t designs with small t, id ge 1000

• clan: 7-(24,12,1316), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,1316) (# 8934)
• derived from supplementary of 6-(23,11,4872) (# 8945)

# 1001: 5-(23,11,3948)

• clan: 7-(24,12,1316), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1316) (# 1000) : der= 5-(22,10,1316) and res= 5-(22,11,2632) - the given design is the derived.
• design 6-(23,11,1316) (# 8934) with respect to smaller t
• derived from 6-(24,12,3948) (# 8935)
• derived from supplementary of 6-(24,12,14616) (# 8944)
• supplementary design of 6-(23,11,4872) (# 8945) with respect to smaller t

# 1002: 5-(24,12,10716)

• clan: 7-(24,12,1316), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,3948) (# 1001)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,3948) (# 8935) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,6768) (# 8940) : der= 5-(23,11,3948) and res= 5-(23,12,6768) - the given design is the residual.
• supplementary design of 6-(24,12,14616) (# 8944) with respect to smaller t

# 1003: 5-(22,10,1386)

• clan: 7-(24,12,1386), 2 times derived
• $PGL(2,19)++$
• derived from 6-(23,11,1386) (# 8950)
• derived from supplementary of 6-(23,11,4802) (# 8961)

# 1004: 5-(23,11,4158)

• clan: 7-(24,12,1386), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1386) (# 1003) : der= 5-(22,10,1386) and res= 5-(22,11,2772) - the given design is the derived.
• design 6-(23,11,1386) (# 8950) with respect to smaller t
• derived from 6-(24,12,4158) (# 8951)
• derived from supplementary of 6-(24,12,14406) (# 8960)
• supplementary design of 6-(23,11,4802) (# 8961) with respect to smaller t

# 1005: 5-(24,12,11286)

• clan: 7-(24,12,1386), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,4158) (# 1004)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,4158) (# 8951) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,7128) (# 8956) : der= 5-(23,11,4158) and res= 5-(23,12,7128) - the given design is the residual.
• supplementary design of 6-(24,12,14406) (# 8960) with respect to smaller t

# 1006: 5-(22,10,1512)

• clan: 7-(24,12,1512), 2 times derived
• $M_{11}\times C_2$,
• $PGL(2,19)++$
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,1512) (# 9020)
• derived from supplementary of 6-(23,11,4676) (# 9031)

# 1007: 5-(23,11,4536)

• clan: 7-(24,12,1512), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1512) (# 1006) : der= 5-(22,10,1512) and res= 5-(22,11,3024) - the given design is the derived.
• design 6-(23,11,1512) (# 9020) with respect to smaller t
• derived from 6-(24,12,4536) (# 9021)
• derived from supplementary of 6-(24,12,14028) (# 9030)
• supplementary design of 6-(23,11,4676) (# 9031) with respect to smaller t

# 1008: 5-(24,12,12312)

• clan: 7-(24,12,1512), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,4536) (# 1007)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,4536) (# 9021) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,7776) (# 9026) : der= 5-(23,11,4536) and res= 5-(23,12,7776) - the given design is the residual.
• supplementary design of 6-(24,12,14028) (# 9030) with respect to smaller t

# 1009: 5-(22,10,1540)

• clan: 7-(24,12,1540), 2 times derived
• $M_{11}\times C_2$,

# 1010: 5-(22,10,1736)

• clan: 7-(24,12,1736), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$

# 1011: 5-(23,11,5208)

• clan: 7-(24,12,1736), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1736) (# 1010) : der= 5-(22,10,1736) and res= 5-(22,11,3472) - the given design is the derived.

# 1012: 5-(24,12,14136)

• clan: 7-(24,12,1736), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,5208) (# 1011)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1013: 5-(22,10,1806)

• clan: 7-(24,12,1806), 2 times derived
• $PSL(2,19)++$

# 1014: 5-(23,11,5418)

• clan: 7-(24,12,1806), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1806) (# 1013) : der= 5-(22,10,1806) and res= 5-(22,11,3612) - the given design is the derived.

