t designs with small t, id ge 14300

• clan: 13-(32,16,519), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,131307) (# 14298) : der= 5-(28,12,131307) and res= 5-(28,13,262614) - the given design is the derived.
• supplementary design of 6-(29,13,113850) (# 15476) with respect to smaller t
• design 6-(29,13,131307) (# 15483) with respect to smaller t
• derived from supplementary of 6-(30,14,341550) (# 15485)
• derived from 6-(30,14,393921) (# 15490)

# 14301: 5-(30,14,948750)

• clan: 13-(32,16,450), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,341550) (# 14299) : der= 5-(29,13,341550) and res= 5-(29,14,607200) - the given design is the derived.
• design 6-(30,14,341550) (# 15485) with respect to smaller t
• supplementary design of 6-(30,14,393921) (# 15490) with respect to smaller t
• derived from 6-(31,15,948750) (# 15493)
• derived from supplementary of 6-(31,15,1094225) (# 15498)

# 14302: 5-(30,14,1094225)

• clan: 13-(32,16,519), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,393921) (# 14300) : der= 5-(29,13,393921) and res= 5-(29,14,700304) - the given design is the derived.
• supplementary design of 6-(30,14,341550) (# 15485) with respect to smaller t
• design 6-(30,14,393921) (# 15490) with respect to smaller t
• derived from supplementary of 6-(31,15,948750) (# 15493)
• derived from 6-(31,15,1094225) (# 15498)

# 14303: 5-(31,15,2466750)

• clan: 13-(32,16,450), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,948750) (# 14301) : der= 5-(30,14,948750) and res= 5-(30,15,1518000) - the given design is the derived.
• design 6-(31,15,948750) (# 15493) with respect to smaller t
• supplementary design of 6-(31,15,1094225) (# 15498) with respect to smaller t
• derived from 6-(32,16,2466750) (# 15499)
• derived from supplementary of 6-(32,16,2844985) (# 15503)

# 14304: 5-(31,15,2844985)

• clan: 13-(32,16,519), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,1094225) (# 14302) : der= 5-(30,14,1094225) and res= 5-(30,15,1750760) - the given design is the derived.
• supplementary design of 6-(31,15,948750) (# 15493) with respect to smaller t
• design 6-(31,15,1094225) (# 15498) with respect to smaller t
• derived from supplementary of 6-(32,16,2466750) (# 15499)
• derived from 6-(32,16,2844985) (# 15503)

# 14305: 5-(32,16,6054750)

• clan: 13-(32,16,450), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,2466750) (# 14303)
• design 6-(32,16,2466750) (# 15499) with respect to smaller t
• supplementary design of 6-(32,16,2844985) (# 15503) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,3588000) (# 15505) : der= 5-(31,15,2466750) and res= 5-(31,16,3588000) - the given design is the residual.

# 14306: 5-(32,16,6983145)

• clan: 13-(32,16,519), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,2844985) (# 14304)
• supplementary design of 6-(32,16,2466750) (# 15499) with respect to smaller t
• design 6-(32,16,2844985) (# 15503) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,4138160) (# 15506) : der= 5-(31,15,2844985) and res= 5-(31,16,4138160) - the given design is the residual.

# 14307: 7-(27,11,2280)

• clan: 15-(32,16,8), 3 times reduced t, 5 times derived
• \cite{Sebille98} $AGL(3,3)$

# 14308: 7-(27,11,2295)

• clan: 17-(36,18,9), 1 times reduced t, 7 times derived, 2 times residual
• \cite{Sebille98} $AGL(3,3)$

# 14309: 6-(26,11,7344)

• clan: 17-(36,18,9), 1 times reduced t, 7 times derived, 3 times residual
• residual design of 7-(27,11,2295) (# 14308)

