t designs with small t, id ge 18400

clan: 25-(56,28,810), 1 times reduced t, 16 times derived
$PSL(4,3)$ (>= 1 isomorphism types)

# 18403: 7-(40,12,42768)

clan: 25-(56,28,810), 2 times reduced t, 16 times derived
design 8-(40,12,6480) (# 18402) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,6480) (# 18404) : der= 7-(39,11,6480) and res= 7-(39,12,36288) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,36288) (# 18405) : der= 7-(39,11,6480) and res= 7-(39,12,36288) - the given design is the residual.

# 18404: 7-(39,11,6480)

clan: 25-(56,28,810), 1 times reduced t, 17 times derived
derived from 8-(40,12,6480) (# 18402)

# 18405: 7-(39,12,36288)

clan: 25-(56,28,810), 1 times reduced t, 16 times derived, 1 times residual
residual design of 8-(40,12,6480) (# 18402)

# 18406: 7-(40,12,194568)

clan: 25-(56,28,3685), 2 times reduced t, 16 times derived
supplementary design of 8-(40,12,6480) (# 18402) with respect to smaller t
Tran van Trung construction (right) for 7-(39,11,29480) (# 18407) : der= 7-(39,11,29480) and res= 7-(39,12,165088) - the given design is the derived.
Tran van Trung construction (left) for 7-(39,12,165088) (# 18408) : der= 7-(39,11,29480) and res= 7-(39,12,165088) - the given design is the residual.

# 18407: 7-(39,11,29480)

clan: 25-(56,28,3685), 1 times reduced t, 17 times derived
derived from supplementary of 8-(40,12,6480) (# 18402)

# 18408: 7-(39,12,165088)

clan: 25-(56,28,3685), 1 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 8-(40,12,6480) (# 18402)

# 18409: 6-(40,12,242352)

clan: 25-(56,28,810), 3 times reduced t, 16 times derived
design 7-(40,12,42768) (# 18403) with respect to smaller t
supplementary design of 7-(40,12,194568) (# 18406) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,42768) (# 18410) : der= 6-(39,11,42768) and res= 6-(39,12,199584) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,199584) (# 18411) : der= 6-(39,11,42768) and res= 6-(39,12,199584) - the given design is the residual.

# 18410: 6-(39,11,42768)

clan: 25-(56,28,810), 2 times reduced t, 17 times derived
derived from 7-(40,12,42768) (# 18403)
design 7-(39,11,6480) (# 18404) with respect to smaller t
derived from supplementary of 7-(40,12,194568) (# 18406)
supplementary design of 7-(39,11,29480) (# 18407) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,6480) (# 18415) : der= 6-(38,10,6480) and res= 6-(38,11,36288) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,36288) (# 18416) : der= 6-(38,10,6480) and res= 6-(38,11,36288) - the given design is the residual.

# 18411: 6-(39,12,199584)

clan: 25-(56,28,810), 2 times reduced t, 16 times derived, 1 times residual
residual design of 7-(40,12,42768) (# 18403)
design 7-(39,12,36288) (# 18405) with respect to smaller t
residual design of supplementary of 7-(40,12,194568) (# 18406)
supplementary design of 7-(39,12,165088) (# 18408) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,36288) (# 18416) : der= 6-(38,11,36288) and res= 6-(38,12,163296) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,163296) (# 18419) : der= 6-(38,11,36288) and res= 6-(38,12,163296) - the given design is the residual.

# 18412: 6-(40,12,1102552)

clan: 25-(56,28,3685), 3 times reduced t, 16 times derived
supplementary design of 7-(40,12,42768) (# 18403) with respect to smaller t
design 7-(40,12,194568) (# 18406) with respect to smaller t
Tran van Trung construction (right) for 6-(39,11,194568) (# 18413) : der= 6-(39,11,194568) and res= 6-(39,12,907984) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,12,907984) (# 18414) : der= 6-(39,11,194568) and res= 6-(39,12,907984) - the given design is the residual.

# 18413: 6-(39,11,194568)

clan: 25-(56,28,3685), 2 times reduced t, 17 times derived
derived from supplementary of 7-(40,12,42768) (# 18403)
supplementary design of 7-(39,11,6480) (# 18404) with respect to smaller t
derived from 7-(40,12,194568) (# 18406)
design 7-(39,11,29480) (# 18407) with respect to smaller t
Tran van Trung construction (right) for 6-(38,10,29480) (# 18417) : der= 6-(38,10,29480) and res= 6-(38,11,165088) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,11,165088) (# 18418) : der= 6-(38,10,29480) and res= 6-(38,11,165088) - the given design is the residual.

