t designs with small t, id ge 7900

• clan: 8-(31,10,98), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,686) (# 7899) : der= 5-(28,7,98) and res= 5-(28,8,686) - the given design is the residual.

# 7901: 5-(28,8,693)

• clan: 21-(44,22,9), 14 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of 6-(29,8,99) (# 12069)
• derived from 6-(29,9,693) (# 12143)
• derived from supplementary of 6-(29,9,1078) (# 15990)

# 7902: 5-(29,8,792)

• clan: 21-(44,22,9), 1 times reduced t, 14 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,8,693) (# 7901) : der= 5-(28,7,99) and res= 5-(28,8,693) - the given design is the residual.
• design 6-(29,8,99) (# 12069) with respect to smaller t
• derived from 6-(30,9,792) (# 12146)
• residual design of 6-(30,8,108) (# 12282)

# 7903: 5-(30,8,900)

• clan: 21-(44,22,9), 2 times reduced t, 14 times derived
• Tran van Trung construction (left) for 5-(29,8,792) (# 7902) : der= 5-(29,7,108) and res= 5-(29,8,792) - the given design is the residual.
• design 6-(30,8,108) (# 12282) with respect to smaller t
• derived from 6-(31,9,900) (# 12285)

# 7904: 5-(28,8,70)

• clan: 8-(31,10,10), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7905: 5-(28,8,700)

• clan: 8-(31,10,100), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• $A_8^{[2]}$ (>=1 isom. types)
• residual design of 6-(29,8,100) (# 18006)
• derived from 6-(29,9,700) (# 18007)
• residual design of supplementary of 6-(29,8,153) (# 18008)
• derived from supplementary of 6-(29,9,1071) (# 18009)

# 7906: 5-(29,8,800)

• clan: 8-(31,10,100), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,700) (# 7905) : der= 5-(28,7,100) and res= 5-(28,8,700) - the given design is the residual.
• derived from 6-(30,9,800) (# 16094)
• derived from supplementary of 6-(30,9,1224) (# 16097)
• design 6-(29,8,100) (# 18006) with respect to smaller t
• supplementary design of 6-(29,8,153) (# 18008) with respect to smaller t

# 7907: 5-(28,8,707)

• clan: 8-(31,10,101), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7908: 5-(28,8,714)

• clan: 8-(31,10,102), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from 6-(29,9,714) (# 12148)

# 7909: 5-(28,8,721)

• clan: 8-(31,10,103), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7910: 5-(29,8,824)

• clan: 8-(31,10,103), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,721) (# 7909) : der= 5-(28,7,103) and res= 5-(28,8,721) - the given design is the residual.

# 7911: 5-(28,8,728)

• clan: 8-(31,10,104), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7912: 5-(28,8,735)

• clan: 8-(31,10,105), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of 6-(29,8,105) (# 12003)
• derived from 6-(29,9,735) (# 12152)
• derived from supplementary of 6-(29,9,1036) (# 15997)
• residual design of supplementary of 6-(29,8,148) (# 16048)

# 7913: 5-(29,8,840)

• clan: 8-(31,10,105), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,735) (# 7912) : der= 5-(28,7,105) and res= 5-(28,8,735) - the given design is the residual.
• design 6-(29,8,105) (# 12003) with respect to smaller t
• derived from 6-(30,9,840) (# 12155)
• derived from supplementary of 6-(30,9,1184) (# 16047)
• supplementary design of 6-(29,8,148) (# 16048) with respect to smaller t

# 7914: 5-(28,8,742)

• clan: 8-(31,10,106), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of 6-(29,8,106) (# 12007)

# 7915: 5-(29,8,848)

• clan: 8-(31,10,106), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,742) (# 7914) : der= 5-(28,7,106) and res= 5-(28,8,742) - the given design is the residual.
• design 6-(29,8,106) (# 12007) with respect to smaller t

# 7916: 5-(28,8,749)

• clan: 8-(31,10,107), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7917: 5-(28,8,756)

• clan: 8-(31,10,108), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• $A_8^{[2]}$ (>=1 isom. types)
• derived from 6-(29,9,756) (# 12157)
• derived from supplementary of 6-(29,9,1015) (# 16005)

# 7918: 5-(28,8,763)

• clan: 8-(31,10,109), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from 6-(29,9,763) (# 16015)
• derived from supplementary of 6-(29,9,1008) (# 16018)

# 7919: 5-(28,8,77)

• clan: 21-(44,22,1), 14 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7920: 5-(28,8,770)

• clan: 21-(44,22,10), 14 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7921: 5-(28,8,777)

• clan: 8-(31,10,111), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7922: 5-(28,8,784)

• clan: 8-(31,10,112), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of 6-(29,8,112) (# 12011)
• derived from 6-(29,9,784) (# 12161)
• residual design of supplementary of 6-(29,8,141) (# 16053)
• derived from supplementary of 6-(29,9,987) (# 16054)