# 14310: 6-(27,11,10710)

• clan: 17-(36,18,10), 2 times reduced t, 7 times derived, 2 times residual
• supplementary design of 7-(27,11,2295) (# 14308) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,11,8160) (# 14311) : der= 6-(26,10,2550) and res= 6-(26,11,8160) - the given design is the residual.
• residual design of supplementary of 7-(28,11,2835) (# 14312)

# 14311: 6-(26,11,8160)

• clan: 17-(36,18,10), 1 times reduced t, 7 times derived, 3 times residual
• residual design of supplementary of 7-(27,11,2295) (# 14308)

# 14312: 7-(28,11,2835)

• clan: 17-(36,18,9), 2 times reduced t, 7 times derived, 1 times residual
• Tran van Trung construction (left) for 7-(27,11,2295) (# 14308) : der= 7-(27,10,540) and res= 7-(27,11,2295) - the given design is the residual.
• TvT: 7-(27,10,540) $\cup$ 7-(27,11,2295) (>= 5754099169659337180 isomorphism types)

# 14313: 5-(25,11,18360)

• clan: 17-(36,18,9), 1 times reduced t, 7 times derived, 4 times residual
• residual design of 6-(26,11,7344) (# 14309)
• residual design of supplementary of 6-(26,11,8160) (# 14311)

# 14314: 5-(25,11,20400)

• clan: 17-(36,18,10), 1 times reduced t, 7 times derived, 4 times residual
• residual design of supplementary of 6-(26,11,7344) (# 14309)
• residual design of 6-(26,11,8160) (# 14311)

# 14315: 6-(28,11,13860)

• clan: 17-(36,18,10), 3 times reduced t, 7 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(27,11,10710) (# 14310) : der= 6-(27,10,3150) and res= 6-(27,11,10710) - the given design is the residual.
• supplementary design of 7-(28,11,2835) (# 14312) with respect to smaller t
• residual design of supplementary of 7-(29,11,3465) (# 15117)

# 14316: 7-(27,11,2325)

• clan: 13-(32,16,465), 1 times reduced t, 5 times derived
• \cite{Sebille98} $AGL(3,3)$

# 14317: 6-(26,11,7440)

• clan: 13-(32,16,465), 1 times reduced t, 5 times derived, 1 times residual
• residual design of 7-(27,11,2325) (# 14316)

# 14318: 6-(27,11,10584)

• clan: 13-(32,16,504), 2 times reduced t, 5 times derived
• supplementary design of 7-(27,11,2325) (# 14316) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,2520) (# 14319) : der= 6-(26,10,2520) and res= 6-(26,11,8064) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,8064) (# 14320) : der= 6-(26,10,2520) and res= 6-(26,11,8064) - the given design is the residual.

# 14319: 6-(26,10,2520)

• clan: 13-(32,16,504), 1 times reduced t, 6 times derived
• derived from supplementary of 7-(27,11,2325) (# 14316)

# 14320: 6-(26,11,8064)

• clan: 13-(32,16,504), 1 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 7-(27,11,2325) (# 14316)

# 14321: 5-(25,11,18600)

• clan: 13-(32,16,465), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,7440) (# 14317)
• residual design of supplementary of 6-(26,11,8064) (# 14320)
• derived from 6-(26,12,18600) (# 14964)
• derived from supplementary of 6-(26,12,20160) (# 14966)

# 14322: 5-(25,11,20160)

• clan: 13-(32,16,504), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,7440) (# 14317)
• residual design of 6-(26,11,8064) (# 14320)
• derived from supplementary of 6-(26,12,18600) (# 14964)
• derived from 6-(26,12,20160) (# 14966)

# 14323: 7-(27,11,2385)

• clan: 13-(32,16,477), 1 times reduced t, 5 times derived
• $U(4,2)$
• \cite{Sebille98} $AGL(3,3)$

# 14324: 6-(26,10,2385)

• clan: 13-(32,16,477), 1 times reduced t, 6 times derived
• derived from 7-(27,11,2385) (# 14323)

