t designs with small t, id ge 13200

• clan: 15-(32,16,9), 7 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,129789) (# 13191) : der= 5-(28,12,129789) and res= 5-(28,13,259578) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,259578) (# 13192) : der= 5-(28,12,129789) and res= 5-(28,13,259578) - the given design is the residual.
• supplementary design of 6-(29,13,115368) (# 13406) with respect to smaller t
• design 6-(29,13,129789) (# 13408) with respect to smaller t
• derived from supplementary of 6-(30,14,346104) (# 13410)
• derived from 6-(30,14,389367) (# 13413)

# 13201: 5-(29,14,692208)

• clan: 15-(32,16,9), 7 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,259578) (# 13192) : der= 5-(28,13,259578) and res= 5-(28,14,432630) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,14,432630) (# 13193) : der= 5-(28,13,259578) and res= 5-(28,14,432630) - the given design is the residual.
• supplementary design of 6-(29,14,230736) (# 13407) with respect to smaller t
• design 6-(29,14,259578) (# 13409) with respect to smaller t
• residual design of supplementary of 6-(30,14,346104) (# 13410)
• derived from supplementary of 6-(30,15,615296) (# 13411)
• residual design of 6-(30,14,389367) (# 13413)
• derived from 6-(30,15,692208) (# 13414)

# 13202: 5-(26,14,138320)

• clan: 15-(32,16,8), 4 times reduced t, 2 times derived, 4 times residual
• residual design of 6-(27,14,95760) (# 13196)
• residual design of supplementary of 6-(27,14,107730) (# 13198)

# 13203: 5-(26,14,155610)

• clan: 15-(32,16,9), 4 times reduced t, 2 times derived, 4 times residual
• residual design of supplementary of 6-(27,14,95760) (# 13196)
• residual design of 6-(27,14,107730) (# 13198)

# 13204: 5-(30,14,1081575)

• clan: 15-(32,16,9), 8 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,389367) (# 13200) : der= 5-(29,13,389367) and res= 5-(29,14,692208) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,692208) (# 13201) : der= 5-(29,13,389367) and res= 5-(29,14,692208) - the given design is the residual.
• supplementary design of 6-(30,14,346104) (# 13410) with respect to smaller t
• design 6-(30,14,389367) (# 13413) with respect to smaller t
• derived from supplementary of 6-(31,15,961400) (# 13416)
• derived from 6-(31,15,1081575) (# 13421)

# 13205: 5-(30,15,1730520)

• clan: 15-(32,16,9), 8 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,692208) (# 13201)
• supplementary design of 6-(30,15,615296) (# 13411) with respect to smaller t
• design 6-(30,15,692208) (# 13414) with respect to smaller t
• residual design of supplementary of 6-(31,15,961400) (# 13416)
• Tran van Trung construction (left) for 5-(29,15,1038312) (# 13418) : der= 5-(29,14,692208) and res= 5-(29,15,1038312) - the given design is the residual.
• residual design of 6-(31,15,1081575) (# 13421)
• derived from supplementary of 6-(31,16,1538240) (# 13430)
• derived from 6-(31,16,1730520) (# 13431)

# 13206: 5-(31,15,2812095)

• clan: 15-(32,16,9), 9 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,1081575) (# 13204) : der= 5-(30,14,1081575) and res= 5-(30,15,1730520) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,1730520) (# 13205) : der= 5-(30,14,1081575) and res= 5-(30,15,1730520) - the given design is the residual.
• supplementary design of 6-(31,15,961400) (# 13416) with respect to smaller t
• design 6-(31,15,1081575) (# 13421) with respect to smaller t
• derived from supplementary of 6-(32,16,2499640) (# 13422)
• derived from 6-(32,16,2812095) (# 13426)

# 13207: 5-(32,16,6902415)

• clan: 15-(32,16,9), 10 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,2812095) (# 13206)
• supplementary design of 6-(32,16,2499640) (# 13422) with respect to smaller t
• design 6-(32,16,2812095) (# 13426) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,4090320) (# 13429) : der= 5-(31,15,2812095) and res= 5-(31,16,4090320) - the given design is the residual.

# 13208: 7-(24,10,340)

• clan: 14-(30,15,8), 1 times reduced t, 5 times derived, 1 times residual
• PSL(2,23) (>= 1 isom. types) halving \cite{Laue98}

# 13209: 6-(23,10,1190)

• clan: 14-(30,15,8), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 7-(24,10,340) (# 13208)
• residual design of supplementary of 7-(24,10,340) (# 13208)

# 13210: 7-(24,11,840)

• clan: 15-(32,16,6), 5 times derived, 3 times residual
• PGL(2,23) (>= 100 isom. types)

# 13211: 6-(24,11,3024)

• clan: 15-(32,16,6), 1 times reduced t, 5 times derived, 3 times residual
• design 7-(24,11,840) (# 13210) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,11,2184) (# 13212) : der= 6-(23,10,840) and res= 6-(23,11,2184) - the given design is the residual.
• residual design of 7-(25,11,1080) (# 13215)
• derived from 7-(25,12,3024) (# 13232)

