t designs with small t, id ge 17600

• clan: 13-(32,16,645), 4 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(28,14,212850) (# 17588) : der= 6-(28,13,113520) and res= 6-(28,14,212850) - the given design is the residual.
• Tran van Trung construction (right) for 6-(28,13,113520) (# 17590) : der= 6-(28,13,113520) and res= 6-(28,14,212850) - the given design is the derived.
• supplementary design of 7-(29,14,57024) (# 17597) with respect to smaller t
• design 7-(29,14,113520) (# 17601) with respect to smaller t
• derived from supplementary of 7-(30,15,163944) (# 17604)
• residual design of supplementary of 7-(30,14,81972) (# 17608)
• derived from 7-(30,15,326370) (# 17610)

# 17601: 7-(29,14,113520)

• clan: 13-(32,16,645), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 7-(28,14,77400) (# 17589) : der= 7-(28,13,36120) and res= 7-(28,14,77400) - the given design is the residual.
• Tran van Trung construction (right) for 7-(28,13,36120) (# 17591) : der= 7-(28,13,36120) and res= 7-(28,14,77400) - the given design is the derived.

# 17602: 6-(29,13,163185)

• clan: 13-(32,16,645), 4 times reduced t, 3 times derived
• Tran van Trung construction (left) for 6-(28,13,113520) (# 17590) : der= 6-(28,12,49665) and res= 6-(28,13,113520) - the given design is the residual.
• supplementary design of 7-(29,13,24948) (# 17599) with respect to smaller t
• derived from supplementary of 7-(30,14,81972) (# 17608)

# 17603: 6-(30,15,437184)

• clan: 13-(32,16,324), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(29,14,163944) (# 17594)
• design 7-(30,15,163944) (# 17604) with respect to smaller t
• supplementary design of 7-(30,15,326370) (# 17610) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,15,273240) (# 17615) : der= 6-(29,14,163944) and res= 6-(29,15,273240) - the given design is the residual.
• residual design of 7-(31,15,245916) (# 17617)

# 17604: 7-(30,15,163944)

• clan: 13-(32,16,324), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(29,14,163944) (# 17594)
• Tran van Trung construction with complementary design for 7-(29,14,57024) (# 17597)

# 17605: 6-(30,14,245916)

• clan: 13-(32,16,324), 5 times reduced t, 2 times derived
• Tran van Trung construction (left) for 6-(29,14,163944) (# 17594) : der= 6-(29,13,81972) and res= 6-(29,14,163944) - the given design is the residual.
• Tran van Trung construction (right) for 6-(29,13,81972) (# 17598) : der= 6-(29,13,81972) and res= 6-(29,14,163944) - the given design is the derived.
• design 7-(30,14,81972) (# 17608) with respect to smaller t
• derived from 7-(31,15,245916) (# 17617)

# 17606: 5-(26,14,98280)

• clan: 13-(32,16,324), 2 times reduced t, 2 times derived, 4 times residual
• residual design of 6-(27,14,68040) (# 17595)
• residual design of supplementary of 6-(27,14,135450) (# 17596)

# 17607: 5-(26,14,195650)

• clan: 13-(32,16,645), 2 times reduced t, 2 times derived, 4 times residual
• residual design of supplementary of 6-(27,14,68040) (# 17595)
• residual design of 6-(27,14,135450) (# 17596)

# 17608: 7-(30,14,81972)

• clan: 13-(32,16,324), 4 times reduced t, 2 times derived
• Tran van Trung construction (left) for 7-(29,14,57024) (# 17597) : der= 7-(29,13,24948) and res= 7-(29,14,57024) - the given design is the residual.
• Tran van Trung construction (right) for 7-(29,13,24948) (# 17599) : der= 7-(29,13,24948) and res= 7-(29,14,57024) - the given design is the derived.

# 17609: 6-(30,15,870320)

• clan: 13-(32,16,645), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(29,14,326370) (# 17600)
• supplementary design of 7-(30,15,163944) (# 17604) with respect to smaller t
• design 7-(30,15,326370) (# 17610) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,15,543950) (# 17616) : der= 6-(29,14,326370) and res= 6-(29,15,543950) - the given design is the residual.
• residual design of supplementary of 7-(31,15,245916) (# 17617)

# 17610: 7-(30,15,326370)

• clan: 13-(32,16,645), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(29,14,326370) (# 17600)
• Tran van Trung construction with complementary design for 7-(29,14,113520) (# 17601)

# 17611: 6-(30,14,489555)

• clan: 13-(32,16,645), 5 times reduced t, 2 times derived
• Tran van Trung construction (left) for 6-(29,14,326370) (# 17600) : der= 6-(29,13,163185) and res= 6-(29,14,326370) - the given design is the residual.
• Tran van Trung construction (right) for 6-(29,13,163185) (# 17602) : der= 6-(29,13,163185) and res= 6-(29,14,326370) - the given design is the derived.
• supplementary design of 7-(30,14,81972) (# 17608) with respect to smaller t
• derived from supplementary of 7-(31,15,245916) (# 17617)

# 17612: 5-(29,15,655776)

• clan: 13-(32,16,324), 5 times reduced t, 1 times derived, 2 times residual
• residual design of 6-(30,15,437184) (# 17603)
• residual design of supplementary of 6-(30,15,870320) (# 17609)
• design 6-(29,15,273240) (# 17615) with respect to smaller t
• supplementary design of 6-(29,15,543950) (# 17616) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,382536) (# 17621) : der= 5-(28,14,273240) and res= 5-(28,15,382536) - the given design is the residual.