# 14325: 6-(26,11,7632)

• clan: 13-(32,16,477), 1 times reduced t, 5 times derived, 1 times residual
• residual design of 7-(27,11,2385) (# 14323)

# 14326: 6-(27,11,10332)

• clan: 13-(32,16,492), 2 times reduced t, 5 times derived
• supplementary design of 7-(27,11,2385) (# 14323) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,2460) (# 14327) : der= 6-(26,10,2460) and res= 6-(26,11,7872) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,7872) (# 14328) : der= 6-(26,10,2460) and res= 6-(26,11,7872) - the given design is the residual.

# 14327: 6-(26,10,2460)

• clan: 13-(32,16,492), 1 times reduced t, 6 times derived
• derived from supplementary of 7-(27,11,2385) (# 14323)

# 14328: 6-(26,11,7872)

• clan: 13-(32,16,492), 1 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 7-(27,11,2385) (# 14323)

# 14329: 5-(25,9,2460)

• clan: 13-(32,16,492), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,2385) (# 14324)
• derived from 6-(26,10,2460) (# 14327)

# 14330: 5-(25,10,7872)

• clan: 13-(32,16,492), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,2385) (# 14324)
• derived from supplementary of 6-(26,11,7632) (# 14325)
• residual design of 6-(26,10,2460) (# 14327)
• derived from 6-(26,11,7872) (# 14328)

# 14331: 5-(25,11,19080)

• clan: 13-(32,16,477), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,7632) (# 14325)
• residual design of supplementary of 6-(26,11,7872) (# 14328)

# 14332: 5-(25,11,19680)

• clan: 13-(32,16,492), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,7632) (# 14325)
• residual design of 6-(26,11,7872) (# 14328)

# 14333: 7-(27,11,2400)

• clan: 13-(32,16,480), 1 times reduced t, 5 times derived
• $U(4,2)$

# 14334: 6-(27,11,10080)

• clan: 13-(32,16,480), 2 times reduced t, 5 times derived
• design 7-(27,11,2400) (# 14333) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,2400) (# 14335) : der= 6-(26,10,2400) and res= 6-(26,11,7680) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,7680) (# 14336) : der= 6-(26,10,2400) and res= 6-(26,11,7680) - the given design is the residual.

# 14335: 6-(26,10,2400)

• clan: 13-(32,16,480), 1 times reduced t, 6 times derived
• derived from 7-(27,11,2400) (# 14333)

# 14336: 6-(26,11,7680)

• clan: 13-(32,16,480), 1 times reduced t, 5 times derived, 1 times residual
• residual design of 7-(27,11,2400) (# 14333)

# 14337: 6-(27,11,10269)

• clan: 13-(32,16,489), 2 times reduced t, 5 times derived
• supplementary design of 7-(27,11,2400) (# 14333) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,2445) (# 14338) : der= 6-(26,10,2445) and res= 6-(26,11,7824) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,7824) (# 14339) : der= 6-(26,10,2445) and res= 6-(26,11,7824) - the given design is the residual.

# 14338: 6-(26,10,2445)

• clan: 13-(32,16,489), 1 times reduced t, 6 times derived
• derived from supplementary of 7-(27,11,2400) (# 14333)

# 14339: 6-(26,11,7824)

• clan: 13-(32,16,489), 1 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 7-(27,11,2400) (# 14333)

# 14340: 5-(27,11,36960)

• clan: 13-(32,16,480), 3 times reduced t, 5 times derived
• design 6-(27,11,10080) (# 14334) with respect to smaller t
• supplementary design of 6-(27,11,10269) (# 14337) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,11,26880) (# 14341) : der= 5-(26,10,10080) and res= 5-(26,11,26880) - the given design is the residual.

