t designs with small t, id ge 1100

# 1100: 5-(22,10,630)

clan: 7-(24,12,630), 2 times derived
$PGL(2,19)++$

# 1101: 5-(23,11,1890)

clan: 7-(24,12,630), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,630) (# 1100) : der= 5-(22,10,630) and res= 5-(22,11,1260) - the given design is the derived.

# 1102: 5-(24,12,5130)

clan: 7-(24,12,630), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,1890) (# 1101)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1103: 5-(22,10,672)

clan: 7-(24,12,672), 2 times derived
\cite{Kreher95} $PGL(2,19)++$

# 1104: 5-(23,11,2016)

clan: 7-(24,12,672), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,672) (# 1103) : der= 5-(22,10,672) and res= 5-(22,11,1344) - the given design is the derived.

# 1105: 5-(24,12,5472)

clan: 7-(24,12,672), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2016) (# 1104)

# 1106: 5-(22,10,686)

clan: 7-(24,12,686), 2 times derived
$PGL(2,19)++$

# 1107: 5-(23,11,2058)

clan: 7-(24,12,686), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,686) (# 1106) : der= 5-(22,10,686) and res= 5-(22,11,1372) - the given design is the derived.

# 1108: 5-(24,12,5586)

clan: 7-(24,12,686), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2058) (# 1107)

# 1109: 5-(22,10,728)

clan: 15-(32,16,2), 6 times derived, 4 times residual
$PGL(2,19)++$
$P\Gamma L(2,9)\times C_2 + C_2$

# 1110: 5-(23,11,2184)

clan: 15-(32,16,2), 1 times reduced t, 5 times derived, 4 times residual
Tran van Trung construction (right) for 5-(22,10,728) (# 1109) : der= 5-(22,10,728) and res= 5-(22,11,1456) - the given design is the derived.

# 1111: 5-(24,12,5928)

clan: 15-(32,16,2), 2 times reduced t, 4 times derived, 4 times residual
Tran van Trung construction with complementary design for 5-(23,11,2184) (# 1110)

# 1112: 5-(22,10,756)

clan: 7-(24,12,756), 2 times derived
$PGL(2,19)++$
$P\Gamma L(2,9)\times C_2 + C_2$

# 1113: 5-(23,11,2268)

clan: 7-(24,12,756), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,756) (# 1112) : der= 5-(22,10,756) and res= 5-(22,11,1512) - the given design is the derived.

# 1114: 5-(24,12,6156)

clan: 7-(24,12,756), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2268) (# 1113)

# 1115: 5-(22,10,770)

clan: 7-(24,12,770), 2 times derived
$PGL(2,19)++$
derived from 6-(23,11,770) (# 9721)
derived from supplementary of 6-(23,11,5418) (# 9732)

# 1116: 5-(23,11,2310)

clan: 7-(24,12,770), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,770) (# 1115) : der= 5-(22,10,770) and res= 5-(22,11,1540) - the given design is the derived.
design 6-(23,11,770) (# 9721) with respect to smaller t
derived from 6-(24,12,2310) (# 9722)
derived from supplementary of 6-(24,12,16254) (# 9731)
supplementary design of 6-(23,11,5418) (# 9732) with respect to smaller t

# 1117: 5-(24,12,6270)

clan: 7-(24,12,770), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2310) (# 1116)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,12,2310) (# 9722) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,3960) (# 9728) : der= 5-(23,11,2310) and res= 5-(23,12,3960) - the given design is the residual.
supplementary design of 6-(24,12,16254) (# 9731) with respect to smaller t

# 1118: 5-(22,10,798)

clan: 7-(24,12,798), 2 times derived
$PGL(2,19)++$

# 1119: 5-(23,11,2394)

clan: 7-(24,12,798), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,798) (# 1118) : der= 5-(22,10,798) and res= 5-(22,11,1596) - the given design is the derived.

