complement has $\lambda=193050$)
residual design of number 179
design of number 8897 with respect to smaller t
derived from number 8900

4051 5-(27,13,130680) (complement has $\lambda=189090$)
TvT: 5-(26,12,47520) $\cup$ 5-(26,13,83160)

7017 5-(27,13,132660) (complement has $\lambda=187110$)
residual design of number 7015
derived from number 9100
design of number 9101 with respect to smaller t

197 5-(27,13,133650) (complement has $\lambda=186120$)
residual design of number 194
design of number 8905 with respect to smaller t
derived from number 8907

9110 5-(27,13,139590) (complement has $\lambda=180180$)
derived from number 9106
design of number 9107 with respect to smaller t
residual design of number 11569

6818 5-(27,13,141570) (complement has $\lambda=178200$)
design of number 6816 with respect to smaller t
derived from number 6819
residual design of number 7023

11530 5-(27,13,142560) (complement has $\lambda=177210$)
TvT: 5-(26,12,51840) $\cup$ 5-(26,13,90720)

9129 5-(27,13,145530) (complement has $\lambda=174240$)
derived from number 9125
design of number 9126 with respect to smaller t

11215 5-(27,13,146025) (complement has $\lambda=173745$)
TvT: 5-(26,12,53100) $\cup$ 5-(26,13,92925)

9145 5-(27,13,146520) (complement has $\lambda=173250$)
derived from number 9141
design of number 9142 with respect to smaller t

11222 5-(27,13,147015) (complement has $\lambda=172755$)
TvT: 5-(26,12,53460) $\cup$ 5-(26,13,93555)
design of number 11282 with respect to smaller t
derived from number 11284
residual design of number 11296

212 5-(27,13,148500) (complement has $\lambda=171270$)
residual design of number 209
design of number 8914 with respect to smaller t
derived from number 8918

4058 5-(27,13,150480) (complement has $\lambda=169290$)
TvT: 5-(26,12,54720) $\cup$ 5-(26,13,95760)

4065 5-(27,13,152460) (complement has $\lambda=167310$)
TvT: 5-(26,12,55440) $\cup$ 5-(26,13,97020)
derived from number 9161
design of number 9162 with respect to smaller t

9170 5-(27,13,153450) (complement has $\lambda=166320$)
derived from number 9167
design of number 9168 with respect to smaller t

227 5-(27,13,156420) (complement has $\lambda=163350$)
residual design of number 224
design of number 6825 with respect to smaller t
derived from number 6827

417 5-(27,13,158895) (complement has $\lambda=160875$)
TvT: 5-(26,12,57780) $\cup$ 5-(26,13,101115)

103 5-(27,13,159390) (complement has $\lambda=160380$)
design of number 101 with respect to smaller t
derived from number 106
residual design of number 7025

7029 5-(27,13,159885) (selfcomplementary)
residual design of number 7026
residual design of complement of number 7026
derived from number 7035
derived from complement of number 7035

4073 5-(27,14,6160) (complement has $\lambda=491260$)
supplementary design of number 4072

6681 5-(27,14,36960) (complement has $\lambda=460460$)
design of number 6675 with respect to smaller t
supplementary design of number 6676
residual design of number 6679

721 5-(27,14,40040) (complement has $\lambda=457380$)
supplementary design of number 720

11113 5-(27,14,43890) (complement has $\lambda=453530$)
supplementary design of number 11112

11121 5-(27,14,58520) (complement has $\lambda=438900$)
supplementary design of number 11120

11207 5-(27,14,60830) (complement has $\lambda=436590$)
supplementary design of number 11206

627 5-(27,14,62370) (complement has $\lambda=435050$)
supplementary design of number 626

6701 5-(27,14,78540) (complement has $\lambda=418880$)
design of number 6695 with respect to smaller t
supplementary design of number 6696
residual design of number 6699

4080 5-(27,14,81620) (complement has $\lambda=415800$)
supplementary design of number 4079

4089 5-(27,14,83160) (complement has $\lambda=414260$)
supplementary design of number 4088

8845 5-(27,14,92400) (complement has $\lambda=405020$)
supplementary design of number 8838
design of number 8840 with respect to smaller t
residual design of number 8842
derived from number 9218

8932 5-(27,14,98560) (complement has $\lambda=398860$)
residual design of number 8927
design of number 8929 with respect to smaller t
supplementary design of number 8931

4098 5-(27,14,102410) (complement has $\lambda=395010$)
supplementary design of number 4097

11038 5-(27,14,103950) (complement has $\lambda=393470$)
supplementary design of number 11037

129 5-(27,14,115500) (complement has $\lambda=381920$)
supplementary design of number 124

6721 5-(27,14,120120) (complement has $\lambda=377300$)
design of number 6715 with respect to smaller t
supplementary design of number 6716
residual design of number 6719

4107 5-(27,14,123200) (complement has $\lambda=374220$)
supplementary design of number 4106

4116 5-(27,14,124740) (complement has $\lambda=372680$)
supplementary design of number 4115

6741 5-(27,14,127050) (complement has $\lambda=370370$)
design of number 6735 with respect to smaller t
supplementary design of number 6736
residual design of number 6739

8952 5-(27,14,129360) (complement has $\lambda=368060$)
residual design of number 8947
design of number 8949 with respect to smaller t
supplementary design of number 8951

6761 5-(27,14,130130) (complement has $\lambda=367290$)
design of number 6755 with respect to smaller t
supplementary design of number 6756
residual design of number 6759

8972 5-(27,14,137060) (complement has $\lambda=360360$)
residual design of number 8967
design of number 8969 with respect to smaller t
supplementary design of number 8971

143 5-(27,14,138600) (complement has $\lambda=358820$)
supplementary design of number 137
design of number 6771 with respect to smaller t
residual design of number 6774
derived from number 9223

8991 5-(27,14,140140) (complement has $\lambda=357280$)
residual design of number 8986
design of number 8988 with respect to smaller t
supplementary design of number 8990

11210 5-(27,14,141680) (complement has $\lambda=355740$)
supplementary design of number 11209

4125 5-(27,14,145530) (complement has $\lambda=351890$)
supplementary design of number 4124

9010 5-(27,14,150920) (complement has $\lambda=346500$)
residual design of number 9006
design of number 9008 with respect to smaller t
supplementary design of number 9009

9020 5-(27,14,152460) (complement has $\lambda=344960$)
residual design of number 9016
design of number 9018 with respect to smaller t
supplementary design of number 9019

8864 5-(27,14,161700) (complement has $\lambda=335720$)
supplementary design of number 8858
design of number 8860 with respect to smaller t
residual design of number 8862
derived from number 9228

9031 5-(27,14,163240) (complement has $\lambda=334180$)
residual design of number 9026
design of number 9028 with respect to smaller t
supplementary design of number 9030

4027 5-(27,14,164780) (complement has $\lambda=332640$)
supplementary design of number 4026

4036 5-(27,14,166320) (complement has $\lambda=331100$)
supplementary design of number 4035
design of number 11587 with respect to smaller t
residual design of number 11588
derived from number 11609

6787 5-(27,14,168630) (complement has $\lambda=328790$)
design of number 6781 with respect to smaller t
supplementary design of number 6782
residual design of number 6785

11354 5-(27,14,169400) (complement has $\lambda=328020$)
supplementary design of number 11353

9051 5-(27,14,172480) (complement has $\lambda=324940$)
residual design of number 9046
design of number 9048 with respect to smaller t
supplementary design of number 9050

158 5-(27,14,174020) (complement has $\lambda=323400$)
supplementary design of number 152
design of number 8875 with respect to smaller t
residual design of number 8876
derived from number 9233

4045 5-(27,14,175560) (complement has $\lambda=321860$)
supplementary design of number 4044

9070 5-(27,14,183260) (complement has $\lambda=314160$)
residual design of number 9066
design of number 9068 with respect to smaller t
supplementary design of number 9069

173 5-(27,14,184800) (complement has $\lambda=312620$)
supplementary design of number 167
design of number 8885 with respect to smaller t
residual design of number 8887
derived from number 9238

11213 5-(27,14,187110) (complement has $\lambda=310310$)
supplementary design of number 11212

6807 5-(27,14,190190) (complement has $\lambda=307230$)
design of number 6801 with respect to smaller t
supplementary design of number 6802
residual design of number 6805

11387 5-(27,14,192500) (complement has $\lambda=304920$)
supplementary design of number 11386

9085 5-(27,14,195580) (complement has $\lambda=301840$)
residual design of number 9080
design of number 9082 with respect to smaller t
supplementary design of number 9084

188 5-(27,14,197120) (complement has $\lambda=300300$)
supplementary design of number 182
design of number 8899 with respect to smaller t
residual design of number 8900
derived from number 9243

4052 5-(27,14,203280) (complement has $\lambda=294140$)
supplementary design of number 4051

7020 5-(27,14,206360) (complement has $\lambda=291060$)
supplementary design of number 7017
residual design of number 9100
design of number 9102 with respect to smaller t

203 5-(27,14,207900) (complement has $\lambda=289520$)
supplementary design of number 197
design of number 8906 with respect to smaller t
residual design of number 8907
derived from number 9248

9111 5-(27,14,217140) (complement has $\lambda=280280$)
residual design of number 9106
design of number 9108 with respect to smaller t
supplementary design of number 9110

6821 5-(27,14,220220) (complement has $\lambda=277200$)
design of number 6817 with respect to smaller t
supplementary design of number 6818
residual design of number 6819
derived from number 9253

11531 5-(27,14,221760) (complement has $\lambda=275660$)
supplementary design of number 11530

9130 5-(27,14,226380) (complement has $\lambda=271040$)
residual design of number 9125
design of number 9127 with respect to smaller t
supplementary design of number 9129

11216 5-(27,14,227150) (complement has $\lambda=270270$)
supplementary design of number 11215

9146 5-(27,14,227920) (complement has $\lambda=269500$)
residual design of number 9141
design of number 9143 with respect to smaller t
supplementary design of number 9145

11223 5-(27,14,228690) (complement has $\lambda=268730$)
supplementary design of number 11222
design of number 11283 with respect to smaller t
residual design of number 11284

218 5-(27,14,231000) (complement has $\lambda=266420$)
supplementary design of number 212
design of number 8916 with respect to smaller t
residual design of number 8918
derived from number 9258

4059 5-(27,14,234080) (complement has $\lambda=263340$)
supplementary design of number 4058

4066 5-(27,14,237160) (complement has $\lambda=260260$)
supplementary design of number 4065
residual design of number 9161
design of number 9163 with respect to smaller t

9171 5-(27,14,238700) (complement has $\lambda=258720$)
residual design of number 9167
design of number 9169 with respect to smaller t
supplementary design of number 9170

233 5-(27,14,243320) (complement has $\lambda=254100$)
supplementary design of number 227
design of number 6826 with respect to smaller t
residual design of number 6827
derived from number 9263

418 5-(27,14,247170) (complement has $\lambda=250250$)
supplementary design of number 417

108 5-(27,14,247940) (complement has $\lambda=249480$)
design of number 102 with respect to smaller t
supplementary design of number 103
residual design of number 106
derived from number 9268

7033 5-(27,14,248710) (selfcomplementary)
supplementary design of number 7029
residual design of number 7035
residual design of complement of number 7035

9219 5-(27,15,120120) (complement has $\lambda=526526$)
residual design of number 9218

9224 5-(27,15,180180) (complement has $\lambda=466466$)
residual design of number 9223

9229 5-(27,15,210210) (complement has $\lambda=436436$)
residual design of number 9228

11610 5-(27,15,216216) (complement has $\lambda=430430$)
residual design of number 11609

9234 5-(27,15,226226) (complement has $\lambda=420420$)
residual design of number 9233

9239 5-(27,15,240240) (complement has $\lambda=406406$)
residual design of number 9238

9244 5-(27,15,256256) (complement has $\lambda=390390$)
residual design of number 9243

9249 5-(27,15,270270) (complement has $\lambda=376376$)
residual design of number 9248

9254 5-(27,15,286286) (complement has $\lambda=360360$)
residual design of number 9253

9259 5-(27,15,300300) (complement has $\lambda=346346$)
residual design of number 9258

9264 5-(27,15,316316) (complement has $\lambda=330330$)
residual design of number 9263

9269 5-(27,15,322322) (complement has $\lambda=324324$)
residual design of number 9268

8814 6-(27,9,420) (complement has $\lambda=910$)
design of number 8813 with respect to smaller t

6831 6-(27,9,490) (complement has $\lambda=840$)
TvT: 6-(26,8,70) $\cup$ 6-(26,9,420)
\cite{Sebille98} $P\Gamma L(2,25)$

8819 6-(27,9,630) (complement has $\lambda=700$)
derived from number 8817

243 6-(27,10,945) (complement has $\lambda=5040$)
$ASL(3,3)^{13}$
TvT: 6-(26,9,180) $\cup$ 6-(26,10,765)

8010 6-(27,10,1260) (complement has $\lambda=4725$)
design of number 8009 with respect to smaller t

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} $AGL(3,3)$

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

6331 6-(27,11,1701) (complement has $\lambda=18648$)
\cite{Sebille98} $AGL(3,3)$

6341 6-(27,11,2079) (complement has $\lambda=18270$)
\cite{Sebille98} $AGL(3,3)$

6351 6-(27,11,2268) (complement has $\lambda=18081$)
\cite{Sebille98} $AGL(3,3)$
design of number 8016 with respect to smaller t

6361 6-(27,11,2646) (complement has $\lambda=17703$)
\cite{Sebille98} $AGL(3,3)$

8026 6-(27,11,2835) (complement has $\lambda=17514$)
design of number 8025 with respect to smaller t

8046 6-(27,11,3213) (complement has $\lambda=17136$)
design of number 8045 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

8074 6-(27,11,3528) (complement has $\lambda=16821$)
design of number 8073 with respect to smaller t

8093 6-(27,11,3780) (complement has $\lambda=16569$)
design of number 8092 with respect to smaller t

8113 6-(27,11,3906) (complement has $\lambda=16443$)
design of number 8112 with respect to smaller t

8132 6-(27,11,3969) (complement has $\lambda=16380$)
design of number 8131 with respect to smaller t

8152 6-(27,11,4347) (complement has $\lambda=16002$)
design of number 8151 with respect to smaller t

6371 6-(27,11,4536) (complement has $\lambda=15813$)
\cite{Sebille98} $AGL(3,3)$
design of number 8171 with respect to smaller t

8182 6-(27,11,4662) (complement has $\lambda=15687$)
design of number 8181 with respect to smaller t

8202 6-(27,11,4914) (complement has $\lambda=15435$)
design of number 8201 with respect to smaller t

8221 6-(27,11,5040) (complement has $\lambda=15309$)
design of number 8220 with respect to smaller t
derived from number 11332

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

6390 6-(27,11,5481) (complement has $\lambda=14868$)
\cite{Sebille98} $AGL(3,3)$
design of number 8246 with respect to smaller t

8257 6-(27,11,5607) (complement has $\lambda=14742$)
design of number 8256 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

8285 6-(27,11,5796) (complement has $\lambda=14553$)
design of number 8284 with respect to smaller t

6408 6-(27,11,6048) (complement has $\lambda=14301$)
\cite{Sebille98} $AGL(3,3)$
design of number 8298 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

6425 6-(27,11,6237) (complement has $\lambda=14112$)
\cite{Sebille98} $AGL(3,3)$
design of number 8309 with respect to smaller t

8318 6-(27,11,6363) (complement has $\lambda=13986$)
design of number 8317 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

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

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

8363 6-(27,11,6930) (complement has $\lambda=13419$)
design of number 8362 with respect to smaller t

6459 6-(27,11,7182) (complement has $\lambda=13167$)
\cite{Sebille98} $AGL(3,3)$
design of number 8376 with respect to smaller t

6462 6-(27,11,7308) (complement has $\lambda=13041$)
\cite{Sebille98} $AGL(3,3)$
design of number 8378 with respect to smaller t

8389 6-(27,11,7371) (complement has $\lambda=12978$)
design of number 8388 with respect to smaller t

6472 6-(27,11,7497) (complement has $\lambda=12852$)
\cite{Sebille98} $AGL(3,3)$
design of number 8407 with respect to smaller t

6476 6-(27,11,7749) (complement has $\lambda=12600$)
\cite{Sebille98} $AGL(3,3)$
design of number 8414 with respect to smaller t

8424 6-(27,11,7875) (complement has $\lambda=12474$)
design of number 8423 with respect to smaller t

8438 6-(27,11,7938) (complement has $\lambda=12411$)
design of number 8437 with respect to smaller t

6486 6-(27,11,8064) (complement has $\lambda=12285$)
\cite{Sebille98} $AGL(3,3)$
design of number 8457 with respect to smaller t
derived from number 11561

6494 6-(27,11,8316) (complement has $\lambda=12033$)
\cite{Sebille98} $AGL(3,3)$
design of number 8461 with respect to smaller t

8470 6-(27,11,8442) (complement has $\lambda=11907$)
design of number 8469 with respect to smaller t
derived from number 11333

6501 6-(27,11,8505) (complement has $\lambda=11844$)
\cite{Sebille98} $AGL(3,3)$
design of number 8487 with respect to smaller t
derived from number 8832

6509 6-(27,11,8631) (complement has $\lambda=11718$)
\cite{Sebille98} $AGL(3,3)$
design of number 8496 with respect to smaller t

8507 6-(27,11,8883) (complement has $\lambda=11466$)
design of number 8506 with respect to smaller t

6519 6-(27,11,9009) (complement has $\lambda=11340$)
\cite{Sebille98} $AGL(3,3)$
design of number 8525 with respect to smaller t
derived from number 11550

6527 6-(27,11,9072) (complement has $\lambda=11277$)
\cite{Sebille98} $AGL(3,3)$
design of number 8529 with respect to smaller t

6536 6-(27,11,9198) (complement has $\lambda=11151$)
\cite{Sebille98} $AGL(3,3)$
design of number 8536 with respect to smaller t

8546 6-(27,11,9450) (complement has $\lambda=10899$)
design of number 8545 with respect to smaller t

6546 6-(27,11,9576) (complement has $\lambda=10773$)
\cite{Sebille98} $AGL(3,3)$
design of number 8563 with respect to smaller t

6549 6-(27,11,9639) (complement has $\lambda=10710$)
\cite{Sebille98} $AGL(3,3)$
design of number 8565 with respect to smaller t
residual design of number 8824

6555 6-(27,11,9765) (complement has $\lambda=10584$)
\cite{Sebille98} $AGL(3,3)$
design of number 8569 with respect to smaller t

6317 6-(27,11,10017) (complement has $\lambda=10332$)
\cite{Sebille98} $AGL(3,3)$
design of number 8578 with respect to smaller t

6326 6-(27,11,10143) (complement has $\lambda=10206$)
\cite{Sebille98} $AGL(3,3)$
design of number 8585 with respect to smaller t
derived from number 8828

6635 6-(27,12,4368) (complement has $\lambda=49896$)
\cite{Sebille98} $AGL(3,3)$

8591 6-(27,12,6636) (complement has $\lambda=47628$)
design of number 8590 with respect to smaller t

6644 6-(27,12,6804) (complement has $\lambda=47460$)
\cite{Sebille98} $AGL(3,3)$
design of number 8615 with respect to smaller t

6654 6-(27,12,8904) (complement has $\lambda=45360$)
\cite{Sebille98} $AGL(3,3)$
design of number 8627 with respect to smaller t

6664 6-(27,12,9072) (complement has $\lambda=45192$)
\cite{Sebille98} $AGL(3,3)$
design of number 8639 with respect to smaller t
residual design of number 11331

8835 6-(27,12,10080) (complement has $\lambda=44184$)
derived from number 8833

6563 6-(27,12,11172) (complement has $\lambda=43092$)
\cite{Sebille98} $AGL(3,3)$
design of number 8645 with respect to smaller t

6573 6-(27,12,11340) (complement has $\lambda=42924$)
$ASL(3,3)$

6586 6-(27,12,13440) (complement has $\lambda=40824$)
\cite{Sebille98} $AGL(3,3)$
design of number 8657 with respect to smaller t
residual design of number 11332

6596 6-(27,12,13608) (complement has $\lambda=40656$)
\cite{Sebille98} $AGL(3,3)$
design of number 8663 with respect to smaller t
residual design of number 8829

11640 6-(27,12,14952) (complement has $\lambda=39312$)
TvT: 6-(26,11,4272) $\cup$ 6-(26,12,10680)

8853 6-(27,12,15120) (complement has $\lambda=39144$)
derived from number 8852

6602 6-(27,12,15876) (complement has $\lambda=38388$)
\cite{Sebille98} $AGL(3,3)$
design of number 8669 with respect to smaller t

8856 6-(27,12,17640) (complement has $\lambda=36624$)
derived from number 8854

6612 6-(27,12,17976) (complement has $\lambda=36288$)
\cite{Sebille98} $AGL(3,3)$
design of number 8681 with respect to smaller t
residual design of number 8830

6618 6-(27,12,18144) (complement has $\lambda=36120$)
\cite{Sebille98} $AGL(3,3)$
design of number 8687 with respect to smaller t
residual design of number 8831
derived from number 11599

8872 6-(27,12,18984) (complement has $\lambda=35280$)
derived from number 8871

8881 6-(27,12,20160) (complement has $\lambda=34104$)
derived from number 8880

8694 6-(27,12,20412) (complement has $\lambda=33852$)
design of number 8693 with respect to smaller t

8896 6-(27,12,21504) (complement has $\lambda=32760$)
derived from number 8895
design of number 11560 with respect to smaller t
residual design of number 11561

8719 6-(27,12,22512) (complement has $\lambda=31752$)
design of number 8718 with respect to smaller t
residual design of number 11333

6624 6-(27,12,22680) (complement has $\lambda=31584$)
\cite{Sebille98} $AGL(3,3)$
design of number 8729 with respect to smaller t
residual design of number 8832
derived from number 8904

11558 6-(27,12,23688) (complement has $\lambda=30576$)
TvT: 6-(26,11,6768) $\cup$ 6-(26,12,16920)

6629 6-(27,12,24024) (complement has $\lambda=30240$)
TvT: 6-(26,11,6864) $\cup$ 6-(26,12,17160)
derived from number 8911
design of number 11549 with respect to smaller t
residual design of number 11550

8736 6-(27,12,24780) (complement has $\lambda=29484$)
design of number 8735 with respect to smaller t

8760 6-(27,12,24948) (complement has $\lambda=29316$)
design of number 8759 with respect to smaller t

8913 6-(27,12,25200) (complement has $\lambda=29064$)
derived from number 8912

6631 6-(27,12,26544) (complement has $\lambda=27720$)
TvT: 6-(26,11,7584) $\cup$ 6-(26,12,18960)
derived from number 8924

6634 6-(27,12,27048) (complement has $\lambda=27216$)
\cite{Sebille98} $AGL(3,3)$
design of number 8775 with respect to smaller t
residual design of number 8828
derived from number 8925

6674 6-(27,13,8640) (complement has $\lambda=107640$)
$ASL(3,3)$
derived from number 6680

6694 6-(27,13,18360) (complement has $\lambda=97920$)
$ASL(3,3)$
derived from number 6700

8836 6-(27,13,21600) (complement has $\lambda=94680$)
residual design of number 8833
derived from number 8843

8928 6-(27,13,23040) (complement has $\lambda=93240$)
derived from number 8926

6714 6-(27,13,28080) (complement has $\lambda=88200$)
$ASL(3,3)$
derived from number 6720

6734 6-(27,13,29700) (complement has $\lambda=86580$)
$ASL(3,3)$
derived from number 6740

8948 6-(27,13,30240) (complement has $\lambda=86040$)
derived from number 8946

6754 6-(27,13,30420) (complement has $\lambda=85860$)
\cite{Sebille98} $AGL(3,3)$
derived from number 6760
design of number 8776 with respect to smaller t

8968 6-(27,13,32040) (complement has $\lambda=84240$)
derived from number 8966
design of number 10520 with respect to smaller t

6770 6-(27,13,32400) (complement has $\lambda=83880$)
$ASL(3,3)$
derived from number 6775
residual design of number 8852
design of number 10552 with respect to smaller t

8987 6-(27,13,32760) (complement has $\lambda=83520$)
derived from number 8985

9007 6-(27,13,35280) (complement has $\lambda=81000$)
derived from number 9005

9017 6-(27,13,35640) (complement has $\lambda=80640$)
derived from number 9015

8857 6-(27,13,37800) (complement has $\lambda=78480$)
residual design of number 8854
derived from number 8863

9027 6-(27,13,38160) (complement has $\lambda=78120$)
derived from number 9025

11586 6-(27,13,38880) (complement has $\lambda=77400$)
TvT: 6-(26,12,12960) $\cup$ 6-(26,13,25920)
derived from number 11589
design of number 11594 with respect to smaller t
residual design of number 11599

6780 6-(27,13,39420) (complement has $\lambda=76860$)
$ASL(3,3)$
derived from number 6786

9047 6-(27,13,40320) (complement has $\lambda=75960$)
derived from number 9045

8873 6-(27,13,40680) (complement has $\lambda=75600$)
residual design of number 8871
derived from number 8877

9067 6-(27,13,42840) (complement has $\lambda=73440$)
derived from number 9065

8882 6-(27,13,43200) (complement has $\lambda=73080$)
residual design of number 8880
derived from number 8888

6800 6-(27,13,44460) (complement has $\lambda=71820$)
\cite{Sebille98} $AGL(3,3)$
derived from number 6806
design of number 8789 with respect to smaller t

9081 6-(27,13,45720) (complement has $\lambda=70560$)
derived from number 9079

8897 6-(27,13,46080) (complement has $\lambda=70200$)
residual design of number 8895
derived from number 8901
design of number 10584 with respect to smaller t

9101 6-(27,13,48240) (complement has $\lambda=68040$)
derived from number 9099

8905 6-(27,13,48600) (complement has $\lambda=67680$)
residual design of number 8904
derived from number 8908

9107 6-(27,13,50760) (complement has $\lambda=65520$)
derived from number 9105
design of number 10605 with respect to smaller t

6816 6-(27,13,51480) (complement has $\lambda=64800$)
TvT: 6-(26,12,17160) $\cup$ 6-(26,13,34320)
derived from number 6820
\cite{Sebille98} $AGL(3,3)$
design of number 8803 with respect to smaller t
residual design of number 8911

9126 6-(27,13,52920) (complement has $\lambda=63360$)
derived from number 9124

9142 6-(27,13,53280) (complement has $\lambda=63000$)
derived from number 9140

11282 6-(27,13,53460) (complement has $\lambda=62820$)
TvT: 6-(26,12,17820) $\cup$ 6-(26,13,35640)
derived from number 11285

8914 6-(27,13,54000) (complement has $\lambda=62280$)
residual design of number 8912
derived from number 8919

9162 6-(27,13,55440) (complement has $\lambda=60840$)
derived from number 9160

9168 6-(27,13,55800) (complement has $\lambda=60480$)
derived from number 9166

6825 6-(27,13,56880) (complement has $\lambda=59400$)
TvT: 6-(26,12,18960) $\cup$ 6-(26,13,37920)
derived from number 6828
residual design of number 8924

101 6-(27,13,57960) (complement has $\lambda=58320$)
$Sp(6,2)_1$
derived from number 107
design of number 8808 with respect to smaller t
residual design of number 8925

6675 6-(27,14,15120) (complement has $\lambda=188370$)
supplementary design of number 6674
residual design of number 6680

6695 6-(27,14,32130) (complement has $\lambda=171360$)
supplementary design of number 6694
residual design of number 6700