# 14341: 5-(26,11,26880)

• clan: 13-(32,16,480), 2 times reduced t, 5 times derived, 1 times residual
• residual design of 6-(27,11,10080) (# 14334)
• design 6-(26,11,7680) (# 14336) with respect to smaller t
• residual design of supplementary of 6-(27,11,10269) (# 14337)
• supplementary design of 6-(26,11,7824) (# 14339) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,19200) (# 14347) : der= 5-(25,10,7680) and res= 5-(25,11,19200) - the given design is the residual.

# 14342: 5-(27,11,37653)

• clan: 13-(32,16,489), 3 times reduced t, 5 times derived
• supplementary design of 6-(27,11,10080) (# 14334) with respect to smaller t
• design 6-(27,11,10269) (# 14337) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,10,10269) (# 14343) : der= 5-(26,10,10269) and res= 5-(26,11,27384) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,27384) (# 14344) : der= 5-(26,10,10269) and res= 5-(26,11,27384) - the given design is the residual.

# 14343: 5-(26,10,10269)

• clan: 13-(32,16,489), 2 times reduced t, 6 times derived
• derived from supplementary of 6-(27,11,10080) (# 14334)
• supplementary design of 6-(26,10,2400) (# 14335) with respect to smaller t
• derived from 6-(27,11,10269) (# 14337)
• design 6-(26,10,2445) (# 14338) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,9,2445) (# 14345) : der= 5-(25,9,2445) and res= 5-(25,10,7824) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,7824) (# 14346) : der= 5-(25,9,2445) and res= 5-(25,10,7824) - the given design is the residual.

# 14344: 5-(26,11,27384)

• clan: 13-(32,16,489), 2 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 6-(27,11,10080) (# 14334)
• supplementary design of 6-(26,11,7680) (# 14336) with respect to smaller t
• residual design of 6-(27,11,10269) (# 14337)
• design 6-(26,11,7824) (# 14339) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,7824) (# 14346) : der= 5-(25,10,7824) and res= 5-(25,11,19560) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,19560) (# 14348) : der= 5-(25,10,7824) and res= 5-(25,11,19560) - the given design is the residual.

# 14345: 5-(25,9,2445)

• clan: 13-(32,16,489), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,2400) (# 14335)
• derived from 6-(26,10,2445) (# 14338)

# 14346: 5-(25,10,7824)

• clan: 13-(32,16,489), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,2400) (# 14335)
• derived from supplementary of 6-(26,11,7680) (# 14336)
• residual design of 6-(26,10,2445) (# 14338)
• derived from 6-(26,11,7824) (# 14339)

# 14347: 5-(25,11,19200)

• clan: 13-(32,16,480), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,7680) (# 14336)
• residual design of supplementary of 6-(26,11,7824) (# 14339)

# 14348: 5-(25,11,19560)

• clan: 13-(32,16,489), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,7680) (# 14336)
• residual design of 6-(26,11,7824) (# 14339)

# 14349: 7-(27,11,2415)

• clan: 13-(32,16,483), 1 times reduced t, 5 times derived
• \cite{Sebille98} $AGL(3,3)$

# 14350: 6-(26,10,2415)

• clan: 13-(32,16,483), 1 times reduced t, 6 times derived
• derived from 7-(27,11,2415) (# 14349)

# 14351: 6-(26,11,7728)

• clan: 13-(32,16,483), 1 times reduced t, 5 times derived, 1 times residual
• residual design of 7-(27,11,2415) (# 14349)
• derived from 7-(27,12,7728) (# 14860)
• design 7-(26,11,1932) (# 17632) with respect to smaller t
• derived from supplementary of 7-(27,12,7776) (# 17633)
• supplementary design of 7-(26,11,1944) (# 17634) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,1932) (# 17636) : der= 6-(25,10,1932) and res= 6-(25,11,5796) - the given design is the derived.

