t designs with small t, id ge 9600

• clan: 7-(24,12,2772)
• Alltop construction for design 6-(23,11,2772) (# 9598)

# 9601: 5-(23,11,10248)

• clan: 7-(24,12,3416), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2772) (# 9598) with respect to smaller t
• derived from supplementary of 6-(24,12,8316) (# 9599)
• Tran van Trung construction (right) for 5-(22,10,3416) (# 9602) : der= 5-(22,10,3416) and res= 5-(22,11,6832) - the given design is the derived.
• derived from 6-(24,12,10248) (# 9607)
• design 6-(23,11,3416) (# 9608) with respect to smaller t

# 9602: 5-(22,10,3416)

• clan: 7-(24,12,3416), 2 times derived
• derived from supplementary of 6-(23,11,2772) (# 9598)
• derived from 6-(23,11,3416) (# 9608)

# 9603: 5-(23,12,14256)

• clan: 7-(24,12,2772), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,8316) (# 9599)
• design 6-(23,12,5544) (# 9606) with respect to smaller t
• residual design of supplementary of 6-(24,12,10248) (# 9607)
• supplementary design of 6-(23,12,6832) (# 9609) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,8712) (# 9610) : der= 5-(22,11,5544) and res= 5-(22,12,8712) - the given design is the residual.

# 9604: 5-(24,12,27816)

• clan: 7-(24,12,3416), 2 times reduced t
• supplementary design of 6-(24,12,8316) (# 9599) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,10248) (# 9601)
• Tran van Trung construction (right) for 5-(23,11,10248) (# 9601) : der= 5-(23,11,10248) and res= 5-(23,12,17568) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,17568) (# 9605) : der= 5-(23,11,10248) and res= 5-(23,12,17568) - the given design is the residual.
• design 6-(24,12,10248) (# 9607) with respect to smaller t

# 9605: 5-(23,12,17568)

• clan: 7-(24,12,3416), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,8316) (# 9599)
• supplementary design of 6-(23,12,5544) (# 9606) with respect to smaller t
• residual design of 6-(24,12,10248) (# 9607)
• design 6-(23,12,6832) (# 9609) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,10736) (# 9611) : der= 5-(22,11,6832) and res= 5-(22,12,10736) - the given design is the residual.

# 9606: 6-(23,12,5544)

• clan: 7-(24,12,2772), 1 times residual
• residual design of 7-(24,12,2772) (# 9600)
• residual design of supplementary of 7-(24,12,3416) (# 9612)

# 9607: 6-(24,12,10248)

• clan: 7-(24,12,3416), 1 times reduced t
• supplementary design of 7-(24,12,2772) (# 9600) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3416) (# 9608)
• Tran van Trung construction (right) for 6-(23,11,3416) (# 9608) : der= 6-(23,11,3416) and res= 6-(23,12,6832) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6832) (# 9609) : der= 6-(23,11,3416) and res= 6-(23,12,6832) - the given design is the residual.
• design 7-(24,12,3416) (# 9612) with respect to smaller t

# 9608: 6-(23,11,3416)

• clan: 7-(24,12,3416), 1 times derived
• derived from supplementary of 7-(24,12,2772) (# 9600)
• derived from 7-(24,12,3416) (# 9612)

# 9609: 6-(23,12,6832)

• clan: 7-(24,12,3416), 1 times residual
• residual design of supplementary of 7-(24,12,2772) (# 9600)
• residual design of 7-(24,12,3416) (# 9612)

# 9610: 5-(22,12,8712)

• clan: 7-(24,12,2772), 2 times residual
• residual design of 6-(23,12,5544) (# 9606)
• residual design of supplementary of 6-(23,12,6832) (# 9609)

# 9611: 5-(22,12,10736)

• clan: 7-(24,12,3416), 2 times residual
• residual design of supplementary of 6-(23,12,5544) (# 9606)
• residual design of 6-(23,12,6832) (# 9609)

# 9612: 7-(24,12,3416)

• clan: 7-(24,12,3416)
• Alltop construction for design 6-(23,11,3416) (# 9608)