8840 6-(27,14,37800) (complement has $\lambda=165690$)
supplementary design of number 8836
residual design of number 8843

8929 6-(27,14,40320) (complement has $\lambda=163170$)
residual design of number 8926
supplementary design of number 8928

6715 6-(27,14,49140) (complement has $\lambda=154350$)
supplementary design of number 6714
residual design of number 6720

6735 6-(27,14,51975) (complement has $\lambda=151515$)
supplementary design of number 6734
residual design of number 6740

8949 6-(27,14,52920) (complement has $\lambda=150570$)
residual design of number 8946
supplementary design of number 8948

6755 6-(27,14,53235) (complement has $\lambda=150255$)
supplementary design of number 6754
residual design of number 6760
design of number 8777 with respect to smaller t

8969 6-(27,14,56070) (complement has $\lambda=147420$)
residual design of number 8966
supplementary design of number 8968
design of number 10525 with respect to smaller t

6771 6-(27,14,56700) (complement has $\lambda=146790$)
supplementary design of number 6770
residual design of number 6775
design of number 10557 with respect to smaller t

8988 6-(27,14,57330) (complement has $\lambda=146160$)
residual design of number 8985
supplementary design of number 8987

9008 6-(27,14,61740) (complement has $\lambda=141750$)
residual design of number 9005
supplementary design of number 9007

9018 6-(27,14,62370) (complement has $\lambda=141120$)
residual design of number 9015
supplementary design of number 9017

8860 6-(27,14,66150) (complement has $\lambda=137340$)
supplementary design of number 8857
residual design of number 8863

9028 6-(27,14,66780) (complement has $\lambda=136710$)
residual design of number 9025
supplementary design of number 9027

11587 6-(27,14,68040) (complement has $\lambda=135450$)
supplementary design of number 11586
residual design of number 11589
design of number 11595 with respect to smaller t

6781 6-(27,14,68985) (complement has $\lambda=134505$)
supplementary design of number 6780
residual design of number 6786

9048 6-(27,14,70560) (complement has $\lambda=132930$)
residual design of number 9045
supplementary design of number 9047

8875 6-(27,14,71190) (complement has $\lambda=132300$)
supplementary design of number 8873
residual design of number 8877

9068 6-(27,14,74970) (complement has $\lambda=128520$)
residual design of number 9065
supplementary design of number 9067

8885 6-(27,14,75600) (complement has $\lambda=127890$)
supplementary design of number 8882
residual design of number 8888

6801 6-(27,14,77805) (complement has $\lambda=125685$)
supplementary design of number 6800
residual design of number 6806
design of number 8790 with respect to smaller t

9082 6-(27,14,80010) (complement has $\lambda=123480$)
residual design of number 9079
supplementary design of number 9081

8899 6-(27,14,80640) (complement has $\lambda=122850$)
supplementary design of number 8897
residual design of number 8901
design of number 10589 with respect to smaller t

9102 6-(27,14,84420) (complement has $\lambda=119070$)
residual design of number 9099
supplementary design of number 9101

8906 6-(27,14,85050) (complement has $\lambda=118440$)
supplementary design of number 8905
residual design of number 8908

9108 6-(27,14,88830) (complement has $\lambda=114660$)
residual design of number 9105
supplementary design of number 9107
design of number 10610 with respect to smaller t

6817 6-(27,14,90090) (complement has $\lambda=113400$)
supplementary design of number 6816
residual design of number 6820
design of number 8804 with respect to smaller t

9127 6-(27,14,92610) (complement has $\lambda=110880$)
residual design of number 9124
supplementary design of number 9126

9143 6-(27,14,93240) (complement has $\lambda=110250$)
residual design of number 9140
supplementary design of number 9142

11283 6-(27,14,93555) (complement has $\lambda=109935$)
supplementary design of number 11282
residual design of number 11285

8916 6-(27,14,94500) (complement has $\lambda=108990$)
supplementary design of number 8914
residual design of number 8919

9163 6-(27,14,97020) (complement has $\lambda=106470$)
residual design of number 9160
supplementary design of number 9162

9169 6-(27,14,97650) (complement has $\lambda=105840$)
residual design of number 9166
supplementary design of number 9168

6826 6-(27,14,99540) (complement has $\lambda=103950$)
supplementary design of number 6825
residual design of number 6828

102 6-(27,14,101430) (complement has $\lambda=102060$)
supplementary design of number 101
residual design of number 107
design of number 8809 with respect to smaller t

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}

8009 7-(27,10,240) (complement has $\lambda=900$)
$P\Gamma L(2,25)+$ \cite{Bettenetal97b}

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

8025 7-(27,11,675) (complement has $\lambda=4170$)
$ASL(3,3)$ 24 isomorphism types

8045 7-(27,11,765) (complement has $\lambda=4080$)
$ASL(3,3)$ 189 isomorphism types

8057 7-(27,11,810) (complement has $\lambda=4035$)
$ASL(3,3)$ 1188 isomorphism types

8073 7-(27,11,840) (complement has $\lambda=4005$)
$ASL(3,3)$

8092 7-(27,11,900) (complement has $\lambda=3945$)
$ASL(3,3)$

8112 7-(27,11,930) (complement has $\lambda=3915$)
$ASL(3,3)$

8131 7-(27,11,945) (complement has $\lambda=3900$)
$ASL(3,3)$

8151 7-(27,11,1035) (complement has $\lambda=3810$)
$ASL(3,3)$

8171 7-(27,11,1080) (complement has $\lambda=3765$)
$ASL(3,3)$

8181 7-(27,11,1110) (complement has $\lambda=3735$)
$ASL(3,3)$

8201 7-(27,11,1170) (complement has $\lambda=3675$)
$ASL(3,3)$

8220 7-(27,11,1200) (complement has $\lambda=3645$)
$ASL(3,3)$

8236 7-(27,11,1215) (complement has $\lambda=3630$)
\cite{Sebille98} $AGL(3,3)$

8246 7-(27,11,1305) (complement has $\lambda=3540$)
\cite{Sebille98} $AGL(3,3)$

8256 7-(27,11,1335) (complement has $\lambda=3510$)
$ASL(3,3)$

8275 7-(27,11,1350) (complement has $\lambda=3495$)
\cite{Sebille98} $AGL(3,3)$

8284 7-(27,11,1380) (complement has $\lambda=3465$)
$ASL(3,3)$

8298 7-(27,11,1440) (complement has $\lambda=3405$)
\cite{Sebille98} $AGL(3,3)$

8305 7-(27,11,1470) (complement has $\lambda=3375$)
\cite{Sebille98} $AGL(3,3)$

8309 7-(27,11,1485) (complement has $\lambda=3360$)
\cite{Sebille98} $AGL(3,3)$

8317 7-(27,11,1515) (complement has $\lambda=3330$)
$ASL(3,3)$

8337 7-(27,11,1575) (complement has $\lambda=3270$)
\cite{Sebille98} $AGL(3,3)$

8346 7-(27,11,1605) (complement has $\lambda=3240$)
\cite{Sebille98} $AGL(3,3)$

8355 7-(27,11,1620) (complement has $\lambda=3225$)
\cite{Sebille98} $AGL(3,3)$

8362 7-(27,11,1650) (complement has $\lambda=3195$)
$ASL(3,3)$

8376 7-(27,11,1710) (complement has $\lambda=3135$)
\cite{Sebille98} $AGL(3,3)$

8378 7-(27,11,1740) (complement has $\lambda=3105$)
\cite{Sebille98} $AGL(3,3)$

8388 7-(27,11,1755) (complement has $\lambda=3090$)
$ASL(3,3)$

8407 7-(27,11,1785) (complement has $\lambda=3060$)
\cite{Sebille98} $AGL(3,3)$

8414 7-(27,11,1845) (complement has $\lambda=3000$)
\cite{Sebille98} $AGL(3,3)$

8423 7-(27,11,1875) (complement has $\lambda=2970$)
$ASL(3,3)$

8437 7-(27,11,1890) (complement has $\lambda=2955$)
$ASL(3,3)$

8457 7-(27,11,1920) (complement has $\lambda=2925$)
\cite{Sebille98} $AGL(3,3)$

8461 7-(27,11,1980) (complement has $\lambda=2865$)
\cite{Sebille98} $AGL(3,3)$

8469 7-(27,11,2010) (complement has $\lambda=2835$)
$ASL(3,3)$

8487 7-(27,11,2025) (complement has $\lambda=2820$)
\cite{Sebille98} $AGL(3,3)$

8496 7-(27,11,2055) (complement has $\lambda=2790$)
\cite{Sebille98} $AGL(3,3)$

8506 7-(27,11,2115) (complement has $\lambda=2730$)
$ASL(3,3)$

8525 7-(27,11,2145) (complement has $\lambda=2700$)
\cite{Sebille98} $AGL(3,3)$

8529 7-(27,11,2160) (complement has $\lambda=2685$)
\cite{Sebille98} $AGL(3,3)$
design of number 10485 with respect to smaller t

8536 7-(27,11,2190) (complement has $\lambda=2655$)
\cite{Sebille98} $AGL(3,3)$

8545 7-(27,11,2250) (complement has $\lambda=2595$)
$ASL(3,3)$

8563 7-(27,11,2280) (complement has $\lambda=2565$)
\cite{Sebille98} $AGL(3,3)$

8565 7-(27,11,2295) (complement has $\lambda=2550$)
\cite{Sebille98} $AGL(3,3)$

8569 7-(27,11,2325) (complement has $\lambda=2520$)
\cite{Sebille98} $AGL(3,3)$

8578 7-(27,11,2385) (complement has $\lambda=2460$)
\cite{Sebille98} $AGL(3,3)$

8585 7-(27,11,2415) (complement has $\lambda=2430$)
\cite{Sebille98} $AGL(3,3)$

8590 7-(27,12,1896) (complement has $\lambda=13608$)
$ASL(3,3)$ 632 isomorphism types

8615 7-(27,12,1944) (complement has $\lambda=13560$)
$ASL(3,3)$ 1782 isomorphism types

8627 7-(27,12,2544) (complement has $\lambda=12960$)
\cite{Sebille98} $AGL(3,3)$ 1 isomorphism type

8639 7-(27,12,2592) (complement has $\lambda=12912$)
\cite{Sebille98} $AGL(3,3)$ 33 isomorphism types

8645 7-(27,12,3192) (complement has $\lambda=12312$)
\cite{Sebille98} $AGL(3,3)$

8657 7-(27,12,3840) (complement has $\lambda=11664$)
\cite{Sebille98} $AGL(3,3)$

8663 7-(27,12,3888) (complement has $\lambda=11616$)
\cite{Sebille98} $AGL(3,3)$

8669 7-(27,12,4536) (complement has $\lambda=10968$)
\cite{Sebille98} $AGL(3,3)$

8681 7-(27,12,5136) (complement has $\lambda=10368$)
\cite{Sebille98} $AGL(3,3)$

8687 7-(27,12,5184) (complement has $\lambda=10320$)
\cite{Sebille98} $AGL(3,3)$
design of number 10498 with respect to smaller t

8693 7-(27,12,5832) (complement has $\lambda=9672$)
$ASL(3,3)$

11560 7-(27,12,6144) (complement has $\lambda=9360$)
TvT: 7-(26,11,1536) $\cup$ 7-(26,12,4608)

8718 7-(27,12,6432) (complement has $\lambda=9072$)
\cite{Sebille98} $AGL(3,3)$

8729 7-(27,12,6480) (complement has $\lambda=9024$)
\cite{Sebille98} $AGL(3,3)$ many isomorphism types

11549 7-(27,12,6864) (complement has $\lambda=8640$)
TvT: 7-(26,11,1716) $\cup$ 7-(26,12,5148)

8735 7-(27,12,7080) (complement has $\lambda=8424$)
$ASL(3,3)$

8759 7-(27,12,7128) (complement has $\lambda=8376$)
$ASL(3,3)$

8775 7-(27,12,7728) (complement has $\lambda=7776$)
\cite{Sebille98} $AGL(3,3)$
design of number 10515 with respect to smaller t

8776 7-(27,13,10140) (complement has $\lambda=28620$)
\cite{Sebille98} $AGL(3,3)$

10520 7-(27,13,10680) (complement has $\lambda=28080$)
design of number 10518 with respect to smaller t
derived from number 10523

10552 7-(27,13,10800) (complement has $\lambda=27960$)
design of number 10550 with respect to smaller t
derived from number 10555

11594 7-(27,13,12960) (complement has $\lambda=25800$)
TvT: 7-(26,12,3888) $\cup$ 7-(26,13,9072)

8789 7-(27,13,14820) (complement has $\lambda=23940$)
\cite{Sebille98} $AGL(3,3)$

10584 7-(27,13,15360) (complement has $\lambda=23400$)
design of number 10582 with respect to smaller t
derived from number 10587

10605 7-(27,13,16920) (complement has $\lambda=21840$)
design of number 10603 with respect to smaller t
derived from number 10608

8803 7-(27,13,17160) (complement has $\lambda=21600$)
\cite{Sebille98} $AGL(3,3)$
design of number 10635 with respect to smaller t
derived from number 10638

8808 7-(27,13,19320) (complement has $\lambda=19440$)
TvT: 7-(26,12,5796) $\cup$ 7-(26,13,13524)

8777 7-(27,14,20280) (complement has $\lambda=57240$)
supplementary design of number 8776

10525 7-(27,14,21360) (complement has $\lambda=56160$)
design of number 10519 with respect to smaller t
supplementary design of number 10520
residual design of number 10523

10557 7-(27,14,21600) (complement has $\lambda=55920$)
design of number 10551 with respect to smaller t
supplementary design of number 10552
residual design of number 10555

11595 7-(27,14,25920) (complement has $\lambda=51600$)
supplementary design of number 11594

8790 7-(27,14,29640) (complement has $\lambda=47880$)
supplementary design of number 8789

10589 7-(27,14,30720) (complement has $\lambda=46800$)
design of number 10583 with respect to smaller t
supplementary design of number 10584
residual design of number 10587

10610 7-(27,14,33840) (complement has $\lambda=43680$)
design of number 10604 with respect to smaller t
supplementary design of number 10605
residual design of number 10608

8804 7-(27,14,34320) (complement has $\lambda=43200$)
supplementary design of number 8803
design of number 10636 with respect to smaller t
residual design of number 10638

8809 7-(27,14,38640) (complement has $\lambda=38880$)
supplementary design of number 8808

10485 8-(27,11,432) (complement has $\lambda=537$)
$ASL(3,3)$ (1 isom. type)

10498 8-(27,12,1296) (complement has $\lambda=2580$)
$ASL(3,3)$ 8672 solutions 4336 isomorphism types

10515 8-(27,12,1932) (complement has $\lambda=1944$)
$ASL(3,3)$

10518 8-(27,13,3204) (complement has $\lambda=8424$)
$ASL(3,3)$
derived from number 10524

10550 8-(27,13,3240) (complement has $\lambda=8388$)
$ASL(3,3)$
derived from number 10556

10582 8-(27,13,4608) (complement has $\lambda=7020$)
$ASL(3,3)$
derived from number 10588

10603 8-(27,13,5076) (complement has $\lambda=6552$)
$ASL(3,3)$
derived from number 10609

10635 8-(27,13,5148) (complement has $\lambda=6480$)
$ASL(3,3)$
derived from number 10639

10519 8-(27,14,7476) (complement has $\lambda=19656$)
supplementary design of number 10518
residual design of number 10524

10551 8-(27,14,7560) (complement has $\lambda=19572$)
supplementary design of number 10550
residual design of number 10556

10583 8-(27,14,10752) (complement has $\lambda=16380$)
supplementary design of number 10582
residual design of number 10588

10604 8-(27,14,11844) (complement has $\lambda=15288$)
supplementary design of number 10603
residual design of number 10609

10636 8-(27,14,12012) (complement has $\lambda=15120$)
supplementary design of number 10635
residual design of number 10639


on 28 points:


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}

4342 5-(28,6,3) (complement has $\lambda=20$)
$PSL(2,27)$ \cite{KreherRadziszowski87a}

4346 5-(28,6,4) (complement has $\lambda=19$)
$PSL(2,27)$ \cite{KreherRadziszowski87a}

50 5-(28,6,5) (complement has $\lambda=18$)
$PSU(3,9)$ 5724 isomorphism types
$PSL(2,27)$ \cite{KreherRadziszowski87a}

54 5-(28,6,6) (complement has $\lambda=17$)
$PSU(3,9)$ 5290 isomorphism types
$PSL(2,27)$ \cite{KreherRadziszowski87a}

4350 5-(28,6,7) (complement has $\lambda=16$)
$PSL(2,27)$ \cite{KreherRadziszowski87a}

58 5-(28,6,8) (complement has $\lambda=15$)
$PSU(3,9)$ many isomorphism types
$PSL(2,27)$ \cite{KreherRadziszowski87a}

62 5-(28,6,9) (complement has $\lambda=14$)
$PSU(3,9)$ many isomorphism types
$PSL(2,27)$ \cite{KreherRadziszowski87a}

4334 5-(28,6,10) (complement has $\lambda=13$)
$PSL(2,27)$ \cite{KreherRadziszowski87a}

66 5-(28,6,11) (complement has $\lambda=12$)
$PSU(3,9)$ many isomorphism types
$PSL(2,27)$ \cite{KreherRadziszowski87a}

4354 5-(28,7,1) (complement has $\lambda=252$)
Steiner system ! $PGL(2,27)$ (1 isom. type) \cite{Denniston76}

4389 5-(28,7,7) (complement has $\lambda=246$)
$PSL(2,27)$ (2 isom. types)

4393 5-(28,7,8) (complement has $\lambda=245$)
$PSL(2,27)$ (2 isom. types)

4362 5-(28,7,15) (complement has $\lambda=238$)
$PSL(2,27)$ (>=1 isom. types)

4366 5-(28,7,22) (complement has $\lambda=231$)
$PSL(2,27)$ (>=1 isom. types)

4369 5-(28,7,28) (complement has $\lambda=225$)
$PSL(2,27)$ (>=1 isom. types)

4373 5-(28,7,29) (complement has $\lambda=224$)
$PSL(2,27)$ (>=1 isom. types)

4377 5-(28,7,35) (complement has $\lambda=218$)
$PSL(2,27)$ (>=1 isom. types)

4381 5-(28,7,36) (complement has $\lambda=217$)
$PSL(2,27)$ (>=1 isom. types)
derived from number 7203

7208 5-(28,7,42) (complement has $\lambda=211$)
derived from number 7206

4385 5-(28,7,43) (complement has $\lambda=210$)
$PSL(2,27)$ (>=1 isom. types)
derived from number 7216

13 5-(28,7,46) (complement has $\lambda=207$)
TvT: 5-(27,6,4) $\cup$ 5-(27,7,42)

7221 5-(28,7,49) (complement has $\lambda=204$)
derived from number 7219

7231 5-(28,7,57) (complement has $\lambda=196$)
derived from number 7229

7241 5-(28,7,63) (complement has $\lambda=190$)
derived from number 7239

7250 5-(28,7,64) (complement has $\lambda=189$)
derived from number 7249

29 5-(28,7,69) (complement has $\lambda=184$)
derived from number 28
design of number 44 with respect to smaller t

7256 5-(28,7,70) (complement has $\lambda=183$)
derived from number 7254

7266 5-(28,7,78) (complement has $\lambda=175$)
derived from number 7264

7276 5-(28,7,84) (complement has $\lambda=169$)
derived from number 7274

7286 5-(28,7,85) (complement has $\lambda=168$)
derived from number 7284

7292 5-(28,7,91) (complement has $\lambda=162$)
derived from number 7290

4397 5-(28,7,93) (complement has $\lambda=160$)
$S_8^{[2]}$ (1 isom. type)
derived from number 10657

7302 5-(28,7,99) (complement has $\lambda=154$)
derived from number 7300

10650 5-(28,7,100) (complement has $\lambda=153$)
derived from number 10647

7165 5-(28,7,105) (complement has $\lambda=148$)
derived from number 7163

7174 5-(28,7,106) (complement has $\lambda=147$)
derived from number 7172

7184 5-(28,7,112) (complement has $\lambda=141$)
derived from number 7182

7193 5-(28,7,120) (complement has $\lambda=133$)
derived from number 7191

4358 5-(28,7,126) (complement has $\lambda=127$)
$PSL(2,27)$ (many isom. types)
derived from number 7197

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

7309 5-(28,8,105) (complement has $\lambda=1666$)
derived from number 7307

7316 5-(28,8,126) (complement has $\lambda=1645$)
derived from number 7314

7326 5-(28,8,154) (complement has $\lambda=1617$)
derived from number 7324

7204 5-(28,8,252) (complement has $\lambda=1519$)
residual design of number 7203
derived from number 7331

7209 5-(28,8,294) (complement has $\lambda=1477$)
residual design of number 7206
derived from number 7337

7217 5-(28,8,301) (complement has $\lambda=1470$)
residual design of number 7216

4401 5-(28,8,322) (complement has $\lambda=1449$)
Bluskov
design of number 7045 with respect to smaller t
derived from number 7343

7222 5-(28,8,343) (complement has $\lambda=1428$)
residual design of number 7219

7232 5-(28,8,399) (complement has $\lambda=1372$)
residual design of number 7229

7350 5-(28,8,406) (complement has $\lambda=1365$)
derived from number 7348

7242 5-(28,8,441) (complement has $\lambda=1330$)
residual design of number 7239

7251 5-(28,8,448) (complement has $\lambda=1323$)
residual design of number 7249
derived from number 7358

4403 5-(28,8,455) (complement has $\lambda=1316$)
$A_8^{[2]}$ (>=1 isom. types)

7363 5-(28,8,469) (complement has $\lambda=1302$)
derived from number 7361

4407 5-(28,8,476) (complement has $\lambda=1295$)
$A_8^{[2]}$ (>=1 isom. 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

7257 5-(28,8,490) (complement has $\lambda=1281$)
residual design of number 7254

7374 5-(28,8,504) (complement has $\lambda=1267$)
derived from number 7372

4411 5-(28,8,511) (complement has $\lambda=1260$)
$A_8^{[2]}$ (>=1 isom. types)

7380 5-(28,8,532) (complement has $\lambda=1239$)
derived from number 7378

7267 5-(28,8,546) (complement has $\lambda=1225$)
residual design of number 7264

4418 5-(28,8,560) (complement has $\lambda=1211$)
$A_8^{[2]}$ (>=1 isom. types)

7277 5-(28,8,588) (complement has $\lambda=1183$)
residual design of number 7274

4422 5-(28,8,595) (complement has $\lambda=1176$)
$A_8^{[2]}$ (>=1 isom. types)
residual design of number 7284
derived from number 7384

4426 5-(28,8,616) (complement has $\lambda=1155$)
$A_8^{[2]}$ (>=1 isom. types)

7387 5-(28,8,630) (complement has $\lambda=1141$)
derived from number 7385

7293 5-(28,8,637) (complement has $\lambda=1134$)
residual design of number 7290

4430 5-(28,8,644) (complement has $\lambda=1127$)
Bluskov
design of number 7053 with respect to smaller t

10660 5-(28,8,651) (complement has $\lambda=1120$)
residual design of number 10657
derived from number 10658

7397 5-(28,8,672) (complement has $\lambda=1099$)
derived from number 7395

7303 5-(28,8,693) (complement has $\lambda=1078$)
residual design of number 7300
derived from number 7401

4434 5-(28,8,700) (complement has $\lambda=1071$)
$A_8^{[2]}$ (>=1 isom. types)
residual design of number 10647
derived from number 10648

7166 5-(28,8,735) (complement has $\lambda=1036$)
residual design of number 7163
derived from number 7407

7175 5-(28,8,742) (complement has $\lambda=1029$)
residual design of number 7172

4438 5-(28,8,756) (complement has $\lambda=1015$)
$A_8^{[2]}$ (>=1 isom. types)
derived from number 7410

7185 5-(28,8,784) (complement has $\lambda=987$)
residual design of number 7182
derived from number 7411

4442 5-(28,8,791) (complement has $\lambda=980$)
$S_8^{[2]}$ (>=1 isom. types)

7416 5-(28,8,798) (complement has $\lambda=973$)
derived from number 7414

4446 5-(28,8,805) (complement has $\lambda=966$)
Bluskov
design of number 7039 with respect to smaller t

7426 5-(28,8,819) (complement has $\lambda=952$)
derived from number 7424

7432 5-(28,8,826) (complement has $\lambda=945$)
derived from number 7430

4450 5-(28,8,840) (complement has $\lambda=931$)
$S_8^{[2]}$ (>=1 isom. types)
residual design of number 7191
derived from number 7440

7448 5-(28,8,861) (complement has $\lambda=910$)
derived from number 7446

4454 5-(28,8,875) (complement has $\lambda=896$)
$S_8^{[2]}$ (>=1 isom. types)

7199 5-(28,8,882) (complement has $\lambda=889$)
residual design of number 7197
derived from number 7452

7310 5-(28,9,525) (complement has $\lambda=8330$)
residual design of number 7307

7317 5-(28,9,630) (complement has $\lambda=8225$)
residual design of number 7314

7327 5-(28,9,770) (complement has $\lambda=8085$)
residual design of number 7324

7333 5-(28,9,1260) (complement has $\lambda=7595$)
residual design of number 7331

7339 5-(28,9,1470) (complement has $\lambda=7385$)
residual design of number 7337

4458 5-(28,9,1575) (complement has $\lambda=7280$)
$Sp(6,2)$ (1 isom. type)

7345 5-(28,9,1610) (complement has $\lambda=7245$)
residual design of number 7343

7351 5-(28,9,2030) (complement has $\lambda=6825$)
residual design of number 7348

4462 5-(28,9,2100) (complement has $\lambda=6755$)
$Sp(6,2)$ (2 isom. types)

4466 5-(28,9,2240) (complement has $\lambda=6615$)
$Sp(6,2)$ (2 isom. types)
residual design of number 7358

7364 5-(28,9,2345) (complement has $\lambda=6510$)
residual design of number 7361

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

4472 5-(28,9,2520) (complement has $\lambda=6335$)
$Sp(6,2)$ (5 isom. types)
residual design of number 7372

4476 5-(28,9,2555) (complement has $\lambda=6300$)
$Sp(6,2)$ (3 isom. types)

4479 5-(28,9,2660) (complement has $\lambda=6195$)
$Sp(6,2)$ (7 isom. types)
residual design of number 7378

4483 5-(28,9,2835) (complement has $\lambda=6020$)
$Sp(6,2)$ (11 isom. types)

4487 5-(28,9,2975) (complement has $\lambda=5880$)
$Sp(6,2)$ (8 isom. types)
residual design of number 7384

7388 5-(28,9,3150) (complement has $\lambda=5705$)
residual design of number 7385

10661 5-(28,9,3255) (complement has $\lambda=5600$)
residual design of number 10658
derived from number 10659

4490 5-(28,9,3360) (complement has $\lambda=5495$)
$Sp(6,2)$ (10 isom. types)
residual design of number 7395

7403 5-(28,9,3465) (complement has $\lambda=5390$)
residual design of number 7401

4494 5-(28,9,3500) (complement has $\lambda=5355$)
$Sp(6,2)$ (20 isom. types)
residual design of number 10648
derived from number 10649

4497 5-(28,9,3675) (complement has $\lambda=5180$)
$Sp(6,2)$ (11 isom. types)
residual design of number 7407

4501 5-(28,9,3780) (complement has $\lambda=5075$)
$Sp(6,2)$ (25 isom. types)
residual design of number 7410

