t designs with small t, id ge 13100

• clan: 21-(96,24,41605), 15 times derived, 1 times residual
• residual design of supplementary of 6-(81,9,25920) (# 13094)

# 13101: 6-(81,9,29160)

• clan: 21-(96,24,29160), 15 times derived
• $ASL(4,3)$

# 13102: 5-(81,9,554040)

• clan: 21-(96,24,29160), 1 times reduced t, 15 times derived
• design 6-(81,9,29160) (# 13101) with respect to smaller t
• Tran van Trung construction (right) for 5-(80,8,29160) (# 13103) : der= 5-(80,8,29160) and res= 5-(80,9,524880) - the given design is the derived.
• Tran van Trung construction (left) for 5-(80,9,524880) (# 13104) : der= 5-(80,8,29160) and res= 5-(80,9,524880) - the given design is the residual.

# 13103: 5-(80,8,29160)

• clan: 21-(96,24,29160), 16 times derived
• derived from 6-(81,9,29160) (# 13101)

# 13104: 5-(80,9,524880)

• clan: 21-(96,24,29160), 15 times derived, 1 times residual
• residual design of 6-(81,9,29160) (# 13101)

# 13105: 5-(81,9,728935)

• clan: 21-(96,24,38365), 1 times reduced t, 15 times derived
• supplementary design of 6-(81,9,29160) (# 13101) with respect to smaller t
• Tran van Trung construction (right) for 5-(80,8,38365) (# 13106) : der= 5-(80,8,38365) and res= 5-(80,9,690570) - the given design is the derived.
• Tran van Trung construction (left) for 5-(80,9,690570) (# 13107) : der= 5-(80,8,38365) and res= 5-(80,9,690570) - the given design is the residual.

# 13106: 5-(80,8,38365)

• clan: 21-(96,24,38365), 16 times derived
• derived from supplementary of 6-(81,9,29160) (# 13101)

# 13107: 5-(80,9,690570)

• clan: 21-(96,24,38365), 15 times derived, 1 times residual
• residual design of supplementary of 6-(81,9,29160) (# 13101)

# 13108: 6-(81,9,31885)

• clan: 21-(96,24,31885), 15 times derived
• $ASL(4,3)$

# 13109: 5-(81,9,605815)

• clan: 21-(96,24,31885), 1 times reduced t, 15 times derived
• design 6-(81,9,31885) (# 13108) with respect to smaller t
• Tran van Trung construction (right) for 5-(80,8,31885) (# 13110) : der= 5-(80,8,31885) and res= 5-(80,9,573930) - the given design is the derived.
• Tran van Trung construction (left) for 5-(80,9,573930) (# 13111) : der= 5-(80,8,31885) and res= 5-(80,9,573930) - the given design is the residual.

# 13110: 5-(80,8,31885)

• clan: 21-(96,24,31885), 16 times derived
• derived from 6-(81,9,31885) (# 13108)

# 13111: 5-(80,9,573930)

• clan: 21-(96,24,31885), 15 times derived, 1 times residual
• residual design of 6-(81,9,31885) (# 13108)

# 13112: 5-(81,9,677160)

• clan: 21-(96,24,35640), 1 times reduced t, 15 times derived
• supplementary design of 6-(81,9,31885) (# 13108) with respect to smaller t
• Tran van Trung construction (right) for 5-(80,8,35640) (# 13113) : der= 5-(80,8,35640) and res= 5-(80,9,641520) - the given design is the derived.
• Tran van Trung construction (left) for 5-(80,9,641520) (# 13114) : der= 5-(80,8,35640) and res= 5-(80,9,641520) - the given design is the residual.

# 13113: 5-(80,8,35640)

• clan: 21-(96,24,35640), 16 times derived
• derived from supplementary of 6-(81,9,31885) (# 13108)

# 13114: 5-(80,9,641520)

• clan: 21-(96,24,35640), 15 times derived, 1 times residual
• residual design of supplementary of 6-(81,9,31885) (# 13108)

# 13115: 7-(20,10,134)

• clan: 7-(20,10,134)
• $ {\bf PSL(2,9)}{\bf C}_{2}\times $ (4 solutions, 1 isomorphism type) %-group 6 PSL 2 9 Cyclic 2 Direct_product PSL_2_9C2X
• Alltop construction for design 6-(19,9,134) (# 13116)
• PSL(2,19) (10 isom. types) \cite{Bettenetal97b}