# 1120: 5-(24,12,6498)

clan: 7-(24,12,798), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2394) (# 1119)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1121: 5-(22,10,812)

clan: 7-(24,12,812), 2 times derived
$PGL(2,19)++$

# 1122: 5-(23,11,2436)

clan: 7-(24,12,812), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,812) (# 1121) : der= 5-(22,10,812) and res= 5-(22,11,1624) - the given design is the derived.

# 1123: 5-(24,12,6612)

clan: 7-(24,12,812), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2436) (# 1122)

# 1124: 5-(22,10,840)

clan: 7-(24,12,840), 2 times derived
$PGL(2,19)++$

# 1125: 5-(23,11,2520)

clan: 7-(24,12,840), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,840) (# 1124) : der= 5-(22,10,840) and res= 5-(22,11,1680) - the given design is the derived.

# 1126: 5-(24,12,6840)

clan: 7-(24,12,840), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2520) (# 1125)

# 1127: 5-(22,10,882)

clan: 7-(24,12,882), 2 times derived
$PGL(2,19)++$
derived from 6-(23,11,882) (# 9737)
derived from supplementary of 6-(23,11,5306) (# 9748)

# 1128: 5-(23,11,2646)

clan: 7-(24,12,882), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,882) (# 1127) : der= 5-(22,10,882) and res= 5-(22,11,1764) - the given design is the derived.
design 6-(23,11,882) (# 9737) with respect to smaller t
derived from 6-(24,12,2646) (# 9738)
derived from supplementary of 6-(24,12,15918) (# 9747)
supplementary design of 6-(23,11,5306) (# 9748) with respect to smaller t

# 1129: 5-(24,12,7182)

clan: 7-(24,12,882), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2646) (# 1128)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,12,2646) (# 9738) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,4536) (# 9744) : der= 5-(23,11,2646) and res= 5-(23,12,4536) - the given design is the residual.
supplementary design of 6-(24,12,15918) (# 9747) with respect to smaller t

# 1130: 5-(22,10,896)

clan: 7-(24,12,896), 2 times derived
$M_{11}\times C_2$,
$PGL(2,19)++$
derived from 6-(23,11,896) (# 9753)
derived from supplementary of 6-(23,11,5292) (# 9764)

# 1131: 5-(23,11,2688)

clan: 7-(24,12,896), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,896) (# 1130) : der= 5-(22,10,896) and res= 5-(22,11,1792) - the given design is the derived.
design 6-(23,11,896) (# 9753) with respect to smaller t
derived from 6-(24,12,2688) (# 9754)
derived from supplementary of 6-(24,12,15876) (# 9763)
supplementary design of 6-(23,11,5292) (# 9764) with respect to smaller t

# 1132: 5-(24,12,7296)

clan: 7-(24,12,896), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2688) (# 1131)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,12,2688) (# 9754) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,4608) (# 9760) : der= 5-(23,11,2688) and res= 5-(23,12,4608) - the given design is the residual.
supplementary design of 6-(24,12,15876) (# 9763) with respect to smaller t

# 1133: 5-(22,10,938)

clan: 7-(24,12,938), 2 times derived
$PGL(2,19)++$
derived from 6-(23,11,938) (# 9769)
derived from supplementary of 6-(23,11,5250) (# 9780)

# 1134: 5-(23,11,2814)

clan: 7-(24,12,938), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,938) (# 1133) : der= 5-(22,10,938) and res= 5-(22,11,1876) - the given design is the derived.
design 6-(23,11,938) (# 9769) with respect to smaller t
derived from 6-(24,12,2814) (# 9770)
derived from supplementary of 6-(24,12,15750) (# 9779)
supplementary design of 6-(23,11,5250) (# 9780) with respect to smaller t

# 1135: 5-(24,12,7638)

clan: 7-(24,12,938), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2814) (# 1134)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,12,2814) (# 9770) with respect to smaller t
Tran van Trung construction (left) for 5-(23,12,4824) (# 9776) : der= 5-(23,11,2814) and res= 5-(23,12,4824) - the given design is the residual.
supplementary design of 6-(24,12,15750) (# 9779) with respect to smaller t

# 1136: 5-(22,10,966)

clan: 7-(24,12,966), 2 times derived
$PGL(2,19)++$

# 1137: 5-(23,11,2898)

clan: 7-(24,12,966), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,966) (# 1136) : der= 5-(22,10,966) and res= 5-(22,11,1932) - the given design is the derived.