# 13212: 6-(23,11,2184)

• clan: 15-(32,16,6), 5 times derived, 4 times residual
• residual design of 7-(24,11,840) (# 13210)
• derived from 7-(24,12,2184) (# 13220)
• derived from supplementary of 7-(24,12,4004) (# 13224)

# 13213: 6-(24,11,5544)

• clan: 15-(32,16,11), 1 times reduced t, 5 times derived, 3 times residual
• supplementary design of 7-(24,11,840) (# 13210) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,11,4004) (# 13214) : der= 6-(23,10,1540) and res= 6-(23,11,4004) - the given design is the residual.
• residual design of supplementary of 7-(25,11,1080) (# 13215)
• derived from supplementary of 7-(25,12,3024) (# 13232)

# 13214: 6-(23,11,4004)

• clan: 15-(32,16,11), 5 times derived, 4 times residual
• residual design of supplementary of 7-(24,11,840) (# 13210)
• derived from supplementary of 7-(24,12,2184) (# 13220)
• derived from 7-(24,12,4004) (# 13224)

# 13215: 7-(25,11,1080)

• clan: 15-(32,16,6), 1 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 7-(24,11,840) (# 13210) : der= 7-(24,10,240) and res= 7-(24,11,840) - the given design is the residual.

# 13216: 5-(24,11,17556)

• clan: 15-(32,16,11), 2 times reduced t, 5 times derived, 3 times residual
• supplementary design of 6-(24,11,3024) (# 13211) with respect to smaller t
• design 6-(24,11,5544) (# 13213) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,11,12012) (# 13217) : der= 5-(23,10,5544) and res= 5-(23,11,12012) - the given design is the residual.
• residual design of supplementary of 6-(25,11,4104) (# 13218)
• residual design of 6-(25,11,7524) (# 13222)
• derived from supplementary of 6-(25,12,9576) (# 13229)
• derived from 6-(25,12,17556) (# 13233)

# 13217: 5-(23,11,12012)

• clan: 15-(32,16,11), 1 times reduced t, 5 times derived, 4 times residual
• residual design of supplementary of 6-(24,11,3024) (# 13211)
• supplementary design of 6-(23,11,2184) (# 13212) with respect to smaller t
• residual design of 6-(24,11,5544) (# 13213)
• design 6-(23,11,4004) (# 13214) with respect to smaller t
• derived from supplementary of 6-(24,12,6552) (# 13219)
• Tran van Trung construction (left) for 5-(22,11,8008) (# 13221) : der= 5-(22,10,4004) and res= 5-(22,11,8008) - the given design is the residual.
• derived from 6-(24,12,12012) (# 13223)

# 13218: 6-(25,11,4104)

• clan: 15-(32,16,6), 2 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(24,11,3024) (# 13211) : der= 6-(24,10,1080) and res= 6-(24,11,3024) - the given design is the residual.
• design 7-(25,11,1080) (# 13215) with respect to smaller t
• derived from 7-(26,12,4104) (# 13240)
• residual design of 7-(26,11,1368) (# 13492)

# 13219: 6-(24,12,6552)

• clan: 15-(32,16,6), 1 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 6-(23,11,2184) (# 13212)
• design 7-(24,12,2184) (# 13220) with respect to smaller t
• supplementary design of 7-(24,12,4004) (# 13224) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,4368) (# 13230) : der= 6-(23,11,2184) and res= 6-(23,12,4368) - the given design is the residual.
• residual design of 7-(25,12,3024) (# 13232)

# 13220: 7-(24,12,2184)

• clan: 15-(32,16,6), 4 times derived, 4 times residual
• Alltop construction for design 6-(23,11,2184) (# 13212)
• PGL(2,23) (>= 20000 isom. types)

# 13221: 5-(22,11,8008)

• clan: 15-(32,16,11), 5 times derived, 5 times residual
• residual design of supplementary of 6-(23,11,2184) (# 13212)
• residual design of 6-(23,11,4004) (# 13214)
• derived from supplementary of 6-(23,12,4368) (# 13230)
• derived from 6-(23,12,8008) (# 13231)

# 13222: 6-(25,11,7524)

• clan: 15-(32,16,11), 2 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(24,11,5544) (# 13213) : der= 6-(24,10,1980) and res= 6-(24,11,5544) - the given design is the residual.
• supplementary design of 7-(25,11,1080) (# 13215) with respect to smaller t
• derived from supplementary of 7-(26,12,4104) (# 13240)
• residual design of supplementary of 7-(26,11,1368) (# 13492)