# 13116: 6-(19,9,134)

• clan: 7-(20,10,134), 1 times derived
• derived from 7-(20,10,134) (# 13115)
• derived from supplementary of 7-(20,10,152) (# 13126)

# 13117: 6-(19,10,335)

• clan: 7-(20,10,134), 1 times residual
• residual design of 7-(20,10,134) (# 13115)
• complementary design of 6-(19,9,134) (# 13116)
• residual design of supplementary of 7-(20,10,152) (# 13126)

# 13118: 6-(20,10,532)

• clan: 7-(20,10,152), 1 times reduced t
• supplementary design of 7-(20,10,134) (# 13115) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(19,9,152) (# 13119)
• Tran van Trung construction (right) for 6-(19,9,152) (# 13119) : der= 6-(19,9,152) and res= 6-(19,10,380) - the given design is the derived.
• Tran van Trung construction (left) for 6-(19,10,380) (# 13120) : der= 6-(19,9,152) and res= 6-(19,10,380) - the given design is the residual.
• design 7-(20,10,152) (# 13126) with respect to smaller t

# 13119: 6-(19,9,152)

• clan: 7-(20,10,152), 1 times derived
• derived from supplementary of 7-(20,10,134) (# 13115)
• derived from 7-(20,10,152) (# 13126)

# 13120: 6-(19,10,380)

• clan: 7-(20,10,152), 1 times residual
• residual design of supplementary of 7-(20,10,134) (# 13115)
• complementary design of 6-(19,9,152) (# 13119)
• residual design of 7-(20,10,152) (# 13126)

# 13121: 5-(18,8,134)

• clan: 7-(20,10,134), 2 times derived
• derived from 6-(19,9,134) (# 13116)
• derived from supplementary of 6-(19,9,152) (# 13119)

# 13122: 5-(18,8,152)

• clan: 7-(20,10,152), 2 times derived
• derived from supplementary of 6-(19,9,134) (# 13116)
• derived from 6-(19,9,152) (# 13119)

# 13123: 5-(18,9,380)

• clan: 7-(20,10,152), 1 times derived, 1 times residual
• residual design of supplementary of 6-(19,9,134) (# 13116)
• derived from supplementary of 6-(19,10,335) (# 13117)
• residual design of 6-(19,9,152) (# 13119)
• derived from 6-(19,10,380) (# 13120)

# 13124: 5-(18,10,603)

• clan: 7-(20,10,134), 2 times residual
• residual design of 6-(19,10,335) (# 13117)
• residual design of supplementary of 6-(19,10,380) (# 13120)

# 13125: 5-(18,10,684)

• clan: 7-(20,10,152), 2 times residual
• residual design of supplementary of 6-(19,10,335) (# 13117)
• residual design of 6-(19,10,380) (# 13120)

# 13126: 7-(20,10,152)

• clan: 7-(20,10,152)
• Alltop construction for design 6-(19,9,152) (# 13119)

# 13127: 7-(22,11,315)

• clan: 11-(24,12,3), 2 times reduced t, 1 times derived, 1 times residual
• $ {\bf PGL(2,19)++}$ 1 isom. type
• Alltop construction for design 6-(21,10,315) (# 13128)

# 13128: 6-(21,10,315)

• clan: 11-(24,12,3), 2 times reduced t, 2 times derived, 1 times residual
• derived from 7-(22,11,315) (# 13127)
• derived from supplementary of 7-(22,11,1050) (# 13136)

# 13129: 6-(21,11,693)

• clan: 11-(24,12,3), 2 times reduced t, 1 times derived, 2 times residual
• residual design of 7-(22,11,315) (# 13127)
• complementary design of 6-(21,10,315) (# 13128)
• residual design of supplementary of 7-(22,11,1050) (# 13136)

# 13130: 6-(22,11,3360)

• clan: 11-(24,12,10), 3 times reduced t, 1 times derived, 1 times residual
• supplementary design of 7-(22,11,315) (# 13127) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(21,10,1050) (# 13131)
• Tran van Trung construction (right) for 6-(21,10,1050) (# 13131) : der= 6-(21,10,1050) and res= 6-(21,11,2310) - the given design is the derived.
• Tran van Trung construction (left) for 6-(21,11,2310) (# 13132) : der= 6-(21,10,1050) and res= 6-(21,11,2310) - the given design is the residual.
• design 7-(22,11,1050) (# 13136) with respect to smaller t