4504 5-(28,9,3815) (complement has $\lambda=5040$)
$Sp(6,2)$ (18 isom. types)

4508 5-(28,9,3920) (complement has $\lambda=4935$)
$Sp(6,2)$ (28 isom. types)
residual design of number 7411

7417 5-(28,9,3990) (complement has $\lambda=4865$)
residual design of number 7414

4512 5-(28,9,4095) (complement has $\lambda=4760$)
$Sp(6,2)$ (24 isom. types)
derived from number 7059
residual design of number 7424

7433 5-(28,9,4130) (complement has $\lambda=4725$)
residual design of number 7430

7442 5-(28,9,4200) (complement has $\lambda=4655$)
residual design of number 7440

4516 5-(28,9,4235) (complement has $\lambda=4620$)
$Sp(6,2)$ (20 isom. types)

7067 5-(28,9,4305) (complement has $\lambda=4550$)
derived from number 7065
residual design of number 7446

7454 5-(28,9,4410) (complement has $\lambda=4445$)
residual design of number 7452

4149 5-(28,10,2149) (complement has $\lambda=31500$)
\cite{Sebille98} $Sp(6,2)$ 1 isomorphism type

4153 5-(28,10,2940) (complement has $\lambda=30709$)
\cite{Sebille98} $Sp(6,2)$ 1-3 isomorphism types

4157 5-(28,10,2989) (complement has $\lambda=30660$)
\cite{Sebille98} $Sp(6,2)$ 1 isomorphism type

6994 5-(28,10,4186) (complement has $\lambda=29463$)
design of number 6993 with respect to smaller t

4161 5-(28,10,5040) (complement has $\lambda=28609$)
\cite{Sebille98} $Sp(6,2)$ 129 isomorphism types

11356 5-(28,10,5313) (complement has $\lambda=28336$)
TvT: 5-(27,9,1155) $\cup$ 5-(27,10,4158)

6833 5-(28,10,5635) (complement has $\lambda=28014$)
design of number 6832 with respect to smaller t

4165 5-(28,10,6720) (complement has $\lambda=26929$)
\cite{Sebille98} $Sp(6,2)$ 412 isomorphism types

4146 5-(28,10,7084) (complement has $\lambda=26565$)
TvT: 5-(27,9,1540) $\cup$ 5-(27,10,5544)
design of number 4189 with respect to smaller t

4169 5-(28,10,7560) (complement has $\lambda=26089$)
\cite{Sebille98} $Sp(6,2)$ 810 isomorphism types

6843 5-(28,10,8694) (complement has $\lambda=24955$)
design of number 6842 with respect to smaller t

9184 5-(28,10,9177) (complement has $\lambda=24472$)
residual design of number 9181
design of number 9183 with respect to smaller t

9195 5-(28,10,9798) (complement has $\lambda=23851$)
derived from number 9191
design of number 9192 with respect to smaller t

6853 5-(28,10,9982) (complement has $\lambda=23667$)
design of number 6852 with respect to smaller t

4173 5-(28,10,10080) (complement has $\lambda=23569$)
\cite{Sebille98} $Sp(6,2)$ <= 5359 isomorphism types

6863 5-(28,10,10143) (complement has $\lambda=23506$)
design of number 6862 with respect to smaller t

6873 5-(28,10,11592) (complement has $\lambda=22057$)
design of number 6872 with respect to smaller t

4177 5-(28,10,11760) (complement has $\lambda=21889$)
\cite{Sebille98} $Sp(6,2)$ <= 7037 isomorphism types

6883 5-(28,10,11914) (complement has $\lambda=21735$)
design of number 6882 with respect to smaller t

10662 5-(28,10,12369) (complement has $\lambda=21280$)
residual design of number 10659

4144 5-(28,10,12397) (complement has $\lambda=21252$)
TvT: 5-(27,9,2695) $\cup$ 5-(27,10,9702)
design of number 6892 with respect to smaller t
derived from number 7075

4181 5-(28,10,12600) (complement has $\lambda=21049$)
\cite{Sebille98} $Sp(6,2)$ <= 15643 isomorphism types

6894 5-(28,10,12880) (complement has $\lambda=20769$)
design of number 6893 with respect to smaller t

4185 5-(28,10,13069) (complement has $\lambda=20580$)
\cite{Sebille98} $Sp(6,2)$ <= 17036 isomorphism types

10651 5-(28,10,13300) (complement has $\lambda=20349$)
residual design of number 10649

6904 5-(28,10,13363) (complement has $\lambda=20286$)
design of number 6903 with respect to smaller t

6914 5-(28,10,13524) (complement has $\lambda=20125$)
design of number 6913 with respect to smaller t

6924 5-(28,10,14329) (complement has $\lambda=19320$)
design of number 6923 with respect to smaller t

6934 5-(28,10,14490) (complement has $\lambda=19159$)
design of number 6933 with respect to smaller t

6944 5-(28,10,14812) (complement has $\lambda=18837$)
design of number 6943 with respect to smaller t

6954 5-(28,10,14973) (complement has $\lambda=18676$)
design of number 6953 with respect to smaller t

7061 5-(28,10,15561) (complement has $\lambda=18088$)
residual design of number 7059

6964 5-(28,10,15778) (complement has $\lambda=17871$)
design of number 6963 with respect to smaller t

8820 5-(28,10,15939) (complement has $\lambda=17710$)
design of number 8818 with respect to smaller t
derived from number 9211

6974 5-(28,10,16261) (complement has $\lambda=17388$)
design of number 6973 with respect to smaller t

7068 5-(28,10,16359) (complement has $\lambda=17290$)
residual design of number 7065

6984 5-(28,10,16422) (complement has $\lambda=17227$)
design of number 6983 with respect to smaller t

11229 5-(28,11,15939) (complement has $\lambda=85008$)
TvT: 5-(27,10,4158) $\cup$ 5-(27,11,11781)
design of number 11288 with respect to smaller t

9196 5-(28,11,29394) (complement has $\lambda=71553$)
residual design of number 9191
design of number 9193 with respect to smaller t

4205 5-(28,11,37191) (complement has $\lambda=63756$)
TvT: 5-(27,10,9702) $\cup$ 5-(27,11,27489)
design of number 7003 with respect to smaller t
residual design of number 7075

8826 5-(28,11,47817) (complement has $\lambda=53130$)
design of number 8825 with respect to smaller t
residual design of number 9211

11231 5-(28,12,38709) (complement has $\lambda=206448$)
TvT: 5-(27,11,11781) $\cup$ 5-(27,12,26928)

11232 5-(28,12,40986) (complement has $\lambda=204171$)
TvT: 5-(27,11,12474) $\cup$ 5-(27,12,28512)
design of number 11289 with respect to smaller t

11233 5-(28,12,45540) (complement has $\lambda=199617$)
TvT: 5-(27,11,13860) $\cup$ 5-(27,12,31680)
design of number 11290 with respect to smaller t
derived from number 11297

11234 5-(28,12,59202) (complement has $\lambda=185955$)
TvT: 5-(27,11,18018) $\cup$ 5-(27,12,41184)

11292 5-(28,12,60720) (complement has $\lambda=184437$)
design of number 11291 with respect to smaller t
TvT: 5-(27,11,18480) $\cup$ 5-(27,12,42240)

4226 5-(28,12,61479) (complement has $\lambda=183678$)
TvT: 5-(27,11,18711) $\cup$ 5-(27,12,42768)
design of number 7004 with respect to smaller t

11635 5-(28,12,67551) (complement has $\lambda=177606$)
TvT: 5-(27,11,20559) $\cup$ 5-(27,12,46992)
design of number 11641 with respect to smaller t
derived from number 11643

4230 5-(28,12,68310) (complement has $\lambda=176847$)
TvT: 5-(27,11,20790) $\cup$ 5-(27,12,47520)
design of number 7005 with respect to smaller t
derived from number 7079

11357 5-(28,12,69828) (complement has $\lambda=175329$)
TvT: 5-(27,11,21252) $\cup$ 5-(27,12,48576)

4233 5-(28,12,74382) (complement has $\lambda=170775$)
TvT: 5-(27,11,22638) $\cup$ 5-(27,12,51744)

4236 5-(28,12,75141) (complement has $\lambda=170016$)
TvT: 5-(27,11,22869) $\cup$ 5-(27,12,52272)

4239 5-(28,12,79695) (complement has $\lambda=165462$)
TvT: 5-(27,11,24255) $\cup$ 5-(27,12,55440)
design of number 7006 with respect to smaller t
derived from number 7080

4243 5-(28,12,81213) (complement has $\lambda=163944$)
TvT: 5-(27,11,24717) $\cup$ 5-(27,12,56496)
design of number 7009 with respect to smaller t

4247 5-(28,12,81972) (complement has $\lambda=163185$)
TvT: 5-(27,11,24948) $\cup$ 5-(27,12,57024)
design of number 7010 with respect to smaller t
derived from number 11593

11389 5-(28,12,83490) (complement has $\lambda=161667$)
TvT: 5-(27,11,25410) $\cup$ 5-(27,12,58080)

4251 5-(28,12,86526) (complement has $\lambda=158631$)
TvT: 5-(27,11,26334) $\cup$ 5-(27,12,60192)

4253 5-(28,12,90321) (complement has $\lambda=154836$)
TvT: 5-(27,11,27489) $\cup$ 5-(27,12,62832)

11358 5-(28,12,94875) (complement has $\lambda=150282$)
TvT: 5-(27,11,28875) $\cup$ 5-(27,12,66000)

4255 5-(28,12,97152) (complement has $\lambda=148005$)
TvT: 5-(27,11,29568) $\cup$ 5-(27,12,67584)
design of number 7011 with respect to smaller t
derived from number 7085

4208 5-(28,12,100188) (complement has $\lambda=144969$)
TvT: 5-(27,11,30492) $\cup$ 5-(27,12,69696)

11235 5-(28,12,101706) (complement has $\lambda=143451$)
TvT: 5-(27,11,30954) $\cup$ 5-(27,12,70752)
design of number 11294 with respect to smaller t
derived from number 11373

4211 5-(28,12,102465) (complement has $\lambda=142692$)
TvT: 5-(27,11,31185) $\cup$ 5-(27,12,71280)
design of number 7012 with respect to smaller t
derived from number 7076

11236 5-(28,12,107019) (complement has $\lambda=138138$)
TvT: 5-(27,11,32571) $\cup$ 5-(27,12,74448)
design of number 11559 with respect to smaller t
derived from number 11570

4214 5-(28,12,108537) (complement has $\lambda=136620$)
TvT: 5-(27,11,33033) $\cup$ 5-(27,12,75504)
\cite{Sebille98} $Sp(6,2)$
design of number 7013 with respect to smaller t
derived from number 7077

11523 5-(28,12,109296) (complement has $\lambda=135861$)
TvT: 5-(27,11,33264) $\cup$ 5-(27,12,76032)

11237 5-(28,12,113850) (complement has $\lambda=131307$)
TvT: 5-(27,11,34650) $\cup$ 5-(27,12,79200)
design of number 11295 with respect to smaller t
derived from number 11300

4218 5-(28,12,115368) (complement has $\lambda=129789$)
TvT: 5-(27,11,35112) $\cup$ 5-(27,12,80256)

4220 5-(28,12,117645) (complement has $\lambda=127512$)
TvT: 5-(27,11,35805) $\cup$ 5-(27,12,81840)

4223 5-(28,12,122199) (complement has $\lambda=122958$)
TvT: 5-(27,11,37191) $\cup$ 5-(27,12,85008)
design of number 7014 with respect to smaller t
derived from number 7078

4314 5-(28,13,6072) (complement has $\lambda=484242$)
TvT: 5-(27,12,2112) $\cup$ 5-(27,13,3960)

770 5-(28,13,39468) (complement has $\lambda=450846$)
TvT: 5-(27,12,13728) $\cup$ 5-(27,13,25740)

11123 5-(28,13,43263) (complement has $\lambda=447051$)
TvT: 5-(27,12,15048) $\cup$ 5-(27,13,28215)

11124 5-(28,13,57684) (complement has $\lambda=432630$)
TvT: 5-(27,12,20064) $\cup$ 5-(27,13,37620)

11390 5-(28,13,59961) (complement has $\lambda=430353$)
TvT: 5-(27,12,20856) $\cup$ 5-(27,13,39105)

631 5-(28,13,61479) (complement has $\lambda=428835$)
TvT: 5-(27,12,21384) $\cup$ 5-(27,13,40095)

11359 5-(28,13,77418) (complement has $\lambda=412896$)
TvT: 5-(27,12,26928) $\cup$ 5-(27,13,50490)

4316 5-(28,13,80454) (complement has $\lambda=409860$)
TvT: 5-(27,12,27984) $\cup$ 5-(27,13,52470)

4319 5-(28,13,81972) (complement has $\lambda=408342$)
TvT: 5-(27,12,28512) $\cup$ 5-(27,13,53460)

7154 5-(28,13,91080) (complement has $\lambda=399234$)
derived from number 7152
design of number 8834 with respect to smaller t
residual design of number 11297

4258 5-(28,13,100947) (complement has $\lambda=389367$)
TvT: 5-(27,12,35112) $\cup$ 5-(27,13,65835)

11040 5-(28,13,102465) (complement has $\lambda=387849$)
TvT: 5-(27,12,35640) $\cup$ 5-(27,13,66825)

122 5-(28,13,113850) (complement has $\lambda=376464$)
design of number 121 with respect to smaller t

11238 5-(28,13,118404) (complement has $\lambda=371910$)
TvT: 5-(27,12,41184) $\cup$ 5-(27,13,77220)

4261 5-(28,13,121440) (complement has $\lambda=368874$)
TvT: 5-(27,12,42240) $\cup$ 5-(27,13,79200)

4264 5-(28,13,122958) (complement has $\lambda=367356$)
TvT: 5-(27,12,42768) $\cup$ 5-(27,13,80190)

11636 5-(28,13,135102) (complement has $\lambda=355212$)
TvT: 5-(27,12,46992) $\cup$ 5-(27,13,88110)
design of number 11642 with respect to smaller t
residual design of number 11643
derived from number 11645

135 5-(28,13,136620) (complement has $\lambda=353694$)
design of number 134 with respect to smaller t
residual design of number 7079
derived from number 7086

11239 5-(28,13,139656) (complement has $\lambda=350658$)
TvT: 5-(27,12,48576) $\cup$ 5-(27,13,91080)

4266 5-(28,13,143451) (complement has $\lambda=346863$)
TvT: 5-(27,12,49896) $\cup$ 5-(27,13,93555)

4269 5-(28,13,148764) (complement has $\lambda=341550$)
TvT: 5-(27,12,51744) $\cup$ 5-(27,13,97020)

4275 5-(28,13,150282) (complement has $\lambda=340032$)
TvT: 5-(27,12,52272) $\cup$ 5-(27,13,98010)

7081 5-(28,13,159390) (complement has $\lambda=330924$)
residual design of number 7080
derived from number 7092
design of number 8855 with respect to smaller t

4281 5-(28,13,162426) (complement has $\lambda=327888$)
TvT: 5-(27,12,56496) $\cup$ 5-(27,13,105930)

4283 5-(28,13,163944) (complement has $\lambda=326370$)
TvT: 5-(27,12,57024) $\cup$ 5-(27,13,106920)
design of number 11592 with respect to smaller t
residual design of number 11593
derived from number 11601

11360 5-(28,13,166980) (complement has $\lambda=323334$)
TvT: 5-(27,12,58080) $\cup$ 5-(27,13,108900)

150 5-(28,13,171534) (complement has $\lambda=318780$)
design of number 149 with respect to smaller t
derived from number 7098

4285 5-(28,13,173052) (complement has $\lambda=317262$)
TvT: 5-(27,12,60192) $\cup$ 5-(27,13,112860)

4287 5-(28,13,180642) (complement has $\lambda=309672$)
TvT: 5-(27,12,62832) $\cup$ 5-(27,13,117810)

165 5-(28,13,182160) (complement has $\lambda=308154$)
design of number 164 with respect to smaller t
derived from number 7104

11240 5-(28,13,184437) (complement has $\lambda=305877$)
TvT: 5-(27,12,64152) $\cup$ 5-(27,13,120285)

11391 5-(28,13,189750) (complement has $\lambda=300564$)
TvT: 5-(27,12,66000) $\cup$ 5-(27,13,123750)

180 5-(28,13,194304) (complement has $\lambda=296010$)
design of number 179 with respect to smaller t
residual design of number 7085
derived from number 7110

4293 5-(28,13,200376) (complement has $\lambda=289938$)
TvT: 5-(27,12,69696) $\cup$ 5-(27,13,130680)

4295 5-(28,13,203412) (complement has $\lambda=286902$)
TvT: 5-(27,12,70752) $\cup$ 5-(27,13,132660)
design of number 7015 with respect to smaller t
derived from number 7116
residual design of number 11373

195 5-(28,13,204930) (complement has $\lambda=285384$)
design of number 194 with respect to smaller t
residual design of number 7076
derived from number 7122

11242 5-(28,13,214038) (complement has $\lambda=276276$)
TvT: 5-(27,12,74448) $\cup$ 5-(27,13,139590)
design of number 11569 with respect to smaller t
residual design of number 11570
derived from number 11571

7024 5-(28,13,217074) (complement has $\lambda=273240$)
design of number 7023 with respect to smaller t
residual design of number 7077
derived from number 7128

11533 5-(28,13,218592) (complement has $\lambda=271722$)
TvT: 5-(27,12,76032) $\cup$ 5-(27,13,142560)

11243 5-(28,13,223905) (complement has $\lambda=266409$)
TvT: 5-(27,12,77880) $\cup$ 5-(27,13,146025)

11245 5-(28,13,225423) (complement has $\lambda=264891$)
TvT: 5-(27,12,78408) $\cup$ 5-(27,13,147015)
design of number 11296 with respect to smaller t
derived from number 11475

210 5-(28,13,227700) (complement has $\lambda=262614$)
design of number 209 with respect to smaller t
derived from number 7134
residual design of number 11300

4302 5-(28,13,230736) (complement has $\lambda=259578$)
TvT: 5-(27,12,80256) $\cup$ 5-(27,13,150480)

4304 5-(28,13,233772) (complement has $\lambda=256542$)
TvT: 5-(27,12,81312) $\cup$ 5-(27,13,152460)

4306 5-(28,13,235290) (complement has $\lambda=255024$)
TvT: 5-(27,12,81840) $\cup$ 5-(27,13,153450)

225 5-(28,13,239844) (complement has $\lambda=250470$)
design of number 224 with respect to smaller t
derived from number 7140

448 5-(28,13,243639) (complement has $\lambda=246675$)
TvT: 5-(27,12,84744) $\cup$ 5-(27,13,158895)

4312 5-(28,13,244398) (complement has $\lambda=245916$)
TvT: 5-(27,12,85008) $\cup$ 5-(27,13,159390)
design of number 7025 with respect to smaller t
residual design of number 7078
derived from number 7146

7027 5-(28,13,245157) (selfcomplementary)
design of number 7026 with respect to smaller t
complementary design of number 7026 with respect to smaller t
derived from number 9274
derived from complement of number 9274

4075 5-(28,14,10120) (complement has $\lambda=807070$)
Tran van Trung construction with supplementary design for design number 4072
Alltop construction for design number 4074

6686 5-(28,14,60720) (complement has $\lambda=756470$)
Tran van Trung construction with supplementary design for design number 6676
design of number 6679 with respect to smaller t
Alltop construction for design number 6683

668 5-(28,14,65780) (complement has $\lambda=751410$)
Alltop construction for design number 666
Tran van Trung construction with supplementary design for design number 720

11101 5-(28,14,72105) (complement has $\lambda=745085$)
Alltop construction for design number 11098
Tran van Trung construction with supplementary design for design number 11112

11118 5-(28,14,96140) (complement has $\lambda=721050$)
Alltop construction for design number 11115
Tran van Trung construction with supplementary design for design number 11120

11157 5-(28,14,99935) (complement has $\lambda=717255$)
Alltop construction for design number 11154
Tran van Trung construction with supplementary design for design number 11206

611 5-(28,14,102465) (complement has $\lambda=714725$)
Alltop construction for design number 609
Tran van Trung construction with supplementary design for design number 626

6706 5-(28,14,129030) (complement has $\lambda=688160$)
Tran van Trung construction with supplementary design for design number 6696
design of number 6699 with respect to smaller t
Alltop construction for design number 6703

4084 5-(28,14,134090) (complement has $\lambda=683100$)
Tran van Trung construction with supplementary design for design number 4079
Alltop construction for design number 4081

4093 5-(28,14,136620) (complement has $\lambda=680570$)
Tran van Trung construction with supplementary design for design number 4088
Alltop construction for design number 4090

11105 5-(28,14,144210) (complement has $\lambda=672980$)
Alltop construction for design number 11102

7155 5-(28,14,151800) (complement has $\lambda=665390$)
residual design of number 7152
derived from number 7153
Alltop construction for design number 7160
Tran van Trung construction with supplementary design for design number 8838
design of number 8842 with respect to smaller t

8930 5-(28,14,161920) (complement has $\lambda=655270$)
design of number 8927 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8931
Alltop construction for design number 8937

4102 5-(28,14,168245) (complement has $\lambda=648945$)
Tran van Trung construction with supplementary design for design number 4097
Alltop construction for design number 4099

11017 5-(28,14,170775) (complement has $\lambda=646415$)
Alltop construction for design number 11014
Tran van Trung construction with supplementary design for design number 11037

131 5-(28,14,189750) (complement has $\lambda=627440$)
Tran van Trung construction with supplementary design for design number 124
Alltop construction for design number 126

6726 5-(28,14,197340) (complement has $\lambda=619850$)
Tran van Trung construction with supplementary design for design number 6716
design of number 6719 with respect to smaller t
Alltop construction for design number 6723

4111 5-(28,14,202400) (complement has $\lambda=614790$)
Tran van Trung construction with supplementary design for design number 4106
Alltop construction for design number 4108

4120 5-(28,14,204930) (complement has $\lambda=612260$)
Tran van Trung construction with supplementary design for design number 4115
Alltop construction for design number 4117

6746 5-(28,14,208725) (complement has $\lambda=608465$)
Tran van Trung construction with supplementary design for design number 6736
design of number 6739 with respect to smaller t
Alltop construction for design number 6743

8950 5-(28,14,212520) (complement has $\lambda=604670$)
design of number 8947 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8951
Alltop construction for design number 8957

4322 5-(28,14,213785) (complement has $\lambda=603405$)
\cite{Sebille98} $AGL(3,3)+$
Alltop construction for design number 4324
Tran van Trung construction with supplementary design for design number 6756
design of number 6759 with respect to smaller t

8970 5-(28,14,225170) (complement has $\lambda=592020$)
design of number 8967 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8971
Alltop construction for design number 8977
residual design of number 11645
derived from number 11646

145 5-(28,14,227700) (complement has $\lambda=589490$)
Tran van Trung construction with supplementary design for design number 137
Alltop construction for design number 140
design of number 6774 with respect to smaller t
residual design of number 7086
derived from number 7087

8989 5-(28,14,230230) (complement has $\lambda=586960$)
design of number 8986 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8990
Alltop construction for design number 8996

615 5-(28,14,232760) (complement has $\lambda=584430$)
Alltop construction for design number 612
Tran van Trung construction with supplementary design for design number 11209

744 5-(28,14,236555) (complement has $\lambda=580635$)
Alltop construction for design number 741

4129 5-(28,14,239085) (complement has $\lambda=578105$)
Tran van Trung construction with supplementary design for design number 4124
Alltop construction for design number 4126

672 5-(28,14,246675) (complement has $\lambda=570515$)
Alltop construction for design number 669

4274 5-(28,14,247940) (complement has $\lambda=569250$)
Alltop construction for design number 4271
design of number 9006 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9009

4280 5-(28,14,250470) (complement has $\lambda=566720$)
Alltop construction for design number 4277
design of number 9016 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9019

10824 5-(28,14,264385) (complement has $\lambda=552805$)
Alltop construction for design number 10821

7084 5-(28,14,265650) (complement has $\lambda=551540$)
Alltop construction for design number 7082
residual design of number 7092
derived from number 7093
Tran van Trung construction with supplementary design for design number 8858
design of number 8862 with respect to smaller t

9029 5-(28,14,268180) (complement has $\lambda=549010$)
design of number 9026 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9030
Alltop construction for design number 9036

4031 5-(28,14,270710) (complement has $\lambda=546480$)
Tran van Trung construction with supplementary design for design number 4026
Alltop construction for design number 4028

4040 5-(28,14,273240) (complement has $\lambda=543950$)
Tran van Trung construction with supplementary design for design number 4035
Alltop construction for design number 4037
design of number 11588 with respect to smaller t
residual design of number 11601
derived from number 11602

786 5-(28,14,274505) (complement has $\lambda=542685$)
Alltop construction for design number 783

6792 5-(28,14,277035) (complement has $\lambda=540155$)
Tran van Trung construction with supplementary design for design number 6782
design of number 6785 with respect to smaller t
Alltop construction for design number 6789

676 5-(28,14,278300) (complement has $\lambda=538890$)
Alltop construction for design number 673
Tran van Trung construction with supplementary design for design number 11353

9049 5-(28,14,283360) (complement has $\lambda=533830$)
design of number 9046 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9050
Alltop construction for design number 9056

160 5-(28,14,285890) (complement has $\lambda=531300$)
Tran van Trung construction with supplementary design for design number 152
Alltop construction for design number 155
residual design of number 7098
derived from number 7099
design of number 8876 with respect to smaller t

4047 5-(28,14,288420) (complement has $\lambda=528770$)
Tran van Trung construction with supplementary design for design number 4044
Alltop construction for design number 4046

680 5-(28,14,292215) (complement has $\lambda=524975$)
Alltop construction for design number 677

4292 5-(28,14,301070) (complement has $\lambda=516120$)
Alltop construction for design number 4289
design of number 9066 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9069

175 5-(28,14,303600) (complement has $\lambda=513590$)
Tran van Trung construction with supplementary design for design number 167
Alltop construction for design number 170
residual design of number 7104
derived from number 7105
design of number 8887 with respect to smaller t

11161 5-(28,14,307395) (complement has $\lambda=509795$)
Alltop construction for design number 11158
Tran van Trung construction with supplementary design for design number 11212

4326 5-(28,14,312455) (complement has $\lambda=504735$)
\cite{Sebille98} $AGL(3,3)+$
Alltop construction for design number 4328
Tran van Trung construction with supplementary design for design number 6802
design of number 6805 with respect to smaller t

684 5-(28,14,316250) (complement has $\lambda=500940$)
Alltop construction for design number 681
Tran van Trung construction with supplementary design for design number 11386

748 5-(28,14,320045) (complement has $\lambda=497145$)
Alltop construction for design number 745

9083 5-(28,14,321310) (complement has $\lambda=495880$)
design of number 9080 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9084
Alltop construction for design number 9090

190 5-(28,14,323840) (complement has $\lambda=493350$)
Tran van Trung construction with supplementary design for design number 182
Alltop construction for design number 185
residual design of number 7110
derived from number 7111
design of number 8900 with respect to smaller t

790 5-(28,14,330165) (complement has $\lambda=487025$)
Alltop construction for design number 787

4054 5-(28,14,333960) (complement has $\lambda=483230$)
Tran van Trung construction with supplementary design for design number 4051
Alltop construction for design number 4053