# 18414: 6-(39,12,907984)

clan: 25-(56,28,3685), 2 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 7-(40,12,42768) (# 18403)
supplementary design of 7-(39,12,36288) (# 18405) with respect to smaller t
residual design of 7-(40,12,194568) (# 18406)
design 7-(39,12,165088) (# 18408) with respect to smaller t
Tran van Trung construction (right) for 6-(38,11,165088) (# 18418) : der= 6-(38,11,165088) and res= 6-(38,12,742896) - the given design is the derived.
Tran van Trung construction (left) for 6-(38,12,742896) (# 18420) : der= 6-(38,11,165088) and res= 6-(38,12,742896) - the given design is the residual.

# 18415: 6-(38,10,6480)

clan: 25-(56,28,810), 1 times reduced t, 18 times derived
derived from 7-(39,11,6480) (# 18404)
derived from supplementary of 7-(39,11,29480) (# 18407)

# 18416: 6-(38,11,36288)

clan: 25-(56,28,810), 1 times reduced t, 17 times derived, 1 times residual
residual design of 7-(39,11,6480) (# 18404)
derived from 7-(39,12,36288) (# 18405)
residual design of supplementary of 7-(39,11,29480) (# 18407)
derived from supplementary of 7-(39,12,165088) (# 18408)

# 18417: 6-(38,10,29480)

clan: 25-(56,28,3685), 1 times reduced t, 18 times derived
derived from supplementary of 7-(39,11,6480) (# 18404)
derived from 7-(39,11,29480) (# 18407)

# 18418: 6-(38,11,165088)

clan: 25-(56,28,3685), 1 times reduced t, 17 times derived, 1 times residual
residual design of supplementary of 7-(39,11,6480) (# 18404)
derived from supplementary of 7-(39,12,36288) (# 18405)
residual design of 7-(39,11,29480) (# 18407)
derived from 7-(39,12,165088) (# 18408)

# 18419: 6-(38,12,163296)

clan: 25-(56,28,810), 1 times reduced t, 16 times derived, 2 times residual
residual design of 7-(39,12,36288) (# 18405)
residual design of supplementary of 7-(39,12,165088) (# 18408)

# 18420: 6-(38,12,742896)

clan: 25-(56,28,3685), 1 times reduced t, 16 times derived, 2 times residual
residual design of supplementary of 7-(39,12,36288) (# 18405)
residual design of 7-(39,12,165088) (# 18408)

# 18421: 5-(40,12,1211760)

clan: 25-(56,28,810), 4 times reduced t, 16 times derived
design 6-(40,12,242352) (# 18409) with respect to smaller t
supplementary design of 6-(40,12,1102552) (# 18412) with respect to smaller t
Tran van Trung construction (right) for 5-(39,11,242352) (# 18422) : der= 5-(39,11,242352) and res= 5-(39,12,969408) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,12,969408) (# 18423) : der= 5-(39,11,242352) and res= 5-(39,12,969408) - the given design is the residual.

# 18422: 5-(39,11,242352)

clan: 25-(56,28,810), 3 times reduced t, 17 times derived
derived from 6-(40,12,242352) (# 18409)
design 6-(39,11,42768) (# 18410) with respect to smaller t
derived from supplementary of 6-(40,12,1102552) (# 18412)
supplementary design of 6-(39,11,194568) (# 18413) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,42768) (# 18427) : der= 5-(38,10,42768) and res= 5-(38,11,199584) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,199584) (# 18428) : der= 5-(38,10,42768) and res= 5-(38,11,199584) - the given design is the residual.

# 18423: 5-(39,12,969408)

clan: 25-(56,28,810), 3 times reduced t, 16 times derived, 1 times residual
residual design of 6-(40,12,242352) (# 18409)
design 6-(39,12,199584) (# 18411) with respect to smaller t
residual design of supplementary of 6-(40,12,1102552) (# 18412)
supplementary design of 6-(39,12,907984) (# 18414) with respect to smaller t
Tran van Trung construction (right) for 5-(38,11,199584) (# 18428) : der= 5-(38,11,199584) and res= 5-(38,12,769824) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,12,769824) (# 18431) : der= 5-(38,11,199584) and res= 5-(38,12,769824) - the given design is the residual.

