# 15800: 5-(27,14,227920)

- clan: 13-(32,16,444), 3 times reduced t, 2 times derived, 3 times residual
- residual design of 6-(28,14,146520) (# 15792)
- design 6-(27,14,93240) (# 15794) with respect to smaller t
- residual design of supplementary of 6-(28,14,173250) (# 15795)
- supplementary design of 6-(27,14,110250) (# 15797) with respect to smaller t
- Tran van Trung construction (right) for 5-(26,13,93240) (# 15805) : der= 5-(26,13,93240) and res= 5-(26,14,134680) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,14,134680) (# 15808) : der= 5-(26,13,93240) and res= 5-(26,14,134680) - the given design is the residual.

- clan: 13-(32,16,525), 4 times reduced t, 2 times derived, 2 times residual
- supplementary design of 6-(28,14,146520) (# 15792) with respect to smaller t
- design 6-(28,14,173250) (# 15795) with respect to smaller t
- Tran van Trung construction with complementary design for 5-(27,13,173250) (# 15802)
- Tran van Trung construction (right) for 5-(27,13,173250) (# 15802) : der= 5-(27,13,173250) and res= 5-(27,14,269500) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,14,269500) (# 15803) : der= 5-(27,13,173250) and res= 5-(27,14,269500) - the given design is the residual.

- clan: 13-(32,16,525), 3 times reduced t, 3 times derived, 2 times residual
- derived from supplementary of 6-(28,14,146520) (# 15792)
- supplementary design of 6-(27,13,53280) (# 15793) with respect to smaller t
- derived from 6-(28,14,173250) (# 15795)
- design 6-(27,13,63000) (# 15796) with respect to smaller t
- Tran van Trung construction (right) for 5-(26,12,63000) (# 15806) : der= 5-(26,12,63000) and res= 5-(26,13,110250) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,13,110250) (# 15807) : der= 5-(26,12,63000) and res= 5-(26,13,110250) - the given design is the residual.

- clan: 13-(32,16,525), 3 times reduced t, 2 times derived, 3 times residual
- residual design of supplementary of 6-(28,14,146520) (# 15792)
- supplementary design of 6-(27,14,93240) (# 15794) with respect to smaller t
- residual design of 6-(28,14,173250) (# 15795)
- design 6-(27,14,110250) (# 15797) with respect to smaller t
- Tran van Trung construction (right) for 5-(26,13,110250) (# 15807) : der= 5-(26,13,110250) and res= 5-(26,14,159250) - the given design is the derived.
- Tran van Trung construction (left) for 5-(26,14,159250) (# 15809) : der= 5-(26,13,110250) and res= 5-(26,14,159250) - the given design is the residual.

- clan: 13-(32,16,444), 2 times reduced t, 4 times derived, 2 times residual
- derived from 6-(27,13,53280) (# 15793)
- derived from supplementary of 6-(27,13,63000) (# 15796)

- clan: 13-(32,16,444), 2 times reduced t, 3 times derived, 3 times residual
- residual design of 6-(27,13,53280) (# 15793)
- derived from 6-(27,14,93240) (# 15794)
- residual design of supplementary of 6-(27,13,63000) (# 15796)
- derived from supplementary of 6-(27,14,110250) (# 15797)

- clan: 13-(32,16,525), 2 times reduced t, 4 times derived, 2 times residual
- derived from supplementary of 6-(27,13,53280) (# 15793)
- derived from 6-(27,13,63000) (# 15796)

- clan: 13-(32,16,525), 2 times reduced t, 3 times derived, 3 times residual
- residual design of supplementary of 6-(27,13,53280) (# 15793)
- derived from supplementary of 6-(27,14,93240) (# 15794)
- residual design of 6-(27,13,63000) (# 15796)
- derived from 6-(27,14,110250) (# 15797)

- clan: 13-(32,16,444), 2 times reduced t, 2 times derived, 4 times residual
- residual design of 6-(27,14,93240) (# 15794)
- residual design of supplementary of 6-(27,14,110250) (# 15797)

- clan: 13-(32,16,525), 2 times reduced t, 2 times derived, 4 times residual
- residual design of supplementary of 6-(27,14,93240) (# 15794)
- residual design of 6-(27,14,110250) (# 15797)