# 13131: 6-(21,10,1050)

• clan: 11-(24,12,10), 2 times reduced t, 2 times derived, 1 times residual
• derived from supplementary of 7-(22,11,315) (# 13127)
• derived from 7-(22,11,1050) (# 13136)

# 13132: 6-(21,11,2310)

• clan: 11-(24,12,10), 2 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 7-(22,11,315) (# 13127)
• complementary design of 6-(21,10,1050) (# 13131)
• residual design of 7-(22,11,1050) (# 13136)

# 13133: 5-(20,9,1050)

• clan: 11-(24,12,10), 2 times reduced t, 3 times derived, 1 times residual
• derived from supplementary of 6-(21,10,315) (# 13128)
• derived from 6-(21,10,1050) (# 13131)

# 13134: 5-(20,11,1155)

• clan: 11-(24,12,3), 2 times reduced t, 1 times derived, 3 times residual
• residual design of 6-(21,11,693) (# 13129)
• residual design of supplementary of 6-(21,11,2310) (# 13132)

# 13135: 5-(20,11,3850)

• clan: 11-(24,12,10), 2 times reduced t, 1 times derived, 3 times residual
• residual design of supplementary of 6-(21,11,693) (# 13129)
• residual design of 6-(21,11,2310) (# 13132)

# 13136: 7-(22,11,1050)

• clan: 11-(24,12,10), 2 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(21,10,1050) (# 13131)

# 13137: 7-(22,11,630)

• clan: 11-(24,12,6), 2 times reduced t, 1 times derived, 1 times residual
• $PGL(2,19)++$ 30 solutions
• Alltop construction for design 6-(21,10,630) (# 13138)

# 13138: 6-(21,10,630)

• clan: 11-(24,12,6), 2 times reduced t, 2 times derived, 1 times residual
• derived from 7-(22,11,630) (# 13137)
• derived from supplementary of 7-(22,11,735) (# 13146)

# 13139: 6-(21,11,1386)

• clan: 11-(24,12,6), 2 times reduced t, 1 times derived, 2 times residual
• residual design of 7-(22,11,630) (# 13137)
• complementary design of 6-(21,10,630) (# 13138)
• residual design of supplementary of 7-(22,11,735) (# 13146)

# 13140: 6-(22,11,2352)

• clan: 11-(24,12,7), 3 times reduced t, 1 times derived, 1 times residual
• supplementary design of 7-(22,11,630) (# 13137) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(21,10,735) (# 13141)
• Tran van Trung construction (right) for 6-(21,10,735) (# 13141) : der= 6-(21,10,735) and res= 6-(21,11,1617) - the given design is the derived.
• Tran van Trung construction (left) for 6-(21,11,1617) (# 13142) : der= 6-(21,10,735) and res= 6-(21,11,1617) - the given design is the residual.
• design 7-(22,11,735) (# 13146) with respect to smaller t

# 13141: 6-(21,10,735)

• clan: 11-(24,12,7), 2 times reduced t, 2 times derived, 1 times residual
• derived from supplementary of 7-(22,11,630) (# 13137)
• derived from 7-(22,11,735) (# 13146)

# 13142: 6-(21,11,1617)

• clan: 11-(24,12,7), 2 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 7-(22,11,630) (# 13137)
• complementary design of 6-(21,10,735) (# 13141)
• residual design of 7-(22,11,735) (# 13146)

# 13143: 5-(20,9,735)

• clan: 11-(24,12,7), 2 times reduced t, 3 times derived, 1 times residual
• derived from supplementary of 6-(21,10,630) (# 13138)
• derived from 6-(21,10,735) (# 13141)

# 13144: 5-(20,11,2310)

• clan: 11-(24,12,6), 2 times reduced t, 1 times derived, 3 times residual
• residual design of 6-(21,11,1386) (# 13139)
• residual design of supplementary of 6-(21,11,1617) (# 13142)

# 13145: 5-(20,11,2695)

• clan: 11-(24,12,7), 2 times reduced t, 1 times derived, 3 times residual
• residual design of supplementary of 6-(21,11,1386) (# 13139)
• residual design of 6-(21,11,1617) (# 13142)

# 13146: 7-(22,11,735)

• clan: 11-(24,12,7), 2 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(21,10,735) (# 13141)

# 13147: 7-(24,10,240)

• clan: 15-(32,16,6), 6 times derived, 2 times residual
• PGL(2,23) (>= 76 isom. types) \cite{Bettenetal97b}

