t designs with small t, id ge 8800

• clan: 15-(32,16,12), 7 times derived, 3 times residual
• derived from supplementary of 6-(23,10,700) (# 8797)
• residual design of supplementary of 6-(23,9,200) (# 13436)
• residual design of 6-(23,9,480) (# 13438)

# 8801: 5-(22,10,4368)

• clan: 15-(32,16,12), 6 times derived, 4 times residual
• residual design of supplementary of 6-(23,10,700) (# 8797)
• derived from supplementary of 6-(23,11,1820) (# 9175)
• derived from 6-(23,11,4368) (# 9187)

# 8802: 5-(23,11,5460)

• clan: 15-(32,16,5), 1 times reduced t, 5 times derived, 4 times residual
• Tran van Trung construction (right) for 5-(22,10,1820) (# 8798) : der= 5-(22,10,1820) and res= 5-(22,11,3640) - the given design is the derived.
• design 6-(23,11,1820) (# 9175) with respect to smaller t
• derived from 6-(24,12,5460) (# 9176)
• residual design of 6-(24,11,2520) (# 9180)
• derived from supplementary of 6-(24,12,13104) (# 9186)
• supplementary design of 6-(23,11,4368) (# 9187) with respect to smaller t

# 8803: 5-(24,11,7980)

• clan: 15-(32,16,5), 2 times reduced t, 5 times derived, 3 times residual
• Tran van Trung construction (left) for 5-(23,11,5460) (# 8802) : der= 5-(23,10,2520) and res= 5-(23,11,5460) - the given design is the residual.
• design 6-(24,11,2520) (# 9180) with respect to smaller t
• derived from 6-(25,12,7980) (# 9184)
• derived from supplementary of 6-(25,12,19152) (# 9201)
• residual design of 6-(25,11,3420) (# 13443)

# 8804: 5-(25,11,11400)

• clan: 15-(32,16,5), 3 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,11,7980) (# 8803) : der= 5-(24,10,3420) and res= 5-(24,11,7980) - the given design is the residual.
• design 6-(25,11,3420) (# 13443) with respect to smaller t
• residual design of 6-(26,11,4560) (# 13444)
• derived from 6-(26,12,11400) (# 13445)

# 8805: 5-(25,12,22800)

• clan: 15-(32,16,5), 3 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(24,11,7980) (# 8803) : der= 5-(24,11,7980) and res= 5-(24,12,14820) - the given design is the derived.
• design 6-(25,12,7980) (# 9184) with respect to smaller t
• derived from 6-(26,13,22800) (# 9191)
• derived from supplementary of 6-(26,13,54720) (# 9200)
• supplementary design of 6-(25,12,19152) (# 9201) with respect to smaller t
• residual design of 6-(26,12,11400) (# 13445)

# 8806: 5-(26,11,15960)

• clan: 15-(32,16,5), 4 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,11,11400) (# 8804) : der= 5-(25,10,4560) and res= 5-(25,11,11400) - the given design is the residual.
• design 6-(26,11,4560) (# 13444) with respect to smaller t
• residual design of 6-(27,11,5985) (# 13446)
• derived from 6-(27,12,15960) (# 13447)

# 8807: 5-(26,12,34200)

• clan: 15-(32,16,5), 4 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(25,11,11400) (# 8804) : der= 5-(25,11,11400) and res= 5-(25,12,22800) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,22800) (# 8805) : der= 5-(25,11,11400) and res= 5-(25,12,22800) - the given design is the residual.
• design 6-(26,12,11400) (# 13445) with respect to smaller t
• residual design of 6-(27,12,15960) (# 13447)
• derived from 6-(27,13,34200) (# 13448)
• derived from supplementary of 6-(27,13,82080) (# 13459)

# 8808: 5-(26,13,59850)

• clan: 15-(32,16,5), 4 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,22800) (# 8805)
• design 6-(26,13,22800) (# 9191) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,37050) (# 9197) : der= 5-(25,12,22800) and res= 5-(25,13,37050) - the given design is the residual.
• supplementary design of 6-(26,13,54720) (# 9200) with respect to smaller t
• residual design of 6-(27,13,34200) (# 13448)
• derived from 6-(27,14,59850) (# 13457)
• residual design of supplementary of 6-(27,13,82080) (# 13459)
• derived from supplementary of 6-(27,14,143640) (# 13460)

# 8809: 5-(27,11,21945)

• clan: 15-(32,16,5), 5 times reduced t, 5 times derived
• Tran van Trung construction (left) for 5-(26,11,15960) (# 8806) : der= 5-(26,10,5985) and res= 5-(26,11,15960) - the given design is the residual.
• design 6-(27,11,5985) (# 13446) with respect to smaller t
• derived from 6-(28,12,21945) (# 13449)