# 1015: 5-(24,12,14706)

• clan: 7-(24,12,1806), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,5418) (# 1014)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1016: 5-(22,10,1890)

• clan: 7-(24,12,1890), 2 times derived
• $PGL(2,19)++$
• derived from 6-(23,11,1890) (# 9224)
• derived from supplementary of 6-(23,11,4298) (# 9235)

# 1017: 5-(23,11,5670)

• clan: 7-(24,12,1890), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1890) (# 1016) : der= 5-(22,10,1890) and res= 5-(22,11,3780) - the given design is the derived.
• design 6-(23,11,1890) (# 9224) with respect to smaller t
• derived from 6-(24,12,5670) (# 9225)
• derived from supplementary of 6-(24,12,12894) (# 9234)
• supplementary design of 6-(23,11,4298) (# 9235) with respect to smaller t

# 1018: 5-(24,12,15390)

• clan: 7-(24,12,1890), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,5670) (# 1017)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,5670) (# 9225) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,9720) (# 9230) : der= 5-(23,11,5670) and res= 5-(23,12,9720) - the given design is the residual.
• supplementary design of 6-(24,12,12894) (# 9234) with respect to smaller t

# 1019: 5-(22,10,1932)

• clan: 7-(24,12,1932), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$

# 1020: 5-(23,11,5796)

• clan: 7-(24,12,1932), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1932) (# 1019) : der= 5-(22,10,1932) and res= 5-(22,11,3864) - the given design is the derived.

# 1021: 5-(24,12,15732)

• clan: 7-(24,12,1932), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,5796) (# 1020)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1022: 5-(22,10,1988)

• clan: 7-(24,12,1988), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$

# 1023: 5-(23,11,5964)

• clan: 7-(24,12,1988), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,1988) (# 1022) : der= 5-(22,10,1988) and res= 5-(22,11,3976) - the given design is the derived.

# 1024: 5-(24,12,16188)

• clan: 7-(24,12,1988), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,5964) (# 1023)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1025: 5-(22,10,2016)

• clan: 7-(24,12,2016), 2 times derived
• $M_{11}\times C_2$,
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,2016) (# 9258)
• derived from supplementary of 6-(23,11,4172) (# 9269)

# 1026: 5-(23,11,6048)

• clan: 7-(24,12,2016), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2016) (# 1025) : der= 5-(22,10,2016) and res= 5-(22,11,4032) - the given design is the derived.
• design 6-(23,11,2016) (# 9258) with respect to smaller t
• derived from 6-(24,12,6048) (# 9259)
• derived from supplementary of 6-(24,12,12516) (# 9268)
• supplementary design of 6-(23,11,4172) (# 9269) with respect to smaller t

# 1027: 5-(24,12,16416)

• clan: 7-(24,12,2016), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,6048) (# 1026)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,6048) (# 9259) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,10368) (# 9264) : der= 5-(23,11,6048) and res= 5-(23,12,10368) - the given design is the residual.
• supplementary design of 6-(24,12,12516) (# 9268) with respect to smaller t

# 1028: 5-(22,10,2072)

• clan: 7-(24,12,2072), 2 times derived
• $M_{11}\times C_2$,
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,2072) (# 9292)
• derived from supplementary of 6-(23,11,4116) (# 9303)

# 1029: 5-(23,11,6216)

• clan: 7-(24,12,2072), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2072) (# 1028) : der= 5-(22,10,2072) and res= 5-(22,11,4144) - the given design is the derived.
• design 6-(23,11,2072) (# 9292) with respect to smaller t
• derived from 6-(24,12,6216) (# 9293)
• derived from supplementary of 6-(24,12,12348) (# 9302)
• supplementary design of 6-(23,11,4116) (# 9303) with respect to smaller t

# 1030: 5-(24,12,16872)

• clan: 7-(24,12,2072), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,6216) (# 1029)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,6216) (# 9293) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,10656) (# 9298) : der= 5-(23,11,6216) and res= 5-(23,12,10656) - the given design is the residual.
• supplementary design of 6-(24,12,12348) (# 9302) with respect to smaller t

# 1031: 5-(22,10,2100)

• clan: 7-(24,12,2100), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,2100) (# 9308)
• derived from supplementary of 6-(23,11,4088) (# 9319)

# 1032: 5-(23,11,6300)

• clan: 7-(24,12,2100), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2100) (# 1031) : der= 5-(22,10,2100) and res= 5-(22,11,4200) - the given design is the derived.
• design 6-(23,11,2100) (# 9308) with respect to smaller t
• derived from 6-(24,12,6300) (# 9309)
• derived from supplementary of 6-(24,12,12264) (# 9318)
• supplementary design of 6-(23,11,4088) (# 9319) with respect to smaller t