# 9613: 6-(23,11,2786)

• clan: 7-(24,12,2786), 1 times derived
• $ {\bf PGL(2,19)}{\bf S}_{3}$ % -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
• derived from 7-(24,12,2786) (# 9617)
• derived from supplementary of 7-(24,12,3402) (# 9629)

# 9614: 5-(23,11,8358)

• clan: 7-(24,12,2786), 1 times reduced t, 1 times derived
• design 6-(23,11,2786) (# 9613) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,2786) (# 9615) : der= 5-(22,10,2786) and res= 5-(22,11,5572) - the given design is the derived.
• derived from 6-(24,12,8358) (# 9616)
• derived from supplementary of 6-(24,12,10206) (# 9624)
• supplementary design of 6-(23,11,3402) (# 9625) with respect to smaller t

# 9615: 5-(22,10,2786)

• clan: 7-(24,12,2786), 2 times derived
• derived from 6-(23,11,2786) (# 9613)
• derived from supplementary of 6-(23,11,3402) (# 9625)

# 9616: 6-(24,12,8358)

• clan: 7-(24,12,2786), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2786) (# 9613)
• design 7-(24,12,2786) (# 9617) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5572) (# 9623) : der= 6-(23,11,2786) and res= 6-(23,12,5572) - the given design is the residual.
• supplementary design of 7-(24,12,3402) (# 9629) with respect to smaller t

# 9617: 7-(24,12,2786)

• clan: 7-(24,12,2786)
• Alltop construction for design 6-(23,11,2786) (# 9613)

# 9618: 5-(23,11,10206)

• clan: 7-(24,12,3402), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2786) (# 9613) with respect to smaller t
• derived from supplementary of 6-(24,12,8358) (# 9616)
• Tran van Trung construction (right) for 5-(22,10,3402) (# 9619) : der= 5-(22,10,3402) and res= 5-(22,11,6804) - the given design is the derived.
• derived from 6-(24,12,10206) (# 9624)
• design 6-(23,11,3402) (# 9625) with respect to smaller t

# 9619: 5-(22,10,3402)

• clan: 7-(24,12,3402), 2 times derived
• derived from supplementary of 6-(23,11,2786) (# 9613)
• derived from 6-(23,11,3402) (# 9625)

# 9620: 5-(23,12,14328)

• clan: 7-(24,12,2786), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,8358) (# 9616)
• design 6-(23,12,5572) (# 9623) with respect to smaller t
• residual design of supplementary of 6-(24,12,10206) (# 9624)
• supplementary design of 6-(23,12,6804) (# 9626) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,8756) (# 9627) : der= 5-(22,11,5572) and res= 5-(22,12,8756) - the given design is the residual.

# 9621: 5-(24,12,27702)

• clan: 7-(24,12,3402), 2 times reduced t
• supplementary design of 6-(24,12,8358) (# 9616) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,10206) (# 9618)
• Tran van Trung construction (right) for 5-(23,11,10206) (# 9618) : der= 5-(23,11,10206) and res= 5-(23,12,17496) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,17496) (# 9622) : der= 5-(23,11,10206) and res= 5-(23,12,17496) - the given design is the residual.
• design 6-(24,12,10206) (# 9624) with respect to smaller t

# 9622: 5-(23,12,17496)

• clan: 7-(24,12,3402), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,8358) (# 9616)
• supplementary design of 6-(23,12,5572) (# 9623) with respect to smaller t
• residual design of 6-(24,12,10206) (# 9624)
• design 6-(23,12,6804) (# 9626) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,10692) (# 9628) : der= 5-(22,11,6804) and res= 5-(22,12,10692) - the given design is the residual.