# 8810: 5-(27,12,50160)

• clan: 15-(32,16,5), 5 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,15960) (# 8806) : der= 5-(26,11,15960) and res= 5-(26,12,34200) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,34200) (# 8807) : der= 5-(26,11,15960) and res= 5-(26,12,34200) - the given design is the residual.
• design 6-(27,12,15960) (# 13447) with respect to smaller t
• residual design of 6-(28,12,21945) (# 13449)
• derived from 6-(28,13,50160) (# 13450)

# 8811: 5-(27,13,94050)

• clan: 15-(32,16,5), 5 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(26,12,34200) (# 8807) : der= 5-(26,12,34200) and res= 5-(26,13,59850) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,13,59850) (# 8808) : der= 5-(26,12,34200) and res= 5-(26,13,59850) - the given design is the residual.
• design 6-(27,13,34200) (# 13448) with respect to smaller t
• residual design of 6-(28,13,50160) (# 13450)
• derived from 6-(28,14,94050) (# 13451)
• derived from supplementary of 6-(28,14,225720) (# 13458)
• supplementary design of 6-(27,13,82080) (# 13459) with respect to smaller t

# 8812: 5-(28,12,72105)

• clan: 15-(32,16,5), 6 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,21945) (# 8809) : der= 5-(27,11,21945) and res= 5-(27,12,50160) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,50160) (# 8810) : der= 5-(27,11,21945) and res= 5-(27,12,50160) - the given design is the residual.
• design 6-(28,12,21945) (# 13449) with respect to smaller t
• derived from 6-(29,13,72105) (# 13453)

# 8813: 5-(28,13,144210)

• clan: 15-(32,16,5), 6 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,50160) (# 8810) : der= 5-(27,12,50160) and res= 5-(27,13,94050) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,94050) (# 8811) : der= 5-(27,12,50160) and res= 5-(27,13,94050) - the given design is the residual.
• design 6-(28,13,50160) (# 13450) with respect to smaller t
• residual design of 6-(29,13,72105) (# 13453)
• derived from 6-(29,14,144210) (# 13454)
• derived from supplementary of 6-(29,14,346104) (# 13472)

# 8814: 5-(28,14,240350)

• clan: 15-(32,16,5), 6 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,94050) (# 8811)
• design 6-(28,14,94050) (# 13451) with respect to smaller t
• residual design of 6-(29,14,144210) (# 13454)
• Tran van Trung construction (left) for 5-(27,14,146300) (# 13455) : der= 5-(27,13,94050) and res= 5-(27,14,146300) - the given design is the residual.
• supplementary design of 6-(28,14,225720) (# 13458) with respect to smaller t
• derived from 6-(29,15,240350) (# 13470)
• residual design of supplementary of 6-(29,14,346104) (# 13472)
• derived from supplementary of 6-(29,15,576840) (# 13473)

# 8815: 5-(29,13,216315)

• clan: 15-(32,16,5), 7 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,72105) (# 8812) : der= 5-(28,12,72105) and res= 5-(28,13,144210) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,144210) (# 8813) : der= 5-(28,12,72105) and res= 5-(28,13,144210) - the given design is the residual.
• design 6-(29,13,72105) (# 13453) with respect to smaller t
• derived from 6-(30,14,216315) (# 13461)

# 8816: 5-(29,14,384560)

• clan: 15-(32,16,5), 7 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,144210) (# 8813) : der= 5-(28,13,144210) and res= 5-(28,14,240350) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,14,240350) (# 8814) : der= 5-(28,13,144210) and res= 5-(28,14,240350) - the given design is the residual.
• design 6-(29,14,144210) (# 13454) with respect to smaller t
• residual design of 6-(30,14,216315) (# 13461)
• derived from 6-(30,15,384560) (# 13462)
• derived from supplementary of 6-(30,15,922944) (# 13471)
• supplementary design of 6-(29,14,346104) (# 13472) with respect to smaller t

# 8817: 5-(30,14,600875)

• clan: 15-(32,16,5), 8 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,216315) (# 8815) : der= 5-(29,13,216315) and res= 5-(29,14,384560) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,384560) (# 8816) : der= 5-(29,13,216315) and res= 5-(29,14,384560) - the given design is the residual.
• design 6-(30,14,216315) (# 13461) with respect to smaller t
• derived from 6-(31,15,600875) (# 13467)
• derived from supplementary of 6-(31,15,1442100) (# 13483)

# 8818: 5-(30,15,961400)

• clan: 15-(32,16,5), 8 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,384560) (# 8816)
• design 6-(30,15,384560) (# 13462) with respect to smaller t
• residual design of 6-(31,15,600875) (# 13467)
• Tran van Trung construction (left) for 5-(29,15,576840) (# 13468) : der= 5-(29,14,384560) and res= 5-(29,15,576840) - the given design is the residual.
• supplementary design of 6-(30,15,922944) (# 13471) with respect to smaller t
• derived from 6-(31,16,961400) (# 13481)
• residual design of supplementary of 6-(31,15,1442100) (# 13483)
• derived from supplementary of 6-(31,16,2307360) (# 13484)