# 1138: 5-(24,12,7866)

clan: 7-(24,12,966), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2898) (# 1137)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1139: 5-(22,10,980)

clan: 7-(24,12,980), 2 times derived
$PGL(2,19)++$

# 1140: 5-(23,11,2940)

clan: 7-(24,12,980), 1 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(22,10,980) (# 1139) : der= 5-(22,10,980) and res= 5-(22,11,1960) - the given design is the derived.

# 1141: 5-(24,12,7980)

clan: 7-(24,12,980), 2 times reduced t
Tran van Trung construction with complementary design for 5-(23,11,2940) (# 1140)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1142: 5-(22,11,1008)

clan: 7-(24,12,504), 1 times derived, 1 times residual
\cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types

# 1143: 5-(22,11,1288)

clan: 7-(24,12,644), 1 times derived, 1 times residual
\cite{Kreher95} $PSL(3,4)+$ 6 isomorphism types

# 1144: 5-(22,11,1848)

clan: 7-(24,12,924), 1 times derived, 1 times residual
\cite{Kreher95}

# 1145: 5-(22,11,7224)

clan: 7-(24,12,3612), 1 times derived, 1 times residual
$PSL(3,4)+$
residual design of supplementary of 6-(23,11,2576) (# 9514)
derived from supplementary of 6-(23,12,5152) (# 9524)
residual design of 6-(23,11,3612) (# 9526)
derived from 6-(23,12,7224) (# 9527)

# 1146: 5-(22,6,6)

clan: 15-(32,16,6), 10 times derived
$Hol(C_{19})+++$
$PSL(2,11)$ 10 solutions
derived from 6-(23,7,6) (# 13315)
derived from supplementary of 6-(23,7,11) (# 13318)

# 1147: 5-(22,7,16)

clan: 15-(32,16,2), 9 times derived, 1 times residual
\cite{Kreher95} $PGL(2,19)++$
$PSL(2,11)$ 1 solution
\cite{Kreher95} $PSL(2,19)++$ 9 solutions

# 1148: 5-(22,7,30)

clan: 5-(22,7,30)
$PSL(2,11)$ $\ge 20000$ solutions

# 1149: 5-(22,7,36)

clan: 13-(30,15,36), 8 times derived
$PSL(2,11)$ many solutions
$PGL(2,19)++$ 69 solutions

# 1150: 5-(22,7,40)

clan: 15-(32,16,5), 9 times derived, 1 times residual
$M_{11}\times C_2$ (2 isom. types)
$PSL(2,11)$ many solutions
$PGL(2,19)++$ 92 solutions
residual design of 6-(23,7,5) (# 13288)
derived from 6-(23,8,40) (# 13289)
residual design of supplementary of 6-(23,7,12) (# 13291)
derived from supplementary of 6-(23,8,96) (# 13292)

# 1151: 5-(22,7,46)

clan: 5-(22,7,46)
$PSL(2,11)$

# 1152: 5-(22,7,60)

clan: 13-(30,15,60), 8 times derived
\cite{Kreher95} $PGL(2,19)++$
$PSL(2,11)$ many solutions

