t designs with small t, id ge 12000

• clan: 21-(44,22,11), 2 times reduced t, 13 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(29,8,968) (# 11997) : der= 5-(29,8,968) and res= 5-(29,9,5082) - the given design is the derived.

# 12001: 5-(30,8,1200)

• clan: 21-(44,22,12), 2 times reduced t, 14 times derived
• Tran van Trung construction (left) for 5-(29,8,1056) (# 11998) : der= 5-(29,7,144) and res= 5-(29,8,1056) - the given design is the residual.

# 12002: 5-(31,9,7150)

• clan: 21-(44,22,11), 3 times reduced t, 13 times derived
• Tran van Trung construction (right) for 5-(30,8,1100) (# 11999) : der= 5-(30,8,1100) and res= 5-(30,9,6050) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,9,6050) (# 12000) : der= 5-(30,8,1100) and res= 5-(30,9,6050) - the given design is the residual.

# 12003: 6-(29,8,105)

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

# 12004: 5-(29,8,1184)

• clan: 8-(31,10,148), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,105) (# 12003) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,148) (# 12005) : der= 5-(28,7,148) and res= 5-(28,8,1036) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1036) (# 12006) : der= 5-(28,7,148) and res= 5-(28,8,1036) - the given design is the residual.
• derived from supplementary of 6-(30,9,840) (# 12155)
• derived from 6-(30,9,1184) (# 16047)
• design 6-(29,8,148) (# 16048) with respect to smaller t

# 12005: 5-(28,7,148)

• clan: 8-(31,10,148), 3 times derived
• derived from supplementary of 6-(29,8,105) (# 12003)
• derived from 6-(29,8,148) (# 16048)

# 12006: 5-(28,8,1036)

• clan: 8-(31,10,148), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,105) (# 12003)
• derived from supplementary of 6-(29,9,735) (# 12152)
• derived from 6-(29,9,1036) (# 15997)
• residual design of 6-(29,8,148) (# 16048)

# 12007: 6-(29,8,106)

• clan: 8-(31,10,106), 2 times derived
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12008: 5-(29,8,1176)

• clan: 8-(31,10,147), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,106) (# 12007) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,147) (# 12009) : der= 5-(28,7,147) and res= 5-(28,8,1029) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1029) (# 12010) : der= 5-(28,7,147) and res= 5-(28,8,1029) - the given design is the residual.

# 12009: 5-(28,7,147)

• clan: 8-(31,10,147), 3 times derived
• derived from supplementary of 6-(29,8,106) (# 12007)

# 12010: 5-(28,8,1029)

• clan: 8-(31,10,147), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,106) (# 12007)

# 12011: 6-(29,8,112)

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

# 12012: 5-(29,8,1128)

• clan: 8-(31,10,141), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,112) (# 12011) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,141) (# 12013) : der= 5-(28,7,141) and res= 5-(28,8,987) - the given design is the derived.
• derived from supplementary of 6-(30,9,896) (# 12164)
• derived from 6-(30,9,1128) (# 16052)
• design 6-(29,8,141) (# 16053) with respect to smaller t

# 12013: 5-(28,7,141)

• clan: 8-(31,10,141), 3 times derived
• derived from supplementary of 6-(29,8,112) (# 12011)
• derived from 6-(29,8,141) (# 16053)

# 12014: 6-(29,8,120)

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

# 12015: 5-(29,8,1064)

• clan: 8-(31,10,133), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,120) (# 12014) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,133) (# 12016) : der= 5-(28,7,133) and res= 5-(28,8,931) - the given design is the derived.
• design 6-(29,8,133) (# 12020) with respect to smaller t
• derived from supplementary of 6-(30,9,960) (# 12177)

# 12016: 5-(28,7,133)

• clan: 8-(31,10,133), 3 times derived
• derived from supplementary of 6-(29,8,120) (# 12014)
• derived from 6-(29,8,133) (# 12020)

# 12017: 6-(29,8,126)

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

# 12018: 5-(29,8,1016)

• clan: 8-(31,10,127), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,126) (# 12017) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,127) (# 12019) : der= 5-(28,7,127) and res= 5-(28,8,889) - the given design is the derived.
• derived from supplementary of 6-(30,9,1008) (# 12186)