# 8819: 5-(31,15,1562275)

• clan: 15-(32,16,5), 9 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,600875) (# 8817) : der= 5-(30,14,600875) and res= 5-(30,15,961400) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,961400) (# 8818) : der= 5-(30,14,600875) and res= 5-(30,15,961400) - the given design is the residual.
• design 6-(31,15,600875) (# 13467) with respect to smaller t
• derived from 6-(32,16,1562275) (# 13474)
• derived from supplementary of 6-(32,16,3749460) (# 13482)
• supplementary design of 6-(31,15,1442100) (# 13483) with respect to smaller t

# 8820: 5-(32,16,3834675)

• clan: 15-(32,16,5), 10 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1562275) (# 8819)
• design 6-(32,16,1562275) (# 13474) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,2272400) (# 13479) : der= 5-(31,15,1562275) and res= 5-(31,16,2272400) - the given design is the residual.
• supplementary design of 6-(32,16,3749460) (# 13482) with respect to smaller t

# 8821: 6-(23,11,1008)

• clan: 7-(24,12,1008), 1 times derived
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,1008) (# 8823)
• derived from supplementary of 7-(24,12,5180) (# 8836)

# 8822: 6-(24,12,3024)

• clan: 7-(24,12,1008), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1008) (# 8821)
• Tran van Trung construction (right) for 6-(23,11,1008) (# 8821) : der= 6-(23,11,1008) and res= 6-(23,12,2016) - the given design is the derived.
• design 7-(24,12,1008) (# 8823) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2016) (# 8824) : der= 6-(23,11,1008) and res= 6-(23,12,2016) - the given design is the residual.
• supplementary design of 7-(24,12,5180) (# 8836) with respect to smaller t

# 8823: 7-(24,12,1008)

• clan: 7-(24,12,1008)
• Alltop construction for design 6-(23,11,1008) (# 8821)

# 8824: 6-(23,12,2016)

• clan: 7-(24,12,1008), 1 times residual
• complementary design of 6-(23,11,1008) (# 8821)
• residual design of 7-(24,12,1008) (# 8823)
• residual design of supplementary of 7-(24,12,5180) (# 8836)

# 8825: 5-(23,11,15540)

• clan: 7-(24,12,5180), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1008) (# 8821) with respect to smaller t
• derived from supplementary of 6-(24,12,3024) (# 8822)
• Tran van Trung construction (right) for 5-(22,10,5180) (# 8826) : der= 5-(22,10,5180) and res= 5-(22,11,10360) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,10360) (# 8827) : der= 5-(22,10,5180) and res= 5-(22,11,10360) - the given design is the residual.
• derived from 6-(24,12,15540) (# 8831)
• design 6-(23,11,5180) (# 8832) with respect to smaller t

# 8826: 5-(22,10,5180)

• clan: 7-(24,12,5180), 2 times derived
• derived from supplementary of 6-(23,11,1008) (# 8821)
• derived from 6-(23,11,5180) (# 8832)

# 8827: 5-(22,11,10360)

• clan: 7-(24,12,5180), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1008) (# 8821)
• derived from supplementary of 6-(23,12,2016) (# 8824)
• residual design of 6-(23,11,5180) (# 8832)
• derived from 6-(23,12,10360) (# 8833)

# 8828: 5-(23,12,5184)

• clan: 7-(24,12,1008), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,3024) (# 8822)
• design 6-(23,12,2016) (# 8824) with respect to smaller t
• residual design of supplementary of 6-(24,12,15540) (# 8831)
• supplementary design of 6-(23,12,10360) (# 8833) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,3168) (# 8834) : der= 5-(22,11,2016) and res= 5-(22,12,3168) - the given design is the residual.

# 8829: 5-(24,12,42180)

• clan: 7-(24,12,5180), 2 times reduced t
• supplementary design of 6-(24,12,3024) (# 8822) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,15540) (# 8825)
• Tran van Trung construction (right) for 5-(23,11,15540) (# 8825) : der= 5-(23,11,15540) and res= 5-(23,12,26640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,26640) (# 8830) : der= 5-(23,11,15540) and res= 5-(23,12,26640) - the given design is the residual.
• design 6-(24,12,15540) (# 8831) with respect to smaller t

# 8830: 5-(23,12,26640)

• clan: 7-(24,12,5180), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,3024) (# 8822)
• supplementary design of 6-(23,12,2016) (# 8824) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,11,10360) (# 8827) : der= 5-(22,11,10360) and res= 5-(22,12,16280) - the given design is the derived.
• residual design of 6-(24,12,15540) (# 8831)
• design 6-(23,12,10360) (# 8833) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,16280) (# 8835) : der= 5-(22,11,10360) and res= 5-(22,12,16280) - the given design is the residual.