# 13223: 6-(24,12,12012)

• clan: 15-(32,16,11), 1 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 6-(23,11,4004) (# 13214)
• supplementary design of 7-(24,12,2184) (# 13220) with respect to smaller t
• design 7-(24,12,4004) (# 13224) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,8008) (# 13231) : der= 6-(23,11,4004) and res= 6-(23,12,8008) - the given design is the residual.
• residual design of supplementary of 7-(25,12,3024) (# 13232)

# 13224: 7-(24,12,4004)

• clan: 15-(32,16,11), 4 times derived, 4 times residual
• Alltop construction for design 6-(23,11,4004) (# 13214)

# 13225: 5-(25,11,25080)

• clan: 15-(32,16,11), 3 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,11,17556) (# 13216) : der= 5-(24,10,7524) and res= 5-(24,11,17556) - the given design is the residual.
• supplementary design of 6-(25,11,4104) (# 13218) with respect to smaller t
• design 6-(25,11,7524) (# 13222) with respect to smaller t
• derived from supplementary of 6-(26,12,13680) (# 13237)
• derived from 6-(26,12,25080) (# 13243)
• residual design of supplementary of 6-(26,11,5472) (# 13330)
• residual design of 6-(26,11,10032) (# 13332)

# 13226: 5-(24,12,32604)

• clan: 15-(32,16,11), 2 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 5-(23,11,12012) (# 13217)
• supplementary design of 6-(24,12,6552) (# 13219) with respect to smaller t
• design 6-(24,12,12012) (# 13223) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,20592) (# 13228) : der= 5-(23,11,12012) and res= 5-(23,12,20592) - the given design is the residual.
• residual design of supplementary of 6-(25,12,9576) (# 13229)
• residual design of 6-(25,12,17556) (# 13233)
• derived from supplementary of 6-(25,13,17784) (# 13249)
• derived from 6-(25,13,32604) (# 13250)

# 13227: 5-(23,12,11232)

• clan: 15-(32,16,6), 1 times reduced t, 4 times derived, 5 times residual
• residual design of 6-(24,12,6552) (# 13219)
• residual design of supplementary of 6-(24,12,12012) (# 13223)
• design 6-(23,12,4368) (# 13230) with respect to smaller t
• supplementary design of 6-(23,12,8008) (# 13231) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,6864) (# 13238) : der= 5-(22,11,4368) and res= 5-(22,12,6864) - the given design is the residual.

# 13228: 5-(23,12,20592)

• clan: 15-(32,16,11), 1 times reduced t, 4 times derived, 5 times residual
• residual design of supplementary of 6-(24,12,6552) (# 13219)
• residual design of 6-(24,12,12012) (# 13223)
• supplementary design of 6-(23,12,4368) (# 13230) with respect to smaller t
• design 6-(23,12,8008) (# 13231) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,12584) (# 13239) : der= 5-(22,11,8008) and res= 5-(22,12,12584) - the given design is the residual.

# 13229: 6-(25,12,9576)

• clan: 15-(32,16,6), 2 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 6-(24,12,6552) (# 13219) : der= 6-(24,11,3024) and res= 6-(24,12,6552) - the given design is the residual.
• design 7-(25,12,3024) (# 13232) with respect to smaller t
• derived from 7-(26,13,9576) (# 13236)
• residual design of 7-(26,12,4104) (# 13240)
• derived from supplementary of 7-(26,13,17556) (# 13242)

# 13230: 6-(23,12,4368)

• clan: 15-(32,16,6), 4 times derived, 5 times residual
• residual design of 7-(24,12,2184) (# 13220)
• residual design of supplementary of 7-(24,12,4004) (# 13224)

# 13231: 6-(23,12,8008)

• clan: 15-(32,16,11), 4 times derived, 5 times residual
• residual design of supplementary of 7-(24,12,2184) (# 13220)
• residual design of 7-(24,12,4004) (# 13224)

# 13232: 7-(25,12,3024)

• clan: 15-(32,16,6), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 7-(24,12,2184) (# 13220) : der= 7-(24,11,840) and res= 7-(24,12,2184) - the given design is the residual.

# 13233: 6-(25,12,17556)

• clan: 15-(32,16,11), 2 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 6-(24,12,12012) (# 13223) : der= 6-(24,11,5544) and res= 6-(24,12,12012) - the given design is the residual.
• supplementary design of 7-(25,12,3024) (# 13232) with respect to smaller t
• derived from supplementary of 7-(26,13,9576) (# 13236)
• residual design of supplementary of 7-(26,12,4104) (# 13240)
• derived from 7-(26,13,17556) (# 13242)

# 13234: 5-(25,12,50160)

• clan: 15-(32,16,11), 3 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 5-(24,12,32604) (# 13226) : der= 5-(24,11,17556) and res= 5-(24,12,32604) - the given design is the residual.
• supplementary design of 6-(25,12,9576) (# 13229) with respect to smaller t
• design 6-(25,12,17556) (# 13233) with respect to smaller t
• derived from supplementary of 6-(26,13,27360) (# 13235)
• residual design of supplementary of 6-(26,12,13680) (# 13237)
• derived from 6-(26,13,50160) (# 13241)
• residual design of 6-(26,12,25080) (# 13243)

