t designs with small t, id ge 14800

• clan: 11-(30,15,2418), 3 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(27,12,33852) (# 14792) : der= 6-(27,12,33852) and res= 6-(27,13,72540) - the given design is the derived.
• supplementary design of 7-(28,13,20412) (# 17916) with respect to smaller t
• design 7-(28,13,33852) (# 17918) with respect to smaller t
• derived from supplementary of 7-(29,14,64152) (# 17921)
• derived from 7-(29,14,106392) (# 17924)

# 14801: 7-(27,12,6432)

• clan: 13-(32,16,402), 1 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$

# 14802: 6-(26,12,16080)

• clan: 13-(32,16,402), 1 times reduced t, 4 times derived, 2 times residual
• residual design of 7-(27,12,6432) (# 14801)

# 14803: 6-(27,12,31752)

• clan: 13-(32,16,567), 2 times reduced t, 4 times derived, 1 times residual
• supplementary design of 7-(27,12,6432) (# 14801) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,12,22680) (# 14804) : der= 6-(26,11,9072) and res= 6-(26,12,22680) - the given design is the residual.
• residual design of supplementary of 7-(28,12,8442) (# 14805)

# 14804: 6-(26,12,22680)

• clan: 13-(32,16,567), 1 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 7-(27,12,6432) (# 14801)

# 14805: 7-(28,12,8442)

• clan: 13-(32,16,402), 2 times reduced t, 4 times derived
• Tran van Trung construction (left) for 7-(27,12,6432) (# 14801) : der= 7-(27,11,2010) and res= 7-(27,12,6432) - the given design is the residual.

# 14806: 5-(25,12,32160)

• clan: 13-(32,16,402), 1 times reduced t, 4 times derived, 3 times residual
• residual design of 6-(26,12,16080) (# 14802)
• residual design of supplementary of 6-(26,12,22680) (# 14804)

# 14807: 5-(25,12,45360)

• clan: 13-(32,16,567), 1 times reduced t, 4 times derived, 3 times residual
• residual design of supplementary of 6-(26,12,16080) (# 14802)
• residual design of 6-(26,12,22680) (# 14804)

# 14808: 6-(28,12,43659)

• clan: 13-(32,16,567), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,31752) (# 14803) : der= 6-(27,11,11907) and res= 6-(27,12,31752) - the given design is the residual.
• supplementary design of 7-(28,12,8442) (# 14805) with respect to smaller t

# 14809: 5-(26,13,84420)

• clan: 13-(32,16,402), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,32160) (# 14806)
• residual design of 6-(27,13,48240) (# 15736)
• derived from 6-(27,14,84420) (# 15737)
• residual design of supplementary of 6-(27,13,68040) (# 15739)
• derived from supplementary of 6-(27,14,119070) (# 15740)

# 14810: 5-(26,13,119070)

• clan: 13-(32,16,567), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,45360) (# 14807)
• residual design of supplementary of 6-(27,13,48240) (# 15736)
• derived from supplementary of 6-(27,14,84420) (# 15737)
• residual design of 6-(27,13,68040) (# 15739)
• derived from 6-(27,14,119070) (# 15740)

# 14811: 5-(27,13,132660)

• clan: 13-(32,16,402), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(26,13,84420) (# 14809) : der= 5-(26,12,48240) and res= 5-(26,13,84420) - the given design is the residual.
• derived from 6-(28,14,132660) (# 15735)
• design 6-(27,13,48240) (# 15736) with respect to smaller t
• derived from supplementary of 6-(28,14,187110) (# 15738)
• supplementary design of 6-(27,13,68040) (# 15739) with respect to smaller t
• residual design of 6-(28,13,70752) (# 15743)
• residual design of supplementary of 6-(28,13,99792) (# 15747)

# 14812: 5-(27,13,187110)

• clan: 13-(32,16,567), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(26,13,119070) (# 14810) : der= 5-(26,12,68040) and res= 5-(26,13,119070) - the given design is the residual.
• derived from supplementary of 6-(28,14,132660) (# 15735)
• supplementary design of 6-(27,13,48240) (# 15736) with respect to smaller t
• derived from 6-(28,14,187110) (# 15738)
• design 6-(27,13,68040) (# 15739) with respect to smaller t
• residual design of supplementary of 6-(28,13,70752) (# 15743)
• residual design of 6-(28,13,99792) (# 15747)