# 7923: 5-(29,8,896)

• clan: 8-(31,10,112), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,784) (# 7922) : der= 5-(28,7,112) and res= 5-(28,8,784) - the given design is the residual.
• design 6-(29,8,112) (# 12011) with respect to smaller t
• derived from 6-(30,9,896) (# 12164)
• derived from supplementary of 6-(30,9,1128) (# 16052)
• supplementary design of 6-(29,8,141) (# 16053) with respect to smaller t

# 7924: 5-(28,8,791)

• clan: 8-(31,10,113), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• $S_8^{[2]}$ (>=1 isom. types)

# 7925: 5-(29,8,904)

• clan: 8-(31,10,113), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,791) (# 7924) : der= 5-(28,7,113) and res= 5-(28,8,791) - the given design is the residual.

# 7926: 5-(28,8,798)

• clan: 8-(31,10,114), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from 6-(29,9,798) (# 12166)

# 7927: 5-(28,8,805)

• clan: 9-(31,10,10), 1 times reduced t, 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• Bluskov
• design 6-(28,8,105) (# 11939) with respect to smaller t
• Tran van Trung construction (right) for 5-(27,7,105) (# 11940) : der= 5-(27,7,105) and res= 5-(27,8,700) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,8,700) (# 11941) : der= 5-(27,7,105) and res= 5-(27,8,700) - the given design is the residual.

# 7928: 5-(28,8,812)

• clan: 8-(31,10,116), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7929: 5-(28,8,819)

• clan: 8-(31,10,117), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from 6-(29,9,819) (# 12169)
• derived from supplementary of 6-(29,9,952) (# 16031)

# 7930: 5-(28,8,826)

• clan: 8-(31,10,118), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from 6-(29,9,826) (# 12171)

# 7931: 5-(28,8,833)

• clan: 8-(31,10,119), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7932: 5-(29,8,952)

• clan: 8-(31,10,119), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,833) (# 7931) : der= 5-(28,7,119) and res= 5-(28,8,833) - the given design is the residual.

# 7933: 5-(28,8,84)

• clan: 8-(31,10,12), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7934: 5-(28,8,840)

• clan: 8-(31,10,120), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• $S_8^{[2]}$ (>=1 isom. types)
• residual design of 6-(29,8,120) (# 12014)
• residual design of supplementary of 6-(29,8,133) (# 12020)
• derived from 6-(29,9,840) (# 12174)

# 7935: 5-(29,8,960)

• clan: 8-(31,10,120), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,840) (# 7934) : der= 5-(28,7,120) and res= 5-(28,8,840) - the given design is the residual.
• design 6-(29,8,120) (# 12014) with respect to smaller t
• supplementary design of 6-(29,8,133) (# 12020) with respect to smaller t
• derived from 6-(30,9,960) (# 12177)

# 7936: 5-(28,8,847)

• clan: 21-(44,22,11), 14 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from 6-(29,9,847) (# 16034)
• derived from supplementary of 6-(29,9,924) (# 16037)

# 7937: 5-(28,8,854)

• clan: 8-(31,10,122), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7938: 5-(28,8,861)

• clan: 8-(31,10,123), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from 6-(29,9,861) (# 12179)
• derived from supplementary of 6-(29,9,910) (# 16044)

# 7939: 5-(29,8,984)

• clan: 8-(31,10,123), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,861) (# 7938) : der= 5-(28,7,123) and res= 5-(28,8,861) - the given design is the residual.

# 7940: 5-(28,8,868)

• clan: 8-(31,10,124), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7941: 5-(28,8,875)

• clan: 8-(31,10,125), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• $S_8^{[2]}$ (>=1 isom. types)

# 7942: 5-(28,8,882)

• clan: 8-(31,10,126), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of 6-(29,8,126) (# 12017)
• derived from 6-(29,9,882) (# 12181)

# 7943: 5-(29,8,1008)

• clan: 8-(31,10,126), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,882) (# 7942) : der= 5-(28,7,126) and res= 5-(28,8,882) - the given design is the residual.
• design 6-(29,8,126) (# 12017) with respect to smaller t
• derived from 6-(30,9,1008) (# 12186)

# 7944: 5-(28,8,889)

• clan: 8-(31,10,127), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of supplementary of 6-(29,8,126) (# 12017)
• derived from supplementary of 6-(29,9,882) (# 12181)

# 7945: 5-(28,8,896)

• clan: 8-(31,10,128), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7946: 5-(28,8,903)

• clan: 8-(31,10,129), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7947: 5-(28,8,91)

• clan: 8-(31,10,13), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7948: 5-(28,8,910)

• clan: 8-(31,10,130), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from supplementary of 6-(29,9,861) (# 12179)
• derived from 6-(29,9,910) (# 16044)

