t designs with small t, id ge 12100

• clan: 8-(31,10,189), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,448) (# 12099) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,6615) (# 12101) : der= 5-(28,8,1323) and res= 5-(28,9,6615) - the given design is the residual.
• residual design of supplementary of 6-(30,9,512) (# 12102)
• derived from supplementary of 6-(30,10,2688) (# 12205)
• residual design of 6-(30,9,1512) (# 16065)
• design 6-(29,9,1323) (# 16067) with respect to smaller t

# 12101: 5-(28,9,6615)

• clan: 8-(31,10,189), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,448) (# 12099)
• residual design of 6-(29,9,1323) (# 16067)

# 12102: 6-(30,9,512)

• clan: 8-(31,10,64), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,448) (# 12099) : der= 6-(29,8,64) and res= 6-(29,9,448) - the given design is the residual.
• design 7-(30,9,64) (# 16064) with respect to smaller t

# 12103: 5-(30,9,9450)

• clan: 8-(31,10,189), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,7938) (# 12100) : der= 5-(29,8,1512) and res= 5-(29,9,7938) - the given design is the residual.
• supplementary design of 6-(30,9,512) (# 12102) with respect to smaller t
• derived from supplementary of 6-(31,10,3200) (# 12210)
• design 6-(30,9,1512) (# 16065) with respect to smaller t

# 12104: 6-(29,9,462)

• clan: 21-(44,22,6), 13 times derived, 2 times residual
• $P\Sigma L(2,27)+$

# 12105: 5-(29,9,7854)

• clan: 21-(44,22,17), 1 times reduced t, 13 times derived, 2 times residual
• supplementary design of 6-(29,9,462) (# 12104) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1309) (# 12106) : der= 5-(28,8,1309) and res= 5-(28,9,6545) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,6545) (# 12107) : der= 5-(28,8,1309) and res= 5-(28,9,6545) - the given design is the residual.

# 12106: 5-(28,8,1309)

• clan: 21-(44,22,17), 14 times derived, 2 times residual
• derived from supplementary of 6-(29,9,462) (# 12104)

# 12107: 5-(28,9,6545)

• clan: 21-(44,22,17), 13 times derived, 3 times residual
• residual design of supplementary of 6-(29,9,462) (# 12104)

# 12108: 6-(29,9,469)

• clan: 8-(31,10,67), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12109: 5-(29,9,7812)

• clan: 8-(31,10,186), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,469) (# 12108) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1302) (# 12110) : der= 5-(28,8,1302) and res= 5-(28,9,6510) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,6510) (# 12111) : der= 5-(28,8,1302) and res= 5-(28,9,6510) - the given design is the residual.

# 12110: 5-(28,8,1302)

• clan: 8-(31,10,186), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,469) (# 12108)

# 12111: 5-(28,9,6510)

• clan: 8-(31,10,186), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,469) (# 12108)

# 12112: 6-(29,9,483)

• clan: 9-(31,10,6), 1 times reduced t, 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• Tran van Trung construction (left) for 6-(28,9,420) (# 15828) : der= 6-(28,8,63) and res= 6-(28,9,420) - the given design is the residual.

# 12113: 5-(29,9,7728)

• clan: 9-(31,10,16), 2 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,483) (# 12112) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,6440) (# 12114) : der= 5-(28,8,1288) and res= 5-(28,9,6440) - the given design is the residual.
• residual design of supplementary of 6-(30,9,552) (# 12115)
• derived from supplementary of 6-(30,10,2898) (# 12213)

# 12114: 5-(28,9,6440)

• clan: 9-(31,10,16), 1 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,483) (# 12112)
• derived from supplementary of 6-(29,10,2415) (# 15827)
• supplementary design of 6-(28,9,420) (# 15828) with respect to smaller t
• derived from 6-(29,10,6440) (# 15830)
• design 6-(28,9,1120) (# 15831) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,9,5320) (# 15835) : der= 5-(27,8,1120) and res= 5-(27,9,5320) - the given design is the residual.

# 12115: 6-(30,9,552)

• clan: 9-(31,10,6), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,483) (# 12112) : der= 6-(29,8,69) and res= 6-(29,9,483) - the given design is the residual.