# 8831: 6-(24,12,15540)

• clan: 7-(24,12,5180), 1 times reduced t
• supplementary design of 7-(24,12,1008) (# 8823) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,5180) (# 8832)
• Tran van Trung construction (right) for 6-(23,11,5180) (# 8832) : der= 6-(23,11,5180) and res= 6-(23,12,10360) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,10360) (# 8833) : der= 6-(23,11,5180) and res= 6-(23,12,10360) - the given design is the residual.
• design 7-(24,12,5180) (# 8836) with respect to smaller t

# 8832: 6-(23,11,5180)

• clan: 7-(24,12,5180), 1 times derived
• derived from supplementary of 7-(24,12,1008) (# 8823)
• derived from 7-(24,12,5180) (# 8836)

# 8833: 6-(23,12,10360)

• clan: 7-(24,12,5180), 1 times residual
• residual design of supplementary of 7-(24,12,1008) (# 8823)
• residual design of 7-(24,12,5180) (# 8836)

# 8834: 5-(22,12,3168)

• clan: 7-(24,12,1008), 2 times residual
• residual design of 6-(23,12,2016) (# 8824)
• residual design of supplementary of 6-(23,12,10360) (# 8833)

# 8835: 5-(22,12,16280)

• clan: 7-(24,12,5180), 2 times residual
• residual design of supplementary of 6-(23,12,2016) (# 8824)
• residual design of 6-(23,12,10360) (# 8833)

# 8836: 7-(24,12,5180)

• clan: 7-(24,12,5180)
• Alltop construction for design 6-(23,11,5180) (# 8832)

# 8837: 6-(23,11,1022)

• clan: 7-(24,12,1022), 1 times derived
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,1022) (# 8839)
• derived from supplementary of 7-(24,12,5166) (# 8852)

# 8838: 6-(24,12,3066)

• clan: 7-(24,12,1022), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1022) (# 8837)
• Tran van Trung construction (right) for 6-(23,11,1022) (# 8837) : der= 6-(23,11,1022) and res= 6-(23,12,2044) - the given design is the derived.
• design 7-(24,12,1022) (# 8839) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2044) (# 8840) : der= 6-(23,11,1022) and res= 6-(23,12,2044) - the given design is the residual.
• supplementary design of 7-(24,12,5166) (# 8852) with respect to smaller t

# 8839: 7-(24,12,1022)

• clan: 7-(24,12,1022)
• Alltop construction for design 6-(23,11,1022) (# 8837)

# 8840: 6-(23,12,2044)

• clan: 7-(24,12,1022), 1 times residual
• complementary design of 6-(23,11,1022) (# 8837)
• residual design of 7-(24,12,1022) (# 8839)
• residual design of supplementary of 7-(24,12,5166) (# 8852)

# 8841: 5-(23,11,15498)

• clan: 7-(24,12,5166), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1022) (# 8837) with respect to smaller t
• derived from supplementary of 6-(24,12,3066) (# 8838)
• Tran van Trung construction (right) for 5-(22,10,5166) (# 8842) : der= 5-(22,10,5166) and res= 5-(22,11,10332) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,10332) (# 8843) : der= 5-(22,10,5166) and res= 5-(22,11,10332) - the given design is the residual.
• derived from 6-(24,12,15498) (# 8847)
• design 6-(23,11,5166) (# 8848) with respect to smaller t

# 8842: 5-(22,10,5166)

• clan: 7-(24,12,5166), 2 times derived
• derived from supplementary of 6-(23,11,1022) (# 8837)
• derived from 6-(23,11,5166) (# 8848)

# 8843: 5-(22,11,10332)

• clan: 7-(24,12,5166), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1022) (# 8837)
• derived from supplementary of 6-(23,12,2044) (# 8840)
• residual design of 6-(23,11,5166) (# 8848)
• derived from 6-(23,12,10332) (# 8849)

# 8844: 5-(23,12,5256)

• clan: 7-(24,12,1022), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,3066) (# 8838)
• design 6-(23,12,2044) (# 8840) with respect to smaller t
• residual design of supplementary of 6-(24,12,15498) (# 8847)
• supplementary design of 6-(23,12,10332) (# 8849) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,3212) (# 8850) : der= 5-(22,11,2044) and res= 5-(22,12,3212) - the given design is the residual.