# 1153: 5-(22,7,66)

clan: 5-(22,7,66)
$PSL(2,11)$ many solutions

# 1154: 5-(22,7,68)

clan: 14-(30,15,8), 1 times reduced t, 8 times derived
\cite{Kreher95}
design 6-(22,7,8) (# 8739) with respect to smaller t
supplementary design of 6-(22,7,8) (# 8739) with respect to smaller t
Tran van Trung construction (right) for 5-(21,6,8) (# 8740) : der= 5-(21,6,8) and res= 5-(21,7,60) - the given design is the derived.
Tran van Trung construction (left) for 5-(21,7,60) (# 8741) : der= 5-(21,6,8) and res= 5-(21,7,60) - the given design is the residual.
derived from 6-(23,8,68) (# 8744)
derived from supplementary of 6-(23,8,68) (# 8744)

# 1155: 5-(22,8,100)

clan: 13-(30,15,20), 7 times derived, 1 times residual
\cite{Kreher95} $PSL(2,19)++$

# 1156: 5-(22,8,120)

clan: 15-(32,16,3), 8 times derived, 2 times residual
$PSL(2,19)++$
$S_7^{[2]}+$ (3 isom. types)

# 1157: 5-(22,8,140)

clan: 13-(30,15,28), 7 times derived, 1 times residual
$PSL(2,19)++$

# 1158: 5-(22,8,160)

clan: 15-(32,16,4), 8 times derived, 2 times residual
$PSL(2,19)++$
residual design of 6-(23,8,32) (# 13278)
residual design of supplementary of 6-(23,8,104) (# 13281)

# 1159: 5-(22,8,180)

clan: 13-(30,15,36), 7 times derived, 1 times residual
$PSL(2,19)++$

# 1160: 5-(23,8,216)

clan: 13-(30,15,36), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(22,8,180) (# 1159) : der= 5-(22,7,36) and res= 5-(22,8,180) - the given design is the residual.

# 1161: 5-(22,8,200)

clan: 15-(32,16,5), 8 times derived, 2 times residual
$PSL(2,19)++$
residual design of 6-(23,8,40) (# 13289)
residual design of supplementary of 6-(23,8,96) (# 13292)
derived from 6-(23,9,200) (# 13436)
derived from supplementary of 6-(23,9,480) (# 13438)

# 1162: 5-(23,8,240)

clan: 15-(32,16,5), 1 times reduced t, 8 times derived, 1 times residual
Tran van Trung construction (left) for 5-(22,8,200) (# 1161) : der= 5-(22,7,40) and res= 5-(22,8,200) - the given design is the residual.
residual design of 6-(24,8,45) (# 9837)
design 6-(23,8,40) (# 13289) with respect to smaller t
residual design of supplementary of 6-(24,8,108) (# 13290)
supplementary design of 6-(23,8,96) (# 13292) with respect to smaller t
derived from 6-(24,9,240) (# 13435)
derived from supplementary of 6-(24,9,576) (# 13437)

# 1163: 5-(22,8,220)

clan: 13-(30,15,44), 7 times derived, 1 times residual
$PSL(2,19)++$

# 1164: 5-(22,8,240)

clan: 15-(32,16,6), 8 times derived, 2 times residual
$PSL(2,19)++$
$PSL(2,11)$
derived from 6-(23,9,240) (# 13149)
derived from supplementary of 6-(23,9,440) (# 13152)
residual design of 6-(23,8,48) (# 13316)
residual design of supplementary of 6-(23,8,88) (# 13319)

# 1165: 5-(22,8,260)

clan: 13-(30,15,52), 7 times derived, 1 times residual
$PSL(2,11)$

# 1166: 5-(22,8,280)

clan: 15-(32,16,7), 8 times derived, 2 times residual
$PSL(2,19)++$
residual design of 6-(23,8,56) (# 13370)
residual design of supplementary of 6-(23,8,80) (# 13373)

# 1167: 5-(22,8,300)

clan: 13-(30,15,60), 7 times derived, 1 times residual
$PSL(2,11)$

# 1168: 5-(23,8,360)

clan: 13-(30,15,60), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(22,8,300) (# 1167) : der= 5-(22,7,60) and res= 5-(22,8,300) - the given design is the residual.