# 12116: 5-(30,9,9200)

• clan: 9-(31,10,16), 3 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,7728) (# 12113) : der= 5-(29,8,1472) and res= 5-(29,9,7728) - the given design is the residual.
• supplementary design of 6-(30,9,552) (# 12115) with respect to smaller t
• derived from supplementary of 6-(31,10,3450) (# 12218)

# 12117: 6-(29,9,490)

• clan: 8-(31,10,70), 1 times derived, 1 times residual
• $P\Sigma L(2,27)+$

# 12118: 5-(29,9,7686)

• clan: 8-(31,10,183), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,490) (# 12117) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,6405) (# 12119) : der= 5-(28,8,1281) and res= 5-(28,9,6405) - the given design is the residual.
• residual design of supplementary of 6-(30,9,560) (# 12120)

# 12119: 5-(28,9,6405)

• clan: 8-(31,10,183), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,490) (# 12117)

# 12120: 6-(30,9,560)

• clan: 8-(31,10,70), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,490) (# 12117) : der= 6-(29,8,70) and res= 6-(29,9,490) - the given design is the residual.

# 12121: 5-(30,9,9150)

• clan: 8-(31,10,183), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,7686) (# 12118) : der= 5-(29,8,1464) and res= 5-(29,9,7686) - the given design is the residual.
• supplementary design of 6-(30,9,560) (# 12120) with respect to smaller t

# 12122: 6-(29,9,504)

• clan: 8-(31,10,72), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,504) (# 15886)

# 12123: 5-(29,9,7602)

• clan: 8-(31,10,181), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,504) (# 12122) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1267) (# 12124) : der= 5-(28,8,1267) and res= 5-(28,9,6335) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,6335) (# 12125) : der= 5-(28,8,1267) and res= 5-(28,9,6335) - the given design is the residual.
• derived from supplementary of 6-(30,10,3024) (# 15887)
• derived from 6-(30,10,7602) (# 15889)
• design 6-(29,9,1267) (# 15890) with respect to smaller t

# 12124: 5-(28,8,1267)

• clan: 8-(31,10,181), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,504) (# 12122)
• derived from 6-(29,9,1267) (# 15890)

# 12125: 5-(28,9,6335)

• clan: 8-(31,10,181), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,504) (# 12122)
• derived from supplementary of 6-(29,10,2520) (# 15888)
• residual design of 6-(29,9,1267) (# 15890)
• derived from 6-(29,10,6335) (# 15891)

# 12126: 6-(29,9,532)

• clan: 8-(31,10,76), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,532) (# 15898)

# 12127: 5-(29,9,7434)

• clan: 8-(31,10,177), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,532) (# 12126) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1239) (# 12128) : der= 5-(28,8,1239) and res= 5-(28,9,6195) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,6195) (# 12129) : der= 5-(28,8,1239) and res= 5-(28,9,6195) - the given design is the residual.
• derived from supplementary of 6-(30,10,3192) (# 15899)
• derived from 6-(30,10,7434) (# 15901)
• design 6-(29,9,1239) (# 15902) with respect to smaller t

# 12128: 5-(28,8,1239)

• clan: 8-(31,10,177), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,532) (# 12126)
• derived from 6-(29,9,1239) (# 15902)

# 12129: 5-(28,9,6195)

• clan: 8-(31,10,177), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,532) (# 12126)
• derived from supplementary of 6-(29,10,2660) (# 15900)
• residual design of 6-(29,9,1239) (# 15902)
• derived from 6-(29,10,6195) (# 15903)

# 12130: 6-(29,9,595)

• clan: 8-(31,10,85), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12131: 5-(29,9,7056)

• clan: 8-(31,10,168), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,595) (# 12130) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,5880) (# 12132) : der= 5-(28,8,1176) and res= 5-(28,9,5880) - the given design is the residual.
• residual design of supplementary of 6-(30,9,680) (# 12133)
• derived from supplementary of 6-(30,10,3570) (# 12221)

# 12132: 5-(28,9,5880)

• clan: 8-(31,10,168), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,595) (# 12130)

# 12133: 6-(30,9,680)

• clan: 8-(31,10,85), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,595) (# 12130) : der= 6-(29,8,85) and res= 6-(29,9,595) - the given design is the residual.