# 14352: 6-(27,11,10206)

• clan: 13-(32,16,486), 2 times reduced t, 5 times derived
• supplementary design of 7-(27,11,2415) (# 14349) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,2430) (# 14353) : der= 6-(26,10,2430) and res= 6-(26,11,7776) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,7776) (# 14354) : der= 6-(26,10,2430) and res= 6-(26,11,7776) - the given design is the residual.
• derived from supplementary of 7-(28,12,10143) (# 14861)

# 14353: 6-(26,10,2430)

• clan: 13-(32,16,486), 1 times reduced t, 6 times derived
• derived from supplementary of 7-(27,11,2415) (# 14349)

# 14354: 6-(26,11,7776)

• clan: 13-(32,16,486), 1 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 7-(27,11,2415) (# 14349)
• derived from supplementary of 7-(27,12,7728) (# 14860)
• supplementary design of 7-(26,11,1932) (# 17632) with respect to smaller t
• derived from 7-(27,12,7776) (# 17633)
• design 7-(26,11,1944) (# 17634) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,10,1944) (# 17637) : der= 6-(25,10,1944) and res= 6-(25,11,5832) - the given design is the derived.

# 14355: 5-(25,9,2430)

• clan: 13-(32,16,486), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,2415) (# 14350)
• derived from 6-(26,10,2430) (# 14353)
• Tran van Trung construction (left) for 5-(24,9,1944) (# 17639) : der= 5-(24,8,486) and res= 5-(24,9,1944) - the given design is the residual.

# 14356: 5-(25,10,7776)

• clan: 13-(32,16,486), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,2415) (# 14350)
• derived from supplementary of 6-(26,11,7728) (# 14351)
• residual design of 6-(26,10,2430) (# 14353)
• derived from 6-(26,11,7776) (# 14354)
• supplementary design of 6-(25,10,1932) (# 17636) with respect to smaller t
• design 6-(25,10,1944) (# 17637) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,9,1944) (# 17639) : der= 5-(24,9,1944) and res= 5-(24,10,5832) - the given design is the derived.

# 14357: 6-(27,12,27216)

• clan: 13-(32,16,486), 2 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 6-(26,11,7776) (# 14354) : der= 6-(26,11,7776) and res= 6-(26,12,19440) - the given design is the derived.
• supplementary design of 7-(27,12,7728) (# 14860) with respect to smaller t
• residual design of supplementary of 7-(28,12,10143) (# 14861)
• derived from supplementary of 7-(28,13,27048) (# 14862)
• design 7-(27,12,7776) (# 17633) with respect to smaller t
• derived from 7-(28,13,27216) (# 17640)

# 14358: 6-(28,12,37422)

• clan: 13-(32,16,486), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,27216) (# 14357) : der= 6-(27,11,10206) and res= 6-(27,12,27216) - the given design is the residual.
• supplementary design of 7-(28,12,10143) (# 14861) with respect to smaller t
• derived from supplementary of 7-(29,13,37191) (# 14863)

# 14359: 6-(28,13,85536)

• clan: 13-(32,16,486), 3 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 6-(27,12,27216) (# 14357) : der= 6-(27,12,27216) and res= 6-(27,13,58320) - the given design is the derived.
• supplementary design of 7-(28,13,27048) (# 14862) with respect to smaller t
• residual design of supplementary of 7-(29,13,37191) (# 14863)
• derived from supplementary of 7-(29,14,85008) (# 14864)
• design 7-(28,13,27216) (# 17640) with respect to smaller t
• derived from 7-(29,14,85536) (# 17641)

# 14360: 6-(29,13,122958)

• clan: 13-(32,16,486), 4 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(28,12,37422) (# 14358) : der= 6-(28,12,37422) and res= 6-(28,13,85536) - the given design is the derived.
• Tran van Trung construction (left) for 6-(28,13,85536) (# 14359) : der= 6-(28,12,37422) and res= 6-(28,13,85536) - the given design is the residual.
• supplementary design of 7-(29,13,37191) (# 14863) with respect to smaller t
• derived from supplementary of 7-(30,14,122199) (# 14865)