- clan: 13-(32,16,525), 2 times reduced t, 2 times derived, 2 times residual
- Alltop construction for design 6-(27,13,63000) (# 15796)

- clan: 13-(32,16,462), 2 times reduced t, 2 times derived, 2 times residual
- $Sp(6,2)$
- Alltop construction for design 6-(27,13,55440) (# 15813)

- clan: 13-(32,16,462), 3 times reduced t, 2 times derived, 2 times residual
- design 7-(28,14,55440) (# 15811) with respect to smaller t
- Tran van Trung construction with complementary design for 6-(27,13,55440) (# 15813)
- Tran van Trung construction (right) for 6-(27,13,55440) (# 15813) : der= 6-(27,13,55440) and res= 6-(27,14,97020) - the given design is the derived.
- Tran van Trung construction (left) for 6-(27,14,97020) (# 15814) : der= 6-(27,13,55440) and res= 6-(27,14,97020) - the given design is the residual.
- supplementary design of 7-(28,14,60840) (# 15825) with respect to smaller t

- clan: 13-(32,16,462), 2 times reduced t, 3 times derived, 2 times residual
- derived from 7-(28,14,55440) (# 15811)
- derived from supplementary of 7-(28,14,60840) (# 15825)

- clan: 13-(32,16,462), 2 times reduced t, 2 times derived, 3 times residual
- residual design of 7-(28,14,55440) (# 15811)
- residual design of supplementary of 7-(28,14,60840) (# 15825)

- clan: 13-(32,16,507), 3 times reduced t, 2 times derived, 2 times residual
- supplementary design of 7-(28,14,55440) (# 15811) with respect to smaller t
- Tran van Trung construction with complementary design for 6-(27,13,60840) (# 15816)
- Tran van Trung construction (right) for 6-(27,13,60840) (# 15816) : der= 6-(27,13,60840) and res= 6-(27,14,106470) - the given design is the derived.
- Tran van Trung construction (left) for 6-(27,14,106470) (# 15817) : der= 6-(27,13,60840) and res= 6-(27,14,106470) - the given design is the residual.
- design 7-(28,14,60840) (# 15825) with respect to smaller t

- clan: 13-(32,16,507), 2 times reduced t, 3 times derived, 2 times residual
- derived from supplementary of 7-(28,14,55440) (# 15811)
- derived from 7-(28,14,60840) (# 15825)

- clan: 13-(32,16,507), 2 times reduced t, 2 times derived, 3 times residual
- residual design of supplementary of 7-(28,14,55440) (# 15811)
- residual design of 7-(28,14,60840) (# 15825)

- clan: 13-(32,16,462), 3 times reduced t, 2 times derived, 3 times residual
- residual design of 6-(28,14,152460) (# 15812)
- design 6-(27,14,97020) (# 15814) with respect to smaller t
- residual design of supplementary of 6-(28,14,167310) (# 15815)
- supplementary design of 6-(27,14,106470) (# 15817) with respect to smaller t
- Tran van Trung construction (left) for 5-(26,14,140140) (# 15823) : der= 5-(26,13,97020) and res= 5-(26,14,140140) - the given design is the residual.

- clan: 13-(32,16,507), 4 times reduced t, 2 times derived, 2 times residual
- supplementary design of 6-(28,14,152460) (# 15812) with respect to smaller t
- design 6-(28,14,167310) (# 15815) with respect to smaller t
- Tran van Trung construction with complementary design for 5-(27,13,167310) (# 15820)
- Tran van Trung construction (right) for 5-(27,13,167310) (# 15820) : der= 5-(27,13,167310) and res= 5-(27,14,260260) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,14,260260) (# 15821) : der= 5-(27,13,167310) and res= 5-(27,14,260260) - the given design is the residual.

- clan: 13-(32,16,507), 3 times reduced t, 3 times derived, 2 times residual
- derived from supplementary of 6-(28,14,152460) (# 15812)
- supplementary design of 6-(27,13,55440) (# 15813) with respect to smaller t
- derived from 6-(28,14,167310) (# 15815)
- design 6-(27,13,60840) (# 15816) with respect to smaller t
- Tran van Trung construction (right) for 5-(26,12,60840) (# 15822) : der= 5-(26,12,60840) and res= 5-(26,13,106470) - the given design is the derived.