# 9623: 6-(23,12,5572)

• clan: 7-(24,12,2786), 1 times residual
• residual design of 7-(24,12,2786) (# 9617)
• residual design of supplementary of 7-(24,12,3402) (# 9629)

# 9624: 6-(24,12,10206)

• clan: 7-(24,12,3402), 1 times reduced t
• supplementary design of 7-(24,12,2786) (# 9617) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3402) (# 9625)
• Tran van Trung construction (right) for 6-(23,11,3402) (# 9625) : der= 6-(23,11,3402) and res= 6-(23,12,6804) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6804) (# 9626) : der= 6-(23,11,3402) and res= 6-(23,12,6804) - the given design is the residual.
• design 7-(24,12,3402) (# 9629) with respect to smaller t

# 9625: 6-(23,11,3402)

• clan: 7-(24,12,3402), 1 times derived
• derived from supplementary of 7-(24,12,2786) (# 9617)
• derived from 7-(24,12,3402) (# 9629)

# 9626: 6-(23,12,6804)

• clan: 7-(24,12,3402), 1 times residual
• residual design of supplementary of 7-(24,12,2786) (# 9617)
• residual design of 7-(24,12,3402) (# 9629)

# 9627: 5-(22,12,8756)

• clan: 7-(24,12,2786), 2 times residual
• residual design of 6-(23,12,5572) (# 9623)
• residual design of supplementary of 6-(23,12,6804) (# 9626)

# 9628: 5-(22,12,10692)

• clan: 7-(24,12,3402), 2 times residual
• residual design of supplementary of 6-(23,12,5572) (# 9623)
• residual design of 6-(23,12,6804) (# 9626)

# 9629: 7-(24,12,3402)

• clan: 7-(24,12,3402)
• Alltop construction for design 6-(23,11,3402) (# 9625)

# 9630: 6-(23,11,2898)

• clan: 7-(24,12,2898), 1 times derived
• $ {\bf PGL(2,19)}{\bf S}_{3}$ % -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
• derived from 7-(24,12,2898) (# 9632)
• derived from supplementary of 7-(24,12,3290) (# 9644)

# 9631: 6-(24,12,8694)

• clan: 7-(24,12,2898), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2898) (# 9630)
• design 7-(24,12,2898) (# 9632) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5796) (# 9638) : der= 6-(23,11,2898) and res= 6-(23,12,5796) - the given design is the residual.
• supplementary design of 7-(24,12,3290) (# 9644) with respect to smaller t

# 9632: 7-(24,12,2898)

• clan: 7-(24,12,2898)
• Alltop construction for design 6-(23,11,2898) (# 9630)

# 9633: 5-(23,11,9870)

• clan: 7-(24,12,3290), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2898) (# 9630) with respect to smaller t
• derived from supplementary of 6-(24,12,8694) (# 9631)
• Tran van Trung construction (right) for 5-(22,10,3290) (# 9634) : der= 5-(22,10,3290) and res= 5-(22,11,6580) - the given design is the derived.
• derived from 6-(24,12,9870) (# 9639)
• design 6-(23,11,3290) (# 9640) with respect to smaller t

# 9634: 5-(22,10,3290)

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

# 9635: 5-(23,12,14904)

• clan: 7-(24,12,2898), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,8694) (# 9631)
• design 6-(23,12,5796) (# 9638) with respect to smaller t
• residual design of supplementary of 6-(24,12,9870) (# 9639)
• supplementary design of 6-(23,12,6580) (# 9641) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,9108) (# 9642) : der= 5-(22,11,5796) and res= 5-(22,12,9108) - the given design is the residual.

# 9636: 5-(24,12,26790)

• clan: 7-(24,12,3290), 2 times reduced t
• supplementary design of 6-(24,12,8694) (# 9631) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,9870) (# 9633)
• Tran van Trung construction (right) for 5-(23,11,9870) (# 9633) : der= 5-(23,11,9870) and res= 5-(23,12,16920) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,16920) (# 9637) : der= 5-(23,11,9870) and res= 5-(23,12,16920) - the given design is the residual.
• design 6-(24,12,9870) (# 9639) with respect to smaller t

# 9637: 5-(23,12,16920)

• clan: 7-(24,12,3290), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,8694) (# 9631)
• supplementary design of 6-(23,12,5796) (# 9638) with respect to smaller t
• residual design of 6-(24,12,9870) (# 9639)
• design 6-(23,12,6580) (# 9641) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,10340) (# 9643) : der= 5-(22,11,6580) and res= 5-(22,12,10340) - the given design is the residual.