# 14813: 5-(28,14,339020)

• clan: 13-(32,16,402), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,132660) (# 14811)
• design 6-(28,14,132660) (# 15735) with respect to smaller t
• supplementary design of 6-(28,14,187110) (# 15738) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,206360) (# 15741) : der= 5-(27,13,132660) and res= 5-(27,14,206360) - the given design is the residual.
• residual design of 6-(29,14,203412) (# 15749)
• residual design of supplementary of 6-(29,14,286902) (# 15751)
• derived from 6-(29,15,339020) (# 15761)
• derived from supplementary of 6-(29,15,478170) (# 15762)

# 14814: 5-(28,13,203412)

• clan: 13-(32,16,402), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(27,13,132660) (# 14811) : der= 5-(27,12,70752) and res= 5-(27,13,132660) - the given design is the residual.
• design 6-(28,13,70752) (# 15743) with respect to smaller t
• supplementary design of 6-(28,13,99792) (# 15747) with respect to smaller t
• residual design of 6-(29,13,101706) (# 15748)
• derived from 6-(29,14,203412) (# 15749)
• residual design of supplementary of 6-(29,13,143451) (# 15750)
• derived from supplementary of 6-(29,14,286902) (# 15751)

# 14815: 5-(28,14,478170)

• clan: 13-(32,16,567), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,187110) (# 14812)
• supplementary design of 6-(28,14,132660) (# 15735) with respect to smaller t
• design 6-(28,14,187110) (# 15738) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,291060) (# 15742) : der= 5-(27,13,187110) and res= 5-(27,14,291060) - the given design is the residual.
• residual design of supplementary of 6-(29,14,203412) (# 15749)
• residual design of 6-(29,14,286902) (# 15751)
• derived from supplementary of 6-(29,15,339020) (# 15761)
• derived from 6-(29,15,478170) (# 15762)

# 14816: 5-(28,13,286902)

• clan: 13-(32,16,567), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(27,13,187110) (# 14812) : der= 5-(27,12,99792) and res= 5-(27,13,187110) - the given design is the residual.
• supplementary design of 6-(28,13,70752) (# 15743) with respect to smaller t
• design 6-(28,13,99792) (# 15747) with respect to smaller t
• residual design of supplementary of 6-(29,13,101706) (# 15748)
• derived from supplementary of 6-(29,14,203412) (# 15749)
• residual design of 6-(29,13,143451) (# 15750)
• derived from 6-(29,14,286902) (# 15751)

# 14817: 5-(29,14,542432)

• clan: 13-(32,16,402), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,339020) (# 14813) : der= 5-(28,13,203412) and res= 5-(28,14,339020) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,13,203412) (# 14814) : der= 5-(28,13,203412) and res= 5-(28,14,339020) - the given design is the derived.
• design 6-(29,14,203412) (# 15749) with respect to smaller t
• supplementary design of 6-(29,14,286902) (# 15751) with respect to smaller t
• residual design of 6-(30,14,305118) (# 15752)
• derived from 6-(30,15,542432) (# 15753)
• residual design of supplementary of 6-(30,14,430353) (# 15755)
• derived from supplementary of 6-(30,15,765072) (# 15756)

# 14818: 5-(29,13,305118)

• clan: 13-(32,16,402), 5 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(28,13,203412) (# 14814) : der= 5-(28,12,101706) and res= 5-(28,13,203412) - the given design is the residual.
• design 6-(29,13,101706) (# 15748) with respect to smaller t
• supplementary design of 6-(29,13,143451) (# 15750) with respect to smaller t
• derived from 6-(30,14,305118) (# 15752)
• derived from supplementary of 6-(30,14,430353) (# 15755)

# 14819: 5-(29,14,765072)

• clan: 13-(32,16,567), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,478170) (# 14815) : der= 5-(28,13,286902) and res= 5-(28,14,478170) - the given design is the residual.
• Tran van Trung construction (right) for 5-(28,13,286902) (# 14816) : der= 5-(28,13,286902) and res= 5-(28,14,478170) - the given design is the derived.
• supplementary design of 6-(29,14,203412) (# 15749) with respect to smaller t
• design 6-(29,14,286902) (# 15751) with respect to smaller t
• residual design of supplementary of 6-(30,14,305118) (# 15752)
• derived from supplementary of 6-(30,15,542432) (# 15753)
• residual design of 6-(30,14,430353) (# 15755)
• derived from 6-(30,15,765072) (# 15756)