# 1169: 5-(22,8,320)

clan: 15-(32,16,8), 8 times derived, 2 times residual
$PSL(2,11)$
derived from 6-(23,9,320) (# 13168)
derived from supplementary of 6-(23,9,360) (# 13170)
residual design of 6-(23,8,64) (# 13381)
residual design of supplementary of 6-(23,8,72) (# 13384)

# 1170: 5-(22,8,340)

clan: 14-(30,15,8), 1 times reduced t, 7 times derived, 1 times residual
\cite{Kreher95} $PSL(2,19)++$
design 6-(22,8,60) (# 8742) with respect to smaller t
supplementary design of 6-(22,8,60) (# 8742) with respect to smaller t
Tran van Trung construction (left) for 5-(21,8,280) (# 8743) : der= 5-(21,7,60) and res= 5-(21,8,280) - the given design is the residual.
residual design of 6-(23,8,68) (# 8744)
residual design of supplementary of 6-(23,8,68) (# 8744)
derived from 6-(23,9,340) (# 8767)
derived from supplementary of 6-(23,9,340) (# 8767)

# 1171: 5-(23,8,408)

clan: 14-(30,15,8), 2 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(22,8,340) (# 1170) : der= 5-(22,7,68) and res= 5-(22,8,340) - the given design is the residual.
design 6-(23,8,68) (# 8744) with respect to smaller t
supplementary design of 6-(23,8,68) (# 8744) with respect to smaller t
derived from 6-(24,9,408) (# 8768)
derived from supplementary of 6-(24,9,408) (# 8768)

# 1172: 5-(22,8,40)

clan: 15-(32,16,1), 8 times derived, 2 times residual
$PSL(2,19)++$ 10 solutions

# 1173: 5-(22,8,60)

clan: 13-(30,15,12), 7 times derived, 1 times residual
\cite{Kreher95} $PSL(2,19)++$

# 1174: 5-(22,8,80)

clan: 15-(32,16,2), 8 times derived, 2 times residual
\cite{Kreher95} $PSL(2,19)++$

# 1175: 5-(23,8,96)

clan: 15-(32,16,2), 1 times reduced t, 8 times derived, 1 times residual
Tran van Trung construction (left) for 5-(22,8,80) (# 1174) : der= 5-(22,7,16) and res= 5-(22,8,80) - the given design is the residual.

# 1176: 5-(22,9,1050)

clan: 13-(30,15,60), 6 times derived, 2 times residual
$PSL(2,19)++$
derived from 6-(23,10,1050) (# 8769)

# 1177: 5-(23,9,1350)

clan: 13-(30,15,60), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (left) for 5-(22,9,1050) (# 1176) : der= 5-(22,8,300) and res= 5-(22,9,1050) - the given design is the residual.

# 1178: 5-(23,10,3780)

clan: 13-(30,15,60), 1 times reduced t, 5 times derived, 2 times residual
Tran van Trung construction (right) for 5-(22,9,1050) (# 1176) : der= 5-(22,9,1050) and res= 5-(22,10,2730) - the given design is the derived.
design 6-(23,10,1050) (# 8769) with respect to smaller t
derived from 6-(24,11,3780) (# 9572)

# 1179: 5-(24,9,1710)

clan: 13-(30,15,60), 2 times reduced t, 6 times derived
Tran van Trung construction (left) for 5-(23,9,1350) (# 1177) : der= 5-(23,8,360) and res= 5-(23,9,1350) - the given design is the residual.
$PGL(2,23)$ (>1 isomorphism types)

# 1180: 5-(24,10,5130)

clan: 13-(30,15,60), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (right) for 5-(23,9,1350) (# 1177) : der= 5-(23,9,1350) and res= 5-(23,10,3780) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,10,3780) (# 1178) : der= 5-(23,9,1350) and res= 5-(23,10,3780) - the given design is the residual.
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1181: 5-(24,11,11970)

clan: 13-(30,15,60), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (right) for 5-(23,10,3780) (# 1178) : der= 5-(23,10,3780) and res= 5-(23,11,8190) - the given design is the derived.
design 6-(24,11,3780) (# 9572) with respect to smaller t
derived from 6-(25,12,11970) (# 9576)
derived from supplementary of 6-(25,12,15162) (# 9593)

# 1182: 5-(25,10,6840)

clan: 13-(30,15,60), 3 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,1710) (# 1179) : der= 5-(24,9,1710) and res= 5-(24,10,5130) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,10,5130) (# 1180) : der= 5-(24,9,1710) and res= 5-(24,10,5130) - the given design is the residual.