# 17613: 5-(29,15,1305480)

• clan: 13-(32,16,645), 5 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 6-(30,15,437184) (# 17603)
• residual design of 6-(30,15,870320) (# 17609)
• supplementary design of 6-(29,15,273240) (# 17615) with respect to smaller t
• design 6-(29,15,543950) (# 17616) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,761530) (# 17622) : der= 5-(28,14,543950) and res= 5-(28,15,761530) - the given design is the residual.

# 17614: 6-(31,15,683100)

• clan: 13-(32,16,324), 6 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(30,15,437184) (# 17603) : der= 6-(30,14,245916) and res= 6-(30,15,437184) - the given design is the residual.
• Tran van Trung construction (right) for 6-(30,14,245916) (# 17605) : der= 6-(30,14,245916) and res= 6-(30,15,437184) - the given design is the derived.
• design 7-(31,15,245916) (# 17617) with respect to smaller t
• derived from 7-(32,16,683100) (# 17620)
• derived from supplementary of 7-(32,16,1359875) (# 17624)

# 17615: 6-(29,15,273240)

• clan: 13-(32,16,324), 4 times reduced t, 1 times derived, 2 times residual
• residual design of 7-(30,15,163944) (# 17604)
• residual design of supplementary of 7-(30,15,326370) (# 17610)

# 17616: 6-(29,15,543950)

• clan: 13-(32,16,645), 4 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 7-(30,15,163944) (# 17604)
• residual design of 7-(30,15,326370) (# 17610)

# 17617: 7-(31,15,245916)

• clan: 13-(32,16,324), 5 times reduced t, 1 times derived
• Tran van Trung construction (left) for 7-(30,15,163944) (# 17604) : der= 7-(30,14,81972) and res= 7-(30,15,163944) - the given design is the residual.
• Tran van Trung construction (right) for 7-(30,14,81972) (# 17608) : der= 7-(30,14,81972) and res= 7-(30,15,163944) - the given design is the derived.

# 17618: 6-(31,15,1359875)

• clan: 13-(32,16,645), 6 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(30,15,870320) (# 17609) : der= 6-(30,14,489555) and res= 6-(30,15,870320) - the given design is the residual.
• Tran van Trung construction (right) for 6-(30,14,489555) (# 17611) : der= 6-(30,14,489555) and res= 6-(30,15,870320) - the given design is the derived.
• supplementary design of 7-(31,15,245916) (# 17617) with respect to smaller t
• derived from supplementary of 7-(32,16,683100) (# 17620)
• derived from 7-(32,16,1359875) (# 17624)

# 17619: 6-(32,16,1776060)

• clan: 13-(32,16,324), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,683100) (# 17614)
• design 7-(32,16,683100) (# 17620) with respect to smaller t
• supplementary design of 7-(32,16,1359875) (# 17624) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,1092960) (# 17627) : der= 6-(31,15,683100) and res= 6-(31,16,1092960) - the given design is the residual.

# 17620: 7-(32,16,683100)

• clan: 13-(32,16,324), 6 times reduced t
• Alltop construction for design 6-(31,15,683100) (# 17614)
• Tran van Trung construction with complementary design for 7-(31,15,245916) (# 17617)

# 17621: 5-(28,15,382536)

• clan: 13-(32,16,324), 4 times reduced t, 1 times derived, 3 times residual
• residual design of 6-(29,15,273240) (# 17615)
• residual design of supplementary of 6-(29,15,543950) (# 17616)

# 17622: 5-(28,15,761530)

• clan: 13-(32,16,645), 4 times reduced t, 1 times derived, 3 times residual
• residual design of supplementary of 6-(29,15,273240) (# 17615)
• residual design of 6-(29,15,543950) (# 17616)

# 17623: 6-(32,16,3535675)

• clan: 13-(32,16,645), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,1359875) (# 17618)
• supplementary design of 7-(32,16,683100) (# 17620) with respect to smaller t
• design 7-(32,16,1359875) (# 17624) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,2175800) (# 17628) : der= 6-(31,15,1359875) and res= 6-(31,16,2175800) - the given design is the residual.

# 17624: 7-(32,16,1359875)

• clan: 13-(32,16,645), 6 times reduced t
• Alltop construction for design 6-(31,15,1359875) (# 17618)

# 17625: 5-(31,16,2583360)

• clan: 13-(32,16,324), 7 times reduced t, 1 times residual
• residual design of 6-(32,16,1776060) (# 17619)
• residual design of supplementary of 6-(32,16,3535675) (# 17623)
• design 6-(31,16,1092960) (# 17627) with respect to smaller t
• supplementary design of 6-(31,16,2175800) (# 17628) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,1490400) (# 17629) : der= 5-(30,15,1092960) and res= 5-(30,16,1490400) - the given design is the residual.

# 17626: 5-(31,16,5142800)

• clan: 13-(32,16,645), 7 times reduced t, 1 times residual
• residual design of supplementary of 6-(32,16,1776060) (# 17619)
• residual design of 6-(32,16,3535675) (# 17623)
• supplementary design of 6-(31,16,1092960) (# 17627) with respect to smaller t
• design 6-(31,16,2175800) (# 17628) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,2967000) (# 17630) : der= 5-(30,15,2175800) and res= 5-(30,16,2967000) - the given design is the residual.