# 8845: 5-(24,12,42066)

• clan: 7-(24,12,5166), 2 times reduced t
• supplementary design of 6-(24,12,3066) (# 8838) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,15498) (# 8841)
• Tran van Trung construction (right) for 5-(23,11,15498) (# 8841) : der= 5-(23,11,15498) and res= 5-(23,12,26568) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,26568) (# 8846) : der= 5-(23,11,15498) and res= 5-(23,12,26568) - the given design is the residual.
• design 6-(24,12,15498) (# 8847) with respect to smaller t

# 8846: 5-(23,12,26568)

• clan: 7-(24,12,5166), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,3066) (# 8838)
• supplementary design of 6-(23,12,2044) (# 8840) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,11,10332) (# 8843) : der= 5-(22,11,10332) and res= 5-(22,12,16236) - the given design is the derived.
• residual design of 6-(24,12,15498) (# 8847)
• design 6-(23,12,10332) (# 8849) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,16236) (# 8851) : der= 5-(22,11,10332) and res= 5-(22,12,16236) - the given design is the residual.

# 8847: 6-(24,12,15498)

• clan: 7-(24,12,5166), 1 times reduced t
• supplementary design of 7-(24,12,1022) (# 8839) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,5166) (# 8848)
• Tran van Trung construction (right) for 6-(23,11,5166) (# 8848) : der= 6-(23,11,5166) and res= 6-(23,12,10332) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,10332) (# 8849) : der= 6-(23,11,5166) and res= 6-(23,12,10332) - the given design is the residual.
• design 7-(24,12,5166) (# 8852) with respect to smaller t

# 8848: 6-(23,11,5166)

• clan: 7-(24,12,5166), 1 times derived
• derived from supplementary of 7-(24,12,1022) (# 8839)
• derived from 7-(24,12,5166) (# 8852)

# 8849: 6-(23,12,10332)

• clan: 7-(24,12,5166), 1 times residual
• residual design of supplementary of 7-(24,12,1022) (# 8839)
• residual design of 7-(24,12,5166) (# 8852)

# 8850: 5-(22,12,3212)

• clan: 7-(24,12,1022), 2 times residual
• residual design of 6-(23,12,2044) (# 8840)
• residual design of supplementary of 6-(23,12,10332) (# 8849)

# 8851: 5-(22,12,16236)

• clan: 7-(24,12,5166), 2 times residual
• residual design of supplementary of 6-(23,12,2044) (# 8840)
• residual design of 6-(23,12,10332) (# 8849)

# 8852: 7-(24,12,5166)

• clan: 7-(24,12,5166)
• Alltop construction for design 6-(23,11,5166) (# 8848)

# 8853: 6-(23,11,1092)

• clan: 15-(32,16,3), 5 times derived, 4 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,1092) (# 8855)
• derived from supplementary of 7-(24,12,5096) (# 8873)

# 8854: 6-(24,12,3276)

• clan: 15-(32,16,3), 1 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 6-(23,11,1092) (# 8853)
• design 7-(24,12,1092) (# 8855) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2184) (# 8863) : der= 6-(23,11,1092) and res= 6-(23,12,2184) - the given design is the residual.
• supplementary design of 7-(24,12,5096) (# 8873) with respect to smaller t

# 8855: 7-(24,12,1092)

• clan: 15-(32,16,3), 4 times derived, 4 times residual
• Alltop construction for design 6-(23,11,1092) (# 8853)

# 8856: 5-(23,11,15288)

• clan: 15-(32,16,14), 1 times reduced t, 5 times derived, 4 times residual
• supplementary design of 6-(23,11,1092) (# 8853) with respect to smaller t
• derived from supplementary of 6-(24,12,3276) (# 8854)
• Tran van Trung construction (left) for 5-(22,11,10192) (# 8857) : der= 5-(22,10,5096) and res= 5-(22,11,10192) - the given design is the residual.
• residual design of supplementary of 6-(24,11,1512) (# 8858)
• derived from 6-(24,12,15288) (# 8864)
• design 6-(23,11,5096) (# 8865) with respect to smaller t

# 8857: 5-(22,11,10192)

• clan: 15-(32,16,14), 5 times derived, 5 times residual
• residual design of supplementary of 6-(23,11,1092) (# 8853)
• derived from supplementary of 6-(23,12,2184) (# 8863)
• residual design of 6-(23,11,5096) (# 8865)
• derived from 6-(23,12,10192) (# 8866)

# 8858: 6-(24,11,1512)

• clan: 15-(32,16,3), 1 times reduced t, 5 times derived, 3 times residual
• Tran van Trung construction (left) for 6-(23,11,1092) (# 8853) : der= 6-(23,10,420) and res= 6-(23,11,1092) - the given design is the residual.