# 13148: 6-(24,10,1080)

• clan: 15-(32,16,6), 1 times reduced t, 6 times derived, 2 times residual
• design 7-(24,10,240) (# 13147) with respect to smaller t
• Tran van Trung construction (right) for 6-(23,9,240) (# 13149) : der= 6-(23,9,240) and res= 6-(23,10,840) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,10,840) (# 13150) : der= 6-(23,9,240) and res= 6-(23,10,840) - the given design is the residual.
• derived from 7-(25,11,1080) (# 13215)
• residual design of 7-(25,10,288) (# 13490)

# 13149: 6-(23,9,240)

• clan: 15-(32,16,6), 7 times derived, 2 times residual
• derived from 7-(24,10,240) (# 13147)
• residual design of 7-(24,9,48) (# 13488)

# 13150: 6-(23,10,840)

• clan: 15-(32,16,6), 6 times derived, 3 times residual
• residual design of 7-(24,10,240) (# 13147)
• derived from 7-(24,11,840) (# 13210)

# 13151: 6-(24,10,1980)

• clan: 15-(32,16,11), 1 times reduced t, 6 times derived, 2 times residual
• supplementary design of 7-(24,10,240) (# 13147) with respect to smaller t
• Tran van Trung construction (right) for 6-(23,9,440) (# 13152) : der= 6-(23,9,440) and res= 6-(23,10,1540) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,10,1540) (# 13153) : der= 6-(23,9,440) and res= 6-(23,10,1540) - the given design is the residual.
• derived from supplementary of 7-(25,11,1080) (# 13215)
• residual design of supplementary of 7-(25,10,288) (# 13490)

# 13152: 6-(23,9,440)

• clan: 15-(32,16,11), 7 times derived, 2 times residual
• derived from supplementary of 7-(24,10,240) (# 13147)
• residual design of supplementary of 7-(24,9,48) (# 13488)

# 13153: 6-(23,10,1540)

• clan: 15-(32,16,11), 6 times derived, 3 times residual
• residual design of supplementary of 7-(24,10,240) (# 13147)
• derived from supplementary of 7-(24,11,840) (# 13210)

# 13154: 5-(23,10,3024)

• clan: 15-(32,16,6), 1 times reduced t, 6 times derived, 3 times residual
• residual design of 6-(24,10,1080) (# 13148)
• design 6-(23,10,840) (# 13150) with respect to smaller t
• residual design of supplementary of 6-(24,10,1980) (# 13151)
• supplementary design of 6-(23,10,1540) (# 13153) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,10,2184) (# 13160) : der= 5-(22,9,840) and res= 5-(22,10,2184) - the given design is the residual.
• derived from 6-(24,11,3024) (# 13211)
• derived from supplementary of 6-(24,11,5544) (# 13213)

# 13155: 5-(24,10,7524)

• clan: 15-(32,16,11), 2 times reduced t, 6 times derived, 2 times residual
• supplementary design of 6-(24,10,1080) (# 13148) with respect to smaller t
• design 6-(24,10,1980) (# 13151) with respect to smaller t
• Tran van Trung construction (right) for 5-(23,9,1980) (# 13156) : der= 5-(23,9,1980) and res= 5-(23,10,5544) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,10,5544) (# 13157) : der= 5-(23,9,1980) and res= 5-(23,10,5544) - the given design is the residual.
• derived from supplementary of 6-(25,11,4104) (# 13218)
• derived from 6-(25,11,7524) (# 13222)
• residual design of supplementary of 6-(25,10,1368) (# 13326)
• residual design of 6-(25,10,2508) (# 13328)

# 13156: 5-(23,9,1980)

• clan: 15-(32,16,11), 1 times reduced t, 7 times derived, 2 times residual
• derived from supplementary of 6-(24,10,1080) (# 13148)
• supplementary design of 6-(23,9,240) (# 13149) with respect to smaller t
• derived from 6-(24,10,1980) (# 13151)
• design 6-(23,9,440) (# 13152) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,8,440) (# 13158) : der= 5-(22,8,440) and res= 5-(22,9,1540) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,9,1540) (# 13159) : der= 5-(22,8,440) and res= 5-(22,9,1540) - the given design is the residual.
• residual design of supplementary of 6-(24,9,288) (# 13323)
• residual design of 6-(24,9,528) (# 13324)