# 14820: 5-(29,13,430353)

• clan: 13-(32,16,567), 5 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(28,13,286902) (# 14816) : der= 5-(28,12,143451) and res= 5-(28,13,286902) - the given design is the residual.
• supplementary design of 6-(29,13,101706) (# 15748) with respect to smaller t
• design 6-(29,13,143451) (# 15750) with respect to smaller t
• derived from supplementary of 6-(30,14,305118) (# 15752)
• derived from 6-(30,14,430353) (# 15755)

# 14821: 5-(30,15,1356080)

• clan: 13-(32,16,402), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,542432) (# 14817)
• design 6-(30,15,542432) (# 15753) with respect to smaller t
• supplementary design of 6-(30,15,765072) (# 15756) with respect to smaller t
• residual design of 6-(31,15,847550) (# 15758)
• Tran van Trung construction (left) for 5-(29,15,813648) (# 15759) : der= 5-(29,14,542432) and res= 5-(29,15,813648) - the given design is the residual.
• residual design of supplementary of 6-(31,15,1195425) (# 15763)
• derived from 6-(31,16,1356080) (# 15772)
• derived from supplementary of 6-(31,16,1912680) (# 15773)

# 14822: 5-(30,14,847550)

• clan: 13-(32,16,402), 6 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(29,14,542432) (# 14817) : der= 5-(29,13,305118) and res= 5-(29,14,542432) - the given design is the residual.
• Tran van Trung construction (right) for 5-(29,13,305118) (# 14818) : der= 5-(29,13,305118) and res= 5-(29,14,542432) - the given design is the derived.
• design 6-(30,14,305118) (# 15752) with respect to smaller t
• supplementary design of 6-(30,14,430353) (# 15755) with respect to smaller t
• derived from 6-(31,15,847550) (# 15758)
• derived from supplementary of 6-(31,15,1195425) (# 15763)

# 14823: 5-(30,15,1912680)

• clan: 13-(32,16,567), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,765072) (# 14819)
• supplementary design of 6-(30,15,542432) (# 15753) with respect to smaller t
• design 6-(30,15,765072) (# 15756) with respect to smaller t
• residual design of supplementary of 6-(31,15,847550) (# 15758)
• Tran van Trung construction (left) for 5-(29,15,1147608) (# 15760) : der= 5-(29,14,765072) and res= 5-(29,15,1147608) - the given design is the residual.
• residual design of 6-(31,15,1195425) (# 15763)
• derived from supplementary of 6-(31,16,1356080) (# 15772)
• derived from 6-(31,16,1912680) (# 15773)

# 14824: 5-(30,14,1195425)

• clan: 13-(32,16,567), 6 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(29,14,765072) (# 14819) : der= 5-(29,13,430353) and res= 5-(29,14,765072) - the given design is the residual.
• Tran van Trung construction (right) for 5-(29,13,430353) (# 14820) : der= 5-(29,13,430353) and res= 5-(29,14,765072) - the given design is the derived.
• supplementary design of 6-(30,14,305118) (# 15752) with respect to smaller t
• design 6-(30,14,430353) (# 15755) with respect to smaller t
• derived from supplementary of 6-(31,15,847550) (# 15758)
• derived from 6-(31,15,1195425) (# 15763)

# 14825: 5-(31,15,2203630)

• clan: 13-(32,16,402), 7 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(30,15,1356080) (# 14821) : der= 5-(30,14,847550) and res= 5-(30,15,1356080) - the given design is the residual.
• Tran van Trung construction (right) for 5-(30,14,847550) (# 14822) : der= 5-(30,14,847550) and res= 5-(30,15,1356080) - the given design is the derived.
• design 6-(31,15,847550) (# 15758) with respect to smaller t
• supplementary design of 6-(31,15,1195425) (# 15763) with respect to smaller t
• derived from 6-(32,16,2203630) (# 15764)
• derived from supplementary of 6-(32,16,3108105) (# 15768)