- clan: 13-(32,16,507), 3 times reduced t, 2 times derived, 3 times residual
- residual design of supplementary of 6-(28,14,152460) (# 15812)
- supplementary design of 6-(27,14,97020) (# 15814) with respect to smaller t
- residual design of 6-(28,14,167310) (# 15815)
- design 6-(27,14,106470) (# 15817) with respect to smaller t
- Tran van Trung construction (left) for 5-(26,14,153790) (# 15824) : der= 5-(26,13,106470) and res= 5-(26,14,153790) - the given design is the residual.

- clan: 13-(32,16,507), 2 times reduced t, 4 times derived, 2 times residual
- derived from supplementary of 6-(27,13,55440) (# 15813)
- derived from 6-(27,13,60840) (# 15816)

- clan: 13-(32,16,462), 2 times reduced t, 2 times derived, 4 times residual
- residual design of 6-(27,14,97020) (# 15814)
- residual design of supplementary of 6-(27,14,106470) (# 15817)

- clan: 13-(32,16,507), 2 times reduced t, 2 times derived, 4 times residual
- residual design of supplementary of 6-(27,14,97020) (# 15814)
- residual design of 6-(27,14,106470) (# 15817)

- clan: 13-(32,16,507), 2 times reduced t, 2 times derived, 2 times residual
- Alltop construction for design 6-(27,13,60840) (# 15816)

- clan: 9-(31,10,6), 2 times residual
- $P\Gamma L(2,27)+$ (>= 2500 isom. types) \cite{Bettenetal97b}

- clan: 9-(31,10,6), 1 times reduced t, 2 times residual
- design 7-(29,10,420) (# 15826) with respect to smaller t
- Tran van Trung construction (right) for 6-(28,9,420) (# 15828) : der= 6-(28,9,420) and res= 6-(28,10,1995) - the given design is the derived.
- Tran van Trung construction (left) for 6-(28,10,1995) (# 15829) : der= 6-(28,9,420) and res= 6-(28,10,1995) - the given design is the residual.

- clan: 9-(31,10,6), 1 times derived, 2 times residual
- derived from 7-(29,10,420) (# 15826)

- clan: 9-(31,10,6), 3 times residual
- residual design of 7-(29,10,420) (# 15826)

- clan: 9-(31,10,16), 1 times reduced t, 2 times residual
- supplementary design of 7-(29,10,420) (# 15826) with respect to smaller t
- Tran van Trung construction (right) for 6-(28,9,1120) (# 15831) : der= 6-(28,9,1120) and res= 6-(28,10,5320) - the given design is the derived.
- Tran van Trung construction (left) for 6-(28,10,5320) (# 15832) : der= 6-(28,9,1120) and res= 6-(28,10,5320) - the given design is the residual.

- clan: 9-(31,10,16), 1 times derived, 2 times residual
- derived from supplementary of 7-(29,10,420) (# 15826)

- clan: 9-(31,10,16), 3 times residual
- residual design of supplementary of 7-(29,10,420) (# 15826)

- clan: 9-(31,10,6), 1 times reduced t, 3 times residual
- residual design of 6-(29,10,2415) (# 15827)
- design 6-(28,10,1995) (# 15829) with respect to smaller t
- residual design of supplementary of 6-(29,10,6440) (# 15830)
- supplementary design of 6-(28,10,5320) (# 15832) with respect to smaller t
- Tran van Trung construction (left) for 5-(27,10,7182) (# 15836) : der= 5-(27,9,1995) and res= 5-(27,10,7182) - the given design is the residual.

- clan: 9-(31,10,16), 1 times reduced t, 3 times residual
- residual design of supplementary of 6-(29,10,2415) (# 15827)
- supplementary design of 6-(28,10,1995) (# 15829) with respect to smaller t
- residual design of 6-(29,10,6440) (# 15830)
- design 6-(28,10,5320) (# 15832) with respect to smaller t
- Tran van Trung construction (right) for 5-(27,9,5320) (# 15835) : der= 5-(27,9,5320) and res= 5-(27,10,19152) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,10,19152) (# 15837) : der= 5-(27,9,5320) and res= 5-(27,10,19152) - the given design is the residual.