# 13235: 6-(26,13,27360)

• clan: 15-(32,16,6), 3 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 6-(25,12,9576) (# 13229)
• design 7-(26,13,9576) (# 13236) with respect to smaller t
• supplementary design of 7-(26,13,17556) (# 13242) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,13,17784) (# 13249) : der= 6-(25,12,9576) and res= 6-(25,13,17784) - the given design is the residual.
• residual design of 7-(27,13,13680) (# 13251)

# 13236: 7-(26,13,9576)

• clan: 15-(32,16,6), 2 times reduced t, 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,9576) (# 13229)
• Tran van Trung construction with complementary design for 7-(25,12,3024) (# 13232)

# 13237: 6-(26,12,13680)

• clan: 15-(32,16,6), 3 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(25,12,9576) (# 13229) : der= 6-(25,11,4104) and res= 6-(25,12,9576) - the given design is the residual.
• design 7-(26,12,4104) (# 13240) with respect to smaller t
• derived from 7-(27,13,13680) (# 13251)
• residual design of 7-(27,12,5472) (# 13494)

# 13238: 5-(22,12,6864)

• clan: 15-(32,16,6), 4 times derived, 6 times residual
• residual design of 6-(23,12,4368) (# 13230)
• residual design of supplementary of 6-(23,12,8008) (# 13231)

# 13239: 5-(22,12,12584)

• clan: 15-(32,16,11), 4 times derived, 6 times residual
• residual design of supplementary of 6-(23,12,4368) (# 13230)
• residual design of 6-(23,12,8008) (# 13231)

# 13240: 7-(26,12,4104)

• clan: 15-(32,16,6), 2 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 7-(25,12,3024) (# 13232) : der= 7-(25,11,1080) and res= 7-(25,12,3024) - the given design is the residual.

# 13241: 6-(26,13,50160)

• clan: 15-(32,16,11), 3 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 6-(25,12,17556) (# 13233)
• supplementary design of 7-(26,13,9576) (# 13236) with respect to smaller t
• design 7-(26,13,17556) (# 13242) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,13,32604) (# 13250) : der= 6-(25,12,17556) and res= 6-(25,13,32604) - the given design is the residual.
• residual design of supplementary of 7-(27,13,13680) (# 13251)

# 13242: 7-(26,13,17556)

• clan: 15-(32,16,11), 2 times reduced t, 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,17556) (# 13233)

# 13243: 6-(26,12,25080)

• clan: 15-(32,16,11), 3 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(25,12,17556) (# 13233) : der= 6-(25,11,7524) and res= 6-(25,12,17556) - the given design is the residual.
• supplementary design of 7-(26,12,4104) (# 13240) with respect to smaller t
• derived from supplementary of 7-(27,13,13680) (# 13251)
• residual design of supplementary of 7-(27,12,5472) (# 13494)

# 13244: 5-(26,13,131670)

• clan: 15-(32,16,11), 4 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,50160) (# 13234)
• supplementary design of 6-(26,13,27360) (# 13235) with respect to smaller t
• design 6-(26,13,50160) (# 13241) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,81510) (# 13247) : der= 5-(25,12,50160) and res= 5-(25,13,81510) - the given design is the residual.
• residual design of supplementary of 6-(27,13,41040) (# 13248)
• residual design of 6-(27,13,75240) (# 13252)
• derived from supplementary of 6-(27,14,71820) (# 13266)
• derived from 6-(27,14,131670) (# 13267)

# 13245: 5-(26,12,75240)

• clan: 15-(32,16,11), 4 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(25,12,50160) (# 13234) : der= 5-(25,11,25080) and res= 5-(25,12,50160) - the given design is the residual.
• supplementary design of 6-(26,12,13680) (# 13237) with respect to smaller t
• design 6-(26,12,25080) (# 13243) with respect to smaller t
• derived from supplementary of 6-(27,13,41040) (# 13248)
• derived from 6-(27,13,75240) (# 13252)
• residual design of supplementary of 6-(27,12,19152) (# 13333)
• residual design of 6-(27,12,35112) (# 13335)

# 13246: 5-(25,13,44460)

• clan: 15-(32,16,6), 3 times reduced t, 3 times derived, 4 times residual
• residual design of 6-(26,13,27360) (# 13235)
• residual design of supplementary of 6-(26,13,50160) (# 13241)
• design 6-(25,13,17784) (# 13249) with respect to smaller t
• supplementary design of 6-(25,13,32604) (# 13250) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,26676) (# 13257) : der= 5-(24,12,17784) and res= 5-(24,13,26676) - the given design is the residual.

# 13247: 5-(25,13,81510)

• clan: 15-(32,16,11), 3 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 6-(26,13,27360) (# 13235)
• residual design of 6-(26,13,50160) (# 13241)
• supplementary design of 6-(25,13,17784) (# 13249) with respect to smaller t
• design 6-(25,13,32604) (# 13250) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,48906) (# 13258) : der= 5-(24,12,32604) and res= 5-(24,13,48906) - the given design is the residual.