# 14826: 5-(31,15,3108105)

• clan: 13-(32,16,567), 7 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(30,15,1912680) (# 14823) : der= 5-(30,14,1195425) and res= 5-(30,15,1912680) - the given design is the residual.
• Tran van Trung construction (right) for 5-(30,14,1195425) (# 14824) : der= 5-(30,14,1195425) and res= 5-(30,15,1912680) - the given design is the derived.
• supplementary design of 6-(31,15,847550) (# 15758) with respect to smaller t
• design 6-(31,15,1195425) (# 15763) with respect to smaller t
• derived from supplementary of 6-(32,16,2203630) (# 15764)
• derived from 6-(32,16,3108105) (# 15768)

# 14827: 5-(32,16,5408910)

• clan: 13-(32,16,402), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,2203630) (# 14825)
• design 6-(32,16,2203630) (# 15764) with respect to smaller t
• supplementary design of 6-(32,16,3108105) (# 15768) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,3205280) (# 15770) : der= 5-(31,15,2203630) and res= 5-(31,16,3205280) - the given design is the residual.

# 14828: 5-(32,16,7628985)

• clan: 13-(32,16,567), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,3108105) (# 14826)
• supplementary design of 6-(32,16,2203630) (# 15764) with respect to smaller t
• design 6-(32,16,3108105) (# 15768) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,4520880) (# 15771) : der= 5-(31,15,3108105) and res= 5-(31,16,4520880) - the given design is the residual.

# 14829: 7-(27,12,6480)

• clan: 13-(32,16,405), 1 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$ many isomorphism types

# 14830: 6-(26,12,16200)

• clan: 13-(32,16,405), 1 times reduced t, 4 times derived, 2 times residual
• residual design of 7-(27,12,6480) (# 14829)

# 14831: 6-(27,12,31584)

• clan: 13-(32,16,564), 2 times reduced t, 4 times derived, 1 times residual
• supplementary design of 7-(27,12,6480) (# 14829) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,12,22560) (# 14832) : der= 6-(26,11,9024) and res= 6-(26,12,22560) - the given design is the residual.
• residual design of supplementary of 7-(28,12,8505) (# 14833)
• derived from supplementary of 7-(28,13,22680) (# 15411)

# 14832: 6-(26,12,22560)

• clan: 13-(32,16,564), 1 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 7-(27,12,6480) (# 14829)

# 14833: 7-(28,12,8505)

• clan: 13-(32,16,405), 2 times reduced t, 4 times derived
• Tran van Trung construction (left) for 7-(27,12,6480) (# 14829) : der= 7-(27,11,2025) and res= 7-(27,12,6480) - the given design is the residual.
• TvT: 7-(27,11,2025) $\cup$ 7-(27,12,6480) (>= 3374317419594730345500 isomorphism types)

# 14834: 5-(25,12,32400)

• clan: 13-(32,16,405), 1 times reduced t, 4 times derived, 3 times residual
• residual design of 6-(26,12,16200) (# 14830)
• residual design of supplementary of 6-(26,12,22560) (# 14832)

# 14835: 5-(25,12,45120)

• clan: 13-(32,16,564), 1 times reduced t, 4 times derived, 3 times residual
• residual design of supplementary of 6-(26,12,16200) (# 14830)
• residual design of 6-(26,12,22560) (# 14832)

# 14836: 6-(28,12,43428)

• clan: 13-(32,16,564), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,31584) (# 14831) : der= 6-(27,11,11844) and res= 6-(27,12,31584) - the given design is the residual.
• supplementary design of 7-(28,12,8505) (# 14833) with respect to smaller t
• derived from supplementary of 7-(29,13,31185) (# 15415)

# 14837: 5-(26,13,85050)

• clan: 13-(32,16,405), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,32400) (# 14834)
• residual design of 6-(27,13,48600) (# 15412)
• residual design of supplementary of 6-(27,13,67680) (# 15414)
• derived from 6-(27,14,85050) (# 15424)
• derived from supplementary of 6-(27,14,118440) (# 15425)