- clan: 9-(31,10,16), 1 times derived, 3 times residual
- residual design of supplementary of 6-(28,9,420) (# 15828)
- derived from supplementary of 6-(28,10,1995) (# 15829)
- residual design of 6-(28,9,1120) (# 15831)
- derived from 6-(28,10,5320) (# 15832)

- clan: 9-(31,10,6), 4 times residual
- residual design of 6-(28,10,1995) (# 15829)
- residual design of supplementary of 6-(28,10,5320) (# 15832)

- clan: 9-(31,10,16), 4 times residual
- residual design of supplementary of 6-(28,10,1995) (# 15829)
- residual design of 6-(28,10,5320) (# 15832)

- clan: 17-(36,18,6), 3 times reduced t, 7 times derived
- $P\Gamma L(2,27)+$ (>= 1 isom. types)

- clan: 17-(36,18,6), 4 times reduced t, 7 times derived
- design 7-(29,11,2310) (# 15838) with respect to smaller t
- Tran van Trung construction (right) for 6-(28,10,2310) (# 15840) : der= 6-(28,10,2310) and res= 6-(28,11,8316) - the given design is the derived.
- Tran van Trung construction (left) for 6-(28,11,8316) (# 15841) : der= 6-(28,10,2310) and res= 6-(28,11,8316) - the given design is the residual.

- clan: 17-(36,18,6), 3 times reduced t, 8 times derived
- derived from 7-(29,11,2310) (# 15838)

- clan: 17-(36,18,6), 3 times reduced t, 7 times derived, 1 times residual
- residual design of 7-(29,11,2310) (# 15838)

- clan: 17-(36,18,13), 4 times reduced t, 7 times derived
- supplementary design of 7-(29,11,2310) (# 15838) with respect to smaller t
- Tran van Trung construction (right) for 6-(28,10,5005) (# 15843) : der= 6-(28,10,5005) and res= 6-(28,11,18018) - the given design is the derived.
- Tran van Trung construction (left) for 6-(28,11,18018) (# 15844) : der= 6-(28,10,5005) and res= 6-(28,11,18018) - the given design is the residual.

- clan: 17-(36,18,13), 3 times reduced t, 8 times derived
- derived from supplementary of 7-(29,11,2310) (# 15838)

- clan: 17-(36,18,13), 3 times reduced t, 7 times derived, 1 times residual
- residual design of supplementary of 7-(29,11,2310) (# 15838)

- clan: 17-(36,18,6), 5 times reduced t, 7 times derived
- design 6-(29,11,10626) (# 15839) with respect to smaller t
- supplementary design of 6-(29,11,23023) (# 15842) with respect to smaller t
- Tran van Trung construction (left) for 5-(28,11,31878) (# 15846) : der= 5-(28,10,10626) and res= 5-(28,11,31878) - the given design is the residual.

- clan: 17-(36,18,6), 4 times reduced t, 7 times derived, 1 times residual
- residual design of 6-(29,11,10626) (# 15839)
- design 6-(28,11,8316) (# 15841) with respect to smaller t
- residual design of supplementary of 6-(29,11,23023) (# 15842)
- supplementary design of 6-(28,11,18018) (# 15844) with respect to smaller t
- Tran van Trung construction (left) for 5-(27,11,23562) (# 15851) : der= 5-(27,10,8316) and res= 5-(27,11,23562) - the given design is the residual.

- clan: 17-(36,18,13), 5 times reduced t, 7 times derived
- supplementary design of 6-(29,11,10626) (# 15839) with respect to smaller t
- design 6-(29,11,23023) (# 15842) with respect to smaller t
- Tran van Trung construction (right) for 5-(28,10,23023) (# 15848) : der= 5-(28,10,23023) and res= 5-(28,11,69069) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,11,69069) (# 15849) : der= 5-(28,10,23023) and res= 5-(28,11,69069) - the given design is the residual.

- clan: 17-(36,18,13), 4 times reduced t, 8 times derived
- derived from supplementary of 6-(29,11,10626) (# 15839)
- supplementary design of 6-(28,10,2310) (# 15840) with respect to smaller t
- derived from 6-(29,11,23023) (# 15842)
- design 6-(28,10,5005) (# 15843) with respect to smaller t
- Tran van Trung construction (left) for 5-(27,10,18018) (# 15850) : der= 5-(27,9,5005) and res= 5-(27,10,18018) - the given design is the residual.