# 17627: 6-(31,16,1092960)

• clan: 13-(32,16,324), 6 times reduced t, 1 times residual
• residual design of 7-(32,16,683100) (# 17620)
• residual design of supplementary of 7-(32,16,1359875) (# 17624)

# 17628: 6-(31,16,2175800)

• clan: 13-(32,16,645), 6 times reduced t, 1 times residual
• residual design of supplementary of 7-(32,16,683100) (# 17620)
• residual design of 7-(32,16,1359875) (# 17624)

# 17629: 5-(30,16,1490400)

• clan: 13-(32,16,324), 6 times reduced t, 2 times residual
• residual design of 6-(31,16,1092960) (# 17627)
• residual design of supplementary of 6-(31,16,2175800) (# 17628)

# 17630: 5-(30,16,2967000)

• clan: 13-(32,16,645), 6 times reduced t, 2 times residual
• residual design of supplementary of 6-(31,16,1092960) (# 17627)
• residual design of 6-(31,16,2175800) (# 17628)

# 17631: 8-(27,12,1932)

• clan: 13-(32,16,483), 4 times derived, 1 times residual
• $ASL(3,3)$

# 17632: 7-(26,11,1932)

• clan: 13-(32,16,483), 5 times derived, 1 times residual
• derived from 8-(27,12,1932) (# 17631)

# 17633: 7-(27,12,7776)

• clan: 13-(32,16,486), 1 times reduced t, 4 times derived, 1 times residual
• supplementary design of 8-(27,12,1932) (# 17631) with respect to smaller t
• Tran van Trung construction (right) for 7-(26,11,1944) (# 17634) : der= 7-(26,11,1944) and res= 7-(26,12,5832) - the given design is the derived.
• Tran van Trung construction (left) for 7-(26,12,5832) (# 17635) : der= 7-(26,11,1944) and res= 7-(26,12,5832) - the given design is the residual.

# 17634: 7-(26,11,1944)

• clan: 13-(32,16,486), 5 times derived, 1 times residual
• derived from supplementary of 8-(27,12,1932) (# 17631)

# 17635: 7-(26,12,5832)

• clan: 13-(32,16,486), 4 times derived, 2 times residual
• residual design of supplementary of 8-(27,12,1932) (# 17631)

# 17636: 6-(25,10,1932)

• clan: 13-(32,16,483), 6 times derived, 1 times residual
• derived from 7-(26,11,1932) (# 17632)
• derived from supplementary of 7-(26,11,1944) (# 17634)

# 17637: 6-(25,10,1944)

• clan: 13-(32,16,486), 6 times derived, 1 times residual
• derived from supplementary of 7-(26,11,1932) (# 17632)
• derived from 7-(26,11,1944) (# 17634)

# 17638: 7-(27,13,19440)

• clan: 13-(32,16,486), 1 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 7-(26,12,5832) (# 17635) : der= 7-(26,12,5832) and res= 7-(26,13,13608) - the given design is the derived.

# 17639: 5-(24,9,1944)

• clan: 13-(32,16,486), 7 times derived, 1 times residual
• derived from supplementary of 6-(25,10,1932) (# 17636)
• derived from 6-(25,10,1944) (# 17637)

# 17640: 7-(28,13,27216)

• clan: 13-(32,16,486), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 7-(27,13,19440) (# 17638) : der= 7-(27,12,7776) and res= 7-(27,13,19440) - the given design is the residual.

# 17641: 7-(29,14,85536)

• clan: 13-(32,16,486), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 7-(28,13,27216) (# 17640) : der= 7-(28,13,27216) and res= 7-(28,14,58320) - the given design is the derived.

# 17642: 8-(27,13,3204)

• clan: 13-(32,16,267), 3 times derived, 2 times residual
• $ASL(3,3)$ 538218 isomorphism types
• derived from 9-(28,14,3204) (# 17647)
• derived from supplementary of 9-(28,14,8424) (# 17697)

# 17643: 7-(27,13,10680)

• clan: 13-(32,16,267), 1 times reduced t, 3 times derived, 2 times residual
• design 8-(27,13,3204) (# 17642) with respect to smaller t
• Tran van Trung construction (right) for 7-(26,12,3204) (# 17644) : der= 7-(26,12,3204) and res= 7-(26,13,7476) - the given design is the derived.
• Tran van Trung construction (left) for 7-(26,13,7476) (# 17645) : der= 7-(26,12,3204) and res= 7-(26,13,7476) - the given design is the residual.
• derived from 8-(28,14,10680) (# 17646)
• derived from supplementary of 8-(28,14,28080) (# 17668)
• supplementary design of 8-(27,13,8424) (# 17669) with respect to smaller t

# 17644: 7-(26,12,3204)

• clan: 13-(32,16,267), 4 times derived, 2 times residual
• derived from 8-(27,13,3204) (# 17642)
• derived from supplementary of 8-(27,13,8424) (# 17669)

# 17645: 7-(26,13,7476)

• clan: 13-(32,16,267), 3 times derived, 3 times residual
• residual design of 8-(27,13,3204) (# 17642)
• Alltop construction for design 6-(25,12,7476) (# 17659)
• derived from 8-(27,14,7476) (# 17667)
• residual design of supplementary of 8-(27,13,8424) (# 17669)
• derived from supplementary of 8-(27,14,19656) (# 17670)