# 12134: 5-(30,9,8400)

• clan: 8-(31,10,168), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,7056) (# 12131) : der= 5-(29,8,1344) and res= 5-(29,9,7056) - the given design is the residual.
• supplementary design of 6-(30,9,680) (# 12133) with respect to smaller t
• derived from supplementary of 6-(31,10,4250) (# 12226)

# 12135: 6-(29,9,630)

• clan: 8-(31,10,90), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,630) (# 15962)

# 12136: 5-(29,9,6846)

• clan: 8-(31,10,163), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,630) (# 12135) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1141) (# 12137) : der= 5-(28,8,1141) and res= 5-(28,9,5705) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5705) (# 12138) : der= 5-(28,8,1141) and res= 5-(28,9,5705) - the given design is the residual.
• derived from supplementary of 6-(30,10,3780) (# 15963)
• derived from 6-(30,10,6846) (# 15965)
• design 6-(29,9,1141) (# 15966) with respect to smaller t

# 12137: 5-(28,8,1141)

• clan: 8-(31,10,163), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,630) (# 12135)
• derived from 6-(29,9,1141) (# 15966)

# 12138: 5-(28,9,5705)

• clan: 8-(31,10,163), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,630) (# 12135)
• derived from supplementary of 6-(29,10,3150) (# 15964)
• residual design of 6-(29,9,1141) (# 15966)
• derived from 6-(29,10,5705) (# 15967)

# 12139: 6-(29,9,672)

• clan: 8-(31,10,96), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,672) (# 15975)

# 12140: 5-(29,9,6594)

• clan: 8-(31,10,157), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,672) (# 12139) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1099) (# 12141) : der= 5-(28,8,1099) and res= 5-(28,9,5495) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5495) (# 12142) : der= 5-(28,8,1099) and res= 5-(28,9,5495) - the given design is the residual.
• derived from supplementary of 6-(30,10,4032) (# 15976)
• derived from 6-(30,10,6594) (# 15978)
• design 6-(29,9,1099) (# 15979) with respect to smaller t

# 12141: 5-(28,8,1099)

• clan: 8-(31,10,157), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,672) (# 12139)
• derived from 6-(29,9,1099) (# 15979)

# 12142: 5-(28,9,5495)

• clan: 8-(31,10,157), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,672) (# 12139)
• derived from supplementary of 6-(29,10,3360) (# 15977)
• residual design of 6-(29,9,1099) (# 15979)
• derived from 6-(29,10,5495) (# 15980)

# 12143: 6-(29,9,693)

• clan: 21-(44,22,9), 13 times derived, 2 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,693) (# 15987)

# 12144: 5-(29,9,6468)

• clan: 21-(44,22,14), 1 times reduced t, 13 times derived, 2 times residual
• supplementary design of 6-(29,9,693) (# 12143) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,5390) (# 12145) : der= 5-(28,8,1078) and res= 5-(28,9,5390) - the given design is the residual.
• residual design of supplementary of 6-(30,9,792) (# 12146)
• derived from supplementary of 6-(30,10,4158) (# 12229)
• derived from 6-(30,10,6468) (# 15989)
• design 6-(29,9,1078) (# 15990) with respect to smaller t

# 12145: 5-(28,9,5390)

• clan: 21-(44,22,14), 13 times derived, 3 times residual
• residual design of supplementary of 6-(29,9,693) (# 12143)
• derived from supplementary of 6-(29,10,3465) (# 15988)
• residual design of 6-(29,9,1078) (# 15990)
• derived from 6-(29,10,5390) (# 15991)

# 12146: 6-(30,9,792)

• clan: 21-(44,22,9), 1 times reduced t, 13 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(29,9,693) (# 12143) : der= 6-(29,8,99) and res= 6-(29,9,693) - the given design is the residual.

# 12147: 5-(30,9,7700)

• clan: 21-(44,22,14), 2 times reduced t, 13 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(29,9,6468) (# 12144) : der= 5-(29,8,1232) and res= 5-(29,9,6468) - the given design is the residual.
• supplementary design of 6-(30,9,792) (# 12146) with respect to smaller t
• derived from supplementary of 6-(31,10,4950) (# 12234)
• residual design of supplementary of 6-(31,9,900) (# 12285)

# 12148: 6-(29,9,714)

• clan: 8-(31,10,102), 1 times derived, 1 times residual
• $P\Sigma L(2,27)+$

# 12149: 5-(29,9,6342)

• clan: 8-(31,10,151), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,714) (# 12148) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1057) (# 12150) : der= 5-(28,8,1057) and res= 5-(28,9,5285) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5285) (# 12151) : der= 5-(28,8,1057) and res= 5-(28,9,5285) - the given design is the residual.