# 14361: 6-(30,14,368874)

• clan: 13-(32,16,486), 5 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(29,13,122958) (# 14360) : der= 6-(29,13,122958) and res= 6-(29,14,245916) - the given design is the derived.
• supplementary design of 7-(30,14,122199) (# 14865) with respect to smaller t
• derived from supplementary of 7-(31,15,366597) (# 14866)

# 14362: 7-(27,11,540)

• clan: 13-(32,16,108), 1 times reduced t, 5 times derived
• $ASL(3,3)$ 1 isomorphism type

# 14363: 6-(26,10,540)

• clan: 13-(32,16,108), 1 times reduced t, 6 times derived
• derived from 7-(27,11,540) (# 14362)

# 14364: 6-(26,11,1728)

• clan: 13-(32,16,108), 1 times reduced t, 5 times derived, 1 times residual
• residual design of 7-(27,11,540) (# 14362)

# 14365: 6-(27,11,18081)

• clan: 13-(32,16,861), 2 times reduced t, 5 times derived
• supplementary design of 7-(27,11,540) (# 14362) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,4305) (# 14366) : der= 6-(26,10,4305) and res= 6-(26,11,13776) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,13776) (# 14367) : der= 6-(26,10,4305) and res= 6-(26,11,13776) - the given design is the residual.

# 14366: 6-(26,10,4305)

• clan: 13-(32,16,861), 1 times reduced t, 6 times derived
• derived from supplementary of 7-(27,11,540) (# 14362)

# 14367: 6-(26,11,13776)

• clan: 13-(32,16,861), 1 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 7-(27,11,540) (# 14362)

# 14368: 5-(25,9,4305)

• clan: 13-(32,16,861), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,540) (# 14363)
• derived from 6-(26,10,4305) (# 14366)

# 14369: 5-(25,10,13776)

• clan: 13-(32,16,861), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,540) (# 14363)
• derived from supplementary of 6-(26,11,1728) (# 14364)
• residual design of 6-(26,10,4305) (# 14366)
• derived from 6-(26,11,13776) (# 14367)

# 14370: 5-(25,11,4320)

• clan: 13-(32,16,108), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,1728) (# 14364)
• residual design of supplementary of 6-(26,11,13776) (# 14367)

# 14371: 5-(25,11,34440)

• clan: 13-(32,16,861), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,1728) (# 14364)
• residual design of 6-(26,11,13776) (# 14367)

# 14372: 7-(27,11,675)

• clan: 13-(32,16,135), 1 times reduced t, 5 times derived
• $ASL(3,3)$ 24 isomorphism types

# 14373: 6-(27,11,2835)

• clan: 13-(32,16,135), 2 times reduced t, 5 times derived
• design 7-(27,11,675) (# 14372) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,11,2160) (# 14374) : der= 6-(26,10,675) and res= 6-(26,11,2160) - the given design is the residual.

# 14374: 6-(26,11,2160)

• clan: 13-(32,16,135), 1 times reduced t, 5 times derived, 1 times residual
• residual design of 7-(27,11,675) (# 14372)

# 14375: 6-(27,11,17514)

• clan: 13-(32,16,834), 2 times reduced t, 5 times derived
• supplementary design of 7-(27,11,675) (# 14372) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,4170) (# 14376) : der= 6-(26,10,4170) and res= 6-(26,11,13344) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,13344) (# 14377) : der= 6-(26,10,4170) and res= 6-(26,11,13344) - the given design is the residual.