# 17646: 8-(28,14,10680)

• clan: 13-(32,16,267), 1 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 8-(27,13,3204) (# 17642)
• design 9-(28,14,3204) (# 17647) with respect to smaller t
• Tran van Trung construction (left) for 8-(27,14,7476) (# 17667) : der= 8-(27,13,3204) and res= 8-(27,14,7476) - the given design is the residual.
• supplementary design of 9-(28,14,8424) (# 17697) with respect to smaller t
• red 9-(28,14,3204) ($\ge 1.6\times 10^{16}$ isomorphism types)

# 17647: 9-(28,14,3204)

• clan: 13-(32,16,267), 2 times derived, 2 times residual
• Alltop construction for design 8-(27,13,3204) (# 17642)

# 17648: 7-(27,13,28080)

• clan: 13-(32,16,702), 1 times reduced t, 3 times derived, 2 times residual
• supplementary design of 8-(27,13,3204) (# 17642) with respect to smaller t
• derived from supplementary of 8-(28,14,10680) (# 17646)
• Tran van Trung construction (right) for 7-(26,12,8424) (# 17649) : der= 7-(26,12,8424) and res= 7-(26,13,19656) - the given design is the derived.
• Tran van Trung construction (left) for 7-(26,13,19656) (# 17650) : der= 7-(26,12,8424) and res= 7-(26,13,19656) - the given design is the residual.
• derived from 8-(28,14,28080) (# 17668)
• design 8-(27,13,8424) (# 17669) with respect to smaller t

# 17649: 7-(26,12,8424)

• clan: 13-(32,16,702), 4 times derived, 2 times residual
• derived from supplementary of 8-(27,13,3204) (# 17642)
• derived from 8-(27,13,8424) (# 17669)

# 17650: 7-(26,13,19656)

• clan: 13-(32,16,702), 3 times derived, 3 times residual
• residual design of supplementary of 8-(27,13,3204) (# 17642)
• Alltop construction for design 6-(25,12,19656) (# 17661)
• derived from supplementary of 8-(27,14,7476) (# 17667)
• residual design of 8-(27,13,8424) (# 17669)
• derived from 8-(27,14,19656) (# 17670)

# 17651: 6-(27,13,32040)

• clan: 13-(32,16,267), 2 times reduced t, 3 times derived, 2 times residual
• design 7-(27,13,10680) (# 17643) with respect to smaller t
• supplementary design of 7-(27,13,28080) (# 17648) with respect to smaller t
• Tran van Trung construction (right) for 6-(26,12,10680) (# 17652) : der= 6-(26,12,10680) and res= 6-(26,13,21360) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,13,21360) (# 17653) : der= 6-(26,12,10680) and res= 6-(26,13,21360) - the given design is the residual.
• derived from 7-(28,14,32040) (# 17654)
• derived from supplementary of 7-(28,14,84240) (# 17665)

# 17652: 6-(26,12,10680)

• clan: 13-(32,16,267), 1 times reduced t, 4 times derived, 2 times residual
• derived from 7-(27,13,10680) (# 17643)
• design 7-(26,12,3204) (# 17644) with respect to smaller t
• derived from supplementary of 7-(27,13,28080) (# 17648)
• supplementary design of 7-(26,12,8424) (# 17649) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,11,3204) (# 17658) : der= 6-(25,11,3204) and res= 6-(25,12,7476) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,12,7476) (# 17659) : der= 6-(25,11,3204) and res= 6-(25,12,7476) - the given design is the residual.

# 17653: 6-(26,13,21360)

• clan: 13-(32,16,267), 1 times reduced t, 3 times derived, 3 times residual
• residual design of 7-(27,13,10680) (# 17643)
• design 7-(26,13,7476) (# 17645) with respect to smaller t
• residual design of supplementary of 7-(27,13,28080) (# 17648)
• supplementary design of 7-(26,13,19656) (# 17650) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(25,12,7476) (# 17659)
• Tran van Trung construction (right) for 6-(25,12,7476) (# 17659) : der= 6-(25,12,7476) and res= 6-(25,13,13884) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,13,13884) (# 17662) : der= 6-(25,12,7476) and res= 6-(25,13,13884) - the given design is the residual.
• derived from 7-(27,14,21360) (# 17664)
• derived from supplementary of 7-(27,14,56160) (# 17666)

# 17654: 7-(28,14,32040)

• clan: 13-(32,16,267), 2 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 7-(27,13,10680) (# 17643)
• design 8-(28,14,10680) (# 17646) with respect to smaller t
• Alltop construction for design 6-(27,13,32040) (# 17651)
• Tran van Trung construction (left) for 7-(27,14,21360) (# 17664) : der= 7-(27,13,10680) and res= 7-(27,14,21360) - the given design is the residual.
• supplementary design of 8-(28,14,28080) (# 17668) with respect to smaller t

# 17655: 6-(27,13,84240)

• clan: 13-(32,16,702), 2 times reduced t, 3 times derived, 2 times residual
• supplementary design of 7-(27,13,10680) (# 17643) with respect to smaller t
• design 7-(27,13,28080) (# 17648) with respect to smaller t
• derived from supplementary of 7-(28,14,32040) (# 17654)
• Tran van Trung construction (right) for 6-(26,12,28080) (# 17656) : der= 6-(26,12,28080) and res= 6-(26,13,56160) - the given design is the derived.
• Tran van Trung construction (left) for 6-(26,13,56160) (# 17657) : der= 6-(26,12,28080) and res= 6-(26,13,56160) - the given design is the residual.
• derived from 7-(28,14,84240) (# 17665)