# 13157: 5-(23,10,5544)

• clan: 15-(32,16,11), 1 times reduced t, 6 times derived, 3 times residual
• residual design of supplementary of 6-(24,10,1080) (# 13148)
• supplementary design of 6-(23,10,840) (# 13150) with respect to smaller t
• residual design of 6-(24,10,1980) (# 13151)
• design 6-(23,10,1540) (# 13153) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,9,1540) (# 13159) : der= 5-(22,9,1540) and res= 5-(22,10,4004) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,10,4004) (# 13161) : der= 5-(22,9,1540) and res= 5-(22,10,4004) - the given design is the residual.
• derived from supplementary of 6-(24,11,3024) (# 13211)
• derived from 6-(24,11,5544) (# 13213)

# 13158: 5-(22,8,440)

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

# 13159: 5-(22,9,1540)

• clan: 15-(32,16,11), 7 times derived, 3 times residual
• residual design of supplementary of 6-(23,9,240) (# 13149)
• derived from supplementary of 6-(23,10,840) (# 13150)
• residual design of 6-(23,9,440) (# 13152)
• derived from 6-(23,10,1540) (# 13153)

# 13160: 5-(22,10,2184)

• clan: 15-(32,16,6), 6 times derived, 4 times residual
• residual design of 6-(23,10,840) (# 13150)
• residual design of supplementary of 6-(23,10,1540) (# 13153)
• derived from 6-(23,11,2184) (# 13212)
• derived from supplementary of 6-(23,11,4004) (# 13214)

# 13161: 5-(22,10,4004)

• clan: 15-(32,16,11), 6 times derived, 4 times residual
• residual design of supplementary of 6-(23,10,840) (# 13150)
• residual design of 6-(23,10,1540) (# 13153)
• derived from supplementary of 6-(23,11,2184) (# 13212)
• derived from 6-(23,11,4004) (# 13214)

# 13162: 5-(24,9,2508)

• clan: 15-(32,16,11), 2 times reduced t, 7 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(23,9,1980) (# 13156) : der= 5-(23,8,528) and res= 5-(23,9,1980) - the given design is the residual.
• supplementary design of 6-(24,9,288) (# 13323) with respect to smaller t
• design 6-(24,9,528) (# 13324) with respect to smaller t
• residual design of supplementary of 6-(25,9,342) (# 13325)
• derived from supplementary of 6-(25,10,1368) (# 13326)
• residual design of 6-(25,9,627) (# 13327)
• derived from 6-(25,10,2508) (# 13328)

# 13163: 5-(23,11,6552)

• clan: 15-(32,16,6), 1 times reduced t, 5 times derived, 4 times residual
• Tran van Trung construction (right) for 5-(22,10,2184) (# 13160) : der= 5-(22,10,2184) and res= 5-(22,11,4368) - the given design is the derived.
• residual design of 6-(24,11,3024) (# 13211)
• design 6-(23,11,2184) (# 13212) with respect to smaller t
• residual design of supplementary of 6-(24,11,5544) (# 13213)
• supplementary design of 6-(23,11,4004) (# 13214) with respect to smaller t
• derived from 6-(24,12,6552) (# 13219)
• derived from supplementary of 6-(24,12,12012) (# 13223)

# 13164: 5-(25,9,3135)

• clan: 15-(32,16,11), 3 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,2508) (# 13162) : der= 5-(24,8,627) and res= 5-(24,9,2508) - the given design is the residual.
• supplementary design of 6-(25,9,342) (# 13325) with respect to smaller t
• design 6-(25,9,627) (# 13327) with respect to smaller t
• derived from supplementary of 6-(26,10,1710) (# 13329)
• derived from 6-(26,10,3135) (# 13331)

# 13165: 5-(25,10,10032)

• clan: 15-(32,16,11), 3 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,2508) (# 13162) : der= 5-(24,9,2508) and res= 5-(24,10,7524) - the given design is the derived.
• supplementary design of 6-(25,10,1368) (# 13326) with respect to smaller t
• design 6-(25,10,2508) (# 13328) with respect to smaller t
• residual design of supplementary of 6-(26,10,1710) (# 13329)
• derived from supplementary of 6-(26,11,5472) (# 13330)
• residual design of 6-(26,10,3135) (# 13331)
• derived from 6-(26,11,10032) (# 13332)

# 13166: 7-(24,10,320)

• clan: 15-(32,16,8), 6 times derived, 2 times residual
• PGL(2,23) (>= 2 isom. types) \cite{Bettenetal97b}

# 13167: 6-(24,10,1440)

• clan: 15-(32,16,8), 1 times reduced t, 6 times derived, 2 times residual
• design 7-(24,10,320) (# 13166) with respect to smaller t
• Tran van Trung construction (right) for 6-(23,9,320) (# 13168) : der= 6-(23,9,320) and res= 6-(23,10,1120) - the given design is the derived.
• residual design of 7-(25,10,384) (# 13503)