# 14838: 5-(26,13,118440)

• clan: 13-(32,16,564), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,45120) (# 14835)
• residual design of supplementary of 6-(27,13,48600) (# 15412)
• residual design of 6-(27,13,67680) (# 15414)
• derived from supplementary of 6-(27,14,85050) (# 15424)
• derived from 6-(27,14,118440) (# 15425)

# 14839: 7-(27,12,7080)

• clan: 11-(30,15,1770), 1 times reduced t, 3 times derived
• $ASL(3,3)$
• derived from 8-(28,13,7080) (# 17927)

# 14840: 6-(26,11,7080)

• clan: 11-(30,15,1770), 1 times reduced t, 4 times derived
• derived from 7-(27,12,7080) (# 14839)
• derived from supplementary of 7-(27,12,8424) (# 17930)

# 14841: 6-(26,12,17700)

• clan: 11-(30,15,1770), 1 times reduced t, 3 times derived, 1 times residual
• residual design of 7-(27,12,7080) (# 14839)
• derived from 7-(27,13,17700) (# 17928)
• residual design of supplementary of 7-(27,12,8424) (# 17930)
• derived from supplementary of 7-(27,13,21060) (# 17931)

# 14842: 6-(27,12,29484)

• clan: 11-(30,15,2106), 2 times reduced t, 3 times derived
• supplementary design of 7-(27,12,7080) (# 14839) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,11,8424) (# 14843) : der= 6-(26,11,8424) and res= 6-(26,12,21060) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,12,21060) (# 14844) : der= 6-(26,11,8424) and res= 6-(26,12,21060) - the given design is the residual.
• derived from supplementary of 7-(28,13,24780) (# 15458)
• derived from 7-(28,13,29484) (# 17929)
• design 7-(27,12,8424) (# 17930) with respect to smaller t

# 14843: 6-(26,11,8424)

• clan: 11-(30,15,2106), 1 times reduced t, 4 times derived
• derived from supplementary of 7-(27,12,7080) (# 14839)
• derived from 7-(27,12,8424) (# 17930)

# 14844: 6-(26,12,21060)

• clan: 11-(30,15,2106), 1 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 7-(27,12,7080) (# 14839)
• derived from supplementary of 7-(27,13,17700) (# 17928)
• residual design of 7-(27,12,8424) (# 17930)
• derived from 7-(27,13,21060) (# 17931)

# 14845: 5-(25,11,17700)

• clan: 11-(30,15,1770), 1 times reduced t, 4 times derived, 1 times residual
• residual design of 6-(26,11,7080) (# 14840)
• derived from 6-(26,12,17700) (# 14841)
• residual design of supplementary of 6-(26,11,8424) (# 14843)
• derived from supplementary of 6-(26,12,21060) (# 14844)

# 14846: 5-(25,10,8424)

• clan: 11-(30,15,2106), 1 times reduced t, 5 times derived
• derived from supplementary of 6-(26,11,7080) (# 14840)
• derived from 6-(26,11,8424) (# 14843)

# 14847: 5-(25,11,21060)

• clan: 11-(30,15,2106), 1 times reduced t, 4 times derived, 1 times residual
• residual design of supplementary of 6-(26,11,7080) (# 14840)
• derived from supplementary of 6-(26,12,17700) (# 14841)
• residual design of 6-(26,11,8424) (# 14843)
• derived from 6-(26,12,21060) (# 14844)

# 14848: 5-(25,12,35400)

• clan: 11-(30,15,1770), 1 times reduced t, 3 times derived, 2 times residual
• residual design of 6-(26,12,17700) (# 14841)
• residual design of supplementary of 6-(26,12,21060) (# 14844)
• derived from 6-(26,13,35400) (# 17932)
• derived from supplementary of 6-(26,13,42120) (# 17933)

# 14849: 5-(25,12,42120)

• clan: 11-(30,15,2106), 1 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 6-(26,12,17700) (# 14841)
• residual design of 6-(26,12,21060) (# 14844)
• derived from supplementary of 6-(26,13,35400) (# 17932)
• derived from 6-(26,13,42120) (# 17933)

# 14850: 6-(28,13,92664)

• clan: 11-(30,15,2106), 3 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(27,12,29484) (# 14842) : der= 6-(27,12,29484) and res= 6-(27,13,63180) - the given design is the derived.
• supplementary design of 7-(28,13,24780) (# 15458) with respect to smaller t
• derived from supplementary of 7-(29,14,77880) (# 15459)
• design 7-(28,13,29484) (# 17929) with respect to smaller t
• derived from 7-(29,14,92664) (# 17934)