- clan: 17-(36,18,13), 4 times reduced t, 7 times derived, 1 times residual
- residual design of supplementary of 6-(29,11,10626) (# 15839)
- supplementary design of 6-(28,11,8316) (# 15841) with respect to smaller t
- residual design of 6-(29,11,23023) (# 15842)
- design 6-(28,11,18018) (# 15844) with respect to smaller t
- Tran van Trung construction (right) for 5-(27,10,18018) (# 15850) : der= 5-(27,10,18018) and res= 5-(27,11,51051) - the given design is the derived.
- Tran van Trung construction (left) for 5-(27,11,51051) (# 15852) : der= 5-(27,10,18018) and res= 5-(27,11,51051) - the given design is the residual.

- clan: 17-(36,18,13), 3 times reduced t, 8 times derived, 1 times residual
- residual design of supplementary of 6-(28,10,2310) (# 15840)
- derived from supplementary of 6-(28,11,8316) (# 15841)
- residual design of 6-(28,10,5005) (# 15843)
- derived from 6-(28,11,18018) (# 15844)

- clan: 17-(36,18,6), 3 times reduced t, 7 times derived, 2 times residual
- residual design of 6-(28,11,8316) (# 15841)
- residual design of supplementary of 6-(28,11,18018) (# 15844)

- clan: 17-(36,18,13), 3 times reduced t, 7 times derived, 2 times residual
- residual design of supplementary of 6-(28,11,8316) (# 15841)
- residual design of 6-(28,11,18018) (# 15844)

- clan: 8-(31,10,54), 1 times residual
- $P\Gamma L(2,27)\times C_2$ (>= 1 isom. types) % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

- clan: 8-(31,10,54), 1 times reduced t, 1 times residual
- design 7-(30,10,378) (# 15853) with respect to smaller t
- Tran van Trung construction (right) for 6-(29,9,378) (# 15855) : der= 6-(29,9,378) and res= 6-(29,10,1890) - the given design is the derived.
- Tran van Trung construction (left) for 6-(29,10,1890) (# 15856) : der= 6-(29,9,378) and res= 6-(29,10,1890) - the given design is the residual.

- clan: 8-(31,10,54), 1 times derived, 1 times residual
- derived from 7-(30,10,378) (# 15853)

- clan: 8-(31,10,54), 2 times residual
- residual design of 7-(30,10,378) (# 15853)

- clan: 8-(31,10,199), 1 times reduced t, 1 times residual
- supplementary design of 7-(30,10,378) (# 15853) with respect to smaller t
- Tran van Trung construction (right) for 6-(29,9,1393) (# 15858) : der= 6-(29,9,1393) and res= 6-(29,10,6965) - the given design is the derived.
- Tran van Trung construction (left) for 6-(29,10,6965) (# 15859) : der= 6-(29,9,1393) and res= 6-(29,10,6965) - the given design is the residual.

- clan: 8-(31,10,199), 1 times derived, 1 times residual
- derived from supplementary of 7-(30,10,378) (# 15853)

- clan: 8-(31,10,199), 2 times residual
- residual design of supplementary of 7-(30,10,378) (# 15853)

- clan: 8-(31,10,54), 2 times reduced t, 1 times residual
- design 6-(30,10,2268) (# 15854) with respect to smaller t
- supplementary design of 6-(30,10,8358) (# 15857) with respect to smaller t
- Tran van Trung construction (left) for 5-(29,10,9072) (# 15861) : der= 5-(29,9,2268) and res= 5-(29,10,9072) - the given design is the residual.

- clan: 8-(31,10,54), 1 times reduced t, 2 times residual
- residual design of 6-(30,10,2268) (# 15854)
- design 6-(29,10,1890) (# 15856) with respect to smaller t
- residual design of supplementary of 6-(30,10,8358) (# 15857)
- supplementary design of 6-(29,10,6965) (# 15859) with respect to smaller t
- Tran van Trung construction (left) for 5-(28,10,7182) (# 15867) : der= 5-(28,9,1890) and res= 5-(28,10,7182) - the given design is the residual.