# 17656: 6-(26,12,28080)

• clan: 13-(32,16,702), 1 times reduced t, 4 times derived, 2 times residual
• derived from supplementary of 7-(27,13,10680) (# 17643)
• supplementary design of 7-(26,12,3204) (# 17644) with respect to smaller t
• derived from 7-(27,13,28080) (# 17648)
• design 7-(26,12,8424) (# 17649) with respect to smaller t
• Tran van Trung construction (right) for 6-(25,11,8424) (# 17660) : der= 6-(25,11,8424) and res= 6-(25,12,19656) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,12,19656) (# 17661) : der= 6-(25,11,8424) and res= 6-(25,12,19656) - the given design is the residual.

# 17657: 6-(26,13,56160)

• clan: 13-(32,16,702), 1 times reduced t, 3 times derived, 3 times residual
• residual design of supplementary of 7-(27,13,10680) (# 17643)
• supplementary design of 7-(26,13,7476) (# 17645) with respect to smaller t
• residual design of 7-(27,13,28080) (# 17648)
• design 7-(26,13,19656) (# 17650) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(25,12,19656) (# 17661)
• Tran van Trung construction (right) for 6-(25,12,19656) (# 17661) : der= 6-(25,12,19656) and res= 6-(25,13,36504) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,13,36504) (# 17663) : der= 6-(25,12,19656) and res= 6-(25,13,36504) - the given design is the residual.
• derived from supplementary of 7-(27,14,21360) (# 17664)
• derived from 7-(27,14,56160) (# 17666)

# 17658: 6-(25,11,3204)

• clan: 13-(32,16,267), 5 times derived, 2 times residual
• derived from 7-(26,12,3204) (# 17644)
• derived from supplementary of 7-(26,12,8424) (# 17649)

# 17659: 6-(25,12,7476)

• clan: 13-(32,16,267), 4 times derived, 3 times residual
• residual design of 7-(26,12,3204) (# 17644)
• derived from 7-(26,13,7476) (# 17645)
• residual design of supplementary of 7-(26,12,8424) (# 17649)
• derived from supplementary of 7-(26,13,19656) (# 17650)

# 17660: 6-(25,11,8424)

• clan: 13-(32,16,702), 5 times derived, 2 times residual
• derived from supplementary of 7-(26,12,3204) (# 17644)
• derived from 7-(26,12,8424) (# 17649)

# 17661: 6-(25,12,19656)

• clan: 13-(32,16,702), 4 times derived, 3 times residual
• residual design of supplementary of 7-(26,12,3204) (# 17644)
• derived from supplementary of 7-(26,13,7476) (# 17645)
• residual design of 7-(26,12,8424) (# 17649)
• derived from 7-(26,13,19656) (# 17650)

# 17662: 6-(25,13,13884)

• clan: 13-(32,16,267), 3 times derived, 4 times residual
• residual design of 7-(26,13,7476) (# 17645)
• residual design of supplementary of 7-(26,13,19656) (# 17650)
• derived from 7-(26,14,13884) (# 17695)
• derived from supplementary of 7-(26,14,36504) (# 17696)

# 17663: 6-(25,13,36504)

• clan: 13-(32,16,702), 3 times derived, 4 times residual
• residual design of supplementary of 7-(26,13,7476) (# 17645)
• residual design of 7-(26,13,19656) (# 17650)
• derived from supplementary of 7-(26,14,13884) (# 17695)
• derived from 7-(26,14,36504) (# 17696)

# 17664: 7-(27,14,21360)

• clan: 13-(32,16,267), 1 times reduced t, 2 times derived, 3 times residual
• residual design of 8-(28,14,10680) (# 17646)
• design 8-(27,14,7476) (# 17667) with respect to smaller t
• residual design of supplementary of 8-(28,14,28080) (# 17668)
• supplementary design of 8-(27,14,19656) (# 17670) with respect to smaller t
• Tran van Trung construction (left) for 7-(26,14,13884) (# 17695) : der= 7-(26,13,7476) and res= 7-(26,14,13884) - the given design is the residual.

# 17665: 7-(28,14,84240)

• clan: 13-(32,16,702), 2 times reduced t, 2 times derived, 2 times residual
• supplementary design of 8-(28,14,10680) (# 17646) with respect to smaller t
• Tran van Trung construction with complementary design for 7-(27,13,28080) (# 17648)
• Tran van Trung construction (right) for 7-(27,13,28080) (# 17648) : der= 7-(27,13,28080) and res= 7-(27,14,56160) - the given design is the derived.
• Alltop construction for design 6-(27,13,84240) (# 17655)
• Tran van Trung construction (left) for 7-(27,14,56160) (# 17666) : der= 7-(27,13,28080) and res= 7-(27,14,56160) - the given design is the residual.
• design 8-(28,14,28080) (# 17668) with respect to smaller t

# 17666: 7-(27,14,56160)

• clan: 13-(32,16,702), 1 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 8-(28,14,10680) (# 17646)
• supplementary design of 8-(27,14,7476) (# 17667) with respect to smaller t
• residual design of 8-(28,14,28080) (# 17668)
• design 8-(27,14,19656) (# 17670) with respect to smaller t
• Tran van Trung construction (left) for 7-(26,14,36504) (# 17696) : der= 7-(26,13,19656) and res= 7-(26,14,36504) - the given design is the residual.