# 12019: 5-(28,7,127)

• clan: 8-(31,10,127), 3 times derived
• derived from supplementary of 6-(29,8,126) (# 12017)

# 12020: 6-(29,8,133)

• clan: 8-(31,10,133), 2 times derived
• $P\Sigma L(2,27)+$

# 12021: 6-(29,8,36)

• clan: 8-(31,10,36), 2 times derived
• $P\Gamma L(2,27)+$ (8 isom. types) \cite{Bettenetal97b}

# 12022: 5-(29,8,1736)

• clan: 8-(31,10,217), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,36) (# 12021) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,217) (# 12023) : der= 5-(28,7,217) and res= 5-(28,8,1519) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1519) (# 12024) : der= 5-(28,7,217) and res= 5-(28,8,1519) - the given design is the residual.
• derived from supplementary of 6-(30,9,288) (# 12088)

# 12023: 5-(28,7,217)

• clan: 8-(31,10,217), 3 times derived
• derived from supplementary of 6-(29,8,36) (# 12021)

# 12024: 5-(28,8,1519)

• clan: 8-(31,10,217), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,36) (# 12021)
• derived from supplementary of 6-(29,9,252) (# 12085)

# 12025: 6-(29,8,42)

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

# 12026: 5-(29,8,1688)

• clan: 8-(31,10,211), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,42) (# 12025) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,211) (# 12027) : der= 5-(28,7,211) and res= 5-(28,8,1477) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1477) (# 12028) : der= 5-(28,7,211) and res= 5-(28,8,1477) - the given design is the residual.
• derived from supplementary of 6-(30,9,336) (# 12093)

# 12027: 5-(28,7,211)

• clan: 8-(31,10,211), 3 times derived
• derived from supplementary of 6-(29,8,42) (# 12025)

# 12028: 5-(28,8,1477)

• clan: 8-(31,10,211), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,42) (# 12025)
• derived from supplementary of 6-(29,9,294) (# 12090)

# 12029: 6-(29,8,43)

• clan: 8-(31,10,43), 2 times derived
• $P\Gamma L(2,27)+$ (43 isom. types) \cite{Bettenetal97b}

# 12030: 5-(29,8,1680)

• clan: 8-(31,10,210), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,43) (# 12029) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,210) (# 12031) : der= 5-(28,7,210) and res= 5-(28,8,1470) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1470) (# 12032) : der= 5-(28,7,210) and res= 5-(28,8,1470) - the given design is the residual.

# 12031: 5-(28,7,210)

• clan: 8-(31,10,210), 3 times derived
• derived from supplementary of 6-(29,8,43) (# 12029)

# 12032: 5-(28,8,1470)

• clan: 8-(31,10,210), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,43) (# 12029)

# 12033: 6-(29,8,49)

• clan: 8-(31,10,49), 2 times derived
• $P\Gamma L(2,27)+$ (479 isom. types) \cite{Bettenetal97b}

# 12034: 5-(29,8,1632)

• clan: 8-(31,10,204), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,49) (# 12033) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,204) (# 12035) : der= 5-(28,7,204) and res= 5-(28,8,1428) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1428) (# 12036) : der= 5-(28,7,204) and res= 5-(28,8,1428) - the given design is the residual.

# 12035: 5-(28,7,204)

• clan: 8-(31,10,204), 3 times derived
• derived from supplementary of 6-(29,8,49) (# 12033)

# 12036: 5-(28,8,1428)

• clan: 8-(31,10,204), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,49) (# 12033)

# 12037: 6-(29,8,57)

• clan: 8-(31,10,57), 2 times derived
• $P\Gamma L(2,27)+$ (5177 isom. types) \cite{Bettenetal97b}

# 12038: 5-(29,8,1568)

• clan: 8-(31,10,196), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,57) (# 12037) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,196) (# 12039) : der= 5-(28,7,196) and res= 5-(28,8,1372) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1372) (# 12040) : der= 5-(28,7,196) and res= 5-(28,8,1372) - the given design is the residual.