# 1183: 5-(25,11,17100)

clan: 13-(30,15,60), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,10,5130) (# 1180) : der= 5-(24,10,5130) and res= 5-(24,11,11970) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,11,11970) (# 1181) : der= 5-(24,10,5130) and res= 5-(24,11,11970) - the given design is the residual.

# 1184: 5-(25,12,34200)

clan: 13-(30,15,60), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (right) for 5-(24,11,11970) (# 1181) : der= 5-(24,11,11970) and res= 5-(24,12,22230) - the given design is the derived.
design 6-(25,12,11970) (# 9576) with respect to smaller t
derived from 6-(26,13,34200) (# 9583)
derived from supplementary of 6-(26,13,43320) (# 9592)
supplementary design of 6-(25,12,15162) (# 9593) with respect to smaller t

# 1185: 5-(26,11,23940)

clan: 13-(30,15,60), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,6840) (# 1182) : der= 5-(25,10,6840) and res= 5-(25,11,17100) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,11,17100) (# 1183) : der= 5-(25,10,6840) and res= 5-(25,11,17100) - the given design is the residual.

# 1186: 5-(26,12,51300)

clan: 13-(30,15,60), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(25,11,17100) (# 1183) : der= 5-(25,11,17100) and res= 5-(25,12,34200) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,12,34200) (# 1184) : der= 5-(25,11,17100) and res= 5-(25,12,34200) - the given design is the residual.

# 1187: 5-(26,13,89775)

clan: 13-(30,15,60), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,34200) (# 1184)
design 6-(26,13,34200) (# 9583) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,55575) (# 9589) : der= 5-(25,12,34200) and res= 5-(25,13,55575) - the given design is the residual.
supplementary design of 6-(26,13,43320) (# 9592) with respect to smaller t

# 1188: 5-(27,12,75240)

clan: 13-(30,15,60), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,23940) (# 1185) : der= 5-(26,11,23940) and res= 5-(26,12,51300) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,12,51300) (# 1186) : der= 5-(26,11,23940) and res= 5-(26,12,51300) - the given design is the residual.

# 1189: 5-(27,13,141075)

clan: 13-(30,15,60), 5 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,12,51300) (# 1186) : der= 5-(26,12,51300) and res= 5-(26,13,89775) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,13,89775) (# 1187) : der= 5-(26,12,51300) and res= 5-(26,13,89775) - the given design is the residual.

# 1190: 5-(28,13,216315)

clan: 13-(30,15,60), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,75240) (# 1188) : der= 5-(27,12,75240) and res= 5-(27,13,141075) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,13,141075) (# 1189) : der= 5-(27,12,75240) and res= 5-(27,13,141075) - the given design is the residual.

# 1191: 5-(28,14,360525)

clan: 13-(30,15,60), 6 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,141075) (# 1189)

# 1192: 5-(29,14,576840)

clan: 13-(30,15,60), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,216315) (# 1190) : der= 5-(28,13,216315) and res= 5-(28,14,360525) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,14,360525) (# 1191) : der= 5-(28,13,216315) and res= 5-(28,14,360525) - the given design is the residual.