# 1033: 5-(24,12,17100)

• clan: 7-(24,12,2100), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,6300) (# 1032)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,6300) (# 9309) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,10800) (# 9314) : der= 5-(23,11,6300) and res= 5-(23,12,10800) - the given design is the residual.
• supplementary design of 6-(24,12,12264) (# 9318) with respect to smaller t

# 1034: 5-(22,10,2156)

• clan: 7-(24,12,2156), 2 times derived
• $PSL(3,4)- \cup C2$
• derived from 6-(23,11,2156) (# 9358)
• derived from supplementary of 6-(23,11,4032) (# 9369)

# 1035: 5-(23,11,6468)

• clan: 7-(24,12,2156), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2156) (# 1034) : der= 5-(22,10,2156) and res= 5-(22,11,4312) - the given design is the derived.
• design 6-(23,11,2156) (# 9358) with respect to smaller t
• derived from 6-(24,12,6468) (# 9359)
• derived from supplementary of 6-(24,12,12096) (# 9368)
• supplementary design of 6-(23,11,4032) (# 9369) with respect to smaller t

# 1036: 5-(24,12,17556)

• clan: 7-(24,12,2156), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,6468) (# 1035)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,6468) (# 9359) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,11088) (# 9364) : der= 5-(23,11,6468) and res= 5-(23,12,11088) - the given design is the residual.
• supplementary design of 6-(24,12,12096) (# 9368) with respect to smaller t

# 1037: 5-(22,10,2352)

• clan: 7-(24,12,2352), 2 times derived
• $PSL(3,4)- \cup C2$
• derived from 6-(23,11,2352) (# 9446)
• derived from supplementary of 6-(23,11,3836) (# 9457)

# 1038: 5-(23,11,7056)

• clan: 7-(24,12,2352), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2352) (# 1037) : der= 5-(22,10,2352) and res= 5-(22,11,4704) - the given design is the derived.
• design 6-(23,11,2352) (# 9446) with respect to smaller t
• derived from 6-(24,12,7056) (# 9447)
• derived from supplementary of 6-(24,12,11508) (# 9456)
• supplementary design of 6-(23,11,3836) (# 9457) with respect to smaller t

# 1039: 5-(24,12,19152)

• clan: 7-(24,12,2352), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,7056) (# 1038)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,7056) (# 9447) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,12096) (# 9452) : der= 5-(23,11,7056) and res= 5-(23,12,12096) - the given design is the residual.
• supplementary design of 6-(24,12,11508) (# 9456) with respect to smaller t

# 1040: 5-(22,10,2436)

• clan: 7-(24,12,2436), 2 times derived
• $P\Gamma L(2,9)\times C_2 + C_2$

# 1041: 5-(23,11,7308)

• clan: 7-(24,12,2436), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2436) (# 1040) : der= 5-(22,10,2436) and res= 5-(22,11,4872) - the given design is the derived.

# 1042: 5-(24,12,19836)

• clan: 7-(24,12,2436), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,7308) (# 1041)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1043: 5-(22,10,252)

• clan: 7-(24,12,252), 2 times derived
• $PSL(2,19)++$

# 1044: 5-(23,11,756)

• clan: 7-(24,12,252), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,252) (# 1043) : der= 5-(22,10,252) and res= 5-(22,11,504) - the given design is the derived.

# 1045: 5-(24,12,2052)

• clan: 7-(24,12,252), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,756) (# 1044)
• Tran van Trung construction (right) for 5-(23,11,756) (# 1044) : der= 5-(23,11,756) and res= 5-(23,12,1296) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,1296) (# 1046) : der= 5-(23,11,756) and res= 5-(23,12,1296) - the given design is the residual.

# 1046: 5-(23,12,1296)

• clan: 7-(24,12,252), 1 times reduced t, 1 times residual
• complementary design of 5-(23,11,756) (# 1044)

# 1047: 5-(22,10,2520)

• clan: 7-(24,12,2520), 2 times derived
• $PGL(2,19)++$
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,2520) (# 9498)
• derived from supplementary of 6-(23,11,3668) (# 9509)

# 1048: 5-(23,11,7560)

• clan: 7-(24,12,2520), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2520) (# 1047) : der= 5-(22,10,2520) and res= 5-(22,11,5040) - the given design is the derived.
• design 6-(23,11,2520) (# 9498) with respect to smaller t
• derived from 6-(24,12,7560) (# 9499)
• derived from supplementary of 6-(24,12,11004) (# 9508)
• supplementary design of 6-(23,11,3668) (# 9509) with respect to smaller t