# 12039: 5-(28,7,196)

• clan: 8-(31,10,196), 3 times derived
• derived from supplementary of 6-(29,8,57) (# 12037)

# 12040: 5-(28,8,1372)

• clan: 8-(31,10,196), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,57) (# 12037)

# 12041: 6-(29,8,63)

• clan: 8-(31,10,63), 2 times derived
• $P\Gamma L(2,27)+$ (17195 isom. types) \cite{Bettenetal97b}
• derived from 7-(30,9,63) (# 16055)

# 12042: 5-(29,8,1520)

• clan: 8-(31,10,190), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,63) (# 12041) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,190) (# 12043) : der= 5-(28,7,190) and res= 5-(28,8,1330) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1330) (# 12044) : der= 5-(28,7,190) and res= 5-(28,8,1330) - the given design is the residual.
• derived from supplementary of 6-(30,9,504) (# 16056)
• derived from 6-(30,9,1520) (# 16058)
• design 6-(29,8,190) (# 16059) with respect to smaller t

# 12043: 5-(28,7,190)

• clan: 8-(31,10,190), 3 times derived
• derived from supplementary of 6-(29,8,63) (# 12041)
• derived from 6-(29,8,190) (# 16059)

# 12044: 5-(28,8,1330)

• clan: 8-(31,10,190), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,63) (# 12041)
• derived from supplementary of 6-(29,9,441) (# 16057)
• residual design of 6-(29,8,190) (# 16059)
• derived from 6-(29,9,1330) (# 16060)

# 12045: 6-(29,8,64)

• clan: 8-(31,10,64), 2 times derived
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• derived from 7-(30,9,64) (# 16064)

# 12046: 5-(29,8,1512)

• clan: 8-(31,10,189), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,64) (# 12045) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,189) (# 12047) : der= 5-(28,7,189) and res= 5-(28,8,1323) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1323) (# 12048) : der= 5-(28,7,189) and res= 5-(28,8,1323) - the given design is the residual.
• derived from supplementary of 6-(30,9,512) (# 12102)
• derived from 6-(30,9,1512) (# 16065)
• design 6-(29,8,189) (# 16066) with respect to smaller t

# 12047: 5-(28,7,189)

• clan: 8-(31,10,189), 3 times derived
• derived from supplementary of 6-(29,8,64) (# 12045)
• derived from 6-(29,8,189) (# 16066)

# 12048: 5-(28,8,1323)

• clan: 8-(31,10,189), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,64) (# 12045)
• derived from supplementary of 6-(29,9,448) (# 12099)
• residual design of 6-(29,8,189) (# 16066)
• derived from 6-(29,9,1323) (# 16067)

# 12049: 6-(29,8,70)

• clan: 8-(31,10,70), 2 times derived
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12050: 5-(29,8,1464)

• clan: 8-(31,10,183), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,70) (# 12049) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,183) (# 12051) : der= 5-(28,7,183) and res= 5-(28,8,1281) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1281) (# 12052) : der= 5-(28,7,183) and res= 5-(28,8,1281) - the given design is the residual.
• derived from supplementary of 6-(30,9,560) (# 12120)

# 12051: 5-(28,7,183)

• clan: 8-(31,10,183), 3 times derived
• derived from supplementary of 6-(29,8,70) (# 12049)

# 12052: 5-(28,8,1281)

• clan: 8-(31,10,183), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,70) (# 12049)
• derived from supplementary of 6-(29,9,490) (# 12117)

# 12053: 6-(29,8,78)

• clan: 8-(31,10,78), 2 times derived
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12054: 5-(29,8,1400)

• clan: 8-(31,10,175), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,78) (# 12053) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,175) (# 12055) : der= 5-(28,7,175) and res= 5-(28,8,1225) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1225) (# 12056) : der= 5-(28,7,175) and res= 5-(28,8,1225) - the given design is the residual.
• derived from supplementary of 6-(30,9,624) (# 15923)

# 12055: 5-(28,7,175)

• clan: 8-(31,10,175), 3 times derived
• derived from supplementary of 6-(29,8,78) (# 12053)

# 12056: 5-(28,8,1225)

• clan: 8-(31,10,175), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,78) (# 12053)
• derived from supplementary of 6-(29,9,546) (# 15912)
• derived from 6-(29,9,1225) (# 15915)

# 12057: 6-(29,8,84)

• clan: 8-(31,10,84), 2 times derived
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12058: 5-(29,8,1352)

• clan: 8-(31,10,169), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,84) (# 12057) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,169) (# 12059) : der= 5-(28,7,169) and res= 5-(28,8,1183) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1183) (# 12060) : der= 5-(28,7,169) and res= 5-(28,8,1183) - the given design is the residual.