# 18424: 5-(40,12,5512760)

clan: 25-(56,28,3685), 4 times reduced t, 16 times derived
supplementary design of 6-(40,12,242352) (# 18409) with respect to smaller t
design 6-(40,12,1102552) (# 18412) with respect to smaller t
Tran van Trung construction (right) for 5-(39,11,1102552) (# 18425) : der= 5-(39,11,1102552) and res= 5-(39,12,4410208) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,12,4410208) (# 18426) : der= 5-(39,11,1102552) and res= 5-(39,12,4410208) - the given design is the residual.

# 18425: 5-(39,11,1102552)

clan: 25-(56,28,3685), 3 times reduced t, 17 times derived
derived from supplementary of 6-(40,12,242352) (# 18409)
supplementary design of 6-(39,11,42768) (# 18410) with respect to smaller t
derived from 6-(40,12,1102552) (# 18412)
design 6-(39,11,194568) (# 18413) with respect to smaller t
Tran van Trung construction (right) for 5-(38,10,194568) (# 18429) : der= 5-(38,10,194568) and res= 5-(38,11,907984) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,11,907984) (# 18430) : der= 5-(38,10,194568) and res= 5-(38,11,907984) - the given design is the residual.

# 18426: 5-(39,12,4410208)

clan: 25-(56,28,3685), 3 times reduced t, 16 times derived, 1 times residual
residual design of supplementary of 6-(40,12,242352) (# 18409)
supplementary design of 6-(39,12,199584) (# 18411) with respect to smaller t
residual design of 6-(40,12,1102552) (# 18412)
design 6-(39,12,907984) (# 18414) with respect to smaller t
Tran van Trung construction (right) for 5-(38,11,907984) (# 18430) : der= 5-(38,11,907984) and res= 5-(38,12,3502224) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,12,3502224) (# 18432) : der= 5-(38,11,907984) and res= 5-(38,12,3502224) - the given design is the residual.

# 18427: 5-(38,10,42768)

clan: 25-(56,28,810), 2 times reduced t, 18 times derived
derived from 6-(39,11,42768) (# 18410)
derived from supplementary of 6-(39,11,194568) (# 18413)
design 6-(38,10,6480) (# 18415) with respect to smaller t
supplementary design of 6-(38,10,29480) (# 18417) with respect to smaller t
Tran van Trung construction (right) for 5-(37,9,6480) (# 18433) : der= 5-(37,9,6480) and res= 5-(37,10,36288) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,10,36288) (# 18434) : der= 5-(37,9,6480) and res= 5-(37,10,36288) - the given design is the residual.

# 18428: 5-(38,11,199584)

clan: 25-(56,28,810), 2 times reduced t, 17 times derived, 1 times residual
residual design of 6-(39,11,42768) (# 18410)
derived from 6-(39,12,199584) (# 18411)
residual design of supplementary of 6-(39,11,194568) (# 18413)
derived from supplementary of 6-(39,12,907984) (# 18414)
design 6-(38,11,36288) (# 18416) with respect to smaller t
supplementary design of 6-(38,11,165088) (# 18418) with respect to smaller t
Tran van Trung construction (right) for 5-(37,10,36288) (# 18434) : der= 5-(37,10,36288) and res= 5-(37,11,163296) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,11,163296) (# 18437) : der= 5-(37,10,36288) and res= 5-(37,11,163296) - the given design is the residual.

# 18429: 5-(38,10,194568)

clan: 25-(56,28,3685), 2 times reduced t, 18 times derived
derived from supplementary of 6-(39,11,42768) (# 18410)
derived from 6-(39,11,194568) (# 18413)
supplementary design of 6-(38,10,6480) (# 18415) with respect to smaller t
design 6-(38,10,29480) (# 18417) with respect to smaller t
Tran van Trung construction (right) for 5-(37,9,29480) (# 18435) : der= 5-(37,9,29480) and res= 5-(37,10,165088) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,10,165088) (# 18436) : der= 5-(37,9,29480) and res= 5-(37,10,165088) - the given design is the residual.