# 7949: 5-(28,8,917)

• clan: 8-(31,10,131), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7950: 5-(28,8,924)

• clan: 21-(44,22,12), 14 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from supplementary of 6-(29,9,847) (# 16034)
• derived from 6-(29,9,924) (# 16037)

# 7951: 5-(28,8,931)

• clan: 8-(31,10,133), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of supplementary of 6-(29,8,120) (# 12014)
• residual design of 6-(29,8,133) (# 12020)
• derived from supplementary of 6-(29,9,840) (# 12174)

# 7952: 5-(28,8,938)

• clan: 8-(31,10,134), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7953: 5-(28,8,945)

• clan: 8-(31,10,135), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from supplementary of 6-(29,9,826) (# 12171)

# 7954: 5-(28,8,952)

• clan: 8-(31,10,136), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from supplementary of 6-(29,9,819) (# 12169)
• derived from 6-(29,9,952) (# 16031)

# 7955: 5-(28,8,959)

• clan: 8-(31,10,137), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7956: 5-(28,8,966)

• clan: 9-(31,10,12), 1 times reduced t, 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• supplementary design of 6-(28,8,105) (# 11939) with respect to smaller t
• Tran van Trung construction (right) for 5-(27,7,126) (# 11942) : der= 5-(27,7,126) and res= 5-(27,8,840) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,8,840) (# 11943) : der= 5-(27,7,126) and res= 5-(27,8,840) - the given design is the residual.

# 7957: 5-(28,8,973)

• clan: 8-(31,10,139), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• derived from supplementary of 6-(29,9,798) (# 12166)

# 7958: 5-(28,8,98)

• clan: 8-(31,10,14), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7959: 5-(29,8,112)

• clan: 8-(31,10,14), 1 times reduced t, 2 times derived
• Tran van Trung construction (left) for 5-(28,8,98) (# 7958) : der= 5-(28,7,14) and res= 5-(28,8,98) - the given design is the residual.

# 7960: 5-(28,8,980)

• clan: 8-(31,10,140), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7961: 5-(28,8,987)

• clan: 8-(31,10,141), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of supplementary of 6-(29,8,112) (# 12011)
• derived from supplementary of 6-(29,9,784) (# 12161)
• residual design of 6-(29,8,141) (# 16053)
• derived from 6-(29,9,987) (# 16054)

# 7962: 5-(28,8,994)

• clan: 8-(31,10,142), 2 times derived, 1 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7963: 5-(28,9,105)

• clan: 8-(31,10,3), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7964: 5-(29,9,126)

• clan: 8-(31,10,3), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,105) (# 7963) : der= 5-(28,8,21) and res= 5-(28,9,105) - the given design is the residual.

# 7965: 5-(28,9,1050)

• clan: 8-(31,10,30), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7966: 5-(29,9,1260)

• clan: 8-(31,10,30), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1050) (# 7965) : der= 5-(28,8,210) and res= 5-(28,9,1050) - the given design is the residual.

# 7967: 5-(30,9,1500)

• clan: 8-(31,10,30), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,1260) (# 7966) : der= 5-(29,8,240) and res= 5-(29,9,1260) - the given design is the residual.

# 7968: 5-(28,9,1085)

• clan: 8-(31,10,31), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7969: 5-(29,9,1302)

• clan: 8-(31,10,31), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1085) (# 7968) : der= 5-(28,8,217) and res= 5-(28,9,1085) - the given design is the residual.

# 7970: 5-(28,9,1155)

• clan: 21-(44,22,3), 13 times derived, 3 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7971: 5-(29,9,1386)

• clan: 21-(44,22,3), 1 times reduced t, 13 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(28,9,1155) (# 7970) : der= 5-(28,8,231) and res= 5-(28,9,1155) - the given design is the residual.

# 7972: 5-(30,9,1650)

• clan: 21-(44,22,3), 2 times reduced t, 13 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(29,9,1386) (# 7971) : der= 5-(29,8,264) and res= 5-(29,9,1386) - the given design is the residual.
• residual design of 6-(31,9,300) (# 12300)

# 7973: 5-(31,9,1950)

• clan: 21-(44,22,3), 3 times reduced t, 13 times derived
• Tran van Trung construction (left) for 5-(30,9,1650) (# 7972) : der= 5-(30,8,300) and res= 5-(30,9,1650) - the given design is the residual.
• design 6-(31,9,300) (# 12300) with respect to smaller t

# 7974: 5-(28,9,1190)

• clan: 8-(31,10,34), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7975: 5-(29,9,1428)

• clan: 8-(31,10,34), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1190) (# 7974) : der= 5-(28,8,238) and res= 5-(28,9,1190) - the given design is the residual.