# 12059: 5-(28,7,169)

• clan: 8-(31,10,169), 3 times derived
• derived from supplementary of 6-(29,8,84) (# 12057)

# 12060: 5-(28,8,1183)

• clan: 8-(31,10,169), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,84) (# 12057)

# 12061: 6-(29,8,85)

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

# 12062: 5-(29,8,1344)

• clan: 8-(31,10,168), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,85) (# 12061) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,168) (# 12063) : der= 5-(28,7,168) and res= 5-(28,8,1176) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1176) (# 12064) : der= 5-(28,7,168) and res= 5-(28,8,1176) - the given design is the residual.
• derived from supplementary of 6-(30,9,680) (# 12133)

# 12063: 5-(28,7,168)

• clan: 8-(31,10,168), 3 times derived
• derived from supplementary of 6-(29,8,85) (# 12061)

# 12064: 5-(28,8,1176)

• clan: 8-(31,10,168), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,85) (# 12061)
• derived from supplementary of 6-(29,9,595) (# 12130)

# 12065: 6-(29,8,91)

• clan: 8-(31,10,91), 2 times derived
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12066: 5-(29,8,1296)

• clan: 8-(31,10,162), 1 times reduced t, 2 times derived
• supplementary design of 6-(29,8,91) (# 12065) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,162) (# 12067) : der= 5-(28,7,162) and res= 5-(28,8,1134) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1134) (# 12068) : der= 5-(28,7,162) and res= 5-(28,8,1134) - the given design is the residual.

# 12067: 5-(28,7,162)

• clan: 8-(31,10,162), 3 times derived
• derived from supplementary of 6-(29,8,91) (# 12065)

# 12068: 5-(28,8,1134)

• clan: 8-(31,10,162), 2 times derived, 1 times residual
• residual design of supplementary of 6-(29,8,91) (# 12065)

# 12069: 6-(29,8,99)

• clan: 21-(44,22,9), 14 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12070: 5-(29,8,1232)

• clan: 21-(44,22,14), 1 times reduced t, 14 times derived, 1 times residual
• supplementary design of 6-(29,8,99) (# 12069) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,154) (# 12071) : der= 5-(28,7,154) and res= 5-(28,8,1078) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1078) (# 12072) : der= 5-(28,7,154) and res= 5-(28,8,1078) - the given design is the residual.
• derived from supplementary of 6-(30,9,792) (# 12146)
• residual design of supplementary of 6-(30,8,108) (# 12282)

# 12071: 5-(28,7,154)

• clan: 21-(44,22,14), 15 times derived, 1 times residual
• derived from supplementary of 6-(29,8,99) (# 12069)

# 12072: 5-(28,8,1078)

• clan: 21-(44,22,14), 14 times derived, 2 times residual
• residual design of supplementary of 6-(29,8,99) (# 12069)
• derived from supplementary of 6-(29,9,693) (# 12143)
• derived from 6-(29,9,1078) (# 15990)

# 12073: 6-(29,9,105)

• clan: 8-(31,10,15), 1 times derived, 1 times residual
• $PGL(2,27)+$ \cite{Bettenetal97b}

# 12074: 5-(29,9,9996)

• clan: 8-(31,10,238), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,105) (# 12073) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1666) (# 12075) : der= 5-(28,8,1666) and res= 5-(28,9,8330) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,8330) (# 12076) : der= 5-(28,8,1666) and res= 5-(28,9,8330) - the given design is the residual.

# 12075: 5-(28,8,1666)

• clan: 8-(31,10,238), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,105) (# 12073)

# 12076: 5-(28,9,8330)

• clan: 8-(31,10,238), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,105) (# 12073)

# 12077: 6-(29,9,126)

• clan: 8-(31,10,18), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12078: 5-(29,9,9870)

• clan: 8-(31,10,235), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,126) (# 12077) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1645) (# 12079) : der= 5-(28,8,1645) and res= 5-(28,9,8225) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,8225) (# 12080) : der= 5-(28,8,1645) and res= 5-(28,9,8225) - the given design is the residual.