# 17667: 8-(27,14,7476)

• clan: 13-(32,16,267), 2 times derived, 3 times residual
• residual design of 9-(28,14,3204) (# 17647)
• residual design of supplementary of 9-(28,14,8424) (# 17697)

# 17668: 8-(28,14,28080)

• clan: 13-(32,16,702), 1 times reduced t, 2 times derived, 2 times residual
• supplementary design of 9-(28,14,3204) (# 17647) with respect to smaller t
• Tran van Trung construction with complementary design for 8-(27,13,8424) (# 17669)
• Tran van Trung construction (right) for 8-(27,13,8424) (# 17669) : der= 8-(27,13,8424) and res= 8-(27,14,19656) - the given design is the derived.
• Tran van Trung construction (left) for 8-(27,14,19656) (# 17670) : der= 8-(27,13,8424) and res= 8-(27,14,19656) - the given design is the residual.
• design 9-(28,14,8424) (# 17697) with respect to smaller t

# 17669: 8-(27,13,8424)

• clan: 13-(32,16,702), 3 times derived, 2 times residual
• derived from supplementary of 9-(28,14,3204) (# 17647)
• derived from 9-(28,14,8424) (# 17697)

# 17670: 8-(27,14,19656)

• clan: 13-(32,16,702), 2 times derived, 3 times residual
• residual design of supplementary of 9-(28,14,3204) (# 17647)
• residual design of 9-(28,14,8424) (# 17697)

# 17671: 5-(27,13,88110)

• clan: 13-(32,16,267), 3 times reduced t, 3 times derived, 2 times residual
• design 6-(27,13,32040) (# 17651) with respect to smaller t
• supplementary design of 6-(27,13,84240) (# 17655) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,12,32040) (# 17672) : der= 5-(26,12,32040) and res= 5-(26,13,56070) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,13,56070) (# 17673) : der= 5-(26,12,32040) and res= 5-(26,13,56070) - the given design is the residual.
• derived from 6-(28,14,88110) (# 17674)
• derived from supplementary of 6-(28,14,231660) (# 17684)
• residual design of 6-(28,13,46992) (# 17705)
• residual design of supplementary of 6-(28,13,123552) (# 17709)

# 17672: 5-(26,12,32040)

• clan: 13-(32,16,267), 2 times reduced t, 4 times derived, 2 times residual
• derived from 6-(27,13,32040) (# 17651)
• design 6-(26,12,10680) (# 17652) with respect to smaller t
• derived from supplementary of 6-(27,13,84240) (# 17655)
• supplementary design of 6-(26,12,28080) (# 17656) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,21360) (# 17678) : der= 5-(25,11,10680) and res= 5-(25,12,21360) - the given design is the residual.
• residual design of 6-(27,12,14952) (# 17680)
• residual design of supplementary of 6-(27,12,39312) (# 17686)

# 17673: 5-(26,13,56070)

• clan: 13-(32,16,267), 2 times reduced t, 3 times derived, 3 times residual
• residual design of 6-(27,13,32040) (# 17651)
• design 6-(26,13,21360) (# 17653) with respect to smaller t
• residual design of supplementary of 6-(27,13,84240) (# 17655)
• supplementary design of 6-(26,13,56160) (# 17657) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(25,12,21360) (# 17678)
• Tran van Trung construction (right) for 5-(25,12,21360) (# 17678) : der= 5-(25,12,21360) and res= 5-(25,13,34710) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,13,34710) (# 17681) : der= 5-(25,12,21360) and res= 5-(25,13,34710) - the given design is the residual.
• derived from 6-(27,14,56070) (# 17683)
• derived from supplementary of 6-(27,14,147420) (# 17685)

# 17674: 6-(28,14,88110)

• clan: 13-(32,16,267), 3 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,32040) (# 17651)
• design 7-(28,14,32040) (# 17654) with respect to smaller t
• supplementary design of 7-(28,14,84240) (# 17665) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,56070) (# 17683) : der= 6-(27,13,32040) and res= 6-(27,14,56070) - the given design is the residual.

# 17675: 5-(27,13,231660)

• clan: 13-(32,16,702), 3 times reduced t, 3 times derived, 2 times residual
• supplementary design of 6-(27,13,32040) (# 17651) with respect to smaller t
• design 6-(27,13,84240) (# 17655) with respect to smaller t
• derived from supplementary of 6-(28,14,88110) (# 17674)
• Tran van Trung construction (right) for 5-(26,12,84240) (# 17676) : der= 5-(26,12,84240) and res= 5-(26,13,147420) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,13,147420) (# 17677) : der= 5-(26,12,84240) and res= 5-(26,13,147420) - the given design is the residual.
• derived from 6-(28,14,231660) (# 17684)
• residual design of supplementary of 6-(28,13,46992) (# 17705)
• residual design of 6-(28,13,123552) (# 17709)

# 17676: 5-(26,12,84240)

• clan: 13-(32,16,702), 2 times reduced t, 4 times derived, 2 times residual
• derived from supplementary of 6-(27,13,32040) (# 17651)
• supplementary design of 6-(26,12,10680) (# 17652) with respect to smaller t
• derived from 6-(27,13,84240) (# 17655)
• design 6-(26,12,28080) (# 17656) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,12,56160) (# 17679) : der= 5-(25,11,28080) and res= 5-(25,12,56160) - the given design is the residual.
• residual design of supplementary of 6-(27,12,14952) (# 17680)
• residual design of 6-(27,12,39312) (# 17686)