# 14851: 7-(27,12,7128)

• clan: 11-(30,15,1782), 1 times reduced t, 3 times derived
• $ASL(3,3)$
• derived from 8-(28,13,7128) (# 17937)

# 14852: 6-(26,11,7128)

• clan: 11-(30,15,1782), 1 times reduced t, 4 times derived
• derived from 7-(27,12,7128) (# 14851)
• derived from supplementary of 7-(27,12,8376) (# 14867)

# 14853: 6-(26,12,17820)

• clan: 11-(30,15,1782), 1 times reduced t, 3 times derived, 1 times residual
• residual design of 7-(27,12,7128) (# 14851)
• residual design of supplementary of 7-(27,12,8376) (# 14867)
• derived from 7-(27,13,17820) (# 14960)
• derived from supplementary of 7-(27,13,20940) (# 17939)

# 14854: 6-(27,12,29316)

• clan: 11-(30,15,2094), 2 times reduced t, 3 times derived
• supplementary design of 7-(27,12,7128) (# 14851) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,11,8376) (# 14855) : der= 6-(26,11,8376) and res= 6-(26,12,20940) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,12,20940) (# 14856) : der= 6-(26,11,8376) and res= 6-(26,12,20940) - the given design is the residual.
• design 7-(27,12,8376) (# 14867) with respect to smaller t
• derived from supplementary of 7-(28,13,24948) (# 14961)
• derived from 7-(28,13,29316) (# 17938)

# 14855: 6-(26,11,8376)

• clan: 11-(30,15,2094), 1 times reduced t, 4 times derived
• derived from supplementary of 7-(27,12,7128) (# 14851)
• derived from 7-(27,12,8376) (# 14867)

# 14856: 6-(26,12,20940)

• clan: 11-(30,15,2094), 1 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 7-(27,12,7128) (# 14851)
• residual design of 7-(27,12,8376) (# 14867)
• derived from supplementary of 7-(27,13,17820) (# 14960)
• derived from 7-(27,13,20940) (# 17939)

# 14857: 5-(25,10,8376)

• clan: 11-(30,15,2094), 1 times reduced t, 5 times derived
• derived from supplementary of 6-(26,11,7128) (# 14852)
• derived from 6-(26,11,8376) (# 14855)

# 14858: 5-(25,11,20940)

• clan: 11-(30,15,2094), 1 times reduced t, 4 times derived, 1 times residual
• residual design of supplementary of 6-(26,11,7128) (# 14852)
• derived from supplementary of 6-(26,12,17820) (# 14853)
• residual design of 6-(26,11,8376) (# 14855)
• derived from 6-(26,12,20940) (# 14856)

# 14859: 6-(28,13,92136)

• clan: 11-(30,15,2094), 3 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(27,12,29316) (# 14854) : der= 6-(27,12,29316) and res= 6-(27,13,62820) - the given design is the derived.
• supplementary design of 7-(28,13,24948) (# 14961) with respect to smaller t
• derived from supplementary of 7-(29,14,78408) (# 14962)
• design 7-(28,13,29316) (# 17938) with respect to smaller t
• derived from 7-(29,14,92136) (# 17940)

# 14860: 7-(27,12,7728)

• clan: 13-(32,16,483), 1 times reduced t, 4 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$
• design 8-(27,12,1932) (# 17631) with respect to smaller t
• Tran van Trung construction (right) for 7-(26,11,1932) (# 17632) : der= 7-(26,11,1932) and res= 7-(26,12,5796) - the given design is the derived.

# 14861: 7-(28,12,10143)

• clan: 13-(32,16,483), 2 times reduced t, 4 times derived
• Tran van Trung construction (left) for 7-(27,12,7728) (# 14860) : der= 7-(27,11,2415) and res= 7-(27,12,7728) - the given design is the residual.

# 14862: 7-(28,13,27048)

• clan: 13-(32,16,483), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 7-(27,12,7728) (# 14860) : der= 7-(27,12,7728) and res= 7-(27,13,19320) - the given design is the derived.