# 13168: 6-(23,9,320)

• clan: 15-(32,16,8), 7 times derived, 2 times residual
• derived from 7-(24,10,320) (# 13166)
• residual design of 7-(24,9,64) (# 13501)

# 13169: 6-(24,10,1620)

• clan: 15-(32,16,9), 1 times reduced t, 6 times derived, 2 times residual
• supplementary design of 7-(24,10,320) (# 13166) with respect to smaller t
• Tran van Trung construction (right) for 6-(23,9,360) (# 13170) : der= 6-(23,9,360) and res= 6-(23,10,1260) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,10,1260) (# 13171) : der= 6-(23,9,360) and res= 6-(23,10,1260) - the given design is the residual.
• residual design of supplementary of 7-(25,10,384) (# 13503)

# 13170: 6-(23,9,360)

• clan: 15-(32,16,9), 7 times derived, 2 times residual
• derived from supplementary of 7-(24,10,320) (# 13166)
• residual design of supplementary of 7-(24,9,64) (# 13501)

# 13171: 6-(23,10,1260)

• clan: 15-(32,16,9), 6 times derived, 3 times residual
• residual design of supplementary of 7-(24,10,320) (# 13166)

# 13172: 5-(24,10,6156)

• clan: 15-(32,16,9), 2 times reduced t, 6 times derived, 2 times residual
• supplementary design of 6-(24,10,1440) (# 13167) with respect to smaller t
• design 6-(24,10,1620) (# 13169) with respect to smaller t
• Tran van Trung construction (right) for 5-(23,9,1620) (# 13173) : der= 5-(23,9,1620) and res= 5-(23,10,4536) - the given design is the derived.
• derived from supplementary of 6-(25,11,5472) (# 13174)
• derived from 6-(25,11,6156) (# 13180)
• residual design of supplementary of 6-(25,10,1824) (# 13392)
• residual design of 6-(25,10,2052) (# 13394)

# 13173: 5-(23,9,1620)

• clan: 15-(32,16,9), 1 times reduced t, 7 times derived, 2 times residual
• derived from supplementary of 6-(24,10,1440) (# 13167)
• supplementary design of 6-(23,9,320) (# 13168) with respect to smaller t
• derived from 6-(24,10,1620) (# 13169)
• design 6-(23,9,360) (# 13170) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,8,360) (# 13175) : der= 5-(22,8,360) and res= 5-(22,9,1260) - the given design is the derived.
• residual design of supplementary of 6-(24,9,384) (# 13389)
• residual design of 6-(24,9,432) (# 13390)

# 13174: 6-(25,11,5472)

• clan: 15-(32,16,8), 2 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (right) for 6-(24,10,1440) (# 13167) : der= 6-(24,10,1440) and res= 6-(24,11,4032) - the given design is the derived.

# 13175: 5-(22,8,360)

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

# 13176: 6-(24,11,4536)

• clan: 15-(32,16,9), 1 times reduced t, 5 times derived, 3 times residual
• Tran van Trung construction (right) for 6-(23,10,1260) (# 13171) : der= 6-(23,10,1260) and res= 6-(23,11,3276) - the given design is the derived.

# 13177: 5-(25,11,20520)

• clan: 15-(32,16,9), 3 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(24,10,6156) (# 13172) : der= 5-(24,10,6156) and res= 5-(24,11,14364) - the given design is the derived.
• supplementary design of 6-(25,11,5472) (# 13174) with respect to smaller t
• derived from supplementary of 6-(26,12,18240) (# 13179)
• design 6-(25,11,6156) (# 13180) with respect to smaller t
• derived from 6-(26,12,20520) (# 13185)
• residual design of supplementary of 6-(26,11,7296) (# 13396)
• residual design of 6-(26,11,8208) (# 13398)

# 13178: 5-(24,9,2052)

• clan: 15-(32,16,9), 2 times reduced t, 7 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(23,9,1620) (# 13173) : der= 5-(23,8,432) and res= 5-(23,9,1620) - the given design is the residual.
• supplementary design of 6-(24,9,384) (# 13389) with respect to smaller t
• design 6-(24,9,432) (# 13390) with respect to smaller t
• residual design of supplementary of 6-(25,9,456) (# 13391)
• derived from supplementary of 6-(25,10,1824) (# 13392)
• residual design of 6-(25,9,513) (# 13393)
• derived from 6-(25,10,2052) (# 13394)

# 13179: 6-(26,12,18240)

• clan: 15-(32,16,8), 3 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (right) for 6-(25,11,5472) (# 13174) : der= 6-(25,11,5472) and res= 6-(25,12,12768) - the given design is the derived.