4301 5-(28,14,339020) (complement has $\lambda=478170$)
Alltop construction for design number 4298
Tran van Trung construction with supplementary design for design number 7017
residual design of number 7116
derived from number 7117
design of number 9100 with respect to smaller t

205 5-(28,14,341550) (complement has $\lambda=475640$)
Tran van Trung construction with supplementary design for design number 197
Alltop construction for design number 200
residual design of number 7122
derived from number 7123
design of number 8907 with respect to smaller t

752 5-(28,14,344080) (complement has $\lambda=473110$)
Alltop construction for design number 749

9109 5-(28,14,356730) (complement has $\lambda=460460$)
design of number 9106 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9110
Alltop construction for design number 9116
residual design of number 11571
derived from number 11572

11109 5-(28,14,360525) (complement has $\lambda=456665$)
Alltop construction for design number 11106

4330 5-(28,14,361790) (complement has $\lambda=455400$)
\cite{Sebille98} $AGL(3,3)+$
Alltop construction for design number 4332
Tran van Trung construction with supplementary design for design number 6818
design of number 6819 with respect to smaller t
residual design of number 7128
derived from number 7129

11527 5-(28,14,364320) (complement has $\lambda=452870$)
Alltop construction for design number 11524
Tran van Trung construction with supplementary design for design number 11530

9128 5-(28,14,371910) (complement has $\lambda=445280$)
design of number 9125 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9129
Alltop construction for design number 9134

11218 5-(28,14,373175) (complement has $\lambda=444015$)
Tran van Trung construction with supplementary design for design number 11215
Alltop construction for design number 11217

9144 5-(28,14,374440) (complement has $\lambda=442750$)
design of number 9141 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9145
Alltop construction for design number 9151

11225 5-(28,14,375705) (complement has $\lambda=441485$)
Tran van Trung construction with supplementary design for design number 11222
Alltop construction for design number 11224
design of number 11284 with respect to smaller t
residual design of number 11475
derived from number 11476

220 5-(28,14,379500) (complement has $\lambda=437690$)
Tran van Trung construction with supplementary design for design number 212
Alltop construction for design number 215
residual design of number 7134
derived from number 7135
design of number 8918 with respect to smaller t

4061 5-(28,14,384560) (complement has $\lambda=432630$)
Tran van Trung construction with supplementary design for design number 4058
Alltop construction for design number 4060

756 5-(28,14,385825) (complement has $\lambda=431365$)
Alltop construction for design number 753

4068 5-(28,14,389620) (complement has $\lambda=427570$)
Tran van Trung construction with supplementary design for design number 4065
Alltop construction for design number 4067
TvT: 5-(27,13,152460) $\cup$ supplementary design
design of number 9161 with respect to smaller t

4311 5-(28,14,392150) (complement has $\lambda=425040$)
Alltop construction for design number 4308
design of number 9167 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9170

235 5-(28,14,399740) (complement has $\lambda=417450$)
Tran van Trung construction with supplementary design for design number 227
Alltop construction for design number 230
design of number 6827 with respect to smaller t
residual design of number 7140
derived from number 7141

794 5-(28,14,403535) (complement has $\lambda=413655$)
Alltop construction for design number 791

422 5-(28,14,406065) (complement has $\lambda=411125$)
Tran van Trung construction with supplementary design for design number 417
Alltop construction for design number 419

113 5-(28,14,407330) (complement has $\lambda=409860$)
Tran van Trung construction with supplementary design for design number 103
design of number 106 with respect to smaller t
Alltop construction for design number 110
residual design of number 7146
derived from number 7147

7034 5-(28,14,408595) (selfcomplementary)
Tran van Trung construction with supplementary design for design number 7029
Alltop construction for design number 7032
design of number 7035 with respect to smaller t
complementary design of number 7035 with respect to smaller t
residual design of number 9274
residual design of complement of number 9274
derived from number 9275
derived from complement of number 9275

7158 5-(28,15,212520) (complement has $\lambda=931546$)
residual design of number 7153
design of number 9218 with respect to smaller t

11649 5-(28,15,315238) (complement has $\lambda=828828$)
residual design of number 11646

7090 5-(28,15,318780) (complement has $\lambda=825286$)
residual design of number 7087
design of number 9223 with respect to smaller t

7096 5-(28,15,371910) (complement has $\lambda=772156$)
residual design of number 7093
design of number 9228 with respect to smaller t

11605 5-(28,15,382536) (complement has $\lambda=761530$)
residual design of number 11602
design of number 11609 with respect to smaller t

7102 5-(28,15,400246) (complement has $\lambda=743820$)
residual design of number 7099
design of number 9233 with respect to smaller t

7108 5-(28,15,425040) (complement has $\lambda=719026$)
residual design of number 7105
design of number 9238 with respect to smaller t

7114 5-(28,15,453376) (complement has $\lambda=690690$)
residual design of number 7111
design of number 9243 with respect to smaller t

7120 5-(28,15,474628) (complement has $\lambda=669438$)
residual design of number 7117

7126 5-(28,15,478170) (complement has $\lambda=665896$)
residual design of number 7123
design of number 9248 with respect to smaller t

11575 5-(28,15,499422) (complement has $\lambda=644644$)
residual design of number 11572

7132 5-(28,15,506506) (complement has $\lambda=637560$)
residual design of number 7129
design of number 9253 with respect to smaller t

11479 5-(28,15,525987) (complement has $\lambda=618079$)
residual design of number 11476

7138 5-(28,15,531300) (complement has $\lambda=612766$)
residual design of number 7135
design of number 9258 with respect to smaller t

7144 5-(28,15,559636) (complement has $\lambda=584430$)
residual design of number 7141
design of number 9263 with respect to smaller t

7150 5-(28,15,570262) (complement has $\lambda=573804$)
residual design of number 7147
design of number 9268 with respect to smaller t

9276 5-(28,15,572033) (selfcomplementary)
residual design of number 9275
residual design of complement of number 9275

44 6-(28,7,6) (complement has $\lambda=16$)
$PSU(3,9)$ $\ge $ 10 isomorphism types

7045 6-(28,8,42) (complement has $\lambda=189$)
$P\Gamma L(2,27)$ (2 isom. types) \cite{Schmalz93}

7050 6-(28,8,63) (complement has $\lambda=168$)
$P\Gamma L(2,27)$ (367 isom. types) \cite{Schmalz93}

7053 6-(28,8,84) (complement has $\lambda=147$)
$P\Gamma L(2,27)$ (21743 isom types) \cite{Schmalz93}

7039 6-(28,8,105) (complement has $\lambda=126$)
$P\Gamma L(2,27)$ (38277 isom. types) \cite{Schmalz93}

9182 6-(28,9,420) (complement has $\lambda=1120$)
derived from number 9180

6993 6-(28,10,910) (complement has $\lambda=6405$)
$P\Gamma L(2,27)$

6832 6-(28,10,1225) (complement has $\lambda=6090$)
$P\Gamma L(2,27)$

4189 6-(28,10,1540) (complement has $\lambda=5775$)
\cite{Sebille98} $P\Gamma L(2,25)\cup S_2$
\cite{Sebille98} $P\Gamma L(2,25)\cup S_2$

6842 6-(28,10,1890) (complement has $\lambda=5425$)
$P\Gamma L(2,27)$

9183 6-(28,10,1995) (complement has $\lambda=5320$)
residual design of number 9180

9192 6-(28,10,2130) (complement has $\lambda=5185$)
derived from number 9190

6852 6-(28,10,2170) (complement has $\lambda=5145$)
$P\Gamma L(2,27)$

6862 6-(28,10,2205) (complement has $\lambda=5110$)
$P\Gamma L(2,27)$

6872 6-(28,10,2520) (complement has $\lambda=4795$)
$P\Gamma L(2,27)$

6882 6-(28,10,2590) (complement has $\lambda=4725$)
$P\Gamma L(2,27)$

6892 6-(28,10,2695) (complement has $\lambda=4620$)
TvT: 6-(27,9,490) $\cup$ 6-(27,10,2205)

6893 6-(28,10,2800) (complement has $\lambda=4515$)
$P\Gamma L(2,27)$

6903 6-(28,10,2905) (complement has $\lambda=4410$)
$P\Gamma L(2,27)$

6913 6-(28,10,2940) (complement has $\lambda=4375$)
$P\Gamma L(2,27)$

6923 6-(28,10,3115) (complement has $\lambda=4200$)
$P\Gamma L(2,27)$

6933 6-(28,10,3150) (complement has $\lambda=4165$)
$P\Gamma L(2,27)$

6943 6-(28,10,3220) (complement has $\lambda=4095$)
$P\Gamma L(2,27)$

6953 6-(28,10,3255) (complement has $\lambda=4060$)
$P\Gamma L(2,27)$

6963 6-(28,10,3430) (complement has $\lambda=3885$)
$P\Gamma L(2,27)$

8818 6-(28,10,3465) (complement has $\lambda=3850$)
design of number 8817 with respect to smaller t
derived from number 9210

6973 6-(28,10,3535) (complement has $\lambda=3780$)
$P\Gamma L(2,27)$

6983 6-(28,10,3570) (complement has $\lambda=3745$)
$P\Gamma L(2,27)$

11288 6-(28,11,4158) (complement has $\lambda=22176$)
TvT: 6-(27,10,945) $\cup$ 6-(27,11,3213)

9193 6-(28,11,7668) (complement has $\lambda=18666$)
residual design of number 9190

7003 6-(28,11,9702) (complement has $\lambda=16632$)
TvT: 6-(27,10,2205) $\cup$ 6-(27,11,7497)

8825 6-(28,11,12474) (complement has $\lambda=13860$)
design of number 8824 with respect to smaller t
residual design of number 9210

11289 6-(28,12,12474) (complement has $\lambda=62139$)
TvT: 6-(27,11,3402) $\cup$ 6-(27,12,9072)
design of number 11331 with respect to smaller t

11290 6-(28,12,13860) (complement has $\lambda=60753$)
TvT: 6-(27,11,3780) $\cup$ 6-(27,12,10080)

11291 6-(28,12,18480) (complement has $\lambda=56133$)
TvT: 6-(27,11,5040) $\cup$ 6-(27,12,13440)
design of number 11332 with respect to smaller t

7004 6-(28,12,18711) (complement has $\lambda=55902$)
TvT: 6-(27,11,5103) $\cup$ 6-(27,12,13608)
design of number 8829 with respect to smaller t

11641 6-(28,12,20559) (complement has $\lambda=54054$)
TvT: 6-(27,11,5607) $\cup$ 6-(27,12,14952)

7005 6-(28,12,20790) (complement has $\lambda=53823$)
TvT: 6-(27,11,5670) $\cup$ 6-(27,12,15120)

7006 6-(28,12,24255) (complement has $\lambda=50358$)
TvT: 6-(27,11,6615) $\cup$ 6-(27,12,17640)

7009 6-(28,12,24717) (complement has $\lambda=49896$)
TvT: 6-(27,11,6741) $\cup$ 6-(27,12,17976)
design of number 8830 with respect to smaller t

7010 6-(28,12,24948) (complement has $\lambda=49665$)
TvT: 6-(27,11,6804) $\cup$ 6-(27,12,18144)
design of number 8831 with respect to smaller t
derived from number 11600

7011 6-(28,12,29568) (complement has $\lambda=45045$)
TvT: 6-(27,11,8064) $\cup$ 6-(27,12,21504)
design of number 11561 with respect to smaller t
derived from number 11562

11294 6-(28,12,30954) (complement has $\lambda=43659$)
TvT: 6-(27,11,8442) $\cup$ 6-(27,12,22512)
design of number 11333 with respect to smaller t

7012 6-(28,12,31185) (complement has $\lambda=43428$)
TvT: 6-(27,11,8505) $\cup$ 6-(27,12,22680)
design of number 8832 with respect to smaller t
derived from number 9214

11559 6-(28,12,32571) (complement has $\lambda=42042$)
TvT: 6-(27,11,8883) $\cup$ 6-(27,12,23688)

7013 6-(28,12,33033) (complement has $\lambda=41580$)
TvT: 6-(27,11,9009) $\cup$ 6-(27,12,24024)
design of number 11550 with respect to smaller t
derived from number 11551

11295 6-(28,12,34650) (complement has $\lambda=39963$)
TvT: 6-(27,11,9450) $\cup$ 6-(27,12,25200)

7014 6-(28,12,37191) (complement has $\lambda=37422$)
TvT: 6-(27,11,10143) $\cup$ 6-(27,12,27048)
design of number 8828 with respect to smaller t
derived from number 9215

8834 6-(28,13,31680) (complement has $\lambda=138864$)
design of number 8833 with respect to smaller t
derived from number 9216

121 6-(28,13,39600) (complement has $\lambda=130944$)
$Sp(6,2)$

11642 6-(28,13,46992) (complement has $\lambda=123552$)
TvT: 6-(27,12,14952) $\cup$ 6-(27,13,32040)

134 6-(28,13,47520) (complement has $\lambda=123024$)
$Sp(6,2)$
design of number 8852 with respect to smaller t
derived from number 9221

8855 6-(28,13,55440) (complement has $\lambda=115104$)
design of number 8854 with respect to smaller t
derived from number 9226

11592 6-(28,13,57024) (complement has $\lambda=113520$)
TvT: 6-(27,12,18144) $\cup$ 6-(27,13,38880)
design of number 11599 with respect to smaller t
residual design of number 11600
derived from number 11607

149 6-(28,13,59664) (complement has $\lambda=110880$)
$Sp(6,2)$
design of number 8871 with respect to smaller t
derived from number 9231

164 6-(28,13,63360) (complement has $\lambda=107184$)
$Sp(6,2)$
design of number 8880 with respect to smaller t
derived from number 9236

179 6-(28,13,67584) (complement has $\lambda=102960$)
$Sp(6,2)$
design of number 8895 with respect to smaller t
derived from number 9241
residual design of number 11562

7015 6-(28,13,70752) (complement has $\lambda=99792$)
TvT: 6-(27,12,22512) $\cup$ 6-(27,13,48240)

194 6-(28,13,71280) (complement has $\lambda=99264$)
$Sp(6,2)$
design of number 8904 with respect to smaller t
residual design of number 9214
derived from number 9246

11569 6-(28,13,74448) (complement has $\lambda=96096$)
TvT: 6-(27,12,23688) $\cup$ 6-(27,13,50760)

7023 6-(28,13,75504) (complement has $\lambda=95040$)
TvT: 6-(27,12,24024) $\cup$ 6-(27,13,51480)
design of number 8911 with respect to smaller t
derived from number 9251
residual design of number 11551

11296 6-(28,13,78408) (complement has $\lambda=92136$)
TvT: 6-(27,12,24948) $\cup$ 6-(27,13,53460)

209 6-(28,13,79200) (complement has $\lambda=91344$)
$Sp(6,2)$
design of number 8912 with respect to smaller t
derived from number 9256

224 6-(28,13,83424) (complement has $\lambda=87120$)
$Sp(6,2)$
TvT: 6-(27,12,26544) $\cup$ 6-(27,13,56880)
design of number 8924 with respect to smaller t
derived from number 9261

7025 6-(28,13,85008) (complement has $\lambda=85536$)
TvT: 6-(27,12,27048) $\cup$ 6-(27,13,57960)
design of number 8925 with respect to smaller t
residual design of number 9215
derived from number 9266

7026 6-(28,13,85272) (selfcomplementary)
Ajoodani-Namini Large Set recursion from 6-(14,7,4)

6679 6-(28,14,23760) (complement has $\lambda=296010$)
Tran van Trung construction with supplementary design for design number 6674
design of number 6680 with respect to smaller t

6699 6-(28,14,50490) (complement has $\lambda=269280$)
Tran van Trung construction with supplementary design for design number 6694
design of number 6700 with respect to smaller t

8842 6-(28,14,59400) (complement has $\lambda=260370$)
Tran van Trung construction with supplementary design for design number 8836
design of number 8843 with respect to smaller t
residual design of number 9216
derived from number 9217

8927 6-(28,14,63360) (complement has $\lambda=256410$)
design of number 8926 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8928

6719 6-(28,14,77220) (complement has $\lambda=242550$)
Tran van Trung construction with supplementary design for design number 6714
design of number 6720 with respect to smaller t

6739 6-(28,14,81675) (complement has $\lambda=238095$)
Tran van Trung construction with supplementary design for design number 6734
design of number 6740 with respect to smaller t

8947 6-(28,14,83160) (complement has $\lambda=236610$)
design of number 8946 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8948

6759 6-(28,14,83655) (complement has $\lambda=236115$)
Tran van Trung construction with supplementary design for design number 6754
design of number 6760 with respect to smaller t
\cite{Sebille98} $AGL(3,3)+$
\cite{Sebille98} $AGL(3,3)+$

8967 6-(28,14,88110) (complement has $\lambda=231660$)
design of number 8966 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8968

6774 6-(28,14,89100) (complement has $\lambda=230670$)
Tran van Trung construction with supplementary design for design number 6770
design of number 6775 with respect to smaller t
residual design of number 9221
derived from number 9222

8986 6-(28,14,90090) (complement has $\lambda=229680$)
design of number 8985 with respect to smaller t
Tran van Trung construction with supplementary design for design number 8987

9006 6-(28,14,97020) (complement has $\lambda=222750$)
design of number 9005 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9007

9016 6-(28,14,98010) (complement has $\lambda=221760$)
design of number 9015 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9017

8862 6-(28,14,103950) (complement has $\lambda=215820$)
Tran van Trung construction with supplementary design for design number 8857
design of number 8863 with respect to smaller t
residual design of number 9226
derived from number 9227

9026 6-(28,14,104940) (complement has $\lambda=214830$)
design of number 9025 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9027

11588 6-(28,14,106920) (complement has $\lambda=212850$)
Tran van Trung construction with supplementary design for design number 11586
design of number 11589 with respect to smaller t
residual design of number 11607
derived from number 11608

6785 6-(28,14,108405) (complement has $\lambda=211365$)
Tran van Trung construction with supplementary design for design number 6780
design of number 6786 with respect to smaller t

9046 6-(28,14,110880) (complement has $\lambda=208890$)
design of number 9045 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9047

8876 6-(28,14,111870) (complement has $\lambda=207900$)
Tran van Trung construction with supplementary design for design number 8873
design of number 8877 with respect to smaller t
residual design of number 9231
derived from number 9232

9066 6-(28,14,117810) (complement has $\lambda=201960$)
design of number 9065 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9067

8887 6-(28,14,118800) (complement has $\lambda=200970$)
Tran van Trung construction with supplementary design for design number 8882
design of number 8888 with respect to smaller t
residual design of number 9236
derived from number 9237

6805 6-(28,14,122265) (complement has $\lambda=197505$)
Tran van Trung construction with supplementary design for design number 6800
design of number 6806 with respect to smaller t
\cite{Sebille98} $AGL(3,3)+$

9080 6-(28,14,125730) (complement has $\lambda=194040$)
design of number 9079 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9081

8900 6-(28,14,126720) (complement has $\lambda=193050$)
Tran van Trung construction with supplementary design for design number 8897
design of number 8901 with respect to smaller t
residual design of number 9241
derived from number 9242

9100 6-(28,14,132660) (complement has $\lambda=187110$)
design of number 9099 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9101

8907 6-(28,14,133650) (complement has $\lambda=186120$)
Tran van Trung construction with supplementary design for design number 8905
design of number 8908 with respect to smaller t
residual design of number 9246
derived from number 9247

9106 6-(28,14,139590) (complement has $\lambda=180180$)
design of number 9105 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9107

6819 6-(28,14,141570) (complement has $\lambda=178200$)
Tran van Trung construction with supplementary design for design number 6816
design of number 6820 with respect to smaller t
\cite{Sebille98} $AGL(3,3)+$
residual design of number 9251
derived from number 9252

9125 6-(28,14,145530) (complement has $\lambda=174240$)
design of number 9124 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9126

9141 6-(28,14,146520) (complement has $\lambda=173250$)
design of number 9140 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9142

11284 6-(28,14,147015) (complement has $\lambda=172755$)
Tran van Trung construction with supplementary design for design number 11282
design of number 11285 with respect to smaller t

8918 6-(28,14,148500) (complement has $\lambda=171270$)
Tran van Trung construction with supplementary design for design number 8914
design of number 8919 with respect to smaller t
residual design of number 9256
derived from number 9257

9161 6-(28,14,152460) (complement has $\lambda=167310$)
design of number 9160 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9162

9167 6-(28,14,153450) (complement has $\lambda=166320$)
design of number 9166 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9168

6827 6-(28,14,156420) (complement has $\lambda=163350$)
Tran van Trung construction with supplementary design for design number 6825
design of number 6828 with respect to smaller t
residual design of number 9261
derived from number 9262

106 6-(28,14,159390) (complement has $\lambda=160380$)
Tran van Trung construction with supplementary design for design number 101
design of number 107 with respect to smaller t
residual design of number 9266
derived from number 9267

7035 6-(28,14,159885) (selfcomplementary)
Alltop construction for design number 7029
Ajoodani-Namini Large Set recursion from 6-(14,7,4)

9218 6-(28,15,92400) (complement has $\lambda=405020$)
residual design of number 9217

9223 6-(28,15,138600) (complement has $\lambda=358820$)
residual design of number 9222

9228 6-(28,15,161700) (complement has $\lambda=335720$)
residual design of number 9227

11609 6-(28,15,166320) (complement has $\lambda=331100$)
residual design of number 11608

9233 6-(28,15,174020) (complement has $\lambda=323400$)
residual design of number 9232

9238 6-(28,15,184800) (complement has $\lambda=312620$)
residual design of number 9237

9243 6-(28,15,197120) (complement has $\lambda=300300$)
residual design of number 9242

9248 6-(28,15,207900) (complement has $\lambda=289520$)
residual design of number 9247

9253 6-(28,15,220220) (complement has $\lambda=277200$)
residual design of number 9252

9258 6-(28,15,231000) (complement has $\lambda=266420$)
residual design of number 9257

9263 6-(28,15,243320) (complement has $\lambda=254100$)
residual design of number 9262

9268 6-(28,15,247940) (complement has $\lambda=249480$)
residual design of number 9267

8817 7-(28,10,630) (complement has $\lambda=700$)
$P\Gamma L(2,27)$ (>= 100 isom. types) \cite{Bettenetal97b}

8824 7-(28,11,2835) (complement has $\lambda=3150$)
TvT: 7-(27,10,540) $\cup$ 7-(27,11,2295)

11331 7-(28,12,3402) (complement has $\lambda=16947$)
TvT: 7-(27,11,810) $\cup$ 7-(27,12,2592)

11332 7-(28,12,5040) (complement has $\lambda=15309$)
TvT: 7-(27,11,1200) $\cup$ 7-(27,12,3840)

8829 7-(28,12,5103) (complement has $\lambda=15246$)
TvT: 7-(27,11,1215) $\cup$ 7-(27,12,3888)

8830 7-(28,12,6741) (complement has $\lambda=13608$)
TvT: 7-(27,11,1605) $\cup$ 7-(27,12,5136)

8831 7-(28,12,6804) (complement has $\lambda=13545$)
TvT: 7-(27,11,1620) $\cup$ 7-(27,12,5184)

11561 7-(28,12,8064) (complement has $\lambda=12285$)
TvT: 7-(27,11,1920) $\cup$ 7-(27,12,6144)

11333 7-(28,12,8442) (complement has $\lambda=11907$)
TvT: 7-(27,11,2010) $\cup$ 7-(27,12,6432)

8832 7-(28,12,8505) (complement has $\lambda=11844$)
TvT: 7-(27,11,2025) $\cup$ 7-(27,12,6480)

11550 7-(28,12,9009) (complement has $\lambda=11340$)
TvT: 7-(27,11,2145) $\cup$ 7-(27,12,6864)

8828 7-(28,12,10143) (complement has $\lambda=10206$)
TvT: 7-(27,11,2415) $\cup$ 7-(27,12,7728)

8833 7-(28,13,10080) (complement has $\lambda=44184$)
$Sp(6,2)$ 1 isomorphism type

8852 7-(28,13,15120) (complement has $\lambda=39144$)
$Sp(6,2)$ 2 isomorphism types

8854 7-(28,13,17640) (complement has $\lambda=36624$)
$Sp(6,2)$ 2 isomorphism types

11599 7-(28,13,18144) (complement has $\lambda=36120$)
TvT: 7-(27,12,5184) $\cup$ 7-(27,13,12960)

8871 7-(28,13,18984) (complement has $\lambda=35280$)
$Sp(6,2)$ 2 isomorphism types

8880 7-(28,13,20160) (complement has $\lambda=34104$)
$Sp(6,2)$ 24 isomorphism types

8895 7-(28,13,21504) (complement has $\lambda=32760$)
$Sp(6,2)$ 23 isomorphism types

8904 7-(28,13,22680) (complement has $\lambda=31584$)
$Sp(6,2)$ 57 isomorphism types

8911 7-(28,13,24024) (complement has $\lambda=30240$)
$Sp(6,2)$ 59 isomorphism types

8912 7-(28,13,25200) (complement has $\lambda=29064$)
$Sp(6,2)$ 16 isomorphism types

8924 7-(28,13,26544) (complement has $\lambda=27720$)
$Sp(6,2)$ 33 isomorphism types

8925 7-(28,13,27048) (complement has $\lambda=27216$)
TvT: 7-(27,12,7728) $\cup$ 7-(27,13,19320)

6680 7-(28,14,8640) (complement has $\lambda=107640$)
Alltop construction for design number 6674

6700 7-(28,14,18360) (complement has $\lambda=97920$)
Alltop construction for design number 6694

8843 7-(28,14,21600) (complement has $\lambda=94680$)
Alltop construction for design number 8836
Alltop

8926 7-(28,14,23040) (complement has $\lambda=93240$)
$Sp(6,2)$
Alltop construction for design number 8928

6720 7-(28,14,28080) (complement has $\lambda=88200$)
Alltop construction for design number 6714

6740 7-(28,14,29700) (complement has $\lambda=86580$)
Alltop construction for design number 6734

8946 7-(28,14,30240) (complement has $\lambda=86040$)
$Sp(6,2)$
Alltop construction for design number 8948

6760 7-(28,14,30420) (complement has $\lambda=85860$)
Alltop construction for design number 6754
Tran van Trung construction with supplementary design for design number 8776
\cite{Sebille98} $AGL(3,3)+$

8966 7-(28,14,32040) (complement has $\lambda=84240$)
red 8-(28,14,10680)
Alltop construction for design number 8968
Tran van Trung construction with supplementary design for design number 10520
design of number 10523 with respect to smaller t

6775 7-(28,14,32400) (complement has $\lambda=83880$)
Alltop construction for design number 6770
Alltop
Tran van Trung construction with supplementary design for design number 10552
design of number 10555 with respect to smaller t

8985 7-(28,14,32760) (complement has $\lambda=83520$)
$Sp(6,2)$
Alltop construction for design number 8987

9005 7-(28,14,35280) (complement has $\lambda=81000$)
$Sp(6,2)$
Alltop construction for design number 9007

9015 7-(28,14,35640) (complement has $\lambda=80640$)
$Sp(6,2)$
Alltop construction for design number 9017

8863 7-(28,14,37800) (complement has $\lambda=78480$)
Alltop construction for design number 8857
$Sp(6,2)$

9025 7-(28,14,38160) (complement has $\lambda=78120$)
$Sp(6,2)$
Alltop construction for design number 9027

11589 7-(28,14,38880) (complement has $\lambda=77400$)
Alltop construction for design number 11586
Tran van Trung construction with supplementary design for design number 11594

6786 7-(28,14,39420) (complement has $\lambda=76860$)
Alltop construction for design number 6780