# 14863: 7-(29,13,37191)

• clan: 13-(32,16,483), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 7-(28,12,10143) (# 14861) : der= 7-(28,12,10143) and res= 7-(28,13,27048) - the given design is the derived.
• Tran van Trung construction (left) for 7-(28,13,27048) (# 14862) : der= 7-(28,12,10143) and res= 7-(28,13,27048) - the given design is the residual.

# 14864: 7-(29,14,85008)

• clan: 13-(32,16,483), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 7-(28,13,27048) (# 14862) : der= 7-(28,13,27048) and res= 7-(28,14,57960) - the given design is the derived.

# 14865: 7-(30,14,122199)

• clan: 13-(32,16,483), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 7-(29,13,37191) (# 14863) : der= 7-(29,13,37191) and res= 7-(29,14,85008) - the given design is the derived.
• Tran van Trung construction (left) for 7-(29,14,85008) (# 14864) : der= 7-(29,13,37191) and res= 7-(29,14,85008) - the given design is the residual.

# 14866: 7-(31,15,366597)

• clan: 13-(32,16,483), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 7-(30,14,122199) (# 14865) : der= 7-(30,14,122199) and res= 7-(30,15,244398) - the given design is the derived.

# 14867: 7-(27,12,8376)

• clan: 11-(30,15,2094), 1 times reduced t, 3 times derived
• $ASL(3,3)$
• derived from supplementary of 8-(28,13,7128) (# 17937)

# 14868: 7-(27,13,10140)

• clan: 11-(30,15,1014), 1 times reduced t, 2 times derived, 1 times residual
• \cite{Sebille98} $AGL(3,3)$

# 14869: 6-(26,12,10140)

• clan: 11-(30,15,1014), 1 times reduced t, 3 times derived, 1 times residual
• derived from 7-(27,13,10140) (# 14868)

# 14870: 6-(26,13,20280)

• clan: 11-(30,15,1014), 1 times reduced t, 2 times derived, 2 times residual
• residual design of 7-(27,13,10140) (# 14868)

# 14871: 6-(26,12,28620)

• clan: 11-(30,15,2862), 1 times reduced t, 3 times derived, 1 times residual
• derived from supplementary of 7-(27,13,10140) (# 14868)

# 14872: 6-(26,13,57240)

• clan: 11-(30,15,2862), 1 times reduced t, 2 times derived, 2 times residual
• residual design of supplementary of 7-(27,13,10140) (# 14868)

# 14873: 5-(25,11,10140)

• clan: 11-(30,15,1014), 1 times reduced t, 4 times derived, 1 times residual
• derived from 6-(26,12,10140) (# 14869)
• derived from supplementary of 6-(26,12,28620) (# 14871)

# 14874: 5-(25,12,20280)

• clan: 11-(30,15,1014), 1 times reduced t, 3 times derived, 2 times residual
• residual design of 6-(26,12,10140) (# 14869)
• derived from 6-(26,13,20280) (# 14870)
• residual design of supplementary of 6-(26,12,28620) (# 14871)
• derived from supplementary of 6-(26,13,57240) (# 14872)

# 14875: 5-(25,11,28620)

• clan: 11-(30,15,2862), 1 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 6-(26,12,10140) (# 14869)
• derived from 6-(26,12,28620) (# 14871)

# 14876: 5-(25,12,57240)

• clan: 11-(30,15,2862), 1 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 6-(26,12,10140) (# 14869)
• derived from supplementary of 6-(26,13,20280) (# 14870)
• residual design of 6-(26,12,28620) (# 14871)
• derived from 6-(26,13,57240) (# 14872)

# 14877: 5-(25,13,32955)

• clan: 11-(30,15,1014), 1 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(26,13,20280) (# 14870)
• residual design of supplementary of 6-(26,13,57240) (# 14872)

# 14878: 5-(25,13,93015)

• clan: 11-(30,15,2862), 1 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(26,13,20280) (# 14870)
• residual design of 6-(26,13,57240) (# 14872)

# 14879: 5-(26,11,14196)

• clan: 11-(30,15,1014), 2 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(25,11,10140) (# 14873) : der= 5-(25,10,4056) and res= 5-(25,11,10140) - the given design is the residual.