# 13180: 6-(25,11,6156)

• clan: 15-(32,16,9), 2 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(24,11,4536) (# 13176) : der= 6-(24,10,1620) and res= 6-(24,11,4536) - the given design is the residual.

# 13181: 5-(26,12,61560)

• clan: 15-(32,16,9), 4 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(25,11,20520) (# 13177) : der= 5-(25,11,20520) and res= 5-(25,12,41040) - the given design is the derived.
• supplementary design of 6-(26,12,18240) (# 13179) with respect to smaller t
• derived from supplementary of 6-(27,13,54720) (# 13184)
• design 6-(26,12,20520) (# 13185) with respect to smaller t
• derived from 6-(27,13,61560) (# 13190)
• residual design of supplementary of 6-(27,12,25536) (# 13399)
• residual design of 6-(27,12,28728) (# 13401)

# 13182: 5-(25,9,2565)

• clan: 15-(32,16,9), 3 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,2052) (# 13178) : der= 5-(24,8,513) and res= 5-(24,9,2052) - the given design is the residual.
• supplementary design of 6-(25,9,456) (# 13391) with respect to smaller t
• design 6-(25,9,513) (# 13393) with respect to smaller t
• derived from supplementary of 6-(26,10,2280) (# 13395)
• derived from 6-(26,10,2565) (# 13397)

# 13183: 5-(25,10,8208)

• clan: 15-(32,16,9), 3 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,2052) (# 13178) : der= 5-(24,9,2052) and res= 5-(24,10,6156) - the given design is the derived.
• supplementary design of 6-(25,10,1824) (# 13392) with respect to smaller t
• design 6-(25,10,2052) (# 13394) with respect to smaller t
• residual design of supplementary of 6-(26,10,2280) (# 13395)
• derived from supplementary of 6-(26,11,7296) (# 13396)
• residual design of 6-(26,10,2565) (# 13397)
• derived from 6-(26,11,8208) (# 13398)

# 13184: 6-(27,13,54720)

• clan: 15-(32,16,8), 4 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 6-(26,12,18240) (# 13179) : der= 6-(26,12,18240) and res= 6-(26,13,36480) - the given design is the derived.
• derived from 7-(28,14,54720) (# 13189)
• derived from supplementary of 7-(28,14,61560) (# 13199)

# 13185: 6-(26,12,20520)

• clan: 15-(32,16,9), 3 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (right) for 6-(25,11,6156) (# 13180) : der= 6-(25,11,6156) and res= 6-(25,12,14364) - the given design is the derived.

# 13186: 5-(27,12,90288)

• clan: 15-(32,16,9), 5 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,12,61560) (# 13181) : der= 5-(26,11,28728) and res= 5-(26,12,61560) - the given design is the residual.
• supplementary design of 6-(27,12,25536) (# 13399) with respect to smaller t
• design 6-(27,12,28728) (# 13401) with respect to smaller t
• residual design of supplementary of 6-(28,12,35112) (# 13402)
• derived from supplementary of 6-(28,13,80256) (# 13403)
• residual design of 6-(28,12,39501) (# 13404)
• derived from 6-(28,13,90288) (# 13405)

# 13187: 5-(27,13,169290)

• clan: 15-(32,16,9), 5 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(26,12,61560) (# 13181) : der= 5-(26,12,61560) and res= 5-(26,13,107730) - the given design is the derived.
• supplementary design of 6-(27,13,54720) (# 13184) with respect to smaller t
• derived from supplementary of 6-(28,14,150480) (# 13188)
• design 6-(27,13,61560) (# 13190) with respect to smaller t
• derived from 6-(28,14,169290) (# 13197)
• residual design of supplementary of 6-(28,13,80256) (# 13403)
• residual design of 6-(28,13,90288) (# 13405)

# 13188: 6-(28,14,150480)

• clan: 15-(32,16,8), 5 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,54720) (# 13184)
• design 7-(28,14,54720) (# 13189) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,95760) (# 13196) : der= 6-(27,13,54720) and res= 6-(27,14,95760) - the given design is the residual.
• supplementary design of 7-(28,14,61560) (# 13199) with respect to smaller t