- clan: 8-(31,10,199), 2 times reduced t, 1 times residual
- supplementary design of 6-(30,10,2268) (# 15854) with respect to smaller t
- design 6-(30,10,8358) (# 15857) with respect to smaller t
- Tran van Trung construction (right) for 5-(29,9,8358) (# 15863) : der= 5-(29,9,8358) and res= 5-(29,10,33432) - the given design is the derived.
- Tran van Trung construction (left) for 5-(29,10,33432) (# 15864) : der= 5-(29,9,8358) and res= 5-(29,10,33432) - the given design is the residual.

- clan: 8-(31,10,199), 1 times reduced t, 1 times derived, 1 times residual
- derived from supplementary of 6-(30,10,2268) (# 15854)
- supplementary design of 6-(29,9,378) (# 15855) with respect to smaller t
- derived from 6-(30,10,8358) (# 15857)
- design 6-(29,9,1393) (# 15858) with respect to smaller t
- Tran van Trung construction (right) for 5-(28,8,1393) (# 15865) : der= 5-(28,8,1393) and res= 5-(28,9,6965) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,9,6965) (# 15866) : der= 5-(28,8,1393) and res= 5-(28,9,6965) - the given design is the residual.

- clan: 8-(31,10,199), 1 times reduced t, 2 times residual
- residual design of supplementary of 6-(30,10,2268) (# 15854)
- supplementary design of 6-(29,10,1890) (# 15856) with respect to smaller t
- residual design of 6-(30,10,8358) (# 15857)
- design 6-(29,10,6965) (# 15859) with respect to smaller t
- Tran van Trung construction (right) for 5-(28,9,6965) (# 15866) : der= 5-(28,9,6965) and res= 5-(28,10,26467) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,10,26467) (# 15868) : der= 5-(28,9,6965) and res= 5-(28,10,26467) - the given design is the residual.

- clan: 8-(31,10,199), 2 times derived, 1 times residual
- derived from supplementary of 6-(29,9,378) (# 15855)
- derived from 6-(29,9,1393) (# 15858)

- clan: 8-(31,10,199), 1 times derived, 2 times residual
- residual design of supplementary of 6-(29,9,378) (# 15855)
- derived from supplementary of 6-(29,10,1890) (# 15856)
- residual design of 6-(29,9,1393) (# 15858)
- derived from 6-(29,10,6965) (# 15859)

- clan: 8-(31,10,54), 3 times residual
- residual design of 6-(29,10,1890) (# 15856)
- residual design of supplementary of 6-(29,10,6965) (# 15859)

- clan: 8-(31,10,199), 3 times residual
- residual design of supplementary of 6-(29,10,1890) (# 15856)
- residual design of 6-(29,10,6965) (# 15859)

- clan: 8-(31,10,60), 1 times residual
- $P\Gamma L(2,27)\times C_2$ (>= 253 isom. types) % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

- clan: 8-(31,10,60), 1 times reduced t, 1 times residual
- design 7-(30,10,420) (# 15869) with respect to smaller t
- Tran van Trung construction (right) for 6-(29,9,420) (# 15871) : der= 6-(29,9,420) and res= 6-(29,10,2100) - the given design is the derived.
- Tran van Trung construction (left) for 6-(29,10,2100) (# 15872) : der= 6-(29,9,420) and res= 6-(29,10,2100) - the given design is the residual.
- residual design of 7-(31,10,480) (# 16068)

- clan: 8-(31,10,60), 1 times derived, 1 times residual
- derived from 7-(30,10,420) (# 15869)

- clan: 8-(31,10,60), 2 times residual
- residual design of 7-(30,10,420) (# 15869)

- clan: 8-(31,10,193), 1 times reduced t, 1 times residual
- supplementary design of 7-(30,10,420) (# 15869) with respect to smaller t
- Tran van Trung construction (right) for 6-(29,9,1351) (# 15874) : der= 6-(29,9,1351) and res= 6-(29,10,6755) - the given design is the derived.
- Tran van Trung construction (left) for 6-(29,10,6755) (# 15875) : der= 6-(29,9,1351) and res= 6-(29,10,6755) - the given design is the residual.
- residual design of supplementary of 7-(31,10,480) (# 16068)

- clan: 8-(31,10,193), 1 times derived, 1 times residual
- derived from supplementary of 7-(30,10,420) (# 15869)

- clan: 8-(31,10,193), 2 times residual
- residual design of supplementary of 7-(30,10,420) (# 15869)