# 7976: 5-(28,9,1260)

• clan: 8-(31,10,36), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of 6-(29,9,252) (# 12085)

# 7977: 5-(29,9,1512)

• clan: 8-(31,10,36), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1260) (# 7976) : der= 5-(28,8,252) and res= 5-(28,9,1260) - the given design is the residual.
• design 6-(29,9,252) (# 12085) with respect to smaller t
• residual design of 6-(30,9,288) (# 12088)
• derived from 6-(30,10,1512) (# 12189)

# 7978: 5-(30,9,1800)

• clan: 8-(31,10,36), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,1512) (# 7977) : der= 5-(29,8,288) and res= 5-(29,9,1512) - the given design is the residual.
• design 6-(30,9,288) (# 12088) with respect to smaller t
• derived from 6-(31,10,1800) (# 12194)

# 7979: 5-(28,9,1295)

• clan: 8-(31,10,37), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7980: 5-(29,9,1554)

• clan: 8-(31,10,37), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1295) (# 7979) : der= 5-(28,8,259) and res= 5-(28,9,1295) - the given design is the residual.

# 7981: 5-(28,9,1365)

• clan: 8-(31,10,39), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7982: 5-(29,9,1638)

• clan: 8-(31,10,39), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1365) (# 7981) : der= 5-(28,8,273) and res= 5-(28,9,1365) - the given design is the residual.

# 7983: 5-(28,9,140)

• clan: 8-(31,10,4), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7984: 5-(29,9,168)

• clan: 8-(31,10,4), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,140) (# 7983) : der= 5-(28,8,28) and res= 5-(28,9,140) - the given design is the residual.

# 7985: 5-(28,9,1400)

• clan: 8-(31,10,40), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7986: 5-(29,9,1680)

• clan: 8-(31,10,40), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1400) (# 7985) : der= 5-(28,8,280) and res= 5-(28,9,1400) - the given design is the residual.

# 7987: 5-(30,9,2000)

• clan: 8-(31,10,40), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,1680) (# 7986) : der= 5-(29,8,320) and res= 5-(29,9,1680) - the given design is the residual.

# 7988: 5-(28,9,1470)

• clan: 8-(31,10,42), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• residual design of 6-(29,9,294) (# 12090)

# 7989: 5-(29,9,1764)

• clan: 8-(31,10,42), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1470) (# 7988) : der= 5-(28,8,294) and res= 5-(28,9,1470) - the given design is the residual.
• design 6-(29,9,294) (# 12090) with respect to smaller t
• residual design of 6-(30,9,336) (# 12093)
• derived from 6-(30,10,1764) (# 12197)

# 7990: 5-(30,9,2100)

• clan: 8-(31,10,42), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,1764) (# 7989) : der= 5-(29,8,336) and res= 5-(29,9,1764) - the given design is the residual.
• design 6-(30,9,336) (# 12093) with respect to smaller t
• derived from 6-(31,10,2100) (# 12202)

# 7991: 5-(28,9,1505)

• clan: 8-(31,10,43), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7992: 5-(29,9,1806)

• clan: 8-(31,10,43), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1505) (# 7991) : der= 5-(28,8,301) and res= 5-(28,9,1505) - the given design is the residual.

# 7993: 5-(30,9,2150)

• clan: 8-(31,10,43), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,1806) (# 7992) : der= 5-(29,8,344) and res= 5-(29,9,1806) - the given design is the residual.

# 7994: 5-(28,9,1575)

• clan: 8-(31,10,45), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• $Sp(6,2)$ (1 isom. type)

# 7995: 5-(29,9,1890)

• clan: 8-(31,10,45), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1575) (# 7994) : der= 5-(28,8,315) and res= 5-(28,9,1575) - the given design is the residual.

# 7996: 5-(28,9,1610)

• clan: 9-(31,10,4), 1 times reduced t, 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
• Tran van Trung construction (right) for 5-(27,8,280) (# 11946) : der= 5-(27,8,280) and res= 5-(27,9,1330) - the given design is the derived.
• design 6-(28,9,280) (# 11969) with respect to smaller t
• residual design of 6-(29,9,322) (# 11970)
• derived from 6-(29,10,1610) (# 11971)

# 7997: 5-(29,9,1932)

• clan: 9-(31,10,4), 2 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1610) (# 7996) : der= 5-(28,8,322) and res= 5-(28,9,1610) - the given design is the residual.
• design 6-(29,9,322) (# 11970) with respect to smaller t
• derived from 6-(30,10,1932) (# 11972)

# 7998: 5-(28,9,1680)

• clan: 8-(31,10,48), 1 times derived, 2 times residual
• $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7999: 5-(29,9,2016)

• clan: 8-(31,10,48), 1 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,9,1680) (# 7998) : der= 5-(28,8,336) and res= 5-(28,9,1680) - the given design is the residual.

created: Fri Oct 23 11:11:34 CEST 2009