# 14376: 6-(26,10,4170)

• clan: 13-(32,16,834), 1 times reduced t, 6 times derived
• derived from supplementary of 7-(27,11,675) (# 14372)

# 14377: 6-(26,11,13344)

• clan: 13-(32,16,834), 1 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 7-(27,11,675) (# 14372)

# 14378: 5-(27,11,10395)

• clan: 13-(32,16,135), 3 times reduced t, 5 times derived
• design 6-(27,11,2835) (# 14373) with respect to smaller t
• supplementary design of 6-(27,11,17514) (# 14375) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,11,7560) (# 14379) : der= 5-(26,10,2835) and res= 5-(26,11,7560) - the given design is the residual.

# 14379: 5-(26,11,7560)

• clan: 13-(32,16,135), 2 times reduced t, 5 times derived, 1 times residual
• residual design of 6-(27,11,2835) (# 14373)
• design 6-(26,11,2160) (# 14374) with respect to smaller t
• residual design of supplementary of 6-(27,11,17514) (# 14375)
• supplementary design of 6-(26,11,13344) (# 14377) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,5400) (# 14382) : der= 5-(25,10,2160) and res= 5-(25,11,5400) - the given design is the residual.

# 14380: 5-(27,11,64218)

• clan: 13-(32,16,834), 3 times reduced t, 5 times derived
• supplementary design of 6-(27,11,2835) (# 14373) with respect to smaller t
• design 6-(27,11,17514) (# 14375) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,11,46704) (# 14381) : der= 5-(26,10,17514) and res= 5-(26,11,46704) - the given design is the residual.

# 14381: 5-(26,11,46704)

• clan: 13-(32,16,834), 2 times reduced t, 5 times derived, 1 times residual
• residual design of supplementary of 6-(27,11,2835) (# 14373)
• supplementary design of 6-(26,11,2160) (# 14374) with respect to smaller t
• residual design of 6-(27,11,17514) (# 14375)
• design 6-(26,11,13344) (# 14377) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,33360) (# 14383) : der= 5-(25,10,13344) and res= 5-(25,11,33360) - the given design is the residual.

# 14382: 5-(25,11,5400)

• clan: 13-(32,16,135), 1 times reduced t, 5 times derived, 2 times residual
• residual design of 6-(26,11,2160) (# 14374)
• residual design of supplementary of 6-(26,11,13344) (# 14377)

# 14383: 5-(25,11,33360)

• clan: 13-(32,16,834), 1 times reduced t, 5 times derived, 2 times residual
• residual design of supplementary of 6-(26,11,2160) (# 14374)
• residual design of 6-(26,11,13344) (# 14377)

# 14384: 7-(27,11,765)

• clan: 17-(36,18,3), 1 times reduced t, 7 times derived, 2 times residual
• $ASL(3,3)$ 189 isomorphism types

# 14385: 6-(27,11,3213)

• clan: 17-(36,18,3), 2 times reduced t, 7 times derived, 2 times residual
• design 7-(27,11,765) (# 14384) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,765) (# 14386) : der= 6-(26,10,765) and res= 6-(26,11,2448) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,2448) (# 14387) : der= 6-(26,10,765) and res= 6-(26,11,2448) - the given design is the residual.

# 14386: 6-(26,10,765)

• clan: 17-(36,18,3), 1 times reduced t, 8 times derived, 2 times residual
• derived from 7-(27,11,765) (# 14384)

# 14387: 6-(26,11,2448)

• clan: 17-(36,18,3), 1 times reduced t, 7 times derived, 3 times residual
• residual design of 7-(27,11,765) (# 14384)

# 14388: 6-(27,11,17136)

• clan: 17-(36,18,16), 2 times reduced t, 7 times derived, 2 times residual
• supplementary design of 7-(27,11,765) (# 14384) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,10,4080) (# 14389) : der= 6-(26,10,4080) and res= 6-(26,11,13056) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,11,13056) (# 14390) : der= 6-(26,10,4080) and res= 6-(26,11,13056) - the given design is the residual.