# 1049: 5-(24,12,20520)

• clan: 7-(24,12,2520), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,7560) (# 1048)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,7560) (# 9499) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,12960) (# 9504) : der= 5-(23,11,7560) and res= 5-(23,12,12960) - the given design is the residual.
• supplementary design of 6-(24,12,11004) (# 9508) with respect to smaller t

# 1050: 5-(22,10,2562)

• clan: 7-(24,12,2562), 2 times derived
• $PGL(2,19)++$

# 1051: 5-(23,11,7686)

• clan: 7-(24,12,2562), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2562) (# 1050) : der= 5-(22,10,2562) and res= 5-(22,11,5124) - the given design is the derived.

# 1052: 5-(24,12,20862)

• clan: 7-(24,12,2562), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,7686) (# 1051)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1053: 5-(22,10,2730)

• clan: 13-(30,15,60), 5 times derived, 3 times residual
• $PGL(2,19)++$
• residual design of 6-(23,10,1050) (# 8769)
• derived from 6-(23,11,2730) (# 9567)
• derived from supplementary of 6-(23,11,3458) (# 9579)

# 1054: 5-(23,11,8190)

• clan: 13-(30,15,60), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(22,10,2730) (# 1053) : der= 5-(22,10,2730) and res= 5-(22,11,5460) - the given design is the derived.
• design 6-(23,11,2730) (# 9567) with respect to smaller t
• derived from 6-(24,12,8190) (# 9568)
• residual design of 6-(24,11,3780) (# 9572)
• derived from supplementary of 6-(24,12,10374) (# 9578)
• supplementary design of 6-(23,11,3458) (# 9579) with respect to smaller t

# 1055: 5-(24,12,22230)

• clan: 13-(30,15,60), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(23,11,8190) (# 1054)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,8190) (# 9568) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,14040) (# 9573) : der= 5-(23,11,8190) and res= 5-(23,12,14040) - the given design is the residual.
• residual design of 6-(25,12,11970) (# 9576)
• supplementary design of 6-(24,12,10374) (# 9578) with respect to smaller t
• derived from 6-(25,13,22230) (# 9591)
• residual design of supplementary of 6-(25,12,15162) (# 9593)
• derived from supplementary of 6-(25,13,28158) (# 9594)

# 1056: 5-(22,10,2772)

• clan: 7-(24,12,2772), 2 times derived
• $PGL(2,19)++$
• $P\Gamma L(2,9)\times C_2 + C_2$
• derived from 6-(23,11,2772) (# 9598)
• derived from supplementary of 6-(23,11,3416) (# 9608)

# 1057: 5-(23,11,8316)

• clan: 7-(24,12,2772), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2772) (# 1056) : der= 5-(22,10,2772) and res= 5-(22,11,5544) - the given design is the derived.
• design 6-(23,11,2772) (# 9598) with respect to smaller t
• derived from 6-(24,12,8316) (# 9599)
• derived from supplementary of 6-(24,12,10248) (# 9607)
• supplementary design of 6-(23,11,3416) (# 9608) with respect to smaller t

# 1058: 5-(24,12,22572)

• clan: 7-(24,12,2772), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,8316) (# 1057)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,8316) (# 9599) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,14256) (# 9603) : der= 5-(23,11,8316) and res= 5-(23,12,14256) - the given design is the residual.
• supplementary design of 6-(24,12,10248) (# 9607) with respect to smaller t

# 1059: 5-(22,10,2898)

• clan: 7-(24,12,2898), 2 times derived
• $PGL(2,19)++$
• derived from 6-(23,11,2898) (# 9630)
• derived from supplementary of 6-(23,11,3290) (# 9640)

# 1060: 5-(23,11,8694)

• clan: 7-(24,12,2898), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,2898) (# 1059) : der= 5-(22,10,2898) and res= 5-(22,11,5796) - the given design is the derived.
• design 6-(23,11,2898) (# 9630) with respect to smaller t
• derived from 6-(24,12,8694) (# 9631)
• derived from supplementary of 6-(24,12,9870) (# 9639)
• supplementary design of 6-(23,11,3290) (# 9640) with respect to smaller t

# 1061: 5-(24,12,23598)

• clan: 7-(24,12,2898), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,8694) (# 1060)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,8694) (# 9631) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,14904) (# 9635) : der= 5-(23,11,8694) and res= 5-(23,12,14904) - the given design is the residual.
• supplementary design of 6-(24,12,9870) (# 9639) with respect to smaller t