# 13189: 7-(28,14,54720)

• clan: 15-(32,16,8), 4 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,54720) (# 13184)

# 13190: 6-(27,13,61560)

• clan: 15-(32,16,9), 4 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 6-(26,12,20520) (# 13185) : der= 6-(26,12,20520) and res= 6-(26,13,41040) - the given design is the derived.
• derived from supplementary of 7-(28,14,54720) (# 13189)
• derived from 7-(28,14,61560) (# 13199)

# 13191: 5-(28,12,129789)

• clan: 15-(32,16,9), 6 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,90288) (# 13186) : der= 5-(27,11,39501) and res= 5-(27,12,90288) - the given design is the residual.
• supplementary design of 6-(28,12,35112) (# 13402) with respect to smaller t
• design 6-(28,12,39501) (# 13404) with respect to smaller t
• derived from supplementary of 6-(29,13,115368) (# 13406)
• derived from 6-(29,13,129789) (# 13408)

# 13192: 5-(28,13,259578)

• clan: 15-(32,16,9), 6 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,90288) (# 13186) : der= 5-(27,12,90288) and res= 5-(27,13,169290) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,169290) (# 13187) : der= 5-(27,12,90288) and res= 5-(27,13,169290) - the given design is the residual.
• supplementary design of 6-(28,13,80256) (# 13403) with respect to smaller t
• design 6-(28,13,90288) (# 13405) with respect to smaller t
• residual design of supplementary of 6-(29,13,115368) (# 13406)
• derived from supplementary of 6-(29,14,230736) (# 13407)
• residual design of 6-(29,13,129789) (# 13408)
• derived from 6-(29,14,259578) (# 13409)

# 13193: 5-(28,14,432630)

• clan: 15-(32,16,9), 6 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,169290) (# 13187)
• supplementary design of 6-(28,14,150480) (# 13188) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,263340) (# 13195) : der= 5-(27,13,169290) and res= 5-(27,14,263340) - the given design is the residual.
• design 6-(28,14,169290) (# 13197) with respect to smaller t
• residual design of supplementary of 6-(29,14,230736) (# 13407)
• residual design of 6-(29,14,259578) (# 13409)
• derived from supplementary of 6-(29,15,384560) (# 13419)
• derived from 6-(29,15,432630) (# 13420)

# 13194: 5-(27,14,234080)

• clan: 15-(32,16,8), 5 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(28,14,150480) (# 13188)
• design 6-(27,14,95760) (# 13196) with respect to smaller t
• residual design of supplementary of 6-(28,14,169290) (# 13197)
• supplementary design of 6-(27,14,107730) (# 13198) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,138320) (# 13202) : der= 5-(26,13,95760) and res= 5-(26,14,138320) - the given design is the residual.

# 13195: 5-(27,14,263340)

• clan: 15-(32,16,9), 5 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(28,14,150480) (# 13188)
• supplementary design of 6-(27,14,95760) (# 13196) with respect to smaller t
• residual design of 6-(28,14,169290) (# 13197)
• design 6-(27,14,107730) (# 13198) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,155610) (# 13203) : der= 5-(26,13,107730) and res= 5-(26,14,155610) - the given design is the residual.

# 13196: 6-(27,14,95760)

• clan: 15-(32,16,8), 4 times reduced t, 2 times derived, 3 times residual
• residual design of 7-(28,14,54720) (# 13189)
• residual design of supplementary of 7-(28,14,61560) (# 13199)

# 13197: 6-(28,14,169290)

• clan: 15-(32,16,9), 5 times reduced t, 2 times derived, 2 times residual
• supplementary design of 7-(28,14,54720) (# 13189) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(27,13,61560) (# 13190)
• Tran van Trung construction (right) for 6-(27,13,61560) (# 13190) : der= 6-(27,13,61560) and res= 6-(27,14,107730) - the given design is the derived.
• Tran van Trung construction (left) for 6-(27,14,107730) (# 13198) : der= 6-(27,13,61560) and res= 6-(27,14,107730) - the given design is the residual.
• design 7-(28,14,61560) (# 13199) with respect to smaller t

# 13198: 6-(27,14,107730)

• clan: 15-(32,16,9), 4 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 7-(28,14,54720) (# 13189)
• residual design of 7-(28,14,61560) (# 13199)

# 13199: 7-(28,14,61560)

• clan: 15-(32,16,9), 4 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,61560) (# 13190)

created: Fri Oct 23 11:13:26 CEST 2009