# 17677: 5-(26,13,147420)

• clan: 13-(32,16,702), 2 times reduced t, 3 times derived, 3 times residual
• residual design of supplementary of 6-(27,13,32040) (# 17651)
• supplementary design of 6-(26,13,21360) (# 17653) with respect to smaller t
• residual design of 6-(27,13,84240) (# 17655)
• design 6-(26,13,56160) (# 17657) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(25,12,56160) (# 17679)
• Tran van Trung construction (right) for 5-(25,12,56160) (# 17679) : der= 5-(25,12,56160) and res= 5-(25,13,91260) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,13,91260) (# 17682) : der= 5-(25,12,56160) and res= 5-(25,13,91260) - the given design is the residual.
• derived from supplementary of 6-(27,14,56070) (# 17683)
• derived from 6-(27,14,147420) (# 17685)

# 17678: 5-(25,12,21360)

• clan: 13-(32,16,267), 1 times reduced t, 4 times derived, 3 times residual
• residual design of 6-(26,12,10680) (# 17652)
• derived from 6-(26,13,21360) (# 17653)
• residual design of supplementary of 6-(26,12,28080) (# 17656)
• derived from supplementary of 6-(26,13,56160) (# 17657)
• design 6-(25,12,7476) (# 17659) with respect to smaller t
• supplementary design of 6-(25,12,19656) (# 17661) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,11,7476) (# 17687) : der= 5-(24,11,7476) and res= 5-(24,12,13884) - the given design is the derived.

# 17679: 5-(25,12,56160)

• clan: 13-(32,16,702), 1 times reduced t, 4 times derived, 3 times residual
• residual design of supplementary of 6-(26,12,10680) (# 17652)
• derived from supplementary of 6-(26,13,21360) (# 17653)
• residual design of 6-(26,12,28080) (# 17656)
• derived from 6-(26,13,56160) (# 17657)
• supplementary design of 6-(25,12,7476) (# 17659) with respect to smaller t
• design 6-(25,12,19656) (# 17661) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,11,19656) (# 17689) : der= 5-(24,11,19656) and res= 5-(24,12,36504) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,12,36504) (# 17690) : der= 5-(24,11,19656) and res= 5-(24,12,36504) - the given design is the residual.

# 17680: 6-(27,12,14952)

• clan: 13-(32,16,267), 2 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(26,12,10680) (# 17652) : der= 6-(26,11,4272) and res= 6-(26,12,10680) - the given design is the residual.

# 17681: 5-(25,13,34710)

• clan: 13-(32,16,267), 1 times reduced t, 3 times derived, 4 times residual
• residual design of 6-(26,13,21360) (# 17653)
• residual design of supplementary of 6-(26,13,56160) (# 17657)
• design 6-(25,13,13884) (# 17662) with respect to smaller t
• supplementary design of 6-(25,13,36504) (# 17663) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,20826) (# 17691) : der= 5-(24,12,13884) and res= 5-(24,13,20826) - the given design is the residual.
• derived from 6-(26,14,34710) (# 17693)
• derived from supplementary of 6-(26,14,91260) (# 17694)

# 17682: 5-(25,13,91260)

• clan: 13-(32,16,702), 1 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 6-(26,13,21360) (# 17653)
• residual design of 6-(26,13,56160) (# 17657)
• supplementary design of 6-(25,13,13884) (# 17662) with respect to smaller t
• design 6-(25,13,36504) (# 17663) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,12,36504) (# 17690) : der= 5-(24,12,36504) and res= 5-(24,13,54756) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,13,54756) (# 17692) : der= 5-(24,12,36504) and res= 5-(24,13,54756) - the given design is the residual.
• derived from supplementary of 6-(26,14,34710) (# 17693)
• derived from 6-(26,14,91260) (# 17694)

# 17683: 6-(27,14,56070)

• clan: 13-(32,16,267), 2 times reduced t, 2 times derived, 3 times residual
• residual design of 7-(28,14,32040) (# 17654)
• design 7-(27,14,21360) (# 17664) with respect to smaller t
• residual design of supplementary of 7-(28,14,84240) (# 17665)
• supplementary design of 7-(27,14,56160) (# 17666) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,14,34710) (# 17693) : der= 6-(26,13,21360) and res= 6-(26,14,34710) - the given design is the residual.

# 17684: 6-(28,14,231660)

• clan: 13-(32,16,702), 3 times reduced t, 2 times derived, 2 times residual
• supplementary design of 7-(28,14,32040) (# 17654) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(27,13,84240) (# 17655)
• Tran van Trung construction (right) for 6-(27,13,84240) (# 17655) : der= 6-(27,13,84240) and res= 6-(27,14,147420) - the given design is the derived.
• design 7-(28,14,84240) (# 17665) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,147420) (# 17685) : der= 6-(27,13,84240) and res= 6-(27,14,147420) - the given design is the residual.

# 17685: 6-(27,14,147420)

• clan: 13-(32,16,702), 2 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 7-(28,14,32040) (# 17654)
• supplementary design of 7-(27,14,21360) (# 17664) with respect to smaller t
• residual design of 7-(28,14,84240) (# 17665)
• design 7-(27,14,56160) (# 17666) with respect to smaller t
• Tran van Trung construction (left) for 6-(26,14,91260) (# 17694) : der= 6-(26,13,56160) and res= 6-(26,14,91260) - the given design is the residual.