# 8859: 5-(23,12,5616)

• clan: 15-(32,16,3), 1 times reduced t, 4 times derived, 5 times residual
• residual design of 6-(24,12,3276) (# 8854)
• design 6-(23,12,2184) (# 8863) with respect to smaller t
• residual design of supplementary of 6-(24,12,15288) (# 8864)
• supplementary design of 6-(23,12,10192) (# 8866) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,3432) (# 8871) : der= 5-(22,11,2184) and res= 5-(22,12,3432) - the given design is the residual.

# 8860: 5-(24,12,41496)

• clan: 15-(32,16,14), 2 times reduced t, 4 times derived, 4 times residual
• supplementary design of 6-(24,12,3276) (# 8854) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,15288) (# 8856)
• Tran van Trung construction (right) for 5-(23,11,15288) (# 8856) : der= 5-(23,11,15288) and res= 5-(23,12,26208) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,26208) (# 8861) : der= 5-(23,11,15288) and res= 5-(23,12,26208) - the given design is the residual.
• residual design of supplementary of 6-(25,12,4788) (# 8862)
• design 6-(24,12,15288) (# 8864) with respect to smaller t
• derived from supplementary of 6-(25,13,8892) (# 8877)
• residual design of 6-(25,12,22344) (# 8879)
• derived from 6-(25,13,41496) (# 8880)

# 8861: 5-(23,12,26208)

• clan: 15-(32,16,14), 1 times reduced t, 4 times derived, 5 times residual
• residual design of supplementary of 6-(24,12,3276) (# 8854)
• supplementary design of 6-(23,12,2184) (# 8863) with respect to smaller t
• residual design of 6-(24,12,15288) (# 8864)
• design 6-(23,12,10192) (# 8866) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,16016) (# 8872) : der= 5-(22,11,10192) and res= 5-(22,12,16016) - the given design is the residual.

# 8862: 6-(25,12,4788)

• clan: 15-(32,16,3), 2 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 6-(24,12,3276) (# 8854) : der= 6-(24,11,1512) and res= 6-(24,12,3276) - the given design is the residual.
• Tran van Trung construction (right) for 6-(24,11,1512) (# 8858) : der= 6-(24,11,1512) and res= 6-(24,12,3276) - the given design is the derived.
• derived from 7-(26,13,4788) (# 8870)
• derived from supplementary of 7-(26,13,22344) (# 8883)

# 8863: 6-(23,12,2184)

• clan: 15-(32,16,3), 4 times derived, 5 times residual
• residual design of 7-(24,12,1092) (# 8855)
• residual design of supplementary of 7-(24,12,5096) (# 8873)

# 8864: 6-(24,12,15288)

• clan: 15-(32,16,14), 1 times reduced t, 4 times derived, 4 times residual
• supplementary design of 7-(24,12,1092) (# 8855) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,5096) (# 8865)
• Tran van Trung construction (right) for 6-(23,11,5096) (# 8865) : der= 6-(23,11,5096) and res= 6-(23,12,10192) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,10192) (# 8866) : der= 6-(23,11,5096) and res= 6-(23,12,10192) - the given design is the residual.
• design 7-(24,12,5096) (# 8873) with respect to smaller t

# 8865: 6-(23,11,5096)

• clan: 15-(32,16,14), 5 times derived, 4 times residual
• derived from supplementary of 7-(24,12,1092) (# 8855)
• derived from 7-(24,12,5096) (# 8873)

# 8866: 6-(23,12,10192)

• clan: 15-(32,16,14), 4 times derived, 5 times residual
• residual design of supplementary of 7-(24,12,1092) (# 8855)
• residual design of 7-(24,12,5096) (# 8873)

# 8867: 5-(24,11,22344)

• clan: 15-(32,16,14), 2 times reduced t, 5 times derived, 3 times residual
• Tran van Trung construction (left) for 5-(23,11,15288) (# 8856) : der= 5-(23,10,7056) and res= 5-(23,11,15288) - the given design is the residual.
• supplementary design of 6-(24,11,1512) (# 8858) with respect to smaller t
• derived from supplementary of 6-(25,12,4788) (# 8862)
• derived from 6-(25,12,22344) (# 8879)

# 8868: 5-(25,12,63840)

• clan: 15-(32,16,14), 3 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 5-(24,12,41496) (# 8860) : der= 5-(24,11,22344) and res= 5-(24,12,41496) - the given design is the residual.
• supplementary design of 6-(25,12,4788) (# 8862) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,11,22344) (# 8867) : der= 5-(24,11,22344) and res= 5-(24,12,41496) - the given design is the derived.
• derived from supplementary of 6-(26,13,13680) (# 8869)
• derived from 6-(26,13,63840) (# 8878)
• design 6-(25,12,22344) (# 8879) with respect to smaller t