# 12150: 5-(28,8,1057)

• clan: 8-(31,10,151), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,714) (# 12148)

# 12151: 5-(28,9,5285)

• clan: 8-(31,10,151), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,714) (# 12148)

# 12152: 6-(29,9,735)

• clan: 8-(31,10,105), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,735) (# 15994)
• residual design of 7-(30,9,105) (# 16046)

# 12153: 5-(29,9,6216)

• clan: 8-(31,10,148), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,735) (# 12152) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,5180) (# 12154) : der= 5-(28,8,1036) and res= 5-(28,9,5180) - the given design is the residual.
• residual design of supplementary of 6-(30,9,840) (# 12155)
• derived from supplementary of 6-(30,10,4410) (# 12238)
• derived from 6-(30,10,6216) (# 15996)
• design 6-(29,9,1036) (# 15997) with respect to smaller t
• residual design of 6-(30,9,1184) (# 16047)

# 12154: 5-(28,9,5180)

• clan: 8-(31,10,148), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,735) (# 12152)
• derived from supplementary of 6-(29,10,3675) (# 15995)
• residual design of 6-(29,9,1036) (# 15997)
• derived from 6-(29,10,5180) (# 15998)

# 12155: 6-(30,9,840)

• clan: 8-(31,10,105), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,735) (# 12152) : der= 6-(29,8,105) and res= 6-(29,9,735) - the given design is the residual.
• design 7-(30,9,105) (# 16046) with respect to smaller t
• derived from 7-(31,10,840) (# 16049)

# 12156: 5-(30,9,7400)

• clan: 8-(31,10,148), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,6216) (# 12153) : der= 5-(29,8,1184) and res= 5-(29,9,6216) - the given design is the residual.
• supplementary design of 6-(30,9,840) (# 12155) with respect to smaller t
• derived from supplementary of 6-(31,10,5250) (# 12243)
• design 6-(30,9,1184) (# 16047) with respect to smaller t
• derived from 6-(31,10,7400) (# 16050)

# 12157: 6-(29,9,756)

• clan: 8-(31,10,108), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,756) (# 16001)

# 12158: 5-(29,9,6090)

• clan: 8-(31,10,145), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,756) (# 12157) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1015) (# 12159) : der= 5-(28,8,1015) and res= 5-(28,9,5075) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5075) (# 12160) : der= 5-(28,8,1015) and res= 5-(28,9,5075) - the given design is the residual.
• derived from supplementary of 6-(30,10,4536) (# 16002)
• derived from 6-(30,10,6090) (# 16004)
• design 6-(29,9,1015) (# 16005) with respect to smaller t

# 12159: 5-(28,8,1015)

• clan: 8-(31,10,145), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,756) (# 12157)
• derived from 6-(29,9,1015) (# 16005)

# 12160: 5-(28,9,5075)

• clan: 8-(31,10,145), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,756) (# 12157)
• derived from supplementary of 6-(29,10,3780) (# 16003)
• residual design of 6-(29,9,1015) (# 16005)
• derived from 6-(29,10,5075) (# 16006)

# 12161: 6-(29,9,784)

• clan: 8-(31,10,112), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• residual design of 7-(30,9,112) (# 16051)

# 12162: 5-(29,9,5922)

• clan: 8-(31,10,141), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,784) (# 12161) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,4935) (# 12163) : der= 5-(28,8,987) and res= 5-(28,9,4935) - the given design is the residual.
• residual design of supplementary of 6-(30,9,896) (# 12164)
• derived from supplementary of 6-(30,10,4704) (# 12246)
• residual design of 6-(30,9,1128) (# 16052)
• design 6-(29,9,987) (# 16054) with respect to smaller t

# 12163: 5-(28,9,4935)

• clan: 8-(31,10,141), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,784) (# 12161)
• residual design of 6-(29,9,987) (# 16054)