9045 7-(28,14,40320) (complement has $\lambda=75960$)
$Sp(6,2)$
Alltop construction for design number 9047

8877 7-(28,14,40680) (complement has $\lambda=75600$)
Alltop construction for design number 8873
$Sp(6,2)$

9065 7-(28,14,42840) (complement has $\lambda=73440$)
$Sp(6,2)$
Alltop construction for design number 9067

8888 7-(28,14,43200) (complement has $\lambda=73080$)
Alltop construction for design number 8882
$Sp(6,2)$

6806 7-(28,14,44460) (complement has $\lambda=71820$)
Alltop construction for design number 6800
Tran van Trung construction with supplementary design for design number 8789
\cite{Sebille98} $AGL(3,3)+$

9079 7-(28,14,45720) (complement has $\lambda=70560$)
$Sp(6,2)$
Alltop construction for design number 9081

8901 7-(28,14,46080) (complement has $\lambda=70200$)
Alltop construction for design number 8897
Alltop
Tran van Trung construction with supplementary design for design number 10584
design of number 10587 with respect to smaller t

9099 7-(28,14,48240) (complement has $\lambda=68040$)
$Sp(6,2)$
Alltop construction for design number 9101

8908 7-(28,14,48600) (complement has $\lambda=67680$)
Alltop construction for design number 8905
Alltop

9105 7-(28,14,50760) (complement has $\lambda=65520$)
$Sp(6,2)$
Alltop construction for design number 9107
Tran van Trung construction with supplementary design for design number 10605
design of number 10608 with respect to smaller t

6820 7-(28,14,51480) (complement has $\lambda=64800$)
Alltop construction for design number 6816
Tran van Trung construction with supplementary design for design number 8803
\cite{Sebille98} $AGL(3,3)+$
design of number 10638 with respect to smaller t

9124 7-(28,14,52920) (complement has $\lambda=63360$)
$Sp(6,2)$
Alltop construction for design number 9126

9140 7-(28,14,53280) (complement has $\lambda=63000$)
$Sp(6,2)$
Alltop construction for design number 9142

11285 7-(28,14,53460) (complement has $\lambda=62820$)
Alltop construction for design number 11282

8919 7-(28,14,54000) (complement has $\lambda=62280$)
Alltop construction for design number 8914
Alltop

9160 7-(28,14,55440) (complement has $\lambda=60840$)
$Sp(6,2)$
Alltop construction for design number 9162

9166 7-(28,14,55800) (complement has $\lambda=60480$)
$Sp(6,2)$
Alltop construction for design number 9168

6828 7-(28,14,56880) (complement has $\lambda=59400$)
Alltop construction for design number 6825
Alltop

107 7-(28,14,57960) (complement has $\lambda=58320$)
Alltop construction for design number 101
Tran van Trung construction with supplementary design for design number 8808
$Sp(6,2)$

10523 8-(28,14,10680) (complement has $\lambda=28080$)
Tran van Trung construction with supplementary design for design number 10518
design of number 10524 with respect to smaller t
red 9-(28,14,3204)

10555 8-(28,14,10800) (complement has $\lambda=27960$)
Tran van Trung construction with supplementary design for design number 10550
design of number 10556 with respect to smaller t
red 9-(28,14,3240)

10587 8-(28,14,15360) (complement has $\lambda=23400$)
Tran van Trung construction with supplementary design for design number 10582
design of number 10588 with respect to smaller t
red 9-(28,14,4608)

10608 8-(28,14,16920) (complement has $\lambda=21840$)
Tran van Trung construction with supplementary design for design number 10603
design of number 10609 with respect to smaller t
red 9-(28,14,5076)

10638 8-(28,14,17160) (complement has $\lambda=21600$)
Tran van Trung construction with supplementary design for design number 10635
design of number 10639 with respect to smaller t
red 9-(28,14,5148)

10524 9-(28,14,3204) (complement has $\lambda=8424$)
Alltop construction for design number 10518

10556 9-(28,14,3240) (complement has $\lambda=8388$)
Alltop construction for design number 10550

10588 9-(28,14,4608) (complement has $\lambda=7020$)
Alltop construction for design number 10582

10609 9-(28,14,5076) (complement has $\lambda=6552$)
Alltop construction for design number 10603

10639 9-(28,14,5148) (complement has $\lambda=6480$)
Alltop construction for design number 10635


on 29 points:


7543 5-(29,6,12) (selfcomplementary)
derived from number 7541
derived from complement of number 7541

4767 5-(29,7,24) (complement has $\lambda=252$)
$PGL(2,27)+$ (>=1 isom. types)

4769 5-(29,7,84) (complement has $\lambda=192$)
$PGL(2,27)+$ (>=1 isom. types)

4764 5-(29,7,108) (complement has $\lambda=168$)
$PGL(2,27)+$ (>=1 isom. types)
derived from number 7551

7544 5-(29,7,138) (selfcomplementary)
residual design of number 7541
residual design of complement of number 7541

4795 5-(29,8,56) (complement has $\lambda=1968$)
$PGL(2,27)+$ (>=1 isom. types) #blocks = #5-subsets

4802 5-(29,8,64) (complement has $\lambda=1960$)
$PGL(2,27)+$ (>=1 isom. types)

4772 5-(29,8,120) (complement has $\lambda=1904$)
TvT: 5-(28,7,15) $\cup$ 5-(28,8,105)

4775 5-(29,8,176) (complement has $\lambda=1848$)
TvT: 5-(28,7,22) $\cup$ 5-(28,8,154)

4778 5-(29,8,280) (complement has $\lambda=1744$)
$PGL(2,27)+$ (>=1 isom. types)

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

7207 5-(29,8,336) (complement has $\lambda=1688$)
design of number 7206 with respect to smaller t
derived from number 7558

4784 5-(29,8,344) (complement has $\lambda=1680$)
$PGL(2,27)+$ (>=1 isom. types)
design of number 7216 with respect to smaller t

40 5-(29,8,368) (complement has $\lambda=1656$)
TvT: 5-(28,7,46) $\cup$ 5-(28,8,322)

7220 5-(29,8,392) (complement has $\lambda=1632$)
design of number 7219 with respect to smaller t

4787 5-(29,8,448) (complement has $\lambda=1576$)
$PGL(2,27)+$ (>=1 isom. types)

7230 5-(29,8,456) (complement has $\lambda=1568$)
design of number 7229 with respect to smaller t

9287 5-(29,8,480) (complement has $\lambda=1544$)
derived from number 9282

7240 5-(29,8,504) (complement has $\lambda=1520$)
design of number 7239 with respect to smaller t

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

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

7255 5-(29,8,560) (complement has $\lambda=1464$)
design of number 7254 with respect to smaller t

4798 5-(29,8,568) (complement has $\lambda=1456$)
$PGL(2,27)+$ (>=1 isom. types)

7265 5-(29,8,624) (complement has $\lambda=1400$)
design of number 7264 with respect to smaller t

7275 5-(29,8,672) (complement has $\lambda=1352$)
design of number 7274 with respect to smaller t

7285 5-(29,8,680) (complement has $\lambda=1344$)
design of number 7284 with respect to smaller t
derived from number 7564

7291 5-(29,8,728) (complement has $\lambda=1296$)
design of number 7290 with respect to smaller t

9306 5-(29,8,744) (complement has $\lambda=1280$)
derived from number 9301
design of number 10657 with respect to smaller t

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

9325 5-(29,8,800) (complement has $\lambda=1224$)
derived from number 9320
design of number 10647 with respect to smaller t

7164 5-(29,8,840) (complement has $\lambda=1184$)
design of number 7163 with respect to smaller t
derived from number 7569

7173 5-(29,8,848) (complement has $\lambda=1176$)
design of number 7172 with respect to smaller t

7183 5-(29,8,896) (complement has $\lambda=1128$)
design of number 7182 with respect to smaller t
derived from number 7572

7192 5-(29,8,960) (complement has $\lambda=1064$)
design of number 7191 with respect to smaller t
derived from number 7575

7198 5-(29,8,1008) (complement has $\lambda=1016$)
design of number 7197 with respect to smaller t
derived from number 7552

7308 5-(29,9,630) (complement has $\lambda=9996$)
design of number 7307 with respect to smaller t

7315 5-(29,9,756) (complement has $\lambda=9870$)
design of number 7314 with respect to smaller t

7325 5-(29,9,924) (complement has $\lambda=9702$)
design of number 7324 with respect to smaller t

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

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

7344 5-(29,9,1932) (complement has $\lambda=8694$)
design of number 7343 with respect to smaller t

7349 5-(29,9,2436) (complement has $\lambda=8190$)
design of number 7348 with respect to smaller t

9288 5-(29,9,2520) (complement has $\lambda=8106$)
residual design of number 9282
derived from number 9283

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

7362 5-(29,9,2814) (complement has $\lambda=7812$)
design of number 7361 with respect to smaller t

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

7373 5-(29,9,3024) (complement has $\lambda=7602$)
design of number 7372 with respect to smaller t

4804 5-(29,9,3066) (complement has $\lambda=7560$)
TvT: 5-(28,8,511) $\cup$ 5-(28,9,2555)

7379 5-(29,9,3192) (complement has $\lambda=7434$)
design of number 7378 with respect to smaller t

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

7386 5-(29,9,3780) (complement has $\lambda=6846$)
design of number 7385 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

7396 5-(29,9,4032) (complement has $\lambda=6594$)
design of number 7395 with respect to smaller t

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

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

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

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

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

7415 5-(29,9,4788) (complement has $\lambda=5838$)
design of number 7414 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

7431 5-(29,9,4956) (complement has $\lambda=5670$)
design of number 7430 with respect to smaller t
derived from number 7503

7441 5-(29,9,5040) (complement has $\lambda=5586$)
design of number 7440 with respect to smaller t
residual design of number 7575

7511 5-(29,9,5082) (complement has $\lambda=5544$)
derived from number 7509

7447 5-(29,9,5166) (complement has $\lambda=5460$)
design of number 7446 with respect to smaller t
derived from number 7518

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

7460 5-(29,10,6048) (complement has $\lambda=36456$)
residual design of number 7458

7466 5-(29,10,7056) (complement has $\lambda=35448$)
residual design of number 7464

9289 5-(29,10,10080) (complement has $\lambda=32424$)
residual design of number 9283

7472 5-(29,10,10752) (complement has $\lambda=31752$)
residual design of number 7470

4193 5-(29,10,11592) (complement has $\lambda=30912$)
residual design of number 4192
design of number 9181 with respect to smaller t

7478 5-(29,10,14280) (complement has $\lambda=28224$)
residual design of number 7476

9308 5-(29,10,15624) (complement has $\lambda=26880$)
residual design of number 9302
design of number 10659 with respect to smaller t

7484 5-(29,10,16632) (complement has $\lambda=25872$)
residual design of number 7482

9326 5-(29,10,16800) (complement has $\lambda=25704$)
residual design of number 9321
design of number 10649 with respect to smaller t

7490 5-(29,10,17640) (complement has $\lambda=24864$)
residual design of number 7488

7496 5-(29,10,18816) (complement has $\lambda=23688$)
residual design of number 7494

7060 5-(29,10,19656) (complement has $\lambda=22848$)
design of number 7059 with respect to smaller t
residual design of number 7500

7505 5-(29,10,19824) (complement has $\lambda=22680$)
residual design of number 7503

7512 5-(29,10,20328) (complement has $\lambda=22176$)
residual design of number 7509

7066 5-(29,10,20664) (complement has $\lambda=21840$)
design of number 7065 with respect to smaller t
residual design of number 7518

7523 5-(29,10,21168) (complement has $\lambda=21336$)
residual design of number 7521

11361 5-(29,11,21252) (complement has $\lambda=113344$)
TvT: 5-(28,10,5313) $\cup$ 5-(28,11,15939)

9194 5-(29,11,39192) (complement has $\lambda=95404$)
design of number 9191 with respect to smaller t

4520 5-(29,11,49588) (complement has $\lambda=85008$)
TvT: 5-(28,10,12397) $\cup$ 5-(28,11,37191)
design of number 7075 with respect to smaller t

9212 5-(29,11,63756) (complement has $\lambda=70840$)
design of number 9211 with respect to smaller t

11247 5-(29,12,54648) (complement has $\lambda=291456$)
TvT: 5-(28,11,15939) $\cup$ 5-(28,12,38709)

4522 5-(29,12,127512) (complement has $\lambda=218592$)
TvT: 5-(28,11,37191) $\cup$ 5-(28,12,90321)

11362 5-(29,13,116127) (complement has $\lambda=619344$)
TvT: 5-(28,12,38709) $\cup$ 5-(28,13,77418)

11249 5-(29,13,122958) (complement has $\lambda=612513$)
TvT: 5-(28,12,40986) $\cup$ 5-(28,13,81972)

11298 5-(29,13,136620) (complement has $\lambda=598851$)
design of number 11297 with respect to smaller t
derived from number 11301
TvT: 5-(28,12,45540) $\cup$ 5-(28,13,91080)

11250 5-(29,13,177606) (complement has $\lambda=557865$)
TvT: 5-(28,12,59202) $\cup$ 5-(28,13,118404)

11392 5-(29,13,182160) (complement has $\lambda=553311$)
TvT: 5-(28,12,60720) $\cup$ 5-(28,13,121440)

4524 5-(29,13,184437) (complement has $\lambda=551034$)
TvT: 5-(28,12,61479) $\cup$ 5-(28,13,122958)

11644 5-(29,13,202653) (complement has $\lambda=532818$)
design of number 11643 with respect to smaller t
TvT: 5-(28,12,67551) $\cup$ 5-(28,13,135102)
derived from number 11652

4526 5-(29,13,204930) (complement has $\lambda=530541$)
TvT: 5-(28,12,68310) $\cup$ 5-(28,13,136620)
design of number 7079 with respect to smaller t
derived from number 7527

11411 5-(29,13,209484) (complement has $\lambda=525987$)
TvT: 5-(28,12,69828) $\cup$ 5-(28,13,139656)

4528 5-(29,13,223146) (complement has $\lambda=512325$)
TvT: 5-(28,12,74382) $\cup$ 5-(28,13,148764)

4530 5-(29,13,225423) (complement has $\lambda=510048$)
TvT: 5-(28,12,75141) $\cup$ 5-(28,13,150282)

4532 5-(29,13,239085) (complement has $\lambda=496386$)
TvT: 5-(28,12,79695) $\cup$ 5-(28,13,159390)
design of number 7080 with respect to smaller t
derived from number 7528

4535 5-(29,13,243639) (complement has $\lambda=491832$)
TvT: 5-(28,12,81213) $\cup$ 5-(28,13,162426)

4537 5-(29,13,245916) (complement has $\lambda=489555$)
TvT: 5-(28,12,81972) $\cup$ 5-(28,13,163944)
design of number 11593 with respect to smaller t
derived from number 11613

11422 5-(29,13,250470) (complement has $\lambda=485001$)
TvT: 5-(28,12,83490) $\cup$ 5-(28,13,166980)

4539 5-(29,13,259578) (complement has $\lambda=475893$)
TvT: 5-(28,12,86526) $\cup$ 5-(28,13,173052)

4541 5-(29,13,270963) (complement has $\lambda=464508$)
TvT: 5-(28,12,90321) $\cup$ 5-(28,13,180642)

11393 5-(29,13,284625) (complement has $\lambda=450846$)
TvT: 5-(28,12,94875) $\cup$ 5-(28,13,189750)

4543 5-(29,13,291456) (complement has $\lambda=444015$)
TvT: 5-(28,12,97152) $\cup$ 5-(28,13,194304)
design of number 7085 with respect to smaller t
derived from number 7529

4545 5-(29,13,300564) (complement has $\lambda=434907$)
TvT: 5-(28,12,100188) $\cup$ 5-(28,13,200376)

11252 5-(29,13,305118) (complement has $\lambda=430353$)
TvT: 5-(28,12,101706) $\cup$ 5-(28,13,203412)
design of number 11373 with respect to smaller t
derived from number 11374

4547 5-(29,13,307395) (complement has $\lambda=428076$)
TvT: 5-(28,12,102465) $\cup$ 5-(28,13,204930)
design of number 7076 with respect to smaller t
derived from number 7530

11254 5-(29,13,321057) (complement has $\lambda=414414$)
TvT: 5-(28,12,107019) $\cup$ 5-(28,13,214038)
design of number 11570 with respect to smaller t
derived from number 11577

4549 5-(29,13,325611) (complement has $\lambda=409860$)
TvT: 5-(28,12,108537) $\cup$ 5-(28,13,217074)
design of number 7077 with respect to smaller t
derived from number 7531

11534 5-(29,13,327888) (complement has $\lambda=407583$)
TvT: 5-(28,12,109296) $\cup$ 5-(28,13,218592)

11255 5-(29,13,341550) (complement has $\lambda=393921$)
TvT: 5-(28,12,113850) $\cup$ 5-(28,13,227700)
design of number 11300 with respect to smaller t
derived from number 11304

4552 5-(29,13,346104) (complement has $\lambda=389367$)
TvT: 5-(28,12,115368) $\cup$ 5-(28,13,230736)

4554 5-(29,13,352935) (complement has $\lambda=382536$)
TvT: 5-(28,12,117645) $\cup$ 5-(28,13,235290)

4556 5-(29,13,366597) (complement has $\lambda=368874$)
TvT: 5-(28,12,122199) $\cup$ 5-(28,13,244398)
design of number 7078 with respect to smaller t
derived from number 7532

4558 5-(29,14,16192) (complement has $\lambda=1291312$)
TvT: 5-(28,13,6072) $\cup$ 5-(28,14,10120)

425 5-(29,14,105248) (complement has $\lambda=1202256$)
TvT: 5-(28,13,39468) $\cup$ 5-(28,14,65780)

11140 5-(29,14,115368) (complement has $\lambda=1192136$)
TvT: 5-(28,13,43263) $\cup$ 5-(28,14,72105)

11133 5-(29,14,153824) (complement has $\lambda=1153680$)
TvT: 5-(28,13,57684) $\cup$ 5-(28,14,96140)

11481 5-(29,14,159896) (complement has $\lambda=1147608$)
TvT: 5-(28,13,59961) $\cup$ 5-(28,14,99935)

430 5-(29,14,163944) (complement has $\lambda=1143560$)
TvT: 5-(28,13,61479) $\cup$ 5-(28,14,102465)

11363 5-(29,14,206448) (complement has $\lambda=1101056$)
TvT: 5-(28,13,77418) $\cup$ 5-(28,14,129030)

4565 5-(29,14,214544) (complement has $\lambda=1092960$)
TvT: 5-(28,13,80454) $\cup$ 5-(28,14,134090)

4572 5-(29,14,218592) (complement has $\lambda=1088912$)
TvT: 5-(28,13,81972) $\cup$ 5-(28,14,136620)

4579 5-(29,14,242880) (complement has $\lambda=1064624$)
TvT: 5-(28,13,91080) $\cup$ 5-(28,14,151800)
design of number 7152 with respect to smaller t
derived from number 7156
residual design of number 11301

4588 5-(29,14,269192) (complement has $\lambda=1038312$)
TvT: 5-(28,13,100947) $\cup$ 5-(28,14,168245)

11095 5-(29,14,273240) (complement has $\lambda=1034264$)
TvT: 5-(28,13,102465) $\cup$ 5-(28,14,170775)

19 5-(29,14,303600) (complement has $\lambda=1003904$)
TvT: 5-(28,13,113850) $\cup$ 5-(28,14,189750)

11256 5-(29,14,315744) (complement has $\lambda=991760$)
TvT: 5-(28,13,118404) $\cup$ 5-(28,14,197340)

4595 5-(29,14,323840) (complement has $\lambda=983664$)
TvT: 5-(28,13,121440) $\cup$ 5-(28,14,202400)

4602 5-(29,14,327888) (complement has $\lambda=979616$)
TvT: 5-(28,13,122958) $\cup$ 5-(28,14,204930)

11637 5-(29,14,360272) (complement has $\lambda=947232$)
TvT: 5-(28,13,135102) $\cup$ 5-(28,14,225170)
design of number 11645 with respect to smaller t
derived from number 11647
residual design of number 11652

4609 5-(29,14,364320) (complement has $\lambda=943184$)
TvT: 5-(28,13,136620) $\cup$ 5-(28,14,227700)
design of number 7086 with respect to smaller t
derived from number 7088
residual design of number 7527

11259 5-(29,14,372416) (complement has $\lambda=935088$)
TvT: 5-(28,13,139656) $\cup$ 5-(28,14,232760)

4616 5-(29,14,382536) (complement has $\lambda=924968$)
TvT: 5-(28,13,143451) $\cup$ 5-(28,14,239085)

4623 5-(29,14,396704) (complement has $\lambda=910800$)
TvT: 5-(28,13,148764) $\cup$ 5-(28,14,247940)

4630 5-(29,14,400752) (complement has $\lambda=906752$)
TvT: 5-(28,13,150282) $\cup$ 5-(28,14,250470)

4637 5-(29,14,425040) (complement has $\lambda=882464$)
TvT: 5-(28,13,159390) $\cup$ 5-(28,14,265650)
design of number 7092 with respect to smaller t
derived from number 7094
residual design of number 7528

4645 5-(29,14,433136) (complement has $\lambda=874368$)
TvT: 5-(28,13,162426) $\cup$ 5-(28,14,270710)

4652 5-(29,14,437184) (complement has $\lambda=870320$)
TvT: 5-(28,13,163944) $\cup$ 5-(28,14,273240)
design of number 11601 with respect to smaller t
derived from number 11603
residual design of number 11613

11366 5-(29,14,445280) (complement has $\lambda=862224$)
TvT: 5-(28,13,166980) $\cup$ 5-(28,14,278300)

4659 5-(29,14,457424) (complement has $\lambda=850080$)
TvT: 5-(28,13,171534) $\cup$ 5-(28,14,285890)
design of number 7098 with respect to smaller t
derived from number 7100

4666 5-(29,14,461472) (complement has $\lambda=846032$)
TvT: 5-(28,13,173052) $\cup$ 5-(28,14,288420)

4673 5-(29,14,481712) (complement has $\lambda=825792$)
TvT: 5-(28,13,180642) $\cup$ 5-(28,14,301070)

4680 5-(29,14,485760) (complement has $\lambda=821744$)
TvT: 5-(28,13,182160) $\cup$ 5-(28,14,303600)
design of number 7104 with respect to smaller t
derived from number 7106

11447 5-(29,14,491832) (complement has $\lambda=815672$)
TvT: 5-(28,13,184437) $\cup$ 5-(28,14,307395)

11394 5-(29,14,506000) (complement has $\lambda=801504$)
TvT: 5-(28,13,189750) $\cup$ 5-(28,14,316250)

4687 5-(29,14,518144) (complement has $\lambda=789360$)
TvT: 5-(28,13,194304) $\cup$ 5-(28,14,323840)
design of number 7110 with respect to smaller t
derived from number 7112
residual design of number 7529

4694 5-(29,14,534336) (complement has $\lambda=773168$)
TvT: 5-(28,13,200376) $\cup$ 5-(28,14,333960)

4701 5-(29,14,542432) (complement has $\lambda=765072$)
TvT: 5-(28,13,203412) $\cup$ 5-(28,14,339020)
design of number 7116 with respect to smaller t
derived from number 7118
residual design of number 11374

4708 5-(29,14,546480) (complement has $\lambda=761024$)
TvT: 5-(28,13,204930) $\cup$ 5-(28,14,341550)
design of number 7122 with respect to smaller t
derived from number 7124
residual design of number 7530

11262 5-(29,14,570768) (complement has $\lambda=736736$)
TvT: 5-(28,13,214038) $\cup$ 5-(28,14,356730)
design of number 11571 with respect to smaller t
derived from number 11573
residual design of number 11577

4715 5-(29,14,578864) (complement has $\lambda=728640$)
TvT: 5-(28,13,217074) $\cup$ 5-(28,14,361790)
design of number 7128 with respect to smaller t
derived from number 7130
residual design of number 7531

11540 5-(29,14,582912) (complement has $\lambda=724592$)
TvT: 5-(28,13,218592) $\cup$ 5-(28,14,364320)

11454 5-(29,14,597080) (complement has $\lambda=710424$)
TvT: 5-(28,13,223905) $\cup$ 5-(28,14,373175)

11457 5-(29,14,601128) (complement has $\lambda=706376$)
TvT: 5-(28,13,225423) $\cup$ 5-(28,14,375705)
design of number 11475 with respect to smaller t
derived from number 11477

4722 5-(29,14,607200) (complement has $\lambda=700304$)
TvT: 5-(28,13,227700) $\cup$ 5-(28,14,379500)
design of number 7134 with respect to smaller t
derived from number 7136
residual design of number 11304

4729 5-(29,14,615296) (complement has $\lambda=692208$)
TvT: 5-(28,13,230736) $\cup$ 5-(28,14,384560)

4736 5-(29,14,623392) (complement has $\lambda=684112$)
TvT: 5-(28,13,233772) $\cup$ 5-(28,14,389620)
TvT: 5-(28,13,233772) $\cup$ 5-(28,14,389620)

4743 5-(29,14,627440) (complement has $\lambda=680064$)
TvT: 5-(28,13,235290) $\cup$ 5-(28,14,392150)

4750 5-(29,14,639584) (complement has $\lambda=667920$)
TvT: 5-(28,13,239844) $\cup$ 5-(28,14,399740)
design of number 7140 with respect to smaller t
derived from number 7142

370 5-(29,14,649704) (complement has $\lambda=657800$)
TvT: 5-(28,13,243639) $\cup$ 5-(28,14,406065)

4757 5-(29,14,651728) (complement has $\lambda=655776$)
TvT: 5-(28,13,244398) $\cup$ 5-(28,14,407330)
design of number 7146 with respect to smaller t
derived from number 7148
residual design of number 7532

7535 5-(29,14,653752) (selfcomplementary)
derived from number 7533
derived from complement of number 7533
design of number 9274 with respect to smaller t
complementary design of number 9274 with respect to smaller t

4559 5-(29,15,24288) (complement has $\lambda=1936968$)
supplementary design of number 4558

426 5-(29,15,157872) (complement has $\lambda=1803384$)
supplementary design of number 425

11141 5-(29,15,173052) (complement has $\lambda=1788204$)
supplementary design of number 11140

11134 5-(29,15,230736) (complement has $\lambda=1730520$)
supplementary design of number 11133

11482 5-(29,15,239844) (complement has $\lambda=1721412$)
supplementary design of number 11481

431 5-(29,15,245916) (complement has $\lambda=1715340$)
supplementary design of number 430

11364 5-(29,15,309672) (complement has $\lambda=1651584$)
supplementary design of number 11363

4566 5-(29,15,321816) (complement has $\lambda=1639440$)
supplementary design of number 4565

4573 5-(29,15,327888) (complement has $\lambda=1633368$)
supplementary design of number 4572

4580 5-(29,15,364320) (complement has $\lambda=1596936$)
supplementary design of number 4579
design of number 7153 with respect to smaller t
residual design of number 7156

4589 5-(29,15,403788) (complement has $\lambda=1557468$)
supplementary design of number 4588

11096 5-(29,15,409860) (complement has $\lambda=1551396$)
supplementary design of number 11095

20 5-(29,15,455400) (complement has $\lambda=1505856$)
supplementary design of number 19

11257 5-(29,15,473616) (complement has $\lambda=1487640$)
supplementary design of number 11256

4596 5-(29,15,485760) (complement has $\lambda=1475496$)
supplementary design of number 4595