# 9638: 6-(23,12,5796)

• clan: 7-(24,12,2898), 1 times residual
• residual design of 7-(24,12,2898) (# 9632)
• residual design of supplementary of 7-(24,12,3290) (# 9644)

# 9639: 6-(24,12,9870)

• clan: 7-(24,12,3290), 1 times reduced t
• supplementary design of 7-(24,12,2898) (# 9632) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3290) (# 9640)
• Tran van Trung construction (right) for 6-(23,11,3290) (# 9640) : der= 6-(23,11,3290) and res= 6-(23,12,6580) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6580) (# 9641) : der= 6-(23,11,3290) and res= 6-(23,12,6580) - the given design is the residual.
• design 7-(24,12,3290) (# 9644) with respect to smaller t

# 9640: 6-(23,11,3290)

• clan: 7-(24,12,3290), 1 times derived
• derived from supplementary of 7-(24,12,2898) (# 9632)
• derived from 7-(24,12,3290) (# 9644)

# 9641: 6-(23,12,6580)

• clan: 7-(24,12,3290), 1 times residual
• residual design of supplementary of 7-(24,12,2898) (# 9632)
• residual design of 7-(24,12,3290) (# 9644)

# 9642: 5-(22,12,9108)

• clan: 7-(24,12,2898), 2 times residual
• residual design of 6-(23,12,5796) (# 9638)
• residual design of supplementary of 6-(23,12,6580) (# 9641)

# 9643: 5-(22,12,10340)

• clan: 7-(24,12,3290), 2 times residual
• residual design of supplementary of 6-(23,12,5796) (# 9638)
• residual design of 6-(23,12,6580) (# 9641)

# 9644: 7-(24,12,3290)

• clan: 7-(24,12,3290)
• Alltop construction for design 6-(23,11,3290) (# 9640)

# 9645: 6-(23,11,2912)

• clan: 15-(32,16,8), 5 times derived, 4 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+ $ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,2912) (# 9647)
• derived from supplementary of 7-(24,12,3276) (# 9660)
• $ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 9646: 6-(24,12,8736)

• clan: 15-(32,16,8), 1 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 6-(23,11,2912) (# 9645)
• design 7-(24,12,2912) (# 9647) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5824) (# 9652) : der= 6-(23,11,2912) and res= 6-(23,12,5824) - the given design is the residual.
• supplementary design of 7-(24,12,3276) (# 9660) with respect to smaller t

# 9647: 7-(24,12,2912)

• clan: 15-(32,16,8), 4 times derived, 4 times residual
• Alltop construction for design 6-(23,11,2912) (# 9645)

# 9648: 6-(24,11,4032)

• clan: 15-(32,16,8), 1 times reduced t, 5 times derived, 3 times residual
• Tran van Trung construction (left) for 6-(23,11,2912) (# 9645) : der= 6-(23,10,1120) and res= 6-(23,11,2912) - the given design is the residual.

# 9649: 5-(23,12,14976)

• clan: 15-(32,16,8), 1 times reduced t, 4 times derived, 5 times residual
• residual design of 6-(24,12,8736) (# 9646)
• design 6-(23,12,5824) (# 9652) with respect to smaller t
• residual design of supplementary of 6-(24,12,9828) (# 9653)
• supplementary design of 6-(23,12,6552) (# 9655) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,9152) (# 9658) : der= 5-(22,11,5824) and res= 5-(22,12,9152) - the given design is the residual.

# 9650: 5-(23,12,16848)

• clan: 15-(32,16,9), 1 times reduced t, 4 times derived, 5 times residual
• residual design of supplementary of 6-(24,12,8736) (# 9646)
• supplementary design of 6-(23,12,5824) (# 9652) with respect to smaller t
• residual design of 6-(24,12,9828) (# 9653)
• design 6-(23,12,6552) (# 9655) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,10296) (# 9659) : der= 5-(22,11,6552) and res= 5-(22,12,10296) - the given design is the residual.