# 12164: 6-(30,9,896)

• clan: 8-(31,10,112), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,784) (# 12161) : der= 6-(29,8,112) and res= 6-(29,9,784) - the given design is the residual.
• design 7-(30,9,112) (# 16051) with respect to smaller t

# 12165: 5-(30,9,7050)

• clan: 8-(31,10,141), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,5922) (# 12162) : der= 5-(29,8,1128) and res= 5-(29,9,5922) - the given design is the residual.
• supplementary design of 6-(30,9,896) (# 12164) with respect to smaller t
• derived from supplementary of 6-(31,10,5600) (# 12251)
• design 6-(30,9,1128) (# 16052) with respect to smaller t

# 12166: 6-(29,9,798)

• clan: 8-(31,10,114), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12167: 5-(29,9,5838)

• clan: 8-(31,10,139), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,798) (# 12166) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,4865) (# 12168) : der= 5-(28,8,973) and res= 5-(28,9,4865) - the given design is the residual.

# 12168: 5-(28,9,4865)

• clan: 8-(31,10,139), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,798) (# 12166)

# 12169: 6-(29,9,819)

• clan: 8-(31,10,117), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,819) (# 16029)

# 12170: 6-(30,10,4914)

• clan: 8-(31,10,117), 1 times reduced t, 1 times residual
• Tran van Trung construction (right) for 6-(29,9,819) (# 12169) : der= 6-(29,9,819) and res= 6-(29,10,4095) - the given design is the derived.
• $P\Gamma L(2,27)++$ \cite{Bettenetal97b}
• design 7-(30,10,819) (# 16029) with respect to smaller t

# 12171: 6-(29,9,826)

• clan: 8-(31,10,118), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12172: 5-(29,9,5670)

• clan: 8-(31,10,135), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,826) (# 12171) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,4725) (# 12173) : der= 5-(28,8,945) and res= 5-(28,9,4725) - the given design is the residual.
• derived from supplementary of 6-(30,10,4956) (# 12254)

# 12173: 5-(28,9,4725)

• clan: 8-(31,10,135), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,826) (# 12171)

# 12174: 6-(29,9,840)

• clan: 8-(31,10,120), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12175: 5-(29,9,5586)

• clan: 8-(31,10,133), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,840) (# 12174) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,4655) (# 12176) : der= 5-(28,8,931) and res= 5-(28,9,4655) - the given design is the residual.
• residual design of supplementary of 6-(30,9,960) (# 12177)

# 12176: 5-(28,9,4655)

• clan: 8-(31,10,133), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,840) (# 12174)

# 12177: 6-(30,9,960)

• clan: 8-(31,10,120), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,840) (# 12174) : der= 6-(29,8,120) and res= 6-(29,9,840) - the given design is the residual.

# 12178: 5-(30,9,6650)

• clan: 8-(31,10,133), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,5586) (# 12175) : der= 5-(29,8,1064) and res= 5-(29,9,5586) - the given design is the residual.
• supplementary design of 6-(30,9,960) (# 12177) with respect to smaller t

# 12179: 6-(29,9,861)

• clan: 8-(31,10,123), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,10,861) (# 16042)

# 12180: 6-(30,10,5166)

• clan: 8-(31,10,123), 1 times reduced t, 1 times residual
• Tran van Trung construction (right) for 6-(29,9,861) (# 12179) : der= 6-(29,9,861) and res= 6-(29,10,4305) - the given design is the derived.
• $P\Gamma L(2,27)++$ \cite{Bettenetal97b}
• design 7-(30,10,861) (# 16042) with respect to smaller t

# 12181: 6-(29,9,882)

• clan: 8-(31,10,126), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12182: 5-(29,9,5292)

• clan: 8-(31,10,126), 1 times reduced t, 1 times derived, 1 times residual
• design 6-(29,9,882) (# 12181) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,4410) (# 12183) : der= 5-(28,8,882) and res= 5-(28,9,4410) - the given design is the residual.
• residual design of 6-(30,9,1008) (# 12186)
• derived from 6-(30,10,5292) (# 12271)

# 12183: 5-(28,9,4410)

• clan: 8-(31,10,126), 1 times derived, 2 times residual
• residual design of 6-(29,9,882) (# 12181)