# 1193: 5-(30,15,1442100)

clan: 13-(30,15,60), 8 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,576840) (# 1192)

# 1194: 5-(22,9,1120)

clan: 15-(32,16,8), 7 times derived, 3 times residual
$PSL(2,19)++$
derived from 6-(23,10,1120) (# 8773)
residual design of 6-(23,9,320) (# 13168)
residual design of supplementary of 6-(23,9,360) (# 13170)
derived from supplementary of 6-(23,10,1260) (# 13171)

# 1195: 5-(23,9,1440)

clan: 15-(32,16,8), 1 times reduced t, 7 times derived, 2 times residual
Tran van Trung construction (left) for 5-(22,9,1120) (# 1194) : der= 5-(22,8,320) and res= 5-(22,9,1120) - the given design is the residual.
derived from 6-(24,10,1440) (# 13167)
design 6-(23,9,320) (# 13168) with respect to smaller t
derived from supplementary of 6-(24,10,1620) (# 13169)
supplementary design of 6-(23,9,360) (# 13170) with respect to smaller t
residual design of 6-(24,9,384) (# 13389)
residual design of supplementary of 6-(24,9,432) (# 13390)

# 1196: 5-(23,10,4032)

clan: 15-(32,16,8), 1 times reduced t, 6 times derived, 3 times residual
Tran van Trung construction (right) for 5-(22,9,1120) (# 1194) : der= 5-(22,9,1120) and res= 5-(22,10,2912) - the given design is the derived.
$PSL(2,19) + C_3$
design 6-(23,10,1120) (# 8773) with respect to smaller t
derived from 6-(24,11,4032) (# 9648)
residual design of 6-(24,10,1440) (# 13167)
residual design of supplementary of 6-(24,10,1620) (# 13169)
supplementary design of 6-(23,10,1260) (# 13171) with respect to smaller t
derived from supplementary of 6-(24,11,4536) (# 13176)

# 1197: 5-(24,10,5472)

clan: 15-(32,16,8), 2 times reduced t, 6 times derived, 2 times residual
Tran van Trung construction (right) for 5-(23,9,1440) (# 1195) : der= 5-(23,9,1440) and res= 5-(23,10,4032) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,10,4032) (# 1196) : der= 5-(23,9,1440) and res= 5-(23,10,4032) - the given design is the residual.
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,10,1440) (# 13167) with respect to smaller t
supplementary design of 6-(24,10,1620) (# 13169) with respect to smaller t
derived from 6-(25,11,5472) (# 13174)
derived from supplementary of 6-(25,11,6156) (# 13180)
residual design of 6-(25,10,1824) (# 13392)
residual design of supplementary of 6-(25,10,2052) (# 13394)

# 1198: 5-(24,11,12768)

clan: 15-(32,16,8), 2 times reduced t, 5 times derived, 3 times residual
Tran van Trung construction (right) for 5-(23,10,4032) (# 1196) : der= 5-(23,10,4032) and res= 5-(23,11,8736) - the given design is the derived.
design 6-(24,11,4032) (# 9648) with respect to smaller t
derived from 6-(25,12,12768) (# 9651)
derived from supplementary of 6-(25,12,14364) (# 9665)
residual design of 6-(25,11,5472) (# 13174)
supplementary design of 6-(24,11,4536) (# 13176) with respect to smaller t
residual design of supplementary of 6-(25,11,6156) (# 13180)

# 1199: 5-(25,11,18240)

clan: 15-(32,16,8), 3 times reduced t, 5 times derived, 2 times residual
Tran van Trung construction (right) for 5-(24,10,5472) (# 1197) : der= 5-(24,10,5472) and res= 5-(24,11,12768) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,11,12768) (# 1198) : der= 5-(24,10,5472) and res= 5-(24,11,12768) - the given design is the residual.
design 6-(25,11,5472) (# 13174) with respect to smaller t
derived from 6-(26,12,18240) (# 13179)
supplementary design of 6-(25,11,6156) (# 13180) with respect to smaller t
derived from supplementary of 6-(26,12,20520) (# 13185)
residual design of 6-(26,11,7296) (# 13396)
residual design of supplementary of 6-(26,11,8208) (# 13398)

created: Fri Oct 23 11:09:38 CEST 2009