# 1062: 5-(22,10,2912)

• clan: 15-(32,16,8), 6 times derived, 4 times residual
• $PGL(2,19)++$
• $P\Gamma L(2,9)\times C_2 + C_2$
• residual design of 6-(23,10,1120) (# 8773)
• derived from 6-(23,11,2912) (# 9645)
• derived from supplementary of 6-(23,11,3276) (# 9654)
• residual design of supplementary of 6-(23,10,1260) (# 13171)

# 1063: 5-(23,11,8736)

• clan: 15-(32,16,8), 1 times reduced t, 5 times derived, 4 times residual
• Tran van Trung construction (right) for 5-(22,10,2912) (# 1062) : der= 5-(22,10,2912) and res= 5-(22,11,5824) - the given design is the derived.
• design 6-(23,11,2912) (# 9645) with respect to smaller t
• derived from 6-(24,12,8736) (# 9646)
• residual design of 6-(24,11,4032) (# 9648)
• derived from supplementary of 6-(24,12,9828) (# 9653)
• supplementary design of 6-(23,11,3276) (# 9654) with respect to smaller t
• residual design of supplementary of 6-(24,11,4536) (# 13176)

# 1064: 5-(24,12,23712)

• clan: 15-(32,16,8), 2 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 5-(23,11,8736) (# 1063)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,8736) (# 9646) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,14976) (# 9649) : der= 5-(23,11,8736) and res= 5-(23,12,14976) - the given design is the residual.
• residual design of 6-(25,12,12768) (# 9651)
• supplementary design of 6-(24,12,9828) (# 9653) with respect to smaller t
• derived from 6-(25,13,23712) (# 9663)
• residual design of supplementary of 6-(25,12,14364) (# 9665)
• derived from supplementary of 6-(25,13,26676) (# 9666)

# 1065: 5-(22,10,308)

• clan: 7-(24,12,308), 2 times derived
• $PGL(2,19)++$ 5 solutions

# 1066: 5-(23,11,924)

• clan: 7-(24,12,308), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,308) (# 1065) : der= 5-(22,10,308) and res= 5-(22,11,616) - the given design is the derived.

# 1067: 5-(24,12,2508)

• clan: 7-(24,12,308), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,924) (# 1066)
• Tran van Trung construction (right) for 5-(23,11,924) (# 1066) : der= 5-(23,11,924) and res= 5-(23,12,1584) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,1584) (# 1068) : der= 5-(23,11,924) and res= 5-(23,12,1584) - the given design is the residual.
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1068: 5-(23,12,1584)

• clan: 7-(24,12,308), 1 times reduced t, 1 times residual
• complementary design of 5-(23,11,924) (# 1066)

# 1069: 5-(22,10,3276)

• clan: 15-(32,16,9), 6 times derived, 4 times residual
• $P\Gamma L(2,9)\times C_2 + C_2$
• residual design of supplementary of 6-(23,10,1120) (# 8773)
• derived from supplementary of 6-(23,11,2912) (# 9645)
• derived from 6-(23,11,3276) (# 9654)
• residual design of 6-(23,10,1260) (# 13171)

# 1070: 5-(23,11,9828)

• clan: 15-(32,16,9), 1 times reduced t, 5 times derived, 4 times residual
• Tran van Trung construction (right) for 5-(22,10,3276) (# 1069) : der= 5-(22,10,3276) and res= 5-(22,11,6552) - the given design is the derived.
• supplementary design of 6-(23,11,2912) (# 9645) with respect to smaller t
• derived from supplementary of 6-(24,12,8736) (# 9646)
• residual design of supplementary of 6-(24,11,4032) (# 9648)
• derived from 6-(24,12,9828) (# 9653)
• design 6-(23,11,3276) (# 9654) with respect to smaller t
• residual design of 6-(24,11,4536) (# 13176)

# 1071: 5-(24,12,26676)

• clan: 15-(32,16,9), 2 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 5-(23,11,9828) (# 1070)
• supplementary design of 6-(24,12,8736) (# 9646) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,16848) (# 9650) : der= 5-(23,11,9828) and res= 5-(23,12,16848) - the given design is the residual.
• residual design of supplementary of 6-(25,12,12768) (# 9651)
• design 6-(24,12,9828) (# 9653) with respect to smaller t
• derived from supplementary of 6-(25,13,23712) (# 9663)
• residual design of 6-(25,12,14364) (# 9665)
• derived from 6-(25,13,26676) (# 9666)

# 1072: 5-(22,10,378)

• clan: 7-(24,12,378), 2 times derived
• $PGL(2,19)++$ 126 solutions

# 1073: 5-(23,11,1134)

• clan: 7-(24,12,378), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,378) (# 1072) : der= 5-(22,10,378) and res= 5-(22,11,756) - the given design is the derived.