# 14389: 6-(26,10,4080)

• clan: 17-(36,18,16), 1 times reduced t, 8 times derived, 2 times residual
• derived from supplementary of 7-(27,11,765) (# 14384)

# 14390: 6-(26,11,13056)

• clan: 17-(36,18,16), 1 times reduced t, 7 times derived, 3 times residual
• residual design of supplementary of 7-(27,11,765) (# 14384)

# 14391: 5-(27,11,11781)

• clan: 17-(36,18,3), 3 times reduced t, 7 times derived, 2 times residual
• design 6-(27,11,3213) (# 14385) with respect to smaller t
• supplementary design of 6-(27,11,17136) (# 14388) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,11,8568) (# 14392) : der= 5-(26,10,3213) and res= 5-(26,11,8568) - the given design is the residual.
• residual design of 6-(28,11,4158) (# 14395)

# 14392: 5-(26,11,8568)

• clan: 17-(36,18,3), 2 times reduced t, 7 times derived, 3 times residual
• residual design of 6-(27,11,3213) (# 14385)
• design 6-(26,11,2448) (# 14387) with respect to smaller t
• residual design of supplementary of 6-(27,11,17136) (# 14388)
• supplementary design of 6-(26,11,13056) (# 14390) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,11,6120) (# 14397) : der= 5-(25,10,2448) and res= 5-(25,11,6120) - the given design is the residual.

# 14393: 5-(27,11,62832)

• clan: 17-(36,18,16), 3 times reduced t, 7 times derived, 2 times residual
• supplementary design of 6-(27,11,3213) (# 14385) with respect to smaller t
• design 6-(27,11,17136) (# 14388) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,11,45696) (# 14394) : der= 5-(26,10,17136) and res= 5-(26,11,45696) - the given design is the residual.
• residual design of supplementary of 6-(28,11,4158) (# 14395)

# 14394: 5-(26,11,45696)

• clan: 17-(36,18,16), 2 times reduced t, 7 times derived, 3 times residual
• residual design of supplementary of 6-(27,11,3213) (# 14385)
• supplementary design of 6-(26,11,2448) (# 14387) with respect to smaller t
• residual design of 6-(27,11,17136) (# 14388)
• design 6-(26,11,13056) (# 14390) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,10,13056) (# 14396) : der= 5-(25,10,13056) and res= 5-(25,11,32640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,11,32640) (# 14398) : der= 5-(25,10,13056) and res= 5-(25,11,32640) - the given design is the residual.

# 14395: 6-(28,11,4158)

• clan: 17-(36,18,3), 3 times reduced t, 7 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(27,11,3213) (# 14385) : der= 6-(27,10,945) and res= 6-(27,11,3213) - the given design is the residual.

# 14396: 5-(25,10,13056)

• clan: 17-(36,18,16), 1 times reduced t, 8 times derived, 3 times residual
• residual design of supplementary of 6-(26,10,765) (# 14386)
• derived from supplementary of 6-(26,11,2448) (# 14387)
• residual design of 6-(26,10,4080) (# 14389)
• derived from 6-(26,11,13056) (# 14390)

# 14397: 5-(25,11,6120)

• clan: 17-(36,18,3), 1 times reduced t, 7 times derived, 4 times residual
• residual design of 6-(26,11,2448) (# 14387)
• residual design of supplementary of 6-(26,11,13056) (# 14390)

# 14398: 5-(25,11,32640)

• clan: 17-(36,18,16), 1 times reduced t, 7 times derived, 4 times residual
• residual design of supplementary of 6-(26,11,2448) (# 14387)
• residual design of 6-(26,11,13056) (# 14390)

# 14399: 5-(28,11,15939)

• clan: 17-(36,18,3), 4 times reduced t, 7 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(27,11,11781) (# 14391) : der= 5-(27,10,4158) and res= 5-(27,11,11781) - the given design is the residual.
• design 6-(28,11,4158) (# 14395) with respect to smaller t
• residual design of 6-(29,11,5313) (# 14403)

created: Fri Oct 23 11:13:46 CEST 2009