4603 5-(29,15,491832) (complement has $\lambda=1469424$)
supplementary design of number 4602

11638 5-(29,15,540408) (complement has $\lambda=1420848$)
supplementary design of number 11637
design of number 11646 with respect to smaller t
residual design of number 11647

4610 5-(29,15,546480) (complement has $\lambda=1414776$)
supplementary design of number 4609
design of number 7087 with respect to smaller t
residual design of number 7088

11260 5-(29,15,558624) (complement has $\lambda=1402632$)
supplementary design of number 11259

4617 5-(29,15,573804) (complement has $\lambda=1387452$)
supplementary design of number 4616

4624 5-(29,15,595056) (complement has $\lambda=1366200$)
supplementary design of number 4623

4631 5-(29,15,601128) (complement has $\lambda=1360128$)
supplementary design of number 4630

4638 5-(29,15,637560) (complement has $\lambda=1323696$)
supplementary design of number 4637
design of number 7093 with respect to smaller t
residual design of number 7094

4646 5-(29,15,649704) (complement has $\lambda=1311552$)
supplementary design of number 4645

4653 5-(29,15,655776) (complement has $\lambda=1305480$)
supplementary design of number 4652
design of number 11602 with respect to smaller t
residual design of number 11603
derived from number 11619

11367 5-(29,15,667920) (complement has $\lambda=1293336$)
supplementary design of number 11366

4660 5-(29,15,686136) (complement has $\lambda=1275120$)
supplementary design of number 4659
design of number 7099 with respect to smaller t
residual design of number 7100

4667 5-(29,15,692208) (complement has $\lambda=1269048$)
supplementary design of number 4666

4674 5-(29,15,722568) (complement has $\lambda=1238688$)
supplementary design of number 4673

4681 5-(29,15,728640) (complement has $\lambda=1232616$)
supplementary design of number 4680
design of number 7105 with respect to smaller t
residual design of number 7106

11448 5-(29,15,737748) (complement has $\lambda=1223508$)
supplementary design of number 11447

11395 5-(29,15,759000) (complement has $\lambda=1202256$)
supplementary design of number 11394

4688 5-(29,15,777216) (complement has $\lambda=1184040$)
supplementary design of number 4687
design of number 7111 with respect to smaller t
residual design of number 7112
derived from number 11566

4695 5-(29,15,801504) (complement has $\lambda=1159752$)
supplementary design of number 4694

4702 5-(29,15,813648) (complement has $\lambda=1147608$)
supplementary design of number 4701
design of number 7117 with respect to smaller t
residual design of number 7118

4709 5-(29,15,819720) (complement has $\lambda=1141536$)
supplementary design of number 4708
design of number 7123 with respect to smaller t
residual design of number 7124
derived from number 9336

11263 5-(29,15,856152) (complement has $\lambda=1105104$)
supplementary design of number 11262
design of number 11572 with respect to smaller t
residual design of number 11573

4716 5-(29,15,868296) (complement has $\lambda=1092960$)
supplementary design of number 4715
design of number 7129 with respect to smaller t
residual design of number 7130
derived from number 11555

11541 5-(29,15,874368) (complement has $\lambda=1086888$)
supplementary design of number 11540

11455 5-(29,15,895620) (complement has $\lambda=1065636$)
supplementary design of number 11454

11458 5-(29,15,901692) (complement has $\lambda=1059564$)
supplementary design of number 11457
design of number 11476 with respect to smaller t
residual design of number 11477

4723 5-(29,15,910800) (complement has $\lambda=1050456$)
supplementary design of number 4722
design of number 7135 with respect to smaller t
residual design of number 7136

4730 5-(29,15,922944) (complement has $\lambda=1038312$)
supplementary design of number 4729

4737 5-(29,15,935088) (complement has $\lambda=1026168$)
supplementary design of number 4736

4744 5-(29,15,941160) (complement has $\lambda=1020096$)
supplementary design of number 4743

4751 5-(29,15,959376) (complement has $\lambda=1001880$)
supplementary design of number 4750
design of number 7141 with respect to smaller t
residual design of number 7142

371 5-(29,15,974556) (complement has $\lambda=986700$)
supplementary design of number 370

4758 5-(29,15,977592) (complement has $\lambda=983664$)
supplementary design of number 4757
design of number 7147 with respect to smaller t
residual design of number 7148
derived from number 9341

7536 5-(29,15,980628) (selfcomplementary)
residual design of number 7533
residual design of complement of number 7533
supplementary design of number 7535
design of number 9275 with respect to smaller t
complementary design of number 9275 with respect to smaller t

11622 5-(29,16,834624) (complement has $\lambda=1661520$)
residual design of number 11619

11567 5-(29,16,989184) (complement has $\lambda=1506960$)
residual design of number 11566

9337 5-(29,16,1043280) (complement has $\lambda=1452864$)
residual design of number 9336

11556 5-(29,16,1105104) (complement has $\lambda=1391040$)
residual design of number 11555

9342 5-(29,16,1244208) (complement has $\lambda=1251936$)
residual design of number 9341

7203 6-(29,8,36) (complement has $\lambda=217$)
$P\Gamma L(2,27)+$ (8 isom. types) \cite{Bettenetal97b}

7206 6-(29,8,42) (complement has $\lambda=211$)
$P\Gamma L(2,27)+$ (31 isom. types) \cite{Bettenetal97b}

7216 6-(29,8,43) (complement has $\lambda=210$)
$P\Gamma L(2,27)+$ (43 isom. types) \cite{Bettenetal97b}

7219 6-(29,8,49) (complement has $\lambda=204$)
$P\Gamma L(2,27)+$ (479 isom. types) \cite{Bettenetal97b}

7229 6-(29,8,57) (complement has $\lambda=196$)
$P\Gamma L(2,27)+$ (5177 isom. types) \cite{Bettenetal97b}

7239 6-(29,8,63) (complement has $\lambda=190$)
$P\Gamma L(2,27)+$ (17195 isom. types) \cite{Bettenetal97b}

7249 6-(29,8,64) (complement has $\lambda=189$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

28 6-(29,8,69) (complement has $\lambda=184$)
TvT: 6-(28,7,6) $\cup$ 6-(28,8,63)

7254 6-(29,8,70) (complement has $\lambda=183$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7264 6-(29,8,78) (complement has $\lambda=175$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7274 6-(29,8,84) (complement has $\lambda=169$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7284 6-(29,8,85) (complement has $\lambda=168$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7290 6-(29,8,91) (complement has $\lambda=162$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

10657 6-(29,8,93) (complement has $\lambda=160$)
derived from number 10655

7300 6-(29,8,99) (complement has $\lambda=154$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

10647 6-(29,8,100) (complement has $\lambda=153$)
derived from number 10645

7163 6-(29,8,105) (complement has $\lambda=148$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}
derived from number 9278

7172 6-(29,8,106) (complement has $\lambda=147$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7182 6-(29,8,112) (complement has $\lambda=141$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}
derived from number 9279

7191 6-(29,8,120) (complement has $\lambda=133$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7197 6-(29,8,126) (complement has $\lambda=127$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7307 6-(29,9,105) (complement has $\lambda=1666$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7314 6-(29,9,126) (complement has $\lambda=1645$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7324 6-(29,9,154) (complement has $\lambda=1617$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7331 6-(29,9,252) (complement has $\lambda=1519$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7337 6-(29,9,294) (complement has $\lambda=1477$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7343 6-(29,9,322) (complement has $\lambda=1449$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7348 6-(29,9,406) (complement has $\lambda=1365$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7358 6-(29,9,448) (complement has $\lambda=1323$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7361 6-(29,9,469) (complement has $\lambda=1302$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7371 6-(29,9,483) (complement has $\lambda=1288$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7372 6-(29,9,504) (complement has $\lambda=1267$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7378 6-(29,9,532) (complement has $\lambda=1239$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7384 6-(29,9,595) (complement has $\lambda=1176$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7385 6-(29,9,630) (complement has $\lambda=1141$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

10658 6-(29,9,651) (complement has $\lambda=1120$)
residual design of number 10655
derived from number 10656

7395 6-(29,9,672) (complement has $\lambda=1099$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7401 6-(29,9,693) (complement has $\lambda=1078$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

10648 6-(29,9,700) (complement has $\lambda=1071$)
residual design of number 10645
derived from number 10646

7407 6-(29,9,735) (complement has $\lambda=1036$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}
residual design of number 9278

7410 6-(29,9,756) (complement has $\lambda=1015$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7411 6-(29,9,784) (complement has $\lambda=987$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}
residual design of number 9279

7414 6-(29,9,798) (complement has $\lambda=973$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7424 6-(29,9,819) (complement has $\lambda=952$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7430 6-(29,9,826) (complement has $\lambda=945$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7440 6-(29,9,840) (complement has $\lambda=931$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7446 6-(29,9,861) (complement has $\lambda=910$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7452 6-(29,9,882) (complement has $\lambda=889$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

9181 6-(29,10,2415) (complement has $\lambda=6440$)
design of number 9180 with respect to smaller t

10659 6-(29,10,3255) (complement has $\lambda=5600$)
residual design of number 10656

10649 6-(29,10,3500) (complement has $\lambda=5355$)
residual design of number 10646

7059 6-(29,10,4095) (complement has $\lambda=4760$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

7065 6-(29,10,4305) (complement has $\lambda=4550$)
$P\Gamma L(2,27)+$ \cite{Bettenetal97b}

9191 6-(29,11,9798) (complement has $\lambda=23851$)
design of number 9190 with respect to smaller t

7075 6-(29,11,12397) (complement has $\lambda=21252$)
TvT: 6-(28,10,2695) $\cup$ 6-(28,11,9702)

9211 6-(29,11,15939) (complement has $\lambda=17710$)
design of number 9210 with respect to smaller t

11297 6-(29,13,45540) (complement has $\lambda=199617$)
TvT: 6-(28,12,13860) $\cup$ 6-(28,13,31680)

11643 6-(29,13,67551) (complement has $\lambda=177606$)
TvT: 6-(28,12,20559) $\cup$ 6-(28,13,46992)

7079 6-(29,13,68310) (complement has $\lambda=176847$)
TvT: 6-(28,12,20790) $\cup$ 6-(28,13,47520)

7080 6-(29,13,79695) (complement has $\lambda=165462$)
TvT: 6-(28,12,24255) $\cup$ 6-(28,13,55440)

11593 6-(29,13,81972) (complement has $\lambda=163185$)
TvT: 6-(28,12,24948) $\cup$ 6-(28,13,57024)
design of number 11600 with respect to smaller t
derived from number 11612

7085 6-(29,13,97152) (complement has $\lambda=148005$)
TvT: 6-(28,12,29568) $\cup$ 6-(28,13,67584)
design of number 11562 with respect to smaller t
derived from number 11563

11373 6-(29,13,101706) (complement has $\lambda=143451$)
TvT: 6-(28,12,30954) $\cup$ 6-(28,13,70752)

7076 6-(29,13,102465) (complement has $\lambda=142692$)
TvT: 6-(28,12,31185) $\cup$ 6-(28,13,71280)
design of number 9214 with respect to smaller t
derived from number 9271

11570 6-(29,13,107019) (complement has $\lambda=138138$)
TvT: 6-(28,12,32571) $\cup$ 6-(28,13,74448)

7077 6-(29,13,108537) (complement has $\lambda=136620$)
TvT: 6-(28,12,33033) $\cup$ 6-(28,13,75504)
design of number 11551 with respect to smaller t
derived from number 11552

11300 6-(29,13,113850) (complement has $\lambda=131307$)
TvT: 6-(28,12,34650) $\cup$ 6-(28,13,79200)

7078 6-(29,13,122199) (complement has $\lambda=122958$)
TvT: 6-(28,12,37191) $\cup$ 6-(28,13,85008)
design of number 9215 with respect to smaller t
derived from number 9272

7152 6-(29,14,91080) (complement has $\lambda=399234$)
TvT: 6-(28,13,31680) $\cup$ 6-(28,14,59400)
derived from number 7157
design of number 9216 with respect to smaller t

11645 6-(29,14,135102) (complement has $\lambda=355212$)
TvT: 6-(28,13,46992) $\cup$ 6-(28,14,88110)
derived from number 11648

7086 6-(29,14,136620) (complement has $\lambda=353694$)
TvT: 6-(28,13,47520) $\cup$ 6-(28,14,89100)
derived from number 7089
design of number 9221 with respect to smaller t

7092 6-(29,14,159390) (complement has $\lambda=330924$)
TvT: 6-(28,13,55440) $\cup$ 6-(28,14,103950)
derived from number 7095
design of number 9226 with respect to smaller t

11601 6-(29,14,163944) (complement has $\lambda=326370$)
TvT: 6-(28,13,57024) $\cup$ 6-(28,14,106920)
derived from number 11604
design of number 11607 with respect to smaller t
residual design of number 11612

7098 6-(29,14,171534) (complement has $\lambda=318780$)
TvT: 6-(28,13,59664) $\cup$ 6-(28,14,111870)
derived from number 7101
design of number 9231 with respect to smaller t

7104 6-(29,14,182160) (complement has $\lambda=308154$)
TvT: 6-(28,13,63360) $\cup$ 6-(28,14,118800)
derived from number 7107
design of number 9236 with respect to smaller t

7110 6-(29,14,194304) (complement has $\lambda=296010$)
TvT: 6-(28,13,67584) $\cup$ 6-(28,14,126720)
derived from number 7113
design of number 9241 with respect to smaller t
residual design of number 11563

7116 6-(29,14,203412) (complement has $\lambda=286902$)
TvT: 6-(28,13,70752) $\cup$ 6-(28,14,132660)
derived from number 7119

7122 6-(29,14,204930) (complement has $\lambda=285384$)
TvT: 6-(28,13,71280) $\cup$ 6-(28,14,133650)
derived from number 7125
design of number 9246 with respect to smaller t
residual design of number 9271

11571 6-(29,14,214038) (complement has $\lambda=276276$)
TvT: 6-(28,13,74448) $\cup$ 6-(28,14,139590)
derived from number 11574

7128 6-(29,14,217074) (complement has $\lambda=273240$)
TvT: 6-(28,13,75504) $\cup$ 6-(28,14,141570)
derived from number 7131
design of number 9251 with respect to smaller t
residual design of number 11552

11475 6-(29,14,225423) (complement has $\lambda=264891$)
TvT: 6-(28,13,78408) $\cup$ 6-(28,14,147015)
derived from number 11478

7134 6-(29,14,227700) (complement has $\lambda=262614$)
TvT: 6-(28,13,79200) $\cup$ 6-(28,14,148500)
derived from number 7137
design of number 9256 with respect to smaller t

7140 6-(29,14,239844) (complement has $\lambda=250470$)
TvT: 6-(28,13,83424) $\cup$ 6-(28,14,156420)
derived from number 7143
design of number 9261 with respect to smaller t

7146 6-(29,14,244398) (complement has $\lambda=245916$)
TvT: 6-(28,13,85008) $\cup$ 6-(28,14,159390)
derived from number 7149
design of number 9266 with respect to smaller t
residual design of number 9272

9274 6-(29,14,245157) (selfcomplementary)
derived from number 9273
derived from complement of number 9273

7153 6-(29,15,151800) (complement has $\lambda=665390$)
supplementary design of number 7152
residual design of number 7157
design of number 9217 with respect to smaller t

11646 6-(29,15,225170) (complement has $\lambda=592020$)
supplementary design of number 11645
residual design of number 11648

7087 6-(29,15,227700) (complement has $\lambda=589490$)
supplementary design of number 7086
residual design of number 7089
design of number 9222 with respect to smaller t

7093 6-(29,15,265650) (complement has $\lambda=551540$)
supplementary design of number 7092
residual design of number 7095
design of number 9227 with respect to smaller t

11602 6-(29,15,273240) (complement has $\lambda=543950$)
supplementary design of number 11601
residual design of number 11604
design of number 11608 with respect to smaller t

7099 6-(29,15,285890) (complement has $\lambda=531300$)
supplementary design of number 7098
residual design of number 7101
design of number 9232 with respect to smaller t

7105 6-(29,15,303600) (complement has $\lambda=513590$)
supplementary design of number 7104
residual design of number 7107
design of number 9237 with respect to smaller t

7111 6-(29,15,323840) (complement has $\lambda=493350$)
supplementary design of number 7110
residual design of number 7113
design of number 9242 with respect to smaller t

7117 6-(29,15,339020) (complement has $\lambda=478170$)
supplementary design of number 7116
residual design of number 7119

7123 6-(29,15,341550) (complement has $\lambda=475640$)
supplementary design of number 7122
residual design of number 7125
design of number 9247 with respect to smaller t

11572 6-(29,15,356730) (complement has $\lambda=460460$)
supplementary design of number 11571
residual design of number 11574

7129 6-(29,15,361790) (complement has $\lambda=455400$)
supplementary design of number 7128
residual design of number 7131
design of number 9252 with respect to smaller t

11476 6-(29,15,375705) (complement has $\lambda=441485$)
supplementary design of number 11475
residual design of number 11478

7135 6-(29,15,379500) (complement has $\lambda=437690$)
supplementary design of number 7134
residual design of number 7137
design of number 9257 with respect to smaller t

7141 6-(29,15,399740) (complement has $\lambda=417450$)
supplementary design of number 7140
residual design of number 7143
design of number 9262 with respect to smaller t

7147 6-(29,15,407330) (complement has $\lambda=409860$)
supplementary design of number 7146
residual design of number 7149
design of number 9267 with respect to smaller t

9275 6-(29,15,408595) (selfcomplementary)
residual design of number 9273
residual design of complement of number 9273
supplementary design of number 9274

9180 7-(29,10,420) (complement has $\lambda=1120$)
$P\Gamma L(2,27)+$ (>= 1 isom. types) \cite{Bettenetal97b}

9190 7-(29,11,2130) (complement has $\lambda=5185$)
$P\Gamma L(2,27)+$ (>= 1 isom. types)

9210 7-(29,11,3465) (complement has $\lambda=3850$)
$P\Gamma L(2,27)+$ (>= 1 isom. types)

11600 7-(29,13,24948) (complement has $\lambda=49665$)
TvT: 7-(28,12,6804) $\cup$ 7-(28,13,18144)

11562 7-(29,13,29568) (complement has $\lambda=45045$)
TvT: 7-(28,12,8064) $\cup$ 7-(28,13,21504)

9214 7-(29,13,31185) (complement has $\lambda=43428$)
TvT: 7-(28,12,8505) $\cup$ 7-(28,13,22680)

11551 7-(29,13,33033) (complement has $\lambda=41580$)
TvT: 7-(28,12,9009) $\cup$ 7-(28,13,24024)

9215 7-(29,13,37191) (complement has $\lambda=37422$)
TvT: 7-(28,12,10143) $\cup$ 7-(28,13,27048)

9216 7-(29,14,31680) (complement has $\lambda=138864$)
TvT: 7-(28,13,10080) $\cup$ 7-(28,14,21600)

9221 7-(29,14,47520) (complement has $\lambda=123024$)
TvT: 7-(28,13,15120) $\cup$ 7-(28,14,32400)

9226 7-(29,14,55440) (complement has $\lambda=115104$)
TvT: 7-(28,13,17640) $\cup$ 7-(28,14,37800)

11607 7-(29,14,57024) (complement has $\lambda=113520$)
TvT: 7-(28,13,18144) $\cup$ 7-(28,14,38880)

9231 7-(29,14,59664) (complement has $\lambda=110880$)
TvT: 7-(28,13,18984) $\cup$ 7-(28,14,40680)

9236 7-(29,14,63360) (complement has $\lambda=107184$)
TvT: 7-(28,13,20160) $\cup$ 7-(28,14,43200)

9241 7-(29,14,67584) (complement has $\lambda=102960$)
TvT: 7-(28,13,21504) $\cup$ 7-(28,14,46080)

9246 7-(29,14,71280) (complement has $\lambda=99264$)
TvT: 7-(28,13,22680) $\cup$ 7-(28,14,48600)

9251 7-(29,14,75504) (complement has $\lambda=95040$)
TvT: 7-(28,13,24024) $\cup$ 7-(28,14,51480)

9256 7-(29,14,79200) (complement has $\lambda=91344$)
TvT: 7-(28,13,25200) $\cup$ 7-(28,14,54000)

9261 7-(29,14,83424) (complement has $\lambda=87120$)
TvT: 7-(28,13,26544) $\cup$ 7-(28,14,56880)

9266 7-(29,14,85008) (complement has $\lambda=85536$)
TvT: 7-(28,13,27048) $\cup$ 7-(28,14,57960)

9217 7-(29,15,59400) (complement has $\lambda=260370$)
supplementary design of number 9216

9222 7-(29,15,89100) (complement has $\lambda=230670$)
supplementary design of number 9221

9227 7-(29,15,103950) (complement has $\lambda=215820$)
supplementary design of number 9226

11608 7-(29,15,106920) (complement has $\lambda=212850$)
supplementary design of number 11607

9232 7-(29,15,111870) (complement has $\lambda=207900$)
supplementary design of number 9231

9237 7-(29,15,118800) (complement has $\lambda=200970$)
supplementary design of number 9236

9242 7-(29,15,126720) (complement has $\lambda=193050$)
supplementary design of number 9241

9247 7-(29,15,133650) (complement has $\lambda=186120$)
supplementary design of number 9246

9252 7-(29,15,141570) (complement has $\lambda=178200$)
supplementary design of number 9251

9257 7-(29,15,148500) (complement has $\lambda=171270$)
supplementary design of number 9256

9262 7-(29,15,156420) (complement has $\lambda=163350$)
supplementary design of number 9261

9267 7-(29,15,159390) (complement has $\lambda=160380$)
supplementary design of number 9266


on 30 points:


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}

4872 5-(30,7,90) (complement has $\lambda=210$)
$PSL(2,29)$ many solutions

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

4876 5-(30,8,100) (complement has $\lambda=2200$)
\cite{Kreher95}

4880 5-(30,8,200) (complement has $\lambda=2100$)
TvT: 5-(29,7,24) $\cup$ 5-(29,8,176)

7643 5-(30,8,300) (complement has $\lambda=2000$)
derived from number 7641

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

4888 5-(30,9,750) (complement has $\lambda=11900$)
TvT: 5-(29,8,120) $\cup$ 5-(29,9,630)

4885 5-(30,9,1100) (complement has $\lambda=11550$)
TvT: 5-(29,8,176) $\cup$ 5-(29,9,924)

7644 5-(30,9,1650) (complement has $\lambda=11000$)
residual design of number 7641

7556 5-(30,9,1800) (complement has $\lambda=10850$)
design of number 7555 with respect to smaller t
derived from number 7578

7559 5-(30,9,2100) (complement has $\lambda=10550$)
design of number 7558 with respect to smaller t
derived from number 7581

42 5-(30,9,2300) (complement has $\lambda=10350$)
TvT: 5-(29,8,368) $\cup$ 5-(29,9,1932)

9285 5-(30,9,3000) (complement has $\lambda=9650$)
derived from number 9281
design of number 9282 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

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

7565 5-(30,9,4250) (complement has $\lambda=8400$)
design of number 7564 with respect to smaller t
derived from number 7587

9304 5-(30,9,4650) (complement has $\lambda=8000$)
derived from number 9300
design of number 9301 with respect to smaller t

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

9323 5-(30,9,5000) (complement has $\lambda=7650$)
derived from number 9319
design of number 9320 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

7573 5-(30,9,5600) (complement has $\lambda=7050$)
design of number 7572 with respect to smaller t
derived from number 7595

7576 5-(30,9,6000) (complement has $\lambda=6650$)
design of number 7575 with respect to smaller t

7553 5-(30,9,6300) (complement has $\lambda=6350$)
design of number 7552 with respect to smaller t
derived from number 7598

7459 5-(30,10,7560) (complement has $\lambda=45570$)
design of number 7458 with respect to smaller t
residual design of number 7578

7465 5-(30,10,8820) (complement has $\lambda=44310$)
design of number 7464 with respect to smaller t
residual design of number 7581

9286 5-(30,10,12600) (complement has $\lambda=40530$)
residual design of number 9281
design of number 9283 with respect to smaller t

7471 5-(30,10,13440) (complement has $\lambda=39690$)
design of number 7470 with respect to smaller t
residual design of number 7584

38 5-(30,10,14490) (complement has $\lambda=38640$)
residual design of number 37
design of number 4192 with respect to smaller t
TvT: 5-(29,9,2898) $\cup$ 5-(29,10,11592)

7477 5-(30,10,17850) (complement has $\lambda=35280$)
design of number 7476 with respect to smaller t
residual design of number 7587

9305 5-(30,10,19530) (complement has $\lambda=33600$)
residual design of number 9300
design of number 9302 with respect to smaller t

7483 5-(30,10,20790) (complement has $\lambda=32340$)
design of number 7482 with respect to smaller t
residual design of number 7590

9324 5-(30,10,21000) (complement has $\lambda=32130$)
residual design of number 9319
design of number 9321 with respect to smaller t

7489 5-(30,10,22050) (complement has $\lambda=31080$)
design of number 7488 with respect to smaller t
residual design of number 7592

7495 5-(30,10,23520) (complement has $\lambda=29610$)
design of number 7494 with respect to smaller t
residual design of number 7595

7501 5-(30,10,24570) (complement has $\lambda=28560$)
design of number 7500 with respect to smaller t

7504 5-(30,10,24780) (complement has $\lambda=28350$)
design of number 7503 with respect to smaller t

7510 5-(30,10,25410) (complement has $\lambda=27720$)
design of number 7509 with respect to smaller t

7519 5-(30,10,25830) (complement has $\lambda=27300$)
design of number 7518 with respect to smaller t

7522 5-(30,10,26460) (complement has $\lambda=26670$)
design of number 7521 with respect to smaller t
residual design of number 7598

4814 5-(30,12,220) (complement has $\lambda=480480$)
\cite{MacWilliamsetal78}

11369 5-(30,12,75900) (complement has $\lambda=404800$)
TvT: 5-(29,11,21252) $\cup$ 5-(29,12,54648)

4812 5-(30,12,177100) (complement has $\lambda=303600$)
TvT: 5-(29,11,49588) $\cup$ 5-(29,12,127512)

11370 5-(30,13,170775) (complement has $\lambda=910800$)
TvT: 5-(29,12,54648) $\cup$ 5-(29,13,116127)

4818 5-(30,13,398475) (complement has $\lambda=683100$)
TvT: 5-(29,12,127512) $\cup$ 5-(29,13,270963)

4824 5-(30,14,5390) (complement has $\lambda=2037585$)
\cite{MacWilliamsetal78}

4831 5-(30,14,56375) (complement has $\lambda=1986600$)
\cite{MacWilliamsetal78}

11371 5-(30,14,322575) (complement has $\lambda=1720400$)
TvT: 5-(29,13,116127) $\cup$ 5-(29,14,206448)

11265 5-(30,14,341550) (complement has $\lambda=1701425$)
TvT: 5-(29,13,122958) $\cup$ 5-(29,14,218592)

11302 5-(30,14,379500) (complement has $\lambda=1663475$)
design of number 11301 with respect to smaller t
derived from number 11305
TvT: 5-(29,13,136620) $\cup$ 5-(29,14,242880)

11266 5-(30,14,493350) (complement has $\lambda=1549625$)
TvT: 5-(29,13,177606) $\cup$ 5-(29,14,315744)

11397 5-(30,14,506000) (complement has $\lambda=1536975$)
TvT: 5-(29,13,182160) $\cup$ 5-(29,14,323840)