# 9651: 6-(25,12,12768)

• clan: 15-(32,16,8), 2 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 6-(24,12,8736) (# 9646) : der= 6-(24,11,4032) and res= 6-(24,12,8736) - the given design is the residual.
• Tran van Trung construction (right) for 6-(24,11,4032) (# 9648) : der= 6-(24,11,4032) and res= 6-(24,12,8736) - the given design is the derived.
• derived from 7-(26,13,12768) (# 9657)
• derived from supplementary of 7-(26,13,14364) (# 9669)

# 9652: 6-(23,12,5824)

• clan: 15-(32,16,8), 4 times derived, 5 times residual
• residual design of 7-(24,12,2912) (# 9647)
• residual design of supplementary of 7-(24,12,3276) (# 9660)

# 9653: 6-(24,12,9828)

• clan: 15-(32,16,9), 1 times reduced t, 4 times derived, 4 times residual
• supplementary design of 7-(24,12,2912) (# 9647) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3276) (# 9654)
• Tran van Trung construction (right) for 6-(23,11,3276) (# 9654) : der= 6-(23,11,3276) and res= 6-(23,12,6552) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6552) (# 9655) : der= 6-(23,11,3276) and res= 6-(23,12,6552) - the given design is the residual.
• design 7-(24,12,3276) (# 9660) with respect to smaller t

# 9654: 6-(23,11,3276)

• clan: 15-(32,16,9), 5 times derived, 4 times residual
• derived from supplementary of 7-(24,12,2912) (# 9647)
• derived from 7-(24,12,3276) (# 9660)

# 9655: 6-(23,12,6552)

• clan: 15-(32,16,9), 4 times derived, 5 times residual
• residual design of supplementary of 7-(24,12,2912) (# 9647)
• residual design of 7-(24,12,3276) (# 9660)

# 9656: 6-(26,13,36480)

• clan: 15-(32,16,8), 3 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 6-(25,12,12768) (# 9651)
• design 7-(26,13,12768) (# 9657) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,13,23712) (# 9663) : der= 6-(25,12,12768) and res= 6-(25,13,23712) - the given design is the residual.
• supplementary design of 7-(26,13,14364) (# 9669) with respect to smaller t

# 9657: 7-(26,13,12768)

• clan: 15-(32,16,8), 2 times reduced t, 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,12768) (# 9651)

# 9658: 5-(22,12,9152)

• clan: 15-(32,16,8), 4 times derived, 6 times residual
• residual design of 6-(23,12,5824) (# 9652)
• residual design of supplementary of 6-(23,12,6552) (# 9655)

# 9659: 5-(22,12,10296)

• clan: 15-(32,16,9), 4 times derived, 6 times residual
• residual design of supplementary of 6-(23,12,5824) (# 9652)
• residual design of 6-(23,12,6552) (# 9655)

# 9660: 7-(24,12,3276)

• clan: 15-(32,16,9), 4 times derived, 4 times residual
• Alltop construction for design 6-(23,11,3276) (# 9654)

# 9661: 5-(25,13,59280)

• clan: 15-(32,16,8), 3 times reduced t, 3 times derived, 4 times residual
• residual design of 6-(26,13,36480) (# 9656)
• design 6-(25,13,23712) (# 9663) with respect to smaller t
• residual design of supplementary of 6-(26,13,41040) (# 9664)
• supplementary design of 6-(25,13,26676) (# 9666) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,35568) (# 9667) : der= 5-(24,12,23712) and res= 5-(24,13,35568) - the given design is the residual.

# 9662: 5-(25,13,66690)

• clan: 15-(32,16,9), 3 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 6-(26,13,36480) (# 9656)
• supplementary design of 6-(25,13,23712) (# 9663) with respect to smaller t
• residual design of 6-(26,13,41040) (# 9664)
• design 6-(25,13,26676) (# 9666) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,40014) (# 9668) : der= 5-(24,12,26676) and res= 5-(24,13,40014) - the given design is the residual.