- clan: 8-(31,10,60), 2 times reduced t, 1 times residual
- design 6-(30,10,2520) (# 15870) with respect to smaller t
- supplementary design of 6-(30,10,8106) (# 15873) with respect to smaller t
- Tran van Trung construction (left) for 5-(29,10,10080) (# 15877) : der= 5-(29,9,2520) and res= 5-(29,10,10080) - the given design is the residual.
- residual design of 6-(31,10,3000) (# 16069)
- residual design of supplementary of 6-(31,10,9650) (# 16071)

- clan: 8-(31,10,60), 1 times reduced t, 2 times residual
- residual design of 6-(30,10,2520) (# 15870)
- design 6-(29,10,2100) (# 15872) with respect to smaller t
- residual design of supplementary of 6-(30,10,8106) (# 15873)
- supplementary design of 6-(29,10,6755) (# 15875) with respect to smaller t
- Tran van Trung construction (left) for 5-(28,10,7980) (# 15883) : der= 5-(28,9,2100) and res= 5-(28,10,7980) - the given design is the residual.

- clan: 8-(31,10,193), 2 times reduced t, 1 times residual
- supplementary design of 6-(30,10,2520) (# 15870) with respect to smaller t
- design 6-(30,10,8106) (# 15873) with respect to smaller t
- Tran van Trung construction (right) for 5-(29,9,8106) (# 15879) : der= 5-(29,9,8106) and res= 5-(29,10,32424) - the given design is the derived.
- Tran van Trung construction (left) for 5-(29,10,32424) (# 15880) : der= 5-(29,9,8106) and res= 5-(29,10,32424) - the given design is the residual.
- residual design of supplementary of 6-(31,10,3000) (# 16069)
- residual design of 6-(31,10,9650) (# 16071)

- clan: 8-(31,10,193), 1 times reduced t, 1 times derived, 1 times residual
- derived from supplementary of 6-(30,10,2520) (# 15870)
- supplementary design of 6-(29,9,420) (# 15871) with respect to smaller t
- derived from 6-(30,10,8106) (# 15873)
- design 6-(29,9,1351) (# 15874) with respect to smaller t
- Tran van Trung construction (right) for 5-(28,8,1351) (# 15881) : der= 5-(28,8,1351) and res= 5-(28,9,6755) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,9,6755) (# 15882) : der= 5-(28,8,1351) and res= 5-(28,9,6755) - the given design is the residual.
- residual design of supplementary of 6-(30,9,480) (# 16070)
- residual design of 6-(30,9,1544) (# 16072)

- clan: 8-(31,10,193), 1 times reduced t, 2 times residual
- residual design of supplementary of 6-(30,10,2520) (# 15870)
- supplementary design of 6-(29,10,2100) (# 15872) with respect to smaller t
- residual design of 6-(30,10,8106) (# 15873)
- design 6-(29,10,6755) (# 15875) with respect to smaller t
- Tran van Trung construction (right) for 5-(28,9,6755) (# 15882) : der= 5-(28,9,6755) and res= 5-(28,10,25669) - the given design is the derived.
- Tran van Trung construction (left) for 5-(28,10,25669) (# 15884) : der= 5-(28,9,6755) and res= 5-(28,10,25669) - the given design is the residual.

- clan: 8-(31,10,193), 2 times derived, 1 times residual
- derived from supplementary of 6-(29,9,420) (# 15871)
- derived from 6-(29,9,1351) (# 15874)

- clan: 8-(31,10,193), 1 times derived, 2 times residual
- residual design of supplementary of 6-(29,9,420) (# 15871)
- derived from supplementary of 6-(29,10,2100) (# 15872)
- residual design of 6-(29,9,1351) (# 15874)
- derived from 6-(29,10,6755) (# 15875)

- clan: 8-(31,10,60), 3 times residual
- residual design of 6-(29,10,2100) (# 15872)
- residual design of supplementary of 6-(29,10,6755) (# 15875)

- clan: 8-(31,10,193), 3 times residual
- residual design of supplementary of 6-(29,10,2100) (# 15872)
- residual design of 6-(29,10,6755) (# 15875)

- clan: 8-(31,10,60), 3 times reduced t
- Tran van Trung construction (left) for 5-(30,10,12600) (# 15876) : der= 5-(30,9,3000) and res= 5-(30,10,12600) - the given design is the residual.
- design 6-(31,10,3000) (# 16069) with respect to smaller t
- supplementary design of 6-(31,10,9650) (# 16071) with respect to smaller t

- clan: 8-(31,10,72), 1 times residual
- $P\Gamma L(2,27)\times C_2$ $\ge 150 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

- clan: 8-(31,10,72), 1 times reduced t, 1 times residual
- design 7-(30,10,504) (# 15886) with respect to smaller t
- Tran van Trung construction (left) for 6-(29,10,2520) (# 15888) : der= 6-(29,9,504) and res= 6-(29,10,2520) - the given design is the residual.