# 18430: 5-(38,11,907984)

clan: 25-(56,28,3685), 2 times reduced t, 17 times derived, 1 times residual
residual design of supplementary of 6-(39,11,42768) (# 18410)
derived from supplementary of 6-(39,12,199584) (# 18411)
residual design of 6-(39,11,194568) (# 18413)
derived from 6-(39,12,907984) (# 18414)
supplementary design of 6-(38,11,36288) (# 18416) with respect to smaller t
design 6-(38,11,165088) (# 18418) with respect to smaller t
Tran van Trung construction (right) for 5-(37,10,165088) (# 18436) : der= 5-(37,10,165088) and res= 5-(37,11,742896) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,11,742896) (# 18438) : der= 5-(37,10,165088) and res= 5-(37,11,742896) - the given design is the residual.

# 18431: 5-(38,12,769824)

clan: 25-(56,28,810), 2 times reduced t, 16 times derived, 2 times residual
residual design of 6-(39,12,199584) (# 18411)
residual design of supplementary of 6-(39,12,907984) (# 18414)
design 6-(38,12,163296) (# 18419) with respect to smaller t
supplementary design of 6-(38,12,742896) (# 18420) with respect to smaller t
Tran van Trung construction (right) for 5-(37,11,163296) (# 18437) : der= 5-(37,11,163296) and res= 5-(37,12,606528) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,12,606528) (# 18439) : der= 5-(37,11,163296) and res= 5-(37,12,606528) - the given design is the residual.

# 18432: 5-(38,12,3502224)

clan: 25-(56,28,3685), 2 times reduced t, 16 times derived, 2 times residual
residual design of supplementary of 6-(39,12,199584) (# 18411)
residual design of 6-(39,12,907984) (# 18414)
supplementary design of 6-(38,12,163296) (# 18419) with respect to smaller t
design 6-(38,12,742896) (# 18420) with respect to smaller t
Tran van Trung construction (right) for 5-(37,11,742896) (# 18438) : der= 5-(37,11,742896) and res= 5-(37,12,2759328) - the given design is the derived.
Tran van Trung construction (left) for 5-(37,12,2759328) (# 18440) : der= 5-(37,11,742896) and res= 5-(37,12,2759328) - the given design is the residual.

# 18433: 5-(37,9,6480)

clan: 25-(56,28,810), 1 times reduced t, 19 times derived
derived from 6-(38,10,6480) (# 18415)
derived from supplementary of 6-(38,10,29480) (# 18417)

# 18434: 5-(37,10,36288)

clan: 25-(56,28,810), 1 times reduced t, 18 times derived, 1 times residual
residual design of 6-(38,10,6480) (# 18415)
derived from 6-(38,11,36288) (# 18416)
residual design of supplementary of 6-(38,10,29480) (# 18417)
derived from supplementary of 6-(38,11,165088) (# 18418)

# 18435: 5-(37,9,29480)

clan: 25-(56,28,3685), 1 times reduced t, 19 times derived
derived from supplementary of 6-(38,10,6480) (# 18415)
derived from 6-(38,10,29480) (# 18417)

# 18436: 5-(37,10,165088)

clan: 25-(56,28,3685), 1 times reduced t, 18 times derived, 1 times residual
residual design of supplementary of 6-(38,10,6480) (# 18415)
derived from supplementary of 6-(38,11,36288) (# 18416)
residual design of 6-(38,10,29480) (# 18417)
derived from 6-(38,11,165088) (# 18418)

# 18437: 5-(37,11,163296)

clan: 25-(56,28,810), 1 times reduced t, 17 times derived, 2 times residual
residual design of 6-(38,11,36288) (# 18416)
residual design of supplementary of 6-(38,11,165088) (# 18418)
derived from 6-(38,12,163296) (# 18419)
derived from supplementary of 6-(38,12,742896) (# 18420)

# 18438: 5-(37,11,742896)

clan: 25-(56,28,3685), 1 times reduced t, 17 times derived, 2 times residual
residual design of supplementary of 6-(38,11,36288) (# 18416)
residual design of 6-(38,11,165088) (# 18418)
derived from supplementary of 6-(38,12,163296) (# 18419)
derived from 6-(38,12,742896) (# 18420)

# 18439: 5-(37,12,606528)

clan: 25-(56,28,810), 1 times reduced t, 16 times derived, 3 times residual
residual design of 6-(38,12,163296) (# 18419)
residual design of supplementary of 6-(38,12,742896) (# 18420)

# 18440: 5-(37,12,2759328)

clan: 25-(56,28,3685), 1 times reduced t, 16 times derived, 3 times residual
residual design of supplementary of 6-(38,12,163296) (# 18419)
residual design of 6-(38,12,742896) (# 18420)

created: Fri Oct 23 11:15:37 CEST 2009