4822 5-(30,14,512325) (complement has $\lambda=1530650$)
TvT: 5-(29,13,184437) $\cup$ 5-(29,14,327888)

11651 5-(30,14,562925) (complement has $\lambda=1480050$)
TvT: 5-(29,13,202653) $\cup$ 5-(29,14,360272)
design of number 11652 with respect to smaller t
derived from number 11657

4838 5-(30,14,569250) (complement has $\lambda=1473725$)
TvT: 5-(29,13,204930) $\cup$ 5-(29,14,364320)
design of number 7527 with respect to smaller t
derived from number 7609

11412 5-(30,14,581900) (complement has $\lambda=1461075$)
TvT: 5-(29,13,209484) $\cup$ 5-(29,14,372416)

4840 5-(30,14,619850) (complement has $\lambda=1423125$)
TvT: 5-(29,13,223146) $\cup$ 5-(29,14,396704)

4842 5-(30,14,626175) (complement has $\lambda=1416800$)
TvT: 5-(29,13,225423) $\cup$ 5-(29,14,400752)

4844 5-(30,14,664125) (complement has $\lambda=1378850$)
TvT: 5-(29,13,239085) $\cup$ 5-(29,14,425040)
design of number 7528 with respect to smaller t
derived from number 7615

4846 5-(30,14,676775) (complement has $\lambda=1366200$)
TvT: 5-(29,13,243639) $\cup$ 5-(29,14,433136)

4848 5-(30,14,683100) (complement has $\lambda=1359875$)
TvT: 5-(29,13,245916) $\cup$ 5-(29,14,437184)
design of number 11613 with respect to smaller t
derived from number 11616

11423 5-(30,14,695750) (complement has $\lambda=1347225$)
TvT: 5-(29,13,250470) $\cup$ 5-(29,14,445280)

4850 5-(30,14,721050) (complement has $\lambda=1321925$)
TvT: 5-(29,13,259578) $\cup$ 5-(29,14,461472)

4852 5-(30,14,752675) (complement has $\lambda=1290300$)
TvT: 5-(29,13,270963) $\cup$ 5-(29,14,481712)

11398 5-(30,14,790625) (complement has $\lambda=1252350$)
TvT: 5-(29,13,284625) $\cup$ 5-(29,14,506000)

4854 5-(30,14,809600) (complement has $\lambda=1233375$)
TvT: 5-(29,13,291456) $\cup$ 5-(29,14,518144)
design of number 7529 with respect to smaller t
derived from number 7621

4856 5-(30,14,834900) (complement has $\lambda=1208075$)
TvT: 5-(29,13,300564) $\cup$ 5-(29,14,534336)

11268 5-(30,14,847550) (complement has $\lambda=1195425$)
TvT: 5-(29,13,305118) $\cup$ 5-(29,14,542432)
design of number 11374 with respect to smaller t
derived from number 11375

4858 5-(30,14,853875) (complement has $\lambda=1189100$)
TvT: 5-(29,13,307395) $\cup$ 5-(29,14,546480)
design of number 7530 with respect to smaller t
derived from number 7627

11270 5-(30,14,891825) (complement has $\lambda=1151150$)
TvT: 5-(29,13,321057) $\cup$ 5-(29,14,570768)
design of number 11577 with respect to smaller t
derived from number 11578

4860 5-(30,14,904475) (complement has $\lambda=1138500$)
TvT: 5-(29,13,325611) $\cup$ 5-(29,14,578864)
design of number 7531 with respect to smaller t
derived from number 7633

11543 5-(30,14,910800) (complement has $\lambda=1132175$)
TvT: 5-(29,13,327888) $\cup$ 5-(29,14,582912)

11271 5-(30,14,948750) (complement has $\lambda=1094225$)
TvT: 5-(29,13,341550) $\cup$ 5-(29,14,607200)
design of number 11304 with respect to smaller t
derived from number 11318

4862 5-(30,14,961400) (complement has $\lambda=1081575$)
TvT: 5-(29,13,346104) $\cup$ 5-(29,14,615296)

4864 5-(30,14,980375) (complement has $\lambda=1062600$)
TvT: 5-(29,13,352935) $\cup$ 5-(29,14,627440)

4820 5-(30,14,1018325) (complement has $\lambda=1024650$)
TvT: 5-(29,13,366597) $\cup$ 5-(29,14,651728)
design of number 7532 with respect to smaller t
derived from number 7601

4830 5-(30,15,8624) (complement has $\lambda=3260136$)
Alltop construction for design number 4827
Alltop construction

4561 5-(30,15,40480) (complement has $\lambda=3228280$)
Tran van Trung construction with supplementary design for design number 4558
Alltop construction for design number 4560

4837 5-(30,15,90200) (complement has $\lambda=3178560$)
Alltop construction for design number 4834
Alltop construction

10723 5-(30,15,242880) (complement has $\lambda=3025880$)
Alltop construction for design number 10720

388 5-(30,15,263120) (complement has $\lambda=3005640$)
Alltop construction for design number 385
Tran van Trung construction with supplementary design for design number 425

11128 5-(30,15,288420) (complement has $\lambda=2980340$)
Alltop construction for design number 11125
Tran van Trung construction with supplementary design for design number 11140

11136 5-(30,15,384560) (complement has $\lambda=2884200$)
Tran van Trung construction with supplementary design for design number 11133
Alltop construction for design number 11135

11430 5-(30,15,399740) (complement has $\lambda=2869020$)
Alltop construction for design number 11427
Tran van Trung construction with supplementary design for design number 11481

392 5-(30,15,409860) (complement has $\lambda=2858900$)
Alltop construction for design number 389
Tran van Trung construction with supplementary design for design number 430

11342 5-(30,15,516120) (complement has $\lambda=2752640$)
Alltop construction for design number 11339
Tran van Trung construction with supplementary design for design number 11363

4568 5-(30,15,536360) (complement has $\lambda=2732400$)
Tran van Trung construction with supplementary design for design number 4565
Alltop construction for design number 4567

4575 5-(30,15,546480) (complement has $\lambda=2722280$)
Tran van Trung construction with supplementary design for design number 4572
Alltop construction for design number 4574

4584 5-(30,15,607200) (complement has $\lambda=2661560$)
Tran van Trung construction with supplementary design for design number 4579
Alltop construction for design number 4581
design of number 7156 with respect to smaller t
residual design of number 11305
derived from number 11306

4591 5-(30,15,672980) (complement has $\lambda=2595780$)
Tran van Trung construction with supplementary design for design number 4588
Alltop construction for design number 4590

11089 5-(30,15,683100) (complement has $\lambda=2585660$)
Alltop construction for design number 11086
Tran van Trung construction with supplementary design for design number 11095

694 5-(30,15,728640) (complement has $\lambda=2540120$)
Alltop construction for design number 691

9 5-(30,15,759000) (complement has $\lambda=2509760$)
Alltop construction for design number 6
Tran van Trung construction with supplementary design for design number 19

11182 5-(30,15,789360) (complement has $\lambda=2479400$)
Alltop construction for design number 11179
Tran van Trung construction with supplementary design for design number 11256

4598 5-(30,15,809600) (complement has $\lambda=2459160$)
Tran van Trung construction with supplementary design for design number 4595
Alltop construction for design number 4597

4605 5-(30,15,819720) (complement has $\lambda=2449040$)
Tran van Trung construction with supplementary design for design number 4602
Alltop construction for design number 4604

11632 5-(30,15,900680) (complement has $\lambda=2368080$)
Alltop construction for design number 11629
Tran van Trung construction with supplementary design for design number 11637
design of number 11647 with respect to smaller t
residual design of number 11657
derived from number 11658

4612 5-(30,15,910800) (complement has $\lambda=2357960$)
Tran van Trung construction with supplementary design for design number 4609
Alltop construction for design number 4611
design of number 7088 with respect to smaller t
residual design of number 7609
derived from number 7610

622 5-(30,15,931040) (complement has $\lambda=2337720$)
Alltop construction for design number 619
Tran van Trung construction with supplementary design for design number 11259

438 5-(30,15,946220) (complement has $\lambda=2322540$)
Alltop construction for design number 435

4619 5-(30,15,956340) (complement has $\lambda=2312420$)
Tran van Trung construction with supplementary design for design number 4616
Alltop construction for design number 4618

396 5-(30,15,986700) (complement has $\lambda=2282060$)
Alltop construction for design number 393

4626 5-(30,15,991760) (complement has $\lambda=2277000$)
Tran van Trung construction with supplementary design for design number 4623
Alltop construction for design number 4625

4633 5-(30,15,1001880) (complement has $\lambda=2266880$)
Tran van Trung construction with supplementary design for design number 4630
Alltop construction for design number 4632

4641 5-(30,15,1062600) (complement has $\lambda=2206160$)
Tran van Trung construction with supplementary design for design number 4637
Alltop construction for design number 4639
design of number 7094 with respect to smaller t
residual design of number 7615
derived from number 7616

4648 5-(30,15,1082840) (complement has $\lambda=2185920$)
Tran van Trung construction with supplementary design for design number 4645
Alltop construction for design number 4647

4655 5-(30,15,1092960) (complement has $\lambda=2175800$)
Tran van Trung construction with supplementary design for design number 4652
Alltop construction for design number 4654
design of number 11603 with respect to smaller t
residual design of number 11616
derived from number 11618

400 5-(30,15,1098020) (complement has $\lambda=2170740$)
Alltop construction for design number 397

817 5-(30,15,1113200) (complement has $\lambda=2155560$)
Alltop construction for design number 814
Tran van Trung construction with supplementary design for design number 11366

4662 5-(30,15,1143560) (complement has $\lambda=2125200$)
Tran van Trung construction with supplementary design for design number 4659
Alltop construction for design number 4661
design of number 7100 with respect to smaller t

4669 5-(30,15,1153680) (complement has $\lambda=2115080$)
Tran van Trung construction with supplementary design for design number 4666
Alltop construction for design number 4668

404 5-(30,15,1168860) (complement has $\lambda=2099900$)
Alltop construction for design number 401

4676 5-(30,15,1204280) (complement has $\lambda=2064480$)
Tran van Trung construction with supplementary design for design number 4673
Alltop construction for design number 4675

4683 5-(30,15,1214400) (complement has $\lambda=2054360$)
Tran van Trung construction with supplementary design for design number 4680
Alltop construction for design number 4682
design of number 7106 with respect to smaller t

11450 5-(30,15,1229580) (complement has $\lambda=2039180$)
Tran van Trung construction with supplementary design for design number 11447
Alltop construction for design number 11449

805 5-(30,15,1249820) (complement has $\lambda=2018940$)
Alltop construction for design number 802

408 5-(30,15,1265000) (complement has $\lambda=2003760$)
Alltop construction for design number 405
Tran van Trung construction with supplementary design for design number 11394

455 5-(30,15,1280180) (complement has $\lambda=1988580$)
Alltop construction for design number 452

4690 5-(30,15,1295360) (complement has $\lambda=1973400$)
Tran van Trung construction with supplementary design for design number 4687
Alltop construction for design number 4689
design of number 7112 with respect to smaller t
residual design of number 7621
derived from number 7622

442 5-(30,15,1320660) (complement has $\lambda=1948100$)
Alltop construction for design number 439

4697 5-(30,15,1335840) (complement has $\lambda=1932920$)
Tran van Trung construction with supplementary design for design number 4694
Alltop construction for design number 4696

4704 5-(30,15,1356080) (complement has $\lambda=1912680$)
Tran van Trung construction with supplementary design for design number 4701
Alltop construction for design number 4703
design of number 7118 with respect to smaller t
residual design of number 11375
derived from number 11376

4711 5-(30,15,1366200) (complement has $\lambda=1902560$)
Tran van Trung construction with supplementary design for design number 4708
Alltop construction for design number 4710
design of number 7124 with respect to smaller t
residual design of number 7627
derived from number 7628

446 5-(30,15,1376320) (complement has $\lambda=1892440$)
Alltop construction for design number 443

11186 5-(30,15,1426920) (complement has $\lambda=1841840$)
Alltop construction for design number 11183
Tran van Trung construction with supplementary design for design number 11262
design of number 11573 with respect to smaller t
residual design of number 11578
derived from number 11579

11132 5-(30,15,1442100) (complement has $\lambda=1826660$)
Alltop construction for design number 11129

4718 5-(30,15,1447160) (complement has $\lambda=1821600$)
Tran van Trung construction with supplementary design for design number 4715
Alltop construction for design number 4717
design of number 7130 with respect to smaller t
residual design of number 7633
derived from number 7634

11538 5-(30,15,1457280) (complement has $\lambda=1811480$)
Alltop construction for design number 11535
Tran van Trung construction with supplementary design for design number 11540

11434 5-(30,15,1492700) (complement has $\lambda=1776060$)
Alltop construction for design number 11431
Tran van Trung construction with supplementary design for design number 11454

11438 5-(30,15,1502820) (complement has $\lambda=1765940$)
Alltop construction for design number 11435
Tran van Trung construction with supplementary design for design number 11457
design of number 11477 with respect to smaller t

4725 5-(30,15,1518000) (complement has $\lambda=1750760$)
Tran van Trung construction with supplementary design for design number 4722
Alltop construction for design number 4724
design of number 7136 with respect to smaller t
residual design of number 11318
derived from number 11319

4732 5-(30,15,1538240) (complement has $\lambda=1730520$)
Tran van Trung construction with supplementary design for design number 4729
Alltop construction for design number 4731

412 5-(30,15,1543300) (complement has $\lambda=1725460$)
Alltop construction for design number 409

4739 5-(30,15,1558480) (complement has $\lambda=1710280$)
Tran van Trung construction with supplementary design for design number 4736
Alltop construction for design number 4738
TvT: 5-(29,14,623392) $\cup$ supplementary design

4746 5-(30,15,1568600) (complement has $\lambda=1700160$)
Tran van Trung construction with supplementary design for design number 4743
Alltop construction for design number 4745

4753 5-(30,15,1598960) (complement has $\lambda=1669800$)
Tran van Trung construction with supplementary design for design number 4750
Alltop construction for design number 4752
design of number 7142 with respect to smaller t

416 5-(30,15,1614140) (complement has $\lambda=1654620$)
Alltop construction for design number 413

375 5-(30,15,1624260) (complement has $\lambda=1644500$)
Tran van Trung construction with supplementary design for design number 370
Alltop construction for design number 372

4760 5-(30,15,1629320) (complement has $\lambda=1639440$)
Tran van Trung construction with supplementary design for design number 4757
Alltop construction for design number 4759
design of number 7148 with respect to smaller t
residual design of number 7601
derived from number 7602

7534 5-(30,15,1634380) (selfcomplementary)
design of number 7533 with respect to smaller t
complementary design of number 7533 with respect to smaller t
Tran van Trung construction with supplementary design for design number 7535
Alltop construction for design number 7538

11311 5-(30,16,828000) (complement has $\lambda=3629400$)
residual design of number 11306

11663 5-(30,16,1228200) (complement has $\lambda=3229200$)
residual design of number 11658

7613 5-(30,16,1242000) (complement has $\lambda=3215400$)
residual design of number 7610

7619 5-(30,16,1449000) (complement has $\lambda=3008400$)
residual design of number 7616

11621 5-(30,16,1490400) (complement has $\lambda=2967000$)
residual design of number 11618
design of number 11619 with respect to smaller t

7625 5-(30,16,1766400) (complement has $\lambda=2691000$)
residual design of number 7622
design of number 11566 with respect to smaller t

11379 5-(30,16,1849200) (complement has $\lambda=2608200$)
residual design of number 11376

7631 5-(30,16,1863000) (complement has $\lambda=2594400$)
residual design of number 7628
design of number 9336 with respect to smaller t

11583 5-(30,16,1945800) (complement has $\lambda=2511600$)
residual design of number 11579

7638 5-(30,16,1973400) (complement has $\lambda=2484000$)
residual design of number 7634
design of number 11555 with respect to smaller t

11324 5-(30,16,2070000) (complement has $\lambda=2387400$)
residual design of number 11319

7606 5-(30,16,2221800) (complement has $\lambda=2235600$)
residual design of number 7602
design of number 9341 with respect to smaller t

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

7551 6-(30,8,108) (complement has $\lambda=168$)
$PGGL(2,27)++$ (many isom. types)

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}

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}

9282 6-(30,9,480) (complement has $\lambda=1544$)
derived from number 9280

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}

34 6-(30,9,552) (complement has $\lambda=1472$)
TvT: 6-(29,8,69) $\cup$ 6-(29,9,483)

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}

9301 6-(30,9,744) (complement has $\lambda=1280$)
derived from number 9299
design of number 10655 with respect to smaller t

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}

9320 6-(30,9,800) (complement has $\lambda=1224$)
derived from number 9318
design of number 10645 with respect to smaller t

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

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

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}

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}

7458 6-(30,10,1512) (complement has $\lambda=9114$)
$P\Gamma L(2,27)++$ (>= 168 isom. types) \cite{Bettenetal97b}

7464 6-(30,10,1764) (complement has $\lambda=8862$)
$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b}

9283 6-(30,10,2520) (complement has $\lambda=8106$)
residual design of number 9280

7470 6-(30,10,2688) (complement has $\lambda=7938$)
$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b}

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)

7476 6-(30,10,3570) (complement has $\lambda=7056$)
$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b}

9302 6-(30,10,3906) (complement has $\lambda=6720$)
residual design of number 9299
design of number 10656 with respect to smaller t

7482 6-(30,10,4158) (complement has $\lambda=6468$)
$P\Gamma L(2,27)++$ (many >= 404 isom. types) \cite{Bettenetal97b}

9321 6-(30,10,4200) (complement has $\lambda=6426$)
residual design of number 9318
design of number 10646 with respect to smaller t

7488 6-(30,10,4410) (complement has $\lambda=6216$)
$P\Gamma L(2,27)++$ (many >= 8300 isom. types) \cite{Bettenetal97b}

7494 6-(30,10,4704) (complement has $\lambda=5922$)
$P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b}

7500 6-(30,10,4914) (complement has $\lambda=5712$)
$P\Gamma L(2,27)++$ \cite{Bettenetal97b}

7503 6-(30,10,4956) (complement has $\lambda=5670$)
$P\Gamma L(2,27)++$ \cite{Bettenetal97b}

7509 6-(30,10,5082) (complement has $\lambda=5544$)
$P\Gamma L(2,27)++$ \cite{Bettenetal97b}

7518 6-(30,10,5166) (complement has $\lambda=5460$)
$P\Gamma L(2,27)++$ \cite{Bettenetal97b}

7521 6-(30,10,5292) (complement has $\lambda=5334$)
$P\Gamma L(2,27)++$ (>= 4970 isom. types) \cite{Bettenetal97b}

11301 6-(30,14,136620) (complement has $\lambda=598851$)
TvT: 6-(29,13,45540) $\cup$ 6-(29,14,91080)

11652 6-(30,14,202653) (complement has $\lambda=532818$)
TvT: 6-(29,13,67551) $\cup$ 6-(29,14,135102)

7527 6-(30,14,204930) (complement has $\lambda=530541$)
TvT: 6-(29,13,68310) $\cup$ 6-(29,14,136620)

7528 6-(30,14,239085) (complement has $\lambda=496386$)
TvT: 6-(29,13,79695) $\cup$ 6-(29,14,159390)

11613 6-(30,14,245916) (complement has $\lambda=489555$)
design of number 11612 with respect to smaller t
TvT: 6-(29,13,81972) $\cup$ 6-(29,14,163944)
derived from number 11614

7529 6-(30,14,291456) (complement has $\lambda=444015$)
TvT: 6-(29,13,97152) $\cup$ 6-(29,14,194304)
design of number 11563 with respect to smaller t
derived from number 11564

11374 6-(30,14,305118) (complement has $\lambda=430353$)
TvT: 6-(29,13,101706) $\cup$ 6-(29,14,203412)

7530 6-(30,14,307395) (complement has $\lambda=428076$)
TvT: 6-(29,13,102465) $\cup$ 6-(29,14,204930)
design of number 9271 with respect to smaller t
derived from number 9334

11577 6-(30,14,321057) (complement has $\lambda=414414$)
TvT: 6-(29,13,107019) $\cup$ 6-(29,14,214038)

7531 6-(30,14,325611) (complement has $\lambda=409860$)
TvT: 6-(29,13,108537) $\cup$ 6-(29,14,217074)
design of number 11552 with respect to smaller t
derived from number 11553

11304 6-(30,14,341550) (complement has $\lambda=393921$)
TvT: 6-(29,13,113850) $\cup$ 6-(29,14,227700)

7532 6-(30,14,366597) (complement has $\lambda=368874$)
TvT: 6-(29,13,122199) $\cup$ 6-(29,14,244398)
design of number 9272 with respect to smaller t
derived from number 9339

7156 6-(30,15,242880) (complement has $\lambda=1064624$)
Tran van Trung construction with supplementary design for design number 7152
design of number 7157 with respect to smaller t

11647 6-(30,15,360272) (complement has $\lambda=947232$)
Tran van Trung construction with supplementary design for design number 11645
design of number 11648 with respect to smaller t

7088 6-(30,15,364320) (complement has $\lambda=943184$)
Tran van Trung construction with supplementary design for design number 7086
design of number 7089 with respect to smaller t

7094 6-(30,15,425040) (complement has $\lambda=882464$)
Tran van Trung construction with supplementary design for design number 7092
design of number 7095 with respect to smaller t

11603 6-(30,15,437184) (complement has $\lambda=870320$)
Tran van Trung construction with supplementary design for design number 11601
design of number 11604 with respect to smaller t
residual design of number 11614
derived from number 11615

7100 6-(30,15,457424) (complement has $\lambda=850080$)
Tran van Trung construction with supplementary design for design number 7098
design of number 7101 with respect to smaller t

7106 6-(30,15,485760) (complement has $\lambda=821744$)
Tran van Trung construction with supplementary design for design number 7104
design of number 7107 with respect to smaller t

7112 6-(30,15,518144) (complement has $\lambda=789360$)
Tran van Trung construction with supplementary design for design number 7110
design of number 7113 with respect to smaller t
residual design of number 11564
derived from number 11565

7118 6-(30,15,542432) (complement has $\lambda=765072$)
Tran van Trung construction with supplementary design for design number 7116
design of number 7119 with respect to smaller t

7124 6-(30,15,546480) (complement has $\lambda=761024$)
Tran van Trung construction with supplementary design for design number 7122
design of number 7125 with respect to smaller t
residual design of number 9334
derived from number 9335

11573 6-(30,15,570768) (complement has $\lambda=736736$)
Tran van Trung construction with supplementary design for design number 11571
design of number 11574 with respect to smaller t

7130 6-(30,15,578864) (complement has $\lambda=728640$)
Tran van Trung construction with supplementary design for design number 7128
design of number 7131 with respect to smaller t
residual design of number 11553
derived from number 11554

11477 6-(30,15,601128) (complement has $\lambda=706376$)
Tran van Trung construction with supplementary design for design number 11475
design of number 11478 with respect to smaller t

7136 6-(30,15,607200) (complement has $\lambda=700304$)
Tran van Trung construction with supplementary design for design number 7134
design of number 7137 with respect to smaller t

7142 6-(30,15,639584) (complement has $\lambda=667920$)
Tran van Trung construction with supplementary design for design number 7140
design of number 7143 with respect to smaller t

7148 6-(30,15,651728) (complement has $\lambda=655776$)
Tran van Trung construction with supplementary design for design number 7146
design of number 7149 with respect to smaller t
residual design of number 9339
derived from number 9340

7533 6-(30,15,653752) (selfcomplementary)
Ajoodani-Namini recursion, Halving of the complete design
Alltop construction for design number 7535
design of number 9273 with respect to smaller t
complementary design of number 9273 with respect to smaller t
Tran van Trung construction with supplementary design for design number 9274

11619 6-(30,16,655776) (complement has $\lambda=1305480$)
residual design of number 11615

11566 6-(30,16,777216) (complement has $\lambda=1184040$)
residual design of number 11565

9336 6-(30,16,819720) (complement has $\lambda=1141536$)
residual design of number 9335

11555 6-(30,16,868296) (complement has $\lambda=1092960$)
residual design of number 11554

9341 6-(30,16,977592) (complement has $\lambda=983664$)
residual design of number 9340

10655 7-(30,9,93) (complement has $\lambda=160$)
derived from number 10654

10645 7-(30,9,100) (complement has $\lambda=153$)
derived from number 10644

9278 7-(30,9,105) (complement has $\lambda=148$)
$P\Gamma L(2,27)++$ (>= 1) \cite{Bettenetal97b}

9279 7-(30,9,112) (complement has $\lambda=141$)
$P\Gamma L(2,27)++$ (many) \cite{Bettenetal97b}

10656 7-(30,10,651) (complement has $\lambda=1120$)
residual design of number 10654

10646 7-(30,10,700) (complement has $\lambda=1071$)
residual design of number 10644

11612 7-(30,14,81972) (complement has $\lambda=163185$)
TvT: 7-(29,13,24948) $\cup$ 7-(29,14,57024)

11563 7-(30,14,97152) (complement has $\lambda=148005$)
TvT: 7-(29,13,29568) $\cup$ 7-(29,14,67584)

9271 7-(30,14,102465) (complement has $\lambda=142692$)
TvT: 7-(29,13,31185) $\cup$ 7-(29,14,71280)

11552 7-(30,14,108537) (complement has $\lambda=136620$)
TvT: 7-(29,13,33033) $\cup$ 7-(29,14,75504)

9272 7-(30,14,122199) (complement has $\lambda=122958$)
TvT: 7-(29,13,37191) $\cup$ 7-(29,14,85008)

7157 7-(30,15,91080) (complement has $\lambda=399234$)
Alltop construction for design number 7152
Tran van Trung construction with supplementary design for design number 9216

11648 7-(30,15,135102) (complement has $\lambda=355212$)
Alltop construction for design number 11645

7089 7-(30,15,136620) (complement has $\lambda=353694$)
Alltop construction for design number 7086
Tran van Trung construction with supplementary design for design number 9221
Alltop

7095 7-(30,15,159390) (complement has $\lambda=330924$)
Alltop construction for design number 7092
Tran van Trung construction with supplementary design for design number 9226
Alltop from 6-(29,14,159390)

11604 7-(30,15,163944) (complement has $\lambda=326370$)
Alltop construction for design number 11601
Tran van Trung construction with supplementary design for design number 11607

7101 7-(30,15,171534) (complement has $\lambda=318780$)
Alltop construction for design number 7098
Tran van Trung construction with supplementary design for design number 9231
Alltop from 6-(29,14,171534)

7107 7-(30,15,182160) (complement has $\lambda=308154$)
Alltop construction for design number 7104
Tran van Trung construction with supplementary design for design number 9236
Alltop from 6-(29,14,182160)

7113 7-(30,15,194304) (complement has $\lambda=296010$)
Alltop construction for design number 7110
Tran van Trung construction with supplementary design for design number 9241
Alltop

7119 7-(30,15,203412) (complement has $\lambda=286902$)
Alltop construction for design number 7116
Alltop

7125 7-(30,15,204930) (complement has $\lambda=285384$)
Alltop construction for design number 7122
Tran van Trung construction with supplementary design for design number 9246
Alltop

11574 7-(30,15,214038) (complement has $\lambda=276276$)
Alltop construction for design number 11571

7131 7-(30,15,217074) (complement has $\lambda=273240$)
Alltop construction for design number 7128
Tran van Trung construction with supplementary design for design number 9251
Alltop

11478 7-(30,15,225423) (complement has $\lambda=264891$)
Alltop construction for design number 11475