# 1074: 5-(24,12,3078)

• clan: 7-(24,12,378), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1134) (# 1073)

# 1075: 5-(22,10,392)

• clan: 7-(24,12,392), 2 times derived
• $PGL(2,19)++$ 425 solutions

# 1076: 5-(23,11,1176)

• clan: 7-(24,12,392), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,392) (# 1075) : der= 5-(22,10,392) and res= 5-(22,11,784) - the given design is the derived.

# 1077: 5-(24,12,3192)

• clan: 7-(24,12,392), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1176) (# 1076)

# 1078: 5-(22,10,420)

• clan: 7-(24,12,420), 2 times derived
• $PGL(2,19)++$ 183 solutions

# 1079: 5-(23,11,1260)

• clan: 7-(24,12,420), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,420) (# 1078) : der= 5-(22,10,420) and res= 5-(22,11,840) - the given design is the derived.

# 1080: 5-(24,12,3420)

• clan: 7-(24,12,420), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1260) (# 1079)

# 1081: 5-(22,10,462)

• clan: 7-(24,12,462), 2 times derived
• $PGL(2,19)++$ 48 solutions

# 1082: 5-(23,11,1386)

• clan: 7-(24,12,462), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,462) (# 1081) : der= 5-(22,10,462) and res= 5-(22,11,924) - the given design is the derived.

# 1083: 5-(24,12,3762)

• clan: 7-(24,12,462), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1386) (# 1082)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 1084: 5-(22,10,518)

• clan: 7-(24,12,518), 2 times derived
• $PGL(2,19)++$ 1535 solutions

# 1085: 5-(23,11,1554)

• clan: 7-(24,12,518), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,518) (# 1084) : der= 5-(22,10,518) and res= 5-(22,11,1036) - the given design is the derived.

# 1086: 5-(24,12,4218)

• clan: 7-(24,12,518), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1554) (# 1085)

# 1087: 5-(22,10,546)

• clan: 13-(30,15,12), 5 times derived, 3 times residual
• $PGL(2,19)++$

# 1088: 5-(23,11,1638)

• clan: 13-(30,15,12), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(22,10,546) (# 1087) : der= 5-(22,10,546) and res= 5-(22,11,1092) - the given design is the derived.

# 1089: 5-(24,12,4446)

• clan: 13-(30,15,12), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(23,11,1638) (# 1088)

# 1090: 5-(22,10,560)

• clan: 7-(24,12,560), 2 times derived
• $PGL(2,19)++$

# 1091: 5-(23,11,1680)

• clan: 7-(24,12,560), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,560) (# 1090) : der= 5-(22,10,560) and res= 5-(22,11,1120) - the given design is the derived.

# 1092: 5-(24,12,4560)

• clan: 7-(24,12,560), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1680) (# 1091)

# 1093: 5-(22,10,588)

• clan: 7-(24,12,588), 2 times derived
• $PGL(2,19)++$

# 1094: 5-(23,11,1764)

• clan: 7-(24,12,588), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,588) (# 1093) : der= 5-(22,10,588) and res= 5-(22,11,1176) - the given design is the derived.

# 1095: 5-(24,12,4788)

• clan: 7-(24,12,588), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1764) (# 1094)

# 1096: 5-(22,10,602)

• clan: 7-(24,12,602), 2 times derived
• $PGL(2,19)++$

# 1097: 5-(23,11,1806)

• clan: 7-(24,12,602), 1 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(22,10,602) (# 1096) : der= 5-(22,10,602) and res= 5-(22,11,1204) - the given design is the derived.

# 1098: 5-(24,12,4902)

• clan: 7-(24,12,602), 2 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,1806) (# 1097)

# 1099: 5-(22,10,616)

• clan: 7-(24,12,616), 2 times derived
• $M_{11}\times C_2$, 34 solutions

created: Fri Oct 23 11:09:37 CEST 2009