# 13248: 6-(27,13,41040)

• clan: 15-(32,16,6), 4 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(26,13,27360) (# 13235) : der= 6-(26,12,13680) and res= 6-(26,13,27360) - the given design is the residual.
• Tran van Trung construction (right) for 6-(26,12,13680) (# 13237) : der= 6-(26,12,13680) and res= 6-(26,13,27360) - the given design is the derived.
• design 7-(27,13,13680) (# 13251) with respect to smaller t
• derived from 7-(28,14,41040) (# 13256)
• derived from supplementary of 7-(28,14,75240) (# 13260)
• residual design of 7-(28,13,19152) (# 13496)

# 13249: 6-(25,13,17784)

• clan: 15-(32,16,6), 2 times reduced t, 3 times derived, 4 times residual
• residual design of 7-(26,13,9576) (# 13236)
• residual design of supplementary of 7-(26,13,17556) (# 13242)

# 13250: 6-(25,13,32604)

• clan: 15-(32,16,11), 2 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 7-(26,13,9576) (# 13236)
• residual design of 7-(26,13,17556) (# 13242)

# 13251: 7-(27,13,13680)

• clan: 15-(32,16,6), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 7-(26,13,9576) (# 13236) : der= 7-(26,12,4104) and res= 7-(26,13,9576) - the given design is the residual.
• Tran van Trung construction (right) for 7-(26,12,4104) (# 13240) : der= 7-(26,12,4104) and res= 7-(26,13,9576) - the given design is the derived.

# 13252: 6-(27,13,75240)

• clan: 15-(32,16,11), 4 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(26,13,50160) (# 13241) : der= 6-(26,12,25080) and res= 6-(26,13,50160) - the given design is the residual.
• Tran van Trung construction (right) for 6-(26,12,25080) (# 13243) : der= 6-(26,12,25080) and res= 6-(26,13,50160) - the given design is the derived.
• supplementary design of 7-(27,13,13680) (# 13251) with respect to smaller t
• derived from supplementary of 7-(28,14,41040) (# 13256)
• derived from 7-(28,14,75240) (# 13260)
• residual design of supplementary of 7-(28,13,19152) (# 13496)

# 13253: 5-(27,13,206910)

• clan: 15-(32,16,11), 5 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(26,13,131670) (# 13244) : der= 5-(26,12,75240) and res= 5-(26,13,131670) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,75240) (# 13245) : der= 5-(26,12,75240) and res= 5-(26,13,131670) - the given design is the derived.
• supplementary design of 6-(27,13,41040) (# 13248) with respect to smaller t
• design 6-(27,13,75240) (# 13252) with respect to smaller t
• derived from supplementary of 6-(28,14,112860) (# 13255)
• derived from 6-(28,14,206910) (# 13259)
• residual design of supplementary of 6-(28,13,60192) (# 13337)
• residual design of 6-(28,13,110352) (# 13339)

# 13254: 5-(27,12,110352)

• clan: 15-(32,16,11), 5 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,12,75240) (# 13245) : der= 5-(26,11,35112) and res= 5-(26,12,75240) - the given design is the residual.
• supplementary design of 6-(27,12,19152) (# 13333) with respect to smaller t
• design 6-(27,12,35112) (# 13335) with respect to smaller t
• residual design of supplementary of 6-(28,12,26334) (# 13336)
• derived from supplementary of 6-(28,13,60192) (# 13337)
• residual design of 6-(28,12,48279) (# 13338)
• derived from 6-(28,13,110352) (# 13339)

# 13255: 6-(28,14,112860)

• clan: 15-(32,16,6), 5 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,41040) (# 13248)
• design 7-(28,14,41040) (# 13256) with respect to smaller t
• supplementary design of 7-(28,14,75240) (# 13260) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,71820) (# 13266) : der= 6-(27,13,41040) and res= 6-(27,14,71820) - the given design is the residual.
• residual design of 7-(29,14,60192) (# 13498)

# 13256: 7-(28,14,41040)

• clan: 15-(32,16,6), 4 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,41040) (# 13248)
• Tran van Trung construction with complementary design for 7-(27,13,13680) (# 13251)

# 13257: 5-(24,13,26676)

• clan: 15-(32,16,6), 2 times reduced t, 3 times derived, 5 times residual
• residual design of 6-(25,13,17784) (# 13249)
• residual design of supplementary of 6-(25,13,32604) (# 13250)

# 13258: 5-(24,13,48906)

• clan: 15-(32,16,11), 2 times reduced t, 3 times derived, 5 times residual
• residual design of supplementary of 6-(25,13,17784) (# 13249)
• residual design of 6-(25,13,32604) (# 13250)