- clan: 8-(31,10,72), 2 times residual
- residual design of 7-(30,10,504) (# 15886)

- clan: 8-(31,10,181), 1 times reduced t, 1 times residual
- supplementary design of 7-(30,10,504) (# 15886) with respect to smaller t
- Tran van Trung construction (right) for 6-(29,9,1267) (# 15890) : der= 6-(29,9,1267) and res= 6-(29,10,6335) - the given design is the derived.
- Tran van Trung construction (left) for 6-(29,10,6335) (# 15891) : der= 6-(29,9,1267) and res= 6-(29,10,6335) - the given design is the residual.

- clan: 8-(31,10,181), 1 times derived, 1 times residual
- derived from supplementary of 7-(30,10,504) (# 15886)

- clan: 8-(31,10,181), 2 times residual
- residual design of supplementary of 7-(30,10,504) (# 15886)

- clan: 8-(31,10,72), 2 times reduced t, 1 times residual
- design 6-(30,10,3024) (# 15887) with respect to smaller t
- supplementary design of 6-(30,10,7602) (# 15889) with respect to smaller t
- Tran van Trung construction (left) for 5-(29,10,12096) (# 15893) : der= 5-(29,9,3024) and res= 5-(29,10,12096) - the given design is the residual.

- clan: 8-(31,10,72), 1 times reduced t, 2 times residual
- residual design of 6-(30,10,3024) (# 15887)
- design 6-(29,10,2520) (# 15888) with respect to smaller t
- residual design of supplementary of 6-(30,10,7602) (# 15889)
- supplementary design of 6-(29,10,6335) (# 15891) with respect to smaller t
- Tran van Trung construction (left) for 5-(28,10,9576) (# 15896) : der= 5-(28,9,2520) and res= 5-(28,10,9576) - the given design is the residual.

- clan: 8-(31,10,181), 2 times reduced t, 1 times residual
- supplementary design of 6-(30,10,3024) (# 15887) with respect to smaller t
- design 6-(30,10,7602) (# 15889) with respect to smaller t
- Tran van Trung construction (left) for 5-(29,10,30408) (# 15895) : der= 5-(29,9,7602) and res= 5-(29,10,30408) - the given design is the residual.

- clan: 8-(31,10,181), 1 times reduced t, 2 times residual
- residual design of supplementary of 6-(30,10,3024) (# 15887)
- supplementary design of 6-(29,10,2520) (# 15888) with respect to smaller t
- residual design of 6-(30,10,7602) (# 15889)
- design 6-(29,10,6335) (# 15891) with respect to smaller t
- Tran van Trung construction (left) for 5-(28,10,24073) (# 15897) : der= 5-(28,9,6335) and res= 5-(28,10,24073) - the given design is the residual.

- clan: 8-(31,10,72), 3 times residual
- residual design of 6-(29,10,2520) (# 15888)
- residual design of supplementary of 6-(29,10,6335) (# 15891)

- clan: 8-(31,10,181), 3 times residual
- residual design of supplementary of 6-(29,10,2520) (# 15888)
- residual design of 6-(29,10,6335) (# 15891)

- clan: 8-(31,10,76), 1 times residual
- $P\Gamma L(2,27)\times C_2$ $\ge 9 solutions$ % -group 6 PGGL 2 27 Cyclic 2 Direct_sum PGGL_2_27C2x

- clan: 8-(31,10,76), 1 times reduced t, 1 times residual
- design 7-(30,10,532) (# 15898) with respect to smaller t
- Tran van Trung construction (left) for 6-(29,10,2660) (# 15900) : der= 6-(29,9,532) and res= 6-(29,10,2660) - the given design is the residual.

created: Fri Oct 23 11:14:07 CEST 2009