# 12079: 5-(28,8,1645)

• clan: 8-(31,10,235), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,126) (# 12077)

# 12080: 5-(28,9,8225)

• clan: 8-(31,10,235), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,126) (# 12077)

# 12081: 6-(29,9,154)

• clan: 21-(44,22,2), 13 times derived, 2 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12082: 5-(29,9,9702)

• clan: 21-(44,22,21), 1 times reduced t, 13 times derived, 2 times residual
• supplementary design of 6-(29,9,154) (# 12081) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1617) (# 12083) : der= 5-(28,8,1617) and res= 5-(28,9,8085) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,8085) (# 12084) : der= 5-(28,8,1617) and res= 5-(28,9,8085) - the given design is the residual.

# 12083: 5-(28,8,1617)

• clan: 21-(44,22,21), 14 times derived, 2 times residual
• derived from supplementary of 6-(29,9,154) (# 12081)

# 12084: 5-(28,9,8085)

• clan: 21-(44,22,21), 13 times derived, 3 times residual
• residual design of supplementary of 6-(29,9,154) (# 12081)

# 12085: 6-(29,9,252)

• clan: 8-(31,10,36), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12086: 5-(29,9,9114)

• clan: 8-(31,10,217), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,252) (# 12085) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,7595) (# 12087) : der= 5-(28,8,1519) and res= 5-(28,9,7595) - the given design is the residual.
• residual design of supplementary of 6-(30,9,288) (# 12088)
• derived from supplementary of 6-(30,10,1512) (# 12189)

# 12087: 5-(28,9,7595)

• clan: 8-(31,10,217), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,252) (# 12085)

# 12088: 6-(30,9,288)

• clan: 8-(31,10,36), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,252) (# 12085) : der= 6-(29,8,36) and res= 6-(29,9,252) - the given design is the residual.

# 12089: 5-(30,9,10850)

• clan: 8-(31,10,217), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,9114) (# 12086) : der= 5-(29,8,1736) and res= 5-(29,9,9114) - the given design is the residual.
• supplementary design of 6-(30,9,288) (# 12088) with respect to smaller t
• derived from supplementary of 6-(31,10,1800) (# 12194)

# 12090: 6-(29,9,294)

• clan: 8-(31,10,42), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12091: 5-(29,9,8862)

• clan: 8-(31,10,211), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,294) (# 12090) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,9,7385) (# 12092) : der= 5-(28,8,1477) and res= 5-(28,9,7385) - the given design is the residual.
• residual design of supplementary of 6-(30,9,336) (# 12093)
• derived from supplementary of 6-(30,10,1764) (# 12197)

# 12092: 5-(28,9,7385)

• clan: 8-(31,10,211), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,294) (# 12090)

# 12093: 6-(30,9,336)

• clan: 8-(31,10,42), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(29,9,294) (# 12090) : der= 6-(29,8,42) and res= 6-(29,9,294) - the given design is the residual.

# 12094: 5-(30,9,10550)

• clan: 8-(31,10,211), 2 times reduced t, 1 times derived
• Tran van Trung construction (left) for 5-(29,9,8862) (# 12091) : der= 5-(29,8,1688) and res= 5-(29,9,8862) - the given design is the residual.
• supplementary design of 6-(30,9,336) (# 12093) with respect to smaller t
• derived from supplementary of 6-(31,10,2100) (# 12202)

# 12095: 6-(29,9,406)

• clan: 8-(31,10,58), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}

# 12096: 5-(29,9,8190)

• clan: 8-(31,10,195), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(29,9,406) (# 12095) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1365) (# 12097) : der= 5-(28,8,1365) and res= 5-(28,9,6825) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,6825) (# 12098) : der= 5-(28,8,1365) and res= 5-(28,9,6825) - the given design is the residual.

# 12097: 5-(28,8,1365)

• clan: 8-(31,10,195), 2 times derived, 1 times residual
• derived from supplementary of 6-(29,9,406) (# 12095)

# 12098: 5-(28,9,6825)

• clan: 8-(31,10,195), 1 times derived, 2 times residual
• residual design of supplementary of 6-(29,9,406) (# 12095)

# 12099: 6-(29,9,448)

• clan: 8-(31,10,64), 1 times derived, 1 times residual
• $P\Gamma L(2,27)+$ \cite{Bettenetal97b}
• residual design of 7-(30,9,64) (# 16064)

created: Fri Oct 23 11:12:53 CEST 2009