# 8869: 6-(26,13,13680)

• clan: 15-(32,16,3), 3 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 6-(25,12,4788) (# 8862)
• design 7-(26,13,4788) (# 8870) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,13,8892) (# 8877) : der= 6-(25,12,4788) and res= 6-(25,13,8892) - the given design is the residual.
• supplementary design of 7-(26,13,22344) (# 8883) with respect to smaller t

# 8870: 7-(26,13,4788)

• clan: 15-(32,16,3), 2 times reduced t, 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,4788) (# 8862)

# 8871: 5-(22,12,3432)

• clan: 15-(32,16,3), 4 times derived, 6 times residual
• residual design of 6-(23,12,2184) (# 8863)
• residual design of supplementary of 6-(23,12,10192) (# 8866)

# 8872: 5-(22,12,16016)

• clan: 15-(32,16,14), 4 times derived, 6 times residual
• residual design of supplementary of 6-(23,12,2184) (# 8863)
• residual design of 6-(23,12,10192) (# 8866)

# 8873: 7-(24,12,5096)

• clan: 15-(32,16,14), 4 times derived, 4 times residual
• Alltop construction for design 6-(23,11,5096) (# 8865)

# 8874: 5-(26,13,167580)

• clan: 15-(32,16,14), 4 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,63840) (# 8868)
• supplementary design of 6-(26,13,13680) (# 8869) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,103740) (# 8876) : der= 5-(25,12,63840) and res= 5-(25,13,103740) - the given design is the residual.
• design 6-(26,13,63840) (# 8878) with respect to smaller t

# 8875: 5-(25,13,22230)

• clan: 15-(32,16,3), 3 times reduced t, 3 times derived, 4 times residual
• residual design of 6-(26,13,13680) (# 8869)
• design 6-(25,13,8892) (# 8877) with respect to smaller t
• residual design of supplementary of 6-(26,13,63840) (# 8878)
• supplementary design of 6-(25,13,41496) (# 8880) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,13338) (# 8881) : der= 5-(24,12,8892) and res= 5-(24,13,13338) - the given design is the residual.

# 8876: 5-(25,13,103740)

• clan: 15-(32,16,14), 3 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 6-(26,13,13680) (# 8869)
• supplementary design of 6-(25,13,8892) (# 8877) with respect to smaller t
• residual design of 6-(26,13,63840) (# 8878)
• design 6-(25,13,41496) (# 8880) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,62244) (# 8882) : der= 5-(24,12,41496) and res= 5-(24,13,62244) - the given design is the residual.

# 8877: 6-(25,13,8892)

• clan: 15-(32,16,3), 2 times reduced t, 3 times derived, 4 times residual
• residual design of 7-(26,13,4788) (# 8870)
• residual design of supplementary of 7-(26,13,22344) (# 8883)

# 8878: 6-(26,13,63840)

• clan: 15-(32,16,14), 3 times reduced t, 3 times derived, 3 times residual
• supplementary design of 7-(26,13,4788) (# 8870) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(25,12,22344) (# 8879)
• Tran van Trung construction (right) for 6-(25,12,22344) (# 8879) : der= 6-(25,12,22344) and res= 6-(25,13,41496) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,13,41496) (# 8880) : der= 6-(25,12,22344) and res= 6-(25,13,41496) - the given design is the residual.
• design 7-(26,13,22344) (# 8883) with respect to smaller t

# 8879: 6-(25,12,22344)

• clan: 15-(32,16,14), 2 times reduced t, 4 times derived, 3 times residual
• derived from supplementary of 7-(26,13,4788) (# 8870)
• derived from 7-(26,13,22344) (# 8883)

# 8880: 6-(25,13,41496)

• clan: 15-(32,16,14), 2 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 7-(26,13,4788) (# 8870)
• residual design of 7-(26,13,22344) (# 8883)

# 8881: 5-(24,13,13338)

• clan: 15-(32,16,3), 2 times reduced t, 3 times derived, 5 times residual
• residual design of 6-(25,13,8892) (# 8877)
• residual design of supplementary of 6-(25,13,41496) (# 8880)

# 8882: 5-(24,13,62244)

• clan: 15-(32,16,14), 2 times reduced t, 3 times derived, 5 times residual
• residual design of supplementary of 6-(25,13,8892) (# 8877)
• residual design of 6-(25,13,41496) (# 8880)

# 8883: 7-(26,13,22344)

• clan: 15-(32,16,14), 2 times reduced t, 3 times derived, 3 times residual
• Alltop construction for design 6-(25,12,22344) (# 8879)

# 8884: 6-(23,11,1148)

• clan: 7-(24,12,1148), 1 times derived
• $ {\bf PGL(2,19)}{\bf S}_{3}x$% -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
• derived from 7-(24,12,1148) (# 8886)
• derived from supplementary of 7-(24,12,5040) (# 8899)