# 13259: 6-(28,14,206910)

• clan: 15-(32,16,11), 5 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,75240) (# 13252)
• supplementary design of 7-(28,14,41040) (# 13256) with respect to smaller t
• design 7-(28,14,75240) (# 13260) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,131670) (# 13267) : der= 6-(27,13,75240) and res= 6-(27,14,131670) - the given design is the residual.
• residual design of supplementary of 7-(29,14,60192) (# 13498)

# 13260: 7-(28,14,75240)

• clan: 15-(32,16,11), 4 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,75240) (# 13252)

# 13261: 5-(28,14,528770)

• clan: 15-(32,16,11), 6 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,206910) (# 13253)
• supplementary design of 6-(28,14,112860) (# 13255) with respect to smaller t
• design 6-(28,14,206910) (# 13259) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,321860) (# 13265) : der= 5-(27,13,206910) and res= 5-(27,14,321860) - the given design is the residual.
• residual design of supplementary of 6-(29,14,173052) (# 13341)
• residual design of 6-(29,14,317262) (# 13343)
• derived from supplementary of 6-(29,15,288420) (# 13353)
• derived from 6-(29,15,528770) (# 13354)

# 13262: 5-(28,13,317262)

• clan: 15-(32,16,11), 6 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(27,13,206910) (# 13253) : der= 5-(27,12,110352) and res= 5-(27,13,206910) - the given design is the residual.
• Tran van Trung construction (right) for 5-(27,12,110352) (# 13254) : der= 5-(27,12,110352) and res= 5-(27,13,206910) - the given design is the derived.
• supplementary design of 6-(28,13,60192) (# 13337) with respect to smaller t
• design 6-(28,13,110352) (# 13339) with respect to smaller t
• residual design of supplementary of 6-(29,13,86526) (# 13340)
• derived from supplementary of 6-(29,14,173052) (# 13341)
• residual design of 6-(29,13,158631) (# 13342)
• derived from 6-(29,14,317262) (# 13343)

# 13263: 5-(28,12,158631)

• clan: 15-(32,16,11), 6 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,110352) (# 13254) : der= 5-(27,11,48279) and res= 5-(27,12,110352) - the given design is the residual.
• supplementary design of 6-(28,12,26334) (# 13336) with respect to smaller t
• design 6-(28,12,48279) (# 13338) with respect to smaller t
• derived from supplementary of 6-(29,13,86526) (# 13340)
• derived from 6-(29,13,158631) (# 13342)

# 13264: 5-(27,14,175560)

• clan: 15-(32,16,6), 5 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(28,14,112860) (# 13255)
• residual design of supplementary of 6-(28,14,206910) (# 13259)
• design 6-(27,14,71820) (# 13266) with respect to smaller t
• supplementary design of 6-(27,14,131670) (# 13267) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,103740) (# 13270) : der= 5-(26,13,71820) and res= 5-(26,14,103740) - the given design is the residual.

# 13265: 5-(27,14,321860)

• clan: 15-(32,16,11), 5 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(28,14,112860) (# 13255)
• residual design of 6-(28,14,206910) (# 13259)
• supplementary design of 6-(27,14,71820) (# 13266) with respect to smaller t
• design 6-(27,14,131670) (# 13267) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,190190) (# 13271) : der= 5-(26,13,131670) and res= 5-(26,14,190190) - the given design is the residual.

# 13266: 6-(27,14,71820)

• clan: 15-(32,16,6), 4 times reduced t, 2 times derived, 3 times residual
• residual design of 7-(28,14,41040) (# 13256)
• residual design of supplementary of 7-(28,14,75240) (# 13260)

# 13267: 6-(27,14,131670)

• clan: 15-(32,16,11), 4 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 7-(28,14,41040) (# 13256)
• residual design of 7-(28,14,75240) (# 13260)

# 13268: 5-(29,14,846032)

• clan: 15-(32,16,11), 7 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,528770) (# 13261) : der= 5-(28,13,317262) and res= 5-(28,14,528770) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,13,317262) (# 13262) : der= 5-(28,13,317262) and res= 5-(28,14,528770) - the given design is the derived.
• supplementary design of 6-(29,14,173052) (# 13341) with respect to smaller t
• design 6-(29,14,317262) (# 13343) with respect to smaller t
• residual design of supplementary of 6-(30,14,259578) (# 13344)
• derived from supplementary of 6-(30,15,461472) (# 13345)
• residual design of 6-(30,14,475893) (# 13347)
• derived from 6-(30,15,846032) (# 13348)

# 13269: 5-(29,13,475893)

• clan: 15-(32,16,11), 7 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(28,13,317262) (# 13262) : der= 5-(28,12,158631) and res= 5-(28,13,317262) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,12,158631) (# 13263) : der= 5-(28,12,158631) and res= 5-(28,13,317262) - the given design is the derived.
• supplementary design of 6-(29,13,86526) (# 13340) with respect to smaller t
• design 6-(29,13,158631) (# 13342) with respect to smaller t
• derived from supplementary of 6-(30,14,259578) (# 13344)
• derived from 6-(30,14,475893) (# 13347)