# 17686: 6-(27,12,39312)

• clan: 13-(32,16,702), 2 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(26,12,28080) (# 17656) : der= 6-(26,11,11232) and res= 6-(26,12,28080) - the given design is the residual.

# 17687: 5-(24,11,7476)

• clan: 13-(32,16,267), 5 times derived, 3 times residual
• residual design of 6-(25,11,3204) (# 17658)
• derived from 6-(25,12,7476) (# 17659)
• residual design of supplementary of 6-(25,11,8424) (# 17660)
• derived from supplementary of 6-(25,12,19656) (# 17661)

# 17688: 5-(24,10,8424)

• clan: 13-(32,16,702), 6 times derived, 2 times residual
• derived from supplementary of 6-(25,11,3204) (# 17658)
• derived from 6-(25,11,8424) (# 17660)

# 17689: 5-(24,11,19656)

• clan: 13-(32,16,702), 5 times derived, 3 times residual
• residual design of supplementary of 6-(25,11,3204) (# 17658)
• derived from supplementary of 6-(25,12,7476) (# 17659)
• residual design of 6-(25,11,8424) (# 17660)
• derived from 6-(25,12,19656) (# 17661)

# 17690: 5-(24,12,36504)

• clan: 13-(32,16,702), 4 times derived, 4 times residual
• residual design of supplementary of 6-(25,12,7476) (# 17659)
• residual design of 6-(25,12,19656) (# 17661)
• derived from supplementary of 6-(25,13,13884) (# 17662)
• derived from 6-(25,13,36504) (# 17663)

# 17691: 5-(24,13,20826)

• clan: 13-(32,16,267), 3 times derived, 5 times residual
• residual design of 6-(25,13,13884) (# 17662)
• residual design of supplementary of 6-(25,13,36504) (# 17663)
• derived from 6-(25,14,20826) (# 17712)
• derived from supplementary of 6-(25,14,54756) (# 17713)

# 17692: 5-(24,13,54756)

• clan: 13-(32,16,702), 3 times derived, 5 times residual
• residual design of supplementary of 6-(25,13,13884) (# 17662)
• residual design of 6-(25,13,36504) (# 17663)
• derived from supplementary of 6-(25,14,20826) (# 17712)
• derived from 6-(25,14,54756) (# 17713)

# 17693: 6-(26,14,34710)

• clan: 13-(32,16,267), 1 times reduced t, 2 times derived, 4 times residual
• residual design of 7-(27,14,21360) (# 17664)
• residual design of supplementary of 7-(27,14,56160) (# 17666)
• design 7-(26,14,13884) (# 17695) with respect to smaller t
• supplementary design of 7-(26,14,36504) (# 17696) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,14,20826) (# 17712) : der= 6-(25,13,13884) and res= 6-(25,14,20826) - the given design is the residual.

# 17694: 6-(26,14,91260)

• clan: 13-(32,16,702), 1 times reduced t, 2 times derived, 4 times residual
• residual design of supplementary of 7-(27,14,21360) (# 17664)
• residual design of 7-(27,14,56160) (# 17666)
• supplementary design of 7-(26,14,13884) (# 17695) with respect to smaller t
• design 7-(26,14,36504) (# 17696) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,14,54756) (# 17713) : der= 6-(25,13,36504) and res= 6-(25,14,54756) - the given design is the residual.

# 17695: 7-(26,14,13884)

• clan: 13-(32,16,267), 2 times derived, 4 times residual
• residual design of 8-(27,14,7476) (# 17667)
• residual design of supplementary of 8-(27,14,19656) (# 17670)

# 17696: 7-(26,14,36504)

• clan: 13-(32,16,702), 2 times derived, 4 times residual
• residual design of supplementary of 8-(27,14,7476) (# 17667)
• residual design of 8-(27,14,19656) (# 17670)

# 17697: 9-(28,14,8424)

• clan: 13-(32,16,702), 2 times derived, 2 times residual
• Alltop construction for design 8-(27,13,8424) (# 17669)

# 17698: 5-(28,14,225170)

• clan: 13-(32,16,267), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,88110) (# 17671)
• design 6-(28,14,88110) (# 17674) with respect to smaller t
• supplementary design of 6-(28,14,231660) (# 17684) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,137060) (# 17700) : der= 5-(27,13,88110) and res= 5-(27,14,137060) - the given design is the residual.
• residual design of 6-(29,14,135102) (# 17719)
• residual design of supplementary of 6-(29,14,355212) (# 17721)
• derived from 6-(29,15,225170) (# 17741)
• derived from supplementary of 6-(29,15,592020) (# 17742)

# 17699: 5-(27,12,46992)

• clan: 13-(32,16,267), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,12,32040) (# 17672) : der= 5-(26,11,14952) and res= 5-(26,12,32040) - the given design is the residual.
• design 6-(27,12,14952) (# 17680) with respect to smaller t
• supplementary design of 6-(27,12,39312) (# 17686) with respect to smaller t
• residual design of 6-(28,12,20559) (# 17704)
• derived from 6-(28,13,46992) (# 17705)
• residual design of supplementary of 6-(28,12,54054) (# 17708)
• derived from supplementary of 6-(28,13,123552) (# 17709)

created: Fri Oct 23 11:14:42 CEST 2009