# 9663: 6-(25,13,23712)

• clan: 15-(32,16,8), 2 times reduced t, 3 times derived, 4 times residual
• residual design of 7-(26,13,12768) (# 9657)
• residual design of supplementary of 7-(26,13,14364) (# 9669)

# 9664: 6-(26,13,41040)

• clan: 15-(32,16,9), 3 times reduced t, 3 times derived, 3 times residual
• supplementary design of 7-(26,13,12768) (# 9657) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(25,12,14364) (# 9665)
• Tran van Trung construction (right) for 6-(25,12,14364) (# 9665) : der= 6-(25,12,14364) and res= 6-(25,13,26676) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,13,26676) (# 9666) : der= 6-(25,12,14364) and res= 6-(25,13,26676) - the given design is the residual.
• design 7-(26,13,14364) (# 9669) with respect to smaller t

# 9665: 6-(25,12,14364)

• clan: 15-(32,16,9), 2 times reduced t, 4 times derived, 3 times residual
• derived from supplementary of 7-(26,13,12768) (# 9657)
• derived from 7-(26,13,14364) (# 9669)
• Tran van Trung construction (right) for 6-(24,11,4536) (# 13176) : der= 6-(24,11,4536) and res= 6-(24,12,9828) - the given design is the derived.

# 9666: 6-(25,13,26676)

• clan: 15-(32,16,9), 2 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 7-(26,13,12768) (# 9657)
• residual design of 7-(26,13,14364) (# 9669)

# 9667: 5-(24,13,35568)

• clan: 15-(32,16,8), 2 times reduced t, 3 times derived, 5 times residual
• residual design of 6-(25,13,23712) (# 9663)
• residual design of supplementary of 6-(25,13,26676) (# 9666)

# 9668: 5-(24,13,40014)

• clan: 15-(32,16,9), 2 times reduced t, 3 times derived, 5 times residual
• residual design of supplementary of 6-(25,13,23712) (# 9663)
• residual design of 6-(25,13,26676) (# 9666)

# 9669: 7-(26,13,14364)

• clan: 15-(32,16,9), 2 times reduced t, 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,14364) (# 9665)

# 9670: 6-(23,11,2982)

• clan: 7-(24,12,2982), 1 times derived
• $ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+
• derived from 7-(24,12,2982) (# 9674)
• derived from supplementary of 7-(24,12,3206) (# 9686)

# 9671: 5-(23,11,8946)

• clan: 7-(24,12,2982), 1 times reduced t, 1 times derived
• design 6-(23,11,2982) (# 9670) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,2982) (# 9672) : der= 5-(22,10,2982) and res= 5-(22,11,5964) - the given design is the derived.
• derived from 6-(24,12,8946) (# 9673)
• derived from supplementary of 6-(24,12,9618) (# 9681)
• supplementary design of 6-(23,11,3206) (# 9682) with respect to smaller t

# 9672: 5-(22,10,2982)

• clan: 7-(24,12,2982), 2 times derived
• derived from 6-(23,11,2982) (# 9670)
• derived from supplementary of 6-(23,11,3206) (# 9682)

# 9673: 6-(24,12,8946)

• clan: 7-(24,12,2982), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2982) (# 9670)
• design 7-(24,12,2982) (# 9674) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5964) (# 9680) : der= 6-(23,11,2982) and res= 6-(23,12,5964) - the given design is the residual.
• supplementary design of 7-(24,12,3206) (# 9686) with respect to smaller t

# 9674: 7-(24,12,2982)

• clan: 7-(24,12,2982)
• Alltop construction for design 6-(23,11,2982) (# 9670)

# 9675: 5-(23,11,9618)

• clan: 7-(24,12,3206), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2982) (# 9670) with respect to smaller t
• derived from supplementary of 6-(24,12,8946) (# 9673)
• Tran van Trung construction (right) for 5-(22,10,3206) (# 9676) : der= 5-(22,10,3206) and res= 5-(22,11,6412) - the given design is the derived.
• derived from 6-(24,12,9618) (# 9681)
• design 6-(23,11,3206) (# 9682) with respect to smaller t