# 8885: 6-(24,12,3444)

• clan: 7-(24,12,1148), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1148) (# 8884)
• design 7-(24,12,1148) (# 8886) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2296) (# 8893) : der= 6-(23,11,1148) and res= 6-(23,12,2296) - the given design is the residual.
• supplementary design of 7-(24,12,5040) (# 8899) with respect to smaller t

# 8886: 7-(24,12,1148)

• clan: 7-(24,12,1148)
• Alltop construction for design 6-(23,11,1148) (# 8884)

# 8887: 5-(23,11,15120)

• clan: 7-(24,12,5040), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,1148) (# 8884) with respect to smaller t
• derived from supplementary of 6-(24,12,3444) (# 8885)
• Tran van Trung construction (right) for 5-(22,10,5040) (# 8888) : der= 5-(22,10,5040) and res= 5-(22,11,10080) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,10080) (# 8889) : der= 5-(22,10,5040) and res= 5-(22,11,10080) - the given design is the residual.
• derived from 6-(24,12,15120) (# 8894)
• design 6-(23,11,5040) (# 8895) with respect to smaller t

# 8888: 5-(22,10,5040)

• clan: 7-(24,12,5040), 2 times derived
• derived from supplementary of 6-(23,11,1148) (# 8884)
• derived from 6-(23,11,5040) (# 8895)

# 8889: 5-(22,11,10080)

• clan: 7-(24,12,5040), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,1148) (# 8884)
• derived from supplementary of 6-(23,12,2296) (# 8893)
• residual design of 6-(23,11,5040) (# 8895)
• derived from 6-(23,12,10080) (# 8896)

# 8890: 5-(23,12,5904)

• clan: 7-(24,12,1148), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,3444) (# 8885)
• design 6-(23,12,2296) (# 8893) with respect to smaller t
• residual design of supplementary of 6-(24,12,15120) (# 8894)
• supplementary design of 6-(23,12,10080) (# 8896) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,3608) (# 8897) : der= 5-(22,11,2296) and res= 5-(22,12,3608) - the given design is the residual.

# 8891: 5-(24,12,41040)

• clan: 7-(24,12,5040), 2 times reduced t
• supplementary design of 6-(24,12,3444) (# 8885) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,15120) (# 8887)
• Tran van Trung construction (right) for 5-(23,11,15120) (# 8887) : der= 5-(23,11,15120) and res= 5-(23,12,25920) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,25920) (# 8892) : der= 5-(23,11,15120) and res= 5-(23,12,25920) - the given design is the residual.
• design 6-(24,12,15120) (# 8894) with respect to smaller t

# 8892: 5-(23,12,25920)

• clan: 7-(24,12,5040), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,3444) (# 8885)
• supplementary design of 6-(23,12,2296) (# 8893) with respect to smaller t
• residual design of 6-(24,12,15120) (# 8894)
• design 6-(23,12,10080) (# 8896) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,15840) (# 8898) : der= 5-(22,11,10080) and res= 5-(22,12,15840) - the given design is the residual.

# 8893: 6-(23,12,2296)

• clan: 7-(24,12,1148), 1 times residual
• residual design of 7-(24,12,1148) (# 8886)
• residual design of supplementary of 7-(24,12,5040) (# 8899)

# 8894: 6-(24,12,15120)

• clan: 7-(24,12,5040), 1 times reduced t
• supplementary design of 7-(24,12,1148) (# 8886) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,5040) (# 8895)
• Tran van Trung construction (right) for 6-(23,11,5040) (# 8895) : der= 6-(23,11,5040) and res= 6-(23,12,10080) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,10080) (# 8896) : der= 6-(23,11,5040) and res= 6-(23,12,10080) - the given design is the residual.
• design 7-(24,12,5040) (# 8899) with respect to smaller t

# 8895: 6-(23,11,5040)

• clan: 7-(24,12,5040), 1 times derived
• derived from supplementary of 7-(24,12,1148) (# 8886)
• derived from 7-(24,12,5040) (# 8899)

# 8896: 6-(23,12,10080)

• clan: 7-(24,12,5040), 1 times residual
• residual design of supplementary of 7-(24,12,1148) (# 8886)
• residual design of 7-(24,12,5040) (# 8899)

# 8897: 5-(22,12,3608)

• clan: 7-(24,12,1148), 2 times residual
• residual design of 6-(23,12,2296) (# 8893)
• residual design of supplementary of 6-(23,12,10080) (# 8896)

# 8898: 5-(22,12,15840)

• clan: 7-(24,12,5040), 2 times residual
• residual design of supplementary of 6-(23,12,2296) (# 8893)
• residual design of 6-(23,12,10080) (# 8896)

# 8899: 7-(24,12,5040)

• clan: 7-(24,12,5040)
• Alltop construction for design 6-(23,11,5040) (# 8895)

created: Fri Oct 23 11:12:07 CEST 2009