# 14880: 5-(27,12,44616)

• clan: 11-(30,15,1014), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,14196) (# 14879) : der= 5-(26,11,14196) and res= 5-(26,12,30420) - the given design is the derived.

# 14881: 5-(28,13,128271)

• clan: 11-(30,15,1014), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,44616) (# 14880) : der= 5-(27,12,44616) and res= 5-(27,13,83655) - the given design is the derived.

# 14882: 5-(29,14,342056)

• clan: 11-(30,15,1014), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,128271) (# 14881) : der= 5-(28,13,128271) and res= 5-(28,14,213785) - the given design is the derived.

# 14883: 5-(30,15,855140)

• clan: 11-(30,15,1014), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,342056) (# 14882)

# 14884: 7-(27,13,13140)

• clan: 11-(30,15,1314), 1 times reduced t, 2 times derived, 1 times residual
• $ASL(3,3)$

# 14885: 6-(26,12,13140)

• clan: 11-(30,15,1314), 1 times reduced t, 3 times derived, 1 times residual
• derived from 7-(27,13,13140) (# 14884)

# 14886: 6-(26,13,26280)

• clan: 11-(30,15,1314), 1 times reduced t, 2 times derived, 2 times residual
• residual design of 7-(27,13,13140) (# 14884)

# 14887: 6-(26,12,25620)

• clan: 11-(30,15,2562), 1 times reduced t, 3 times derived, 1 times residual
• derived from supplementary of 7-(27,13,13140) (# 14884)

# 14888: 6-(26,13,51240)

• clan: 11-(30,15,2562), 1 times reduced t, 2 times derived, 2 times residual
• residual design of supplementary of 7-(27,13,13140) (# 14884)

# 14889: 5-(25,11,13140)

• clan: 11-(30,15,1314), 1 times reduced t, 4 times derived, 1 times residual
• derived from 6-(26,12,13140) (# 14885)
• derived from supplementary of 6-(26,12,25620) (# 14887)

# 14890: 5-(25,12,26280)

• clan: 11-(30,15,1314), 1 times reduced t, 3 times derived, 2 times residual
• residual design of 6-(26,12,13140) (# 14885)
• derived from 6-(26,13,26280) (# 14886)
• residual design of supplementary of 6-(26,12,25620) (# 14887)
• derived from supplementary of 6-(26,13,51240) (# 14888)

# 14891: 5-(25,11,25620)

• clan: 11-(30,15,2562), 1 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 6-(26,12,13140) (# 14885)
• derived from 6-(26,12,25620) (# 14887)

# 14892: 5-(25,12,51240)

• clan: 11-(30,15,2562), 1 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 6-(26,12,13140) (# 14885)
• derived from supplementary of 6-(26,13,26280) (# 14886)
• residual design of 6-(26,12,25620) (# 14887)
• derived from 6-(26,13,51240) (# 14888)

# 14893: 5-(25,13,42705)

• clan: 11-(30,15,1314), 1 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(26,13,26280) (# 14886)
• residual design of supplementary of 6-(26,13,51240) (# 14888)

# 14894: 5-(25,13,83265)

• clan: 11-(30,15,2562), 1 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(26,13,26280) (# 14886)
• residual design of 6-(26,13,51240) (# 14888)

# 14895: 5-(26,11,18396)

• clan: 11-(30,15,1314), 2 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(25,11,13140) (# 14889) : der= 5-(25,10,5256) and res= 5-(25,11,13140) - the given design is the residual.

# 14896: 5-(27,12,57816)

• clan: 11-(30,15,1314), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,18396) (# 14895) : der= 5-(26,11,18396) and res= 5-(26,12,39420) - the given design is the derived.

# 14897: 5-(28,13,166221)

• clan: 11-(30,15,1314), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,57816) (# 14896) : der= 5-(27,12,57816) and res= 5-(27,13,108405) - the given design is the derived.

# 14898: 5-(29,14,443256)

• clan: 11-(30,15,1314), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,166221) (# 14897) : der= 5-(28,13,166221) and res= 5-(28,14,277035) - the given design is the derived.

# 14899: 5-(30,15,1108140)

• clan: 11-(30,15,1314), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,443256) (# 14898)

created: Fri Oct 23 11:13:53 CEST 2009