7137 7-(30,15,227700) (complement has $\lambda=262614$)
Alltop construction for design number 7134
Tran van Trung construction with supplementary design for design number 9256
Alltop

7143 7-(30,15,239844) (complement has $\lambda=250470$)
Alltop construction for design number 7140
Tran van Trung construction with supplementary design for design number 9261
Alltop

7149 7-(30,15,244398) (complement has $\lambda=245916$)
Alltop construction for design number 7146
Tran van Trung construction with supplementary design for design number 9266
Alltop

9273 7-(30,15,245157) (selfcomplementary)
Ajoodani-Namini Large Set recursion from 6-(14,7,4)
Alltop construction for design number 9274


on 31 points:


7655 5-(31,6,6) (complement has $\lambda=20$)
derived from number 7653

9422 5-(31,6,10) (complement has $\lambda=16$)
derived from number 9418

9556 5-(31,7,65) (complement has $\lambda=260$)
derived from number 9551

7656 5-(31,7,75) (complement has $\lambda=250$)
residual design of number 7653

9575 5-(31,7,80) (complement has $\lambda=245$)
derived from number 9570

9595 5-(31,7,85) (complement has $\lambda=240$)
derived from number 9590

9439 5-(31,7,100) (complement has $\lambda=225$)
derived from number 9434

9456 5-(31,7,105) (complement has $\lambda=220$)
derived from number 9454

9466 5-(31,7,120) (complement has $\lambda=205$)
derived from number 9461

9423 5-(31,7,125) (complement has $\lambda=200$)
residual design of number 9418
derived from number 9419

9496 5-(31,7,140) (complement has $\lambda=185$)
derived from number 9491

9516 5-(31,7,145) (complement has $\lambda=180$)
derived from number 9511

9536 5-(31,7,160) (complement has $\lambda=165$)
derived from number 9531

9557 5-(31,8,520) (complement has $\lambda=2080$)
residual design of number 9551
derived from number 9552

9351 5-(31,8,600) (complement has $\lambda=2000$)
derived from number 9346

9576 5-(31,8,640) (complement has $\lambda=1960$)
residual design of number 9570
derived from number 9571

9596 5-(31,8,680) (complement has $\lambda=1920$)
residual design of number 9590
derived from number 9591

9367 5-(31,8,720) (complement has $\lambda=1880$)
derived from number 9362

9440 5-(31,8,800) (complement has $\lambda=1800$)
residual design of number 9434
derived from number 9435

9386 5-(31,8,840) (complement has $\lambda=1760$)
derived from number 9382
residual design of number 9454

9403 5-(31,8,880) (complement has $\lambda=1720$)
derived from number 9398

9467 5-(31,8,960) (complement has $\lambda=1640$)
residual design of number 9461
derived from number 9462

9424 5-(31,8,1000) (complement has $\lambda=1600$)
residual design of number 9419
derived from number 9481

9497 5-(31,8,1120) (complement has $\lambda=1480$)
residual design of number 9491
derived from number 9492

9517 5-(31,8,1160) (complement has $\lambda=1440$)
residual design of number 9511
derived from number 9512

9537 5-(31,8,1280) (complement has $\lambda=1320$)
residual design of number 9531
derived from number 9532

5013 5-(31,9,1300) (complement has $\lambda=13650$)
TvT: 5-(30,8,200) $\cup$ 5-(30,9,1100)

7642 5-(31,9,1950) (complement has $\lambda=13000$)
design of number 7641 with respect to smaller t

9558 5-(31,9,2990) (complement has $\lambda=11960$)
residual design of number 9552

9352 5-(31,9,3450) (complement has $\lambda=11500$)
residual design of number 9346
derived from number 9347

9577 5-(31,9,3680) (complement has $\lambda=11270$)
residual design of number 9571

9597 5-(31,9,3910) (complement has $\lambda=11040$)
residual design of number 9591

9368 5-(31,9,4140) (complement has $\lambda=10810$)
residual design of number 9362
derived from number 9363

9441 5-(31,9,4600) (complement has $\lambda=10350$)
residual design of number 9435

9387 5-(31,9,4830) (complement has $\lambda=10120$)
residual design of number 9382
derived from number 9383

9404 5-(31,9,5060) (complement has $\lambda=9890$)
residual design of number 9398
derived from number 9399

5159 5-(31,9,5280) (complement has $\lambda=9670$)
derived from number 5157

9468 5-(31,9,5520) (complement has $\lambda=9430$)
residual design of number 9462

9484 5-(31,9,5750) (complement has $\lambda=9200$)
residual design of number 9481

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

5169 5-(31,9,6240) (complement has $\lambda=8710$)
derived from number 5167

5179 5-(31,9,6390) (complement has $\lambda=8560$)
derived from number 5177

9498 5-(31,9,6440) (complement has $\lambda=8510$)
residual design of number 9492

9518 5-(31,9,6670) (complement has $\lambda=8280$)
residual design of number 9512

5189 5-(31,9,6870) (complement has $\lambda=8080$)
derived from number 5187

9538 5-(31,9,7360) (complement has $\lambda=7590$)
residual design of number 9532

5199 5-(31,9,7440) (complement has $\lambda=7510$)
derived from number 5197

7579 5-(31,10,9360) (complement has $\lambda=56420$)
design of number 7578 with respect to smaller t

7582 5-(31,10,10920) (complement has $\lambda=54860$)
design of number 7581 with respect to smaller t

9353 5-(31,10,15180) (complement has $\lambda=50600$)
residual design of number 9347

9284 5-(31,10,15600) (complement has $\lambda=50180$)
design of number 9281 with respect to smaller t

7585 5-(31,10,16640) (complement has $\lambda=49140$)
design of number 7584 with respect to smaller t

26 5-(31,10,17940) (complement has $\lambda=47840$)
TvT: 5-(30,9,3450) $\cup$ 5-(30,10,14490)
design of number 37 with respect to smaller t

9369 5-(31,10,18216) (complement has $\lambda=47564$)
residual design of number 9363

9388 5-(31,10,21252) (complement has $\lambda=44528$)
residual design of number 9383

7588 5-(31,10,22100) (complement has $\lambda=43680$)
design of number 7587 with respect to smaller t

9405 5-(31,10,22264) (complement has $\lambda=43516$)
residual design of number 9399

5160 5-(31,10,23232) (complement has $\lambda=42548$)
residual design of number 5157

9303 5-(31,10,24180) (complement has $\lambda=41600$)
design of number 9300 with respect to smaller t

7591 5-(31,10,25740) (complement has $\lambda=40040$)
design of number 7590 with respect to smaller t
residual design of number 7652

9322 5-(31,10,26000) (complement has $\lambda=39780$)
design of number 9319 with respect to smaller t

7593 5-(31,10,27300) (complement has $\lambda=38480$)
design of number 7592 with respect to smaller t

5170 5-(31,10,27456) (complement has $\lambda=38324$)
residual design of number 5167

5180 5-(31,10,28116) (complement has $\lambda=37664$)
residual design of number 5177

7596 5-(31,10,29120) (complement has $\lambda=36660$)
design of number 7595 with respect to smaller t

5190 5-(31,10,30228) (complement has $\lambda=35552$)
residual design of number 5187

5200 5-(31,10,32736) (complement has $\lambda=33044$)
residual design of number 5197

7599 5-(31,10,32760) (complement has $\lambda=33020$)
design of number 7598 with respect to smaller t

11372 5-(31,13,246675) (complement has $\lambda=1315600$)
TvT: 5-(30,12,75900) $\cup$ 5-(30,13,170775)

4891 5-(31,13,575575) (complement has $\lambda=986700$)
TvT: 5-(30,12,177100) $\cup$ 5-(30,13,398475)

11399 5-(31,14,493350) (complement has $\lambda=2631200$)
TvT: 5-(30,13,170775) $\cup$ 5-(30,14,322575)

4893 5-(31,14,1151150) (complement has $\lambda=1973400$)
TvT: 5-(30,13,398475) $\cup$ 5-(30,14,752675)

4902 5-(31,15,14014) (complement has $\lambda=5297721$)
TvT: 5-(30,14,5390) $\cup$ 5-(30,15,8624)

4909 5-(31,15,146575) (complement has $\lambda=5165160$)
TvT: 5-(30,14,56375) $\cup$ 5-(30,15,90200)

11460 5-(31,15,838695) (complement has $\lambda=4473040$)
TvT: 5-(30,14,322575) $\cup$ 5-(30,15,516120)

11272 5-(31,15,888030) (complement has $\lambda=4423705$)
TvT: 5-(30,14,341550) $\cup$ 5-(30,15,546480)

11307 5-(31,15,986700) (complement has $\lambda=4325035$)
design of number 11305 with respect to smaller t
derived from number 11308
TvT: 5-(30,14,379500) $\cup$ 5-(30,15,607200)

11463 5-(31,15,1282710) (complement has $\lambda=4029025$)
TvT: 5-(30,14,493350) $\cup$ 5-(30,15,789360)

11400 5-(31,15,1315600) (complement has $\lambda=3996135$)
TvT: 5-(30,14,506000) $\cup$ 5-(30,15,809600)

4895 5-(31,15,1332045) (complement has $\lambda=3979690$)
TvT: 5-(30,14,512325) $\cup$ 5-(30,15,819720)

11659 5-(31,15,1463605) (complement has $\lambda=3848130$)
design of number 11657 with respect to smaller t
derived from number 11660
TvT: 5-(30,14,562925) $\cup$ 5-(30,15,900680)

4916 5-(31,15,1480050) (complement has $\lambda=3831685$)
TvT: 5-(30,14,569250) $\cup$ 5-(30,15,910800)
design of number 7609 with respect to smaller t
derived from number 7611

11413 5-(31,15,1512940) (complement has $\lambda=3798795$)
TvT: 5-(30,14,581900) $\cup$ 5-(30,15,931040)

4923 5-(31,15,1611610) (complement has $\lambda=3700125$)
TvT: 5-(30,14,619850) $\cup$ 5-(30,15,991760)

4930 5-(31,15,1628055) (complement has $\lambda=3683680$)
TvT: 5-(30,14,626175) $\cup$ 5-(30,15,1001880)

4937 5-(31,15,1726725) (complement has $\lambda=3585010$)
TvT: 5-(30,14,664125) $\cup$ 5-(30,15,1062600)
design of number 7615 with respect to smaller t
derived from number 7617

4944 5-(31,15,1759615) (complement has $\lambda=3552120$)
TvT: 5-(30,14,676775) $\cup$ 5-(30,15,1082840)

4951 5-(31,15,1776060) (complement has $\lambda=3535675$)
TvT: 5-(30,14,683100) $\cup$ 5-(30,15,1092960)
design of number 11616 with respect to smaller t
derived from number 11620

11424 5-(31,15,1808950) (complement has $\lambda=3502785$)
TvT: 5-(30,14,695750) $\cup$ 5-(30,15,1113200)

4958 5-(31,15,1874730) (complement has $\lambda=3437005$)
TvT: 5-(30,14,721050) $\cup$ 5-(30,15,1153680)

4965 5-(31,15,1956955) (complement has $\lambda=3354780$)
TvT: 5-(30,14,752675) $\cup$ 5-(30,15,1204280)

11403 5-(31,15,2055625) (complement has $\lambda=3256110$)
TvT: 5-(30,14,790625) $\cup$ 5-(30,15,1265000)

4972 5-(31,15,2104960) (complement has $\lambda=3206775$)
TvT: 5-(30,14,809600) $\cup$ 5-(30,15,1295360)
design of number 7621 with respect to smaller t
derived from number 7623

4979 5-(31,15,2170740) (complement has $\lambda=3140995$)
TvT: 5-(30,14,834900) $\cup$ 5-(30,15,1335840)

11275 5-(31,15,2203630) (complement has $\lambda=3108105$)
TvT: 5-(30,14,847550) $\cup$ 5-(30,15,1356080)
design of number 11375 with respect to smaller t
derived from number 11377

4986 5-(31,15,2220075) (complement has $\lambda=3091660$)
TvT: 5-(30,14,853875) $\cup$ 5-(30,15,1366200)
design of number 7627 with respect to smaller t
derived from number 7629

11470 5-(31,15,2318745) (complement has $\lambda=2992990$)
TvT: 5-(30,14,891825) $\cup$ 5-(30,15,1426920)
design of number 11578 with respect to smaller t
derived from number 11580

4993 5-(31,15,2351635) (complement has $\lambda=2960100$)
TvT: 5-(30,14,904475) $\cup$ 5-(30,15,1447160)
design of number 7633 with respect to smaller t
derived from number 7635

11548 5-(31,15,2368080) (complement has $\lambda=2943655$)
TvT: 5-(30,14,910800) $\cup$ 5-(30,15,1457280)

11320 5-(31,15,2466750) (complement has $\lambda=2844985$)
design of number 11318 with respect to smaller t
derived from number 11321
TvT: 5-(30,14,948750) $\cup$ 5-(30,15,1518000)

4998 5-(31,15,2499640) (complement has $\lambda=2812095$)
TvT: 5-(30,14,961400) $\cup$ 5-(30,15,1538240)

5003 5-(31,15,2548975) (complement has $\lambda=2762760$)
TvT: 5-(30,14,980375) $\cup$ 5-(30,15,1568600)

5008 5-(31,15,2647645) (complement has $\lambda=2664090$)
TvT: 5-(30,14,1018325) $\cup$ 5-(30,15,1629320)
design of number 7601 with respect to smaller t
derived from number 7603

4903 5-(31,16,20384) (complement has $\lambda=7705776$)
supplementary design of number 4902

4910 5-(31,16,213200) (complement has $\lambda=7512960$)
supplementary design of number 4909

11461 5-(31,16,1219920) (complement has $\lambda=6506240$)
supplementary design of number 11460

11273 5-(31,16,1291680) (complement has $\lambda=6434480$)
supplementary design of number 11272

11310 5-(31,16,1435200) (complement has $\lambda=6290960$)
design of number 11306 with respect to smaller t
supplementary design of number 11307
residual design of number 11308

11464 5-(31,16,1865760) (complement has $\lambda=5860400$)
supplementary design of number 11463

11401 5-(31,16,1913600) (complement has $\lambda=5812560$)
supplementary design of number 11400

4896 5-(31,16,1937520) (complement has $\lambda=5788640$)
supplementary design of number 4895

11662 5-(31,16,2128880) (complement has $\lambda=5597280$)
design of number 11658 with respect to smaller t
supplementary design of number 11659
residual design of number 11660

4917 5-(31,16,2152800) (complement has $\lambda=5573360$)
supplementary design of number 4916
design of number 7610 with respect to smaller t
residual design of number 7611

11414 5-(31,16,2200640) (complement has $\lambda=5525520$)
supplementary design of number 11413

4924 5-(31,16,2344160) (complement has $\lambda=5382000$)
supplementary design of number 4923

4931 5-(31,16,2368080) (complement has $\lambda=5358080$)
supplementary design of number 4930

4938 5-(31,16,2511600) (complement has $\lambda=5214560$)
supplementary design of number 4937
design of number 7616 with respect to smaller t
residual design of number 7617

4945 5-(31,16,2559440) (complement has $\lambda=5166720$)
supplementary design of number 4944

4952 5-(31,16,2583360) (complement has $\lambda=5142800$)
supplementary design of number 4951
design of number 11618 with respect to smaller t
residual design of number 11620

11425 5-(31,16,2631200) (complement has $\lambda=5094960$)
supplementary design of number 11424

4959 5-(31,16,2726880) (complement has $\lambda=4999280$)
supplementary design of number 4958

4966 5-(31,16,2846480) (complement has $\lambda=4879680$)
supplementary design of number 4965

11404 5-(31,16,2990000) (complement has $\lambda=4736160$)
supplementary design of number 11403

4973 5-(31,16,3061760) (complement has $\lambda=4664400$)
supplementary design of number 4972
design of number 7622 with respect to smaller t
residual design of number 7623

4980 5-(31,16,3157440) (complement has $\lambda=4568720$)
supplementary design of number 4979

11276 5-(31,16,3205280) (complement has $\lambda=4520880$)
supplementary design of number 11275
design of number 11376 with respect to smaller t
residual design of number 11377

4987 5-(31,16,3229200) (complement has $\lambda=4496960$)
supplementary design of number 4986
design of number 7628 with respect to smaller t
residual design of number 7629

11582 5-(31,16,3372720) (complement has $\lambda=4353440$)
design of number 11579 with respect to smaller t
residual design of number 11580

7637 5-(31,16,3420560) (complement has $\lambda=4305600$)
design of number 7634 with respect to smaller t
residual design of number 7635

11323 5-(31,16,3588000) (complement has $\lambda=4138160$)
design of number 11319 with respect to smaller t
residual design of number 11321

7605 5-(31,16,3851120) (complement has $\lambda=3875040$)
design of number 7602 with respect to smaller t
residual design of number 7603

7641 6-(31,9,300) (complement has $\lambda=2000$)
$PGL(3,5)$ (56 isom. types)

7651 6-(31,9,900) (complement has $\lambda=1400$)
TvT: 6-(30,8,108) $\cup$ 6-(30,9,792)

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}

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}

9281 6-(31,10,3000) (complement has $\lambda=9650$)
design of number 9280 with respect to smaller t

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}

37 6-(31,10,3450) (complement has $\lambda=9200$)
TvT: 6-(30,9,552) $\cup$ 6-(30,10,2898)

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}

9300 6-(31,10,4650) (complement has $\lambda=8000$)
design of number 9299 with respect to smaller t

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}

9319 6-(31,10,5000) (complement has $\lambda=7650$)
design of number 9318 with respect to smaller t

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}

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}

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}

11305 6-(31,15,379500) (complement has $\lambda=1663475$)
TvT: 6-(30,14,136620) $\cup$ 6-(30,15,242880)
derived from number 11309

11657 6-(31,15,562925) (complement has $\lambda=1480050$)
TvT: 6-(30,14,202653) $\cup$ 6-(30,15,360272)
derived from number 11661

7609 6-(31,15,569250) (complement has $\lambda=1473725$)
TvT: 6-(30,14,204930) $\cup$ 6-(30,15,364320)
derived from number 7612

7615 6-(31,15,664125) (complement has $\lambda=1378850$)
TvT: 6-(30,14,239085) $\cup$ 6-(30,15,425040)
derived from number 7618

11616 6-(31,15,683100) (complement has $\lambda=1359875$)
design of number 11614 with respect to smaller t
derived from number 11617
TvT: 6-(30,14,245916) $\cup$ 6-(30,15,437184)

7621 6-(31,15,809600) (complement has $\lambda=1233375$)
TvT: 6-(30,14,291456) $\cup$ 6-(30,15,518144)
derived from number 7624
design of number 11564 with respect to smaller t

11375 6-(31,15,847550) (complement has $\lambda=1195425$)
TvT: 6-(30,14,305118) $\cup$ 6-(30,15,542432)
derived from number 11378

7627 6-(31,15,853875) (complement has $\lambda=1189100$)
TvT: 6-(30,14,307395) $\cup$ 6-(30,15,546480)
derived from number 7630
design of number 9334 with respect to smaller t

11578 6-(31,15,891825) (complement has $\lambda=1151150$)
TvT: 6-(30,14,321057) $\cup$ 6-(30,15,570768)
derived from number 11581

7633 6-(31,15,904475) (complement has $\lambda=1138500$)
TvT: 6-(30,14,325611) $\cup$ 6-(30,15,578864)
derived from number 7636
design of number 11553 with respect to smaller t

11318 6-(31,15,948750) (complement has $\lambda=1094225$)
TvT: 6-(30,14,341550) $\cup$ 6-(30,15,607200)
derived from number 11322

7601 6-(31,15,1018325) (complement has $\lambda=1024650$)
TvT: 6-(30,14,366597) $\cup$ 6-(30,15,651728)
derived from number 7604
design of number 9339 with respect to smaller t

11306 6-(31,16,607200) (complement has $\lambda=2661560$)
supplementary design of number 11305
residual design of number 11309

11658 6-(31,16,900680) (complement has $\lambda=2368080$)
supplementary design of number 11657
residual design of number 11661

7610 6-(31,16,910800) (complement has $\lambda=2357960$)
supplementary design of number 7609
residual design of number 7612

7616 6-(31,16,1062600) (complement has $\lambda=2206160$)
supplementary design of number 7615
residual design of number 7618

11618 6-(31,16,1092960) (complement has $\lambda=2175800$)
design of number 11615 with respect to smaller t
supplementary design of number 11616
residual design of number 11617

7622 6-(31,16,1295360) (complement has $\lambda=1973400$)
supplementary design of number 7621
residual design of number 7624
design of number 11565 with respect to smaller t

11376 6-(31,16,1356080) (complement has $\lambda=1912680$)
supplementary design of number 11375
residual design of number 11378

7628 6-(31,16,1366200) (complement has $\lambda=1902560$)
supplementary design of number 7627
residual design of number 7630
design of number 9335 with respect to smaller t

11579 6-(31,16,1426920) (complement has $\lambda=1841840$)
supplementary design of number 11578
residual design of number 11581

7634 6-(31,16,1447160) (complement has $\lambda=1821600$)
supplementary design of number 7633
residual design of number 7636
design of number 11554 with respect to smaller t

11319 6-(31,16,1518000) (complement has $\lambda=1750760$)
supplementary design of number 11318
residual design of number 11322

7602 6-(31,16,1629320) (complement has $\lambda=1639440$)
supplementary design of number 7601
residual design of number 7604
design of number 9340 with respect to smaller t

9280 7-(31,10,480) (complement has $\lambda=1544$)
$PSL(3,5)$ ( >=1 isom. types)

9299 7-(31,10,744) (complement has $\lambda=1280$)
$PSL(3,5)$ ( >=1 isom. types)
design of number 10654 with respect to smaller t

9318 7-(31,10,800) (complement has $\lambda=1224$)
$PSL(3,5)$ ( >=1 isom. types)
design of number 10644 with respect to smaller t

11614 7-(31,15,245916) (complement has $\lambda=489555$)
TvT: 7-(30,14,81972) $\cup$ 7-(30,15,163944)

11564 7-(31,15,291456) (complement has $\lambda=444015$)
TvT: 7-(30,14,97152) $\cup$ 7-(30,15,194304)

9334 7-(31,15,307395) (complement has $\lambda=428076$)
TvT: 7-(30,14,102465) $\cup$ 7-(30,15,204930)

11553 7-(31,15,325611) (complement has $\lambda=409860$)
TvT: 7-(30,14,108537) $\cup$ 7-(30,15,217074)

9339 7-(31,15,366597) (complement has $\lambda=368874$)
TvT: 7-(30,14,122199) $\cup$ 7-(30,15,244398)

11615 7-(31,16,437184) (complement has $\lambda=870320$)
supplementary design of number 11614

11565 7-(31,16,518144) (complement has $\lambda=789360$)
supplementary design of number 11564

9335 7-(31,16,546480) (complement has $\lambda=761024$)
supplementary design of number 9334

11554 7-(31,16,578864) (complement has $\lambda=728640$)
supplementary design of number 11553

9340 7-(31,16,651728) (complement has $\lambda=655776$)
supplementary design of number 9339

10654 8-(31,10,93) (complement has $\lambda=160$)
$PSL(3,5)$ (138 isom. types) \cite{Bettenetal98}

10644 8-(31,10,100) (complement has $\lambda=153$)
$PSL(3,5)$ (1658 isom. types) \cite{Bettenetal98}


on 32 points:


7663 5-(32,7,36) (complement has $\lambda=315$)
derived from number 7661

7654 5-(32,7,81) (complement has $\lambda=270$)
design of number 7653 with respect to smaller t

9421 5-(32,7,135) (complement has $\lambda=216$)
derived from number 9417
design of number 9418 with respect to smaller t

9619 5-(32,7,171) (complement has $\lambda=180$)
derived from number 9615

7664 5-(32,8,300) (complement has $\lambda=2625$)
residual design of number 7661

5025 5-(32,8,365) (complement has $\lambda=2560$)
$AGL(4,2)\times C_2$ 4 solutions

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

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

5045 5-(32,8,440) (complement has $\lambda=2485$)
$AGL(4,2)\times C_2$ 2 solutions

5049 5-(32,8,460) (complement has $\lambda=2465$)
$AGL(4,2)\times C_2$ 37 solutions

5053 5-(32,8,465) (complement has $\lambda=2460$)
$AGL(4,2)\times C_2$ 12 solutions

5057 5-(32,8,500) (complement has $\lambda=2425$)
$AGL(4,2)\times C_2$ 118 solutions

5061 5-(32,8,505) (complement has $\lambda=2420$)
$AGL(4,2)\times C_2$ 95 solutions

5065 5-(32,8,525) (complement has $\lambda=2400$)
$AGL(4,2)\times C_2$ 6 solutions

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

5077 5-(32,8,560) (complement has $\lambda=2365$)
$AGL(4,2)\times C_2$ 343 solutions

5081 5-(32,8,565) (complement has $\lambda=2360$)
$AGL(4,2)\times C_2$ 190 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

5089 5-(32,8,600) (complement has $\lambda=2325$)
$AGL(4,2)\times C_2$ 897 solutions

5093 5-(32,8,605) (complement has $\lambda=2320$)
$AGL(4,2)\times C_2$ 4638 solutions

5097 5-(32,8,640) (complement has $\lambda=2285$)
$AGL(4,2)\times C_2$ many solutions

5101 5-(32,8,645) (complement has $\lambda=2280$)
$AGL(4,2)\times C_2$ many solutions

5105 5-(32,8,665) (complement has $\lambda=2260$)
$AGL(4,2)\times C_2$ many solutions

5109 5-(32,8,675) (complement has $\lambda=2250$)
TvT: 5-(31,7,75) $\cup$ 5-(31,8,600)

5113 5-(32,8,680) (complement has $\lambda=2245$)
$AGL(4,2)\times C_2$ many solutions

5117 5-(32,8,685) (complement has $\lambda=2240$)
$AGL(4,2)\times C_2$ many solutions

5121 5-(32,8,700) (complement has $\lambda=2225$)
$AGL(4,2)\times C_2$

5125 5-(32,8,705) (complement has $\lambda=2220$)
$AGL(4,2)\times C_2$

9573 5-(32,8,720) (complement has $\lambda=2205$)
derived from number 9569
design of number 9570 with respect to smaller t

9593 5-(32,8,765) (complement has $\lambda=2160$)
derived from number 9589
design of number 9590 with respect to smaller t

5129 5-(32,8,885) (complement has $\lambda=2040$)
$AGL(4,2)\times C_2$

9437 5-(32,8,900) (complement has $\lambda=2025$)
derived from number 9433
design of number 9434 with respect to smaller t

9455 5-(32,8,945) (complement has $\lambda=1980$)
derived from number 9453
design of number 9454 with respect to smaller t

9464 5-(32,8,1080) (complement has $\lambda=1845$)
derived from number 9460
design of number 9461 with respect to smaller t

5133 5-(32,8,1085) (complement has $\lambda=1840$)
$AGL(4,2)\times C_2$

5137 5-(32,8,1120) (complement has $\lambda=1805$)
$AGL(4,2)\times C_2$

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

5145 5-(32,8,1205) (complement has $\lambda=1720$)
$AGL(4,2)\times C_2$

9494 5-(32,8,1260) (complement has $\lambda=1665$)
derived from number 9490
design of number 9491 with respect to smaller t

5149 5-(32,8,1300) (complement has $\lambda=1625$)
$AGL(4,2)\times C_2$

9514 5-(32,8,1305) (complem