# 9676: 5-(22,10,3206)

• clan: 7-(24,12,3206), 2 times derived
• derived from supplementary of 6-(23,11,2982) (# 9670)
• derived from 6-(23,11,3206) (# 9682)

# 9677: 5-(23,12,15336)

• clan: 7-(24,12,2982), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,8946) (# 9673)
• design 6-(23,12,5964) (# 9680) with respect to smaller t
• residual design of supplementary of 6-(24,12,9618) (# 9681)
• supplementary design of 6-(23,12,6412) (# 9683) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,9372) (# 9684) : der= 5-(22,11,5964) and res= 5-(22,12,9372) - the given design is the residual.

# 9678: 5-(24,12,26106)

• clan: 7-(24,12,3206), 2 times reduced t
• supplementary design of 6-(24,12,8946) (# 9673) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,9618) (# 9675)
• Tran van Trung construction (right) for 5-(23,11,9618) (# 9675) : der= 5-(23,11,9618) and res= 5-(23,12,16488) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,16488) (# 9679) : der= 5-(23,11,9618) and res= 5-(23,12,16488) - the given design is the residual.
• design 6-(24,12,9618) (# 9681) with respect to smaller t

# 9679: 5-(23,12,16488)

• clan: 7-(24,12,3206), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,8946) (# 9673)
• supplementary design of 6-(23,12,5964) (# 9680) with respect to smaller t
• residual design of 6-(24,12,9618) (# 9681)
• design 6-(23,12,6412) (# 9683) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,10076) (# 9685) : der= 5-(22,11,6412) and res= 5-(22,12,10076) - the given design is the residual.

# 9680: 6-(23,12,5964)

• clan: 7-(24,12,2982), 1 times residual
• residual design of 7-(24,12,2982) (# 9674)
• residual design of supplementary of 7-(24,12,3206) (# 9686)

# 9681: 6-(24,12,9618)

• clan: 7-(24,12,3206), 1 times reduced t
• supplementary design of 7-(24,12,2982) (# 9674) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3206) (# 9682)
• Tran van Trung construction (right) for 6-(23,11,3206) (# 9682) : der= 6-(23,11,3206) and res= 6-(23,12,6412) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6412) (# 9683) : der= 6-(23,11,3206) and res= 6-(23,12,6412) - the given design is the residual.
• design 7-(24,12,3206) (# 9686) with respect to smaller t

# 9682: 6-(23,11,3206)

• clan: 7-(24,12,3206), 1 times derived
• derived from supplementary of 7-(24,12,2982) (# 9674)
• derived from 7-(24,12,3206) (# 9686)

# 9683: 6-(23,12,6412)

• clan: 7-(24,12,3206), 1 times residual
• residual design of supplementary of 7-(24,12,2982) (# 9674)
• residual design of 7-(24,12,3206) (# 9686)

# 9684: 5-(22,12,9372)

• clan: 7-(24,12,2982), 2 times residual
• residual design of 6-(23,12,5964) (# 9680)
• residual design of supplementary of 6-(23,12,6412) (# 9683)

# 9685: 5-(22,12,10076)

• clan: 7-(24,12,3206), 2 times residual
• residual design of supplementary of 6-(23,12,5964) (# 9680)
• residual design of 6-(23,12,6412) (# 9683)

# 9686: 7-(24,12,3206)

• clan: 7-(24,12,3206)
• Alltop construction for design 6-(23,11,3206) (# 9682)

# 9687: 6-(23,11,3038)

• clan: 7-(24,12,3038), 1 times derived
• $ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x
• derived from 7-(24,12,3038) (# 9691)
• derived from supplementary of 7-(24,12,3150) (# 9703)
• ${\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+ $ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+

# 9688: 5-(23,11,9114)

• clan: 7-(24,12,3038), 1 times reduced t, 1 times derived
• design 6-(23,11,3038) (# 9687) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,3038) (# 9689) : der= 5-(22,10,3038) and res= 5-(22,11,6076) - the given design is the derived.
• derived from 6-(24,12,9114) (# 9690)
• derived from supplementary of 6-(24,12,9450) (# 9698)
• supplementary design of 6-(23,11,3150) (# 9699) with respect to smaller t