# 12184: 5-(29,9,5334)

• clan: 8-(31,10,127), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,882) (# 12181) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,4445) (# 12185) : der= 5-(28,8,889) and res= 5-(28,9,4445) - the given design is the residual.
• residual design of supplementary of 6-(30,9,1008) (# 12186)
• derived from supplementary of 6-(30,10,5292) (# 12271)

# 12185: 5-(28,9,4445)

• clan: 8-(31,10,127), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,882) (# 12181)

# 12186: 6-(30,9,1008)

• clan: 8-(31,10,126), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,882) (# 12181) : der= 6-(29,8,126) and res= 6-(29,9,882) - the given design is the residual.

# 12187: 5-(30,9,6300)

• clan: 8-(31,10,126), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,5292) (# 12182) : der= 5-(29,8,1008) and res= 5-(29,9,5292) - the given design is the residual.
• design 6-(30,9,1008) (# 12186) with respect to smaller t
• derived from 6-(31,10,6300) (# 12276)

# 12188: 5-(30,9,6350)

• clan: 8-(31,10,127), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,5334) (# 12184) : der= 5-(29,8,1016) and res= 5-(29,9,5334) - the given design is the residual.
• supplementary design of 6-(30,9,1008) (# 12186) with respect to smaller t
• derived from supplementary of 6-(31,10,6300) (# 12276)

# 12189: 6-(30,10,1512)

• clan: 8-(31,10,36), 1 times reduced t, 1 times residual
• $P\Gamma L(2,27)++$ (>= 168 isom. types) \cite{Bettenetal97b}

# 12190: 5-(30,10,7560)

• clan: 8-(31,10,36), 2 times reduced t, 1 times residual
• design 6-(30,10,1512) (# 12189) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,6048) (# 12191) : der= 5-(29,9,1512) and res= 5-(29,10,6048) - the given design is the residual.
• residual design of 6-(31,10,1800) (# 12194)

# 12191: 5-(29,10,6048)

• clan: 8-(31,10,36), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,1512) (# 12189)

# 12192: 5-(30,10,45570)

• clan: 8-(31,10,217), 2 times reduced t, 1 times residual
• supplementary design of 6-(30,10,1512) (# 12189) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,36456) (# 12193) : der= 5-(29,9,9114) and res= 5-(29,10,36456) - the given design is the residual.
• residual design of supplementary of 6-(31,10,1800) (# 12194)

# 12193: 5-(29,10,36456)

• clan: 8-(31,10,217), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,1512) (# 12189)

# 12194: 6-(31,10,1800)

• clan: 8-(31,10,36), 2 times reduced t
• Tran van Trung construction (left) for 6-(30,10,1512) (# 12189) : der= 6-(30,9,288) and res= 6-(30,10,1512) - the given design is the residual.

# 12195: 5-(31,10,9360)

• clan: 8-(31,10,36), 3 times reduced t
• Tran van Trung construction (left) for 5-(30,10,7560) (# 12190) : der= 5-(30,9,1800) and res= 5-(30,10,7560) - the given design is the residual.
• design 6-(31,10,1800) (# 12194) with respect to smaller t

# 12196: 5-(31,10,56420)

• clan: 8-(31,10,217), 3 times reduced t
• Tran van Trung construction (left) for 5-(30,10,45570) (# 12192) : der= 5-(30,9,10850) and res= 5-(30,10,45570) - the given design is the residual.
• supplementary design of 6-(31,10,1800) (# 12194) with respect to smaller t

# 12197: 6-(30,10,1764)

• clan: 8-(31,10,42), 1 times reduced t, 1 times residual
• $P\Gamma L(2,27)++$ (many isom. types) \cite{Bettenetal97b}

# 12198: 5-(30,10,8820)

• clan: 8-(31,10,42), 2 times reduced t, 1 times residual
• design 6-(30,10,1764) (# 12197) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,7056) (# 12199) : der= 5-(29,9,1764) and res= 5-(29,10,7056) - the given design is the residual.
• residual design of 6-(31,10,2100) (# 12202)

# 12199: 5-(29,10,7056)

• clan: 8-(31,10,42), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,1764) (# 12197)

created: Fri Oct 23 11:12:56 CEST 2009