# 13270: 5-(26,14,103740)

• clan: 15-(32,16,6), 4 times reduced t, 2 times derived, 4 times residual
• residual design of 6-(27,14,71820) (# 13266)
• residual design of supplementary of 6-(27,14,131670) (# 13267)

# 13271: 5-(26,14,190190)

• clan: 15-(32,16,11), 4 times reduced t, 2 times derived, 4 times residual
• residual design of supplementary of 6-(27,14,71820) (# 13266)
• residual design of 6-(27,14,131670) (# 13267)

# 13272: 5-(30,15,2115080)

• clan: 15-(32,16,11), 8 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,846032) (# 13268)
• supplementary design of 6-(30,15,461472) (# 13345) with respect to smaller t
• design 6-(30,15,846032) (# 13348) with respect to smaller t
• residual design of supplementary of 6-(31,15,721050) (# 13350)
• Tran van Trung construction (left) for 5-(29,15,1269048) (# 13352) : der= 5-(29,14,846032) and res= 5-(29,15,1269048) - the given design is the residual.
• residual design of 6-(31,15,1321925) (# 13355)
• derived from supplementary of 6-(31,16,1153680) (# 13364)
• derived from 6-(31,16,2115080) (# 13365)

# 13273: 5-(30,14,1321925)

• clan: 15-(32,16,11), 8 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(29,14,846032) (# 13268) : der= 5-(29,13,475893) and res= 5-(29,14,846032) - the given design is the residual.
• Tran van Trung construction (right) for 5-(29,13,475893) (# 13269) : der= 5-(29,13,475893) and res= 5-(29,14,846032) - the given design is the derived.
• supplementary design of 6-(30,14,259578) (# 13344) with respect to smaller t
• design 6-(30,14,475893) (# 13347) with respect to smaller t
• derived from supplementary of 6-(31,15,721050) (# 13350)
• derived from 6-(31,15,1321925) (# 13355)

# 13274: 5-(31,15,3437005)

• clan: 15-(32,16,11), 9 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(30,15,2115080) (# 13272) : der= 5-(30,14,1321925) and res= 5-(30,15,2115080) - the given design is the residual.
• Tran van Trung construction (right) for 5-(30,14,1321925) (# 13273) : der= 5-(30,14,1321925) and res= 5-(30,15,2115080) - the given design is the derived.
• supplementary design of 6-(31,15,721050) (# 13350) with respect to smaller t
• design 6-(31,15,1321925) (# 13355) with respect to smaller t
• derived from supplementary of 6-(32,16,1874730) (# 13356)
• derived from 6-(32,16,3437005) (# 13360)

# 13275: 5-(32,16,8436285)

• clan: 15-(32,16,11), 10 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,3437005) (# 13274)
• supplementary design of 6-(32,16,1874730) (# 13356) with respect to smaller t
• design 6-(32,16,3437005) (# 13360) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,4999280) (# 13363) : der= 5-(31,15,3437005) and res= 5-(31,16,4999280) - the given design is the residual.

# 13276: 7-(24,8,4)

• clan: 15-(32,16,4), 8 times derived
• PSL(2,23) (1 isom. type) \cite{Bettenetal98b}

# 13277: 6-(23,7,4)

• clan: 15-(32,16,4), 9 times derived
• derived from 7-(24,8,4) (# 13276)

# 13278: 6-(23,8,32)

• clan: 15-(32,16,4), 8 times derived, 1 times residual
• residual design of 7-(24,8,4) (# 13276)

# 13279: 6-(24,8,117)

• clan: 15-(32,16,13), 1 times reduced t, 8 times derived
• supplementary design of 7-(24,8,4) (# 13276) with respect to smaller t
• Tran van Trung construction (right) for 6-(23,7,13) (# 13280) : der= 6-(23,7,13) and res= 6-(23,8,104) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,8,104) (# 13281) : der= 6-(23,7,13) and res= 6-(23,8,104) - the given design is the residual.

# 13280: 6-(23,7,13)

• clan: 15-(32,16,13), 9 times derived
• derived from supplementary of 7-(24,8,4) (# 13276)

# 13281: 6-(23,8,104)

• clan: 15-(32,16,13), 8 times derived, 1 times residual
• residual design of supplementary of 7-(24,8,4) (# 13276)

# 13282: 5-(22,6,4)

• clan: 15-(32,16,4), 10 times derived
• derived from 6-(23,7,4) (# 13277)
• derived from supplementary of 6-(23,7,13) (# 13280)

# 13283: 5-(22,7,32)

• clan: 15-(32,16,4), 9 times derived, 1 times residual
• residual design of 6-(23,7,4) (# 13277)
• derived from 6-(23,8,32) (# 13278)
• residual design of supplementary of 6-(23,7,13) (# 13280)
• derived from supplementary of 6-(23,8,104) (# 13281)