# 9689: 5-(22,10,3038)

• clan: 7-(24,12,3038), 2 times derived
• derived from 6-(23,11,3038) (# 9687)
• derived from supplementary of 6-(23,11,3150) (# 9699)

# 9690: 6-(24,12,9114)

• clan: 7-(24,12,3038), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,3038) (# 9687)
• design 7-(24,12,3038) (# 9691) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,6076) (# 9697) : der= 6-(23,11,3038) and res= 6-(23,12,6076) - the given design is the residual.
• supplementary design of 7-(24,12,3150) (# 9703) with respect to smaller t

# 9691: 7-(24,12,3038)

• clan: 7-(24,12,3038)
• Alltop construction for design 6-(23,11,3038) (# 9687)

# 9692: 5-(23,11,9450)

• clan: 7-(24,12,3150), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,3038) (# 9687) with respect to smaller t
• derived from supplementary of 6-(24,12,9114) (# 9690)
• Tran van Trung construction (right) for 5-(22,10,3150) (# 9693) : der= 5-(22,10,3150) and res= 5-(22,11,6300) - the given design is the derived.
• derived from 6-(24,12,9450) (# 9698)
• design 6-(23,11,3150) (# 9699) with respect to smaller t

# 9693: 5-(22,10,3150)

• clan: 7-(24,12,3150), 2 times derived
• derived from supplementary of 6-(23,11,3038) (# 9687)
• derived from 6-(23,11,3150) (# 9699)

# 9694: 5-(23,12,15624)

• clan: 7-(24,12,3038), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,9114) (# 9690)
• design 6-(23,12,6076) (# 9697) with respect to smaller t
• residual design of supplementary of 6-(24,12,9450) (# 9698)
• supplementary design of 6-(23,12,6300) (# 9700) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,9548) (# 9701) : der= 5-(22,11,6076) and res= 5-(22,12,9548) - the given design is the residual.

# 9695: 5-(24,12,25650)

• clan: 7-(24,12,3150), 2 times reduced t
• supplementary design of 6-(24,12,9114) (# 9690) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,9450) (# 9692)
• Tran van Trung construction (right) for 5-(23,11,9450) (# 9692) : der= 5-(23,11,9450) and res= 5-(23,12,16200) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,16200) (# 9696) : der= 5-(23,11,9450) and res= 5-(23,12,16200) - the given design is the residual.
• design 6-(24,12,9450) (# 9698) with respect to smaller t

# 9696: 5-(23,12,16200)

• clan: 7-(24,12,3150), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,9114) (# 9690)
• supplementary design of 6-(23,12,6076) (# 9697) with respect to smaller t
• residual design of 6-(24,12,9450) (# 9698)
• design 6-(23,12,6300) (# 9700) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,9900) (# 9702) : der= 5-(22,11,6300) and res= 5-(22,12,9900) - the given design is the residual.

# 9697: 6-(23,12,6076)

• clan: 7-(24,12,3038), 1 times residual
• residual design of 7-(24,12,3038) (# 9691)
• residual design of supplementary of 7-(24,12,3150) (# 9703)

# 9698: 6-(24,12,9450)

• clan: 7-(24,12,3150), 1 times reduced t
• supplementary design of 7-(24,12,3038) (# 9691) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3150) (# 9699)
• Tran van Trung construction (right) for 6-(23,11,3150) (# 9699) : der= 6-(23,11,3150) and res= 6-(23,12,6300) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6300) (# 9700) : der= 6-(23,11,3150) and res= 6-(23,12,6300) - the given design is the residual.
• design 7-(24,12,3150) (# 9703) with respect to smaller t

# 9699: 6-(23,11,3150)

• clan: 7-(24,12,3150), 1 times derived
• derived from supplementary of 7-(24,12,3038) (# 9691)
• derived from 7-(24,12,3150) (# 9703)

created: Fri Oct 23 11:12:15 CEST 2009