# 13284: 5-(22,6,13)

• clan: 15-(32,16,13), 10 times derived
• derived from supplementary of 6-(23,7,4) (# 13277)
• derived from 6-(23,7,13) (# 13280)

# 13285: 5-(22,7,104)

• clan: 15-(32,16,13), 9 times derived, 1 times residual
• residual design of supplementary of 6-(23,7,4) (# 13277)
• derived from supplementary of 6-(23,8,32) (# 13278)
• residual design of 6-(23,7,13) (# 13280)
• derived from 6-(23,8,104) (# 13281)

# 13286: 5-(22,8,520)

• clan: 15-(32,16,13), 8 times derived, 2 times residual
• residual design of supplementary of 6-(23,8,32) (# 13278)
• residual design of 6-(23,8,104) (# 13281)

# 13287: 7-(24,8,5)

• clan: 15-(32,16,5), 8 times derived
• PSL(2,23) (138 isom. types) \cite{Bettenetal98b}

# 13288: 6-(23,7,5)

• clan: 15-(32,16,5), 9 times derived
• derived from 7-(24,8,5) (# 13287)

# 13289: 6-(23,8,40)

• clan: 15-(32,16,5), 8 times derived, 1 times residual
• residual design of 7-(24,8,5) (# 13287)
• derived from 7-(24,9,40) (# 13434)

# 13290: 6-(24,8,108)

• clan: 15-(32,16,12), 1 times reduced t, 8 times derived
• supplementary design of 7-(24,8,5) (# 13287) with respect to smaller t
• Tran van Trung construction (right) for 6-(23,7,12) (# 13291) : der= 6-(23,7,12) and res= 6-(23,8,96) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,8,96) (# 13292) : der= 6-(23,7,12) and res= 6-(23,8,96) - the given design is the residual.
• derived from supplementary of 7-(25,9,45) (# 13439)

# 13291: 6-(23,7,12)

• clan: 15-(32,16,12), 9 times derived
• derived from supplementary of 7-(24,8,5) (# 13287)

# 13292: 6-(23,8,96)

• clan: 15-(32,16,12), 8 times derived, 1 times residual
• residual design of supplementary of 7-(24,8,5) (# 13287)
• derived from supplementary of 7-(24,9,40) (# 13434)

# 13293: 5-(22,6,5)

• clan: 15-(32,16,5), 10 times derived
• derived from 6-(23,7,5) (# 13288)
• derived from supplementary of 6-(23,7,12) (# 13291)

# 13294: 5-(22,6,12)

• clan: 15-(32,16,12), 10 times derived
• derived from supplementary of 6-(23,7,5) (# 13288)
• derived from 6-(23,7,12) (# 13291)

# 13295: 5-(22,7,96)

• clan: 15-(32,16,12), 9 times derived, 1 times residual
• residual design of supplementary of 6-(23,7,5) (# 13288)
• derived from supplementary of 6-(23,8,40) (# 13289)
• residual design of 6-(23,7,12) (# 13291)
• derived from 6-(23,8,96) (# 13292)

# 13296: 5-(22,8,480)

• clan: 15-(32,16,12), 8 times derived, 2 times residual
• residual design of supplementary of 6-(23,8,40) (# 13289)
• residual design of 6-(23,8,96) (# 13292)
• derived from supplementary of 6-(23,9,200) (# 13436)
• derived from 6-(23,9,480) (# 13438)

# 13297: 5-(23,9,2160)

• clan: 15-(32,16,12), 1 times reduced t, 7 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(22,8,480) (# 13296) : der= 5-(22,8,480) and res= 5-(22,9,1680) - the given design is the derived.
• residual design of supplementary of 6-(24,9,240) (# 13435)
• supplementary design of 6-(23,9,200) (# 13436) with respect to smaller t
• residual design of 6-(24,9,576) (# 13437)
• design 6-(23,9,480) (# 13438) with respect to smaller t
• derived from supplementary of 6-(24,10,900) (# 13440)

# 13298: 5-(24,10,8208)

• clan: 15-(32,16,12), 2 times reduced t, 6 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(23,9,2160) (# 13297) : der= 5-(23,9,2160) and res= 5-(23,10,6048) - the given design is the derived.
• supplementary design of 6-(24,10,900) (# 13440) with respect to smaller t
• residual design of supplementary of 6-(25,10,1140) (# 13442)
• derived from supplementary of 6-(25,11,3420) (# 13443)

# 13299: 5-(25,11,27360)

• clan: 15-(32,16,12), 3 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(24,10,8208) (# 13298) : der= 5-(24,10,8208) and res= 5-(24,11,19152) - the given design is the derived.
• supplementary design of 6-(25,11,3420) (# 13443) with respect to smaller t
• residual design of supplementary of 6-(26,11,4560) (# 13444)
• derived from supplementary of 6-(26,12,11400) (# 13445)

created: Fri Oct 23 11:13:28 CEST 2009