t designs with small t, id ge 7000

# 7000: 5-(25,9,390)

clan: 13-(32,16,78), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,312) (# 6999) : der= 5-(24,8,78) and res= 5-(24,9,312) - the given design is the residual.

# 7001: 5-(25,10,1248)

clan: 13-(32,16,78), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,312) (# 6999) : der= 5-(24,9,312) and res= 5-(24,10,936) - the given design is the derived.

# 7002: 5-(26,10,1638)

clan: 13-(32,16,78), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,390) (# 7000) : der= 5-(25,9,390) and res= 5-(25,10,1248) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1248) (# 7001) : der= 5-(25,9,390) and res= 5-(25,10,1248) - the given design is the residual.

# 7003: 5-(26,11,4368)

clan: 13-(32,16,78), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (right) for 5-(25,10,1248) (# 7001) : der= 5-(25,10,1248) and res= 5-(25,11,3120) - the given design is the derived.
derived from 6-(27,12,4368) (# 10890)

# 7004: 5-(27,11,6006)

clan: 13-(32,16,78), 3 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(26,10,1638) (# 7002) : der= 5-(26,10,1638) and res= 5-(26,11,4368) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,11,4368) (# 7003) : der= 5-(26,10,1638) and res= 5-(26,11,4368) - the given design is the residual.

# 7005: 5-(27,12,13728)

clan: 13-(32,16,78), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,11,4368) (# 7003) : der= 5-(26,11,4368) and res= 5-(26,12,9360) - the given design is the derived.
design 6-(27,12,4368) (# 10890) with respect to smaller t
derived from 6-(28,13,13728) (# 11588)

# 7006: 5-(28,12,19734)

clan: 13-(32,16,78), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,6006) (# 7004) : der= 5-(27,11,6006) and res= 5-(27,12,13728) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,12,13728) (# 7005) : der= 5-(27,11,6006) and res= 5-(27,12,13728) - the given design is the residual.

# 7007: 5-(28,13,39468)

clan: 13-(32,16,78), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(27,12,13728) (# 7005) : der= 5-(27,12,13728) and res= 5-(27,13,25740) - the given design is the derived.
design 6-(28,13,13728) (# 11588) with respect to smaller t
derived from 6-(29,14,39468) (# 11592)
derived from supplementary of 6-(29,14,450846) (# 11609)

# 7008: 5-(29,13,59202)

clan: 13-(32,16,78), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(28,12,19734) (# 7006) : der= 5-(28,12,19734) and res= 5-(28,13,39468) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,13,39468) (# 7007) : der= 5-(28,12,19734) and res= 5-(28,13,39468) - the given design is the residual.

# 7009: 5-(29,14,105248)

clan: 13-(32,16,78), 5 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(28,13,39468) (# 7007) : der= 5-(28,13,39468) and res= 5-(28,14,65780) - the given design is the derived.
design 6-(29,14,39468) (# 11592) with respect to smaller t
derived from 6-(30,15,105248) (# 11599)
derived from supplementary of 6-(30,15,1202256) (# 11608)
supplementary design of 6-(29,14,450846) (# 11609) with respect to smaller t

# 7010: 5-(30,14,164450)

clan: 13-(32,16,78), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(29,13,59202) (# 7008) : der= 5-(29,13,59202) and res= 5-(29,14,105248) - the given design is the derived.
Tran van Trung construction (left) for 5-(29,14,105248) (# 7009) : der= 5-(29,13,59202) and res= 5-(29,14,105248) - the given design is the residual.

# 7011: 5-(30,15,263120)

clan: 13-(32,16,78), 6 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(29,14,105248) (# 7009)
design 6-(30,15,105248) (# 11599) with respect to smaller t
Tran van Trung construction (left) for 5-(29,15,157872) (# 11605) : der= 5-(29,14,105248) and res= 5-(29,15,157872) - the given design is the residual.
supplementary design of 6-(30,15,1202256) (# 11608) with respect to smaller t

# 7012: 5-(31,15,427570)

clan: 13-(32,16,78), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(30,14,164450) (# 7010) : der= 5-(30,14,164450) and res= 5-(30,15,263120) - the given design is the derived.
Tran van Trung construction (left) for 5-(30,15,263120) (# 7011) : der= 5-(30,14,164450) and res= 5-(30,15,263120) - the given design is the residual.

# 7013: 5-(32,16,1049490)

clan: 13-(32,16,78), 8 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,427570) (# 7012)

# 7014: 5-(24,9,318)

clan: 11-(30,15,318), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7015: 5-(25,10,1272)

clan: 11-(30,15,318), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,318) (# 7014) : der= 5-(24,9,318) and res= 5-(24,10,954) - the given design is the derived.

# 7016: 5-(24,9,324)

clan: 13-(32,16,81), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7017: 5-(25,9,405)

clan: 13-(32,16,81), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,324) (# 7016) : der= 5-(24,8,81) and res= 5-(24,9,324) - the given design is the residual.

# 7018: 5-(25,10,1296)

clan: 13-(32,16,81), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,324) (# 7016) : der= 5-(24,9,324) and res= 5-(24,10,972) - the given design is the derived.

# 7019: 5-(26,10,1701)

clan: 13-(32,16,81), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,405) (# 7017) : der= 5-(25,9,405) and res= 5-(25,10,1296) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1296) (# 7018) : der= 5-(25,9,405) and res= 5-(25,10,1296) - the given design is the residual.
derived from 6-(27,11,1701) (# 10617)

# 7020: 5-(24,9,330)

clan: 11-(30,15,330), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7021: 5-(25,10,1320)

clan: 11-(30,15,330), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,330) (# 7020) : der= 5-(24,9,330) and res= 5-(24,10,990) - the given design is the derived.

# 7022: 5-(26,11,4620)

clan: 11-(30,15,330), 2 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,1320) (# 7021) : der= 5-(25,10,1320) and res= 5-(25,11,3300) - the given design is the derived.

# 7023: 5-(27,12,14520)

clan: 11-(30,15,330), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,4620) (# 7022) : der= 5-(26,11,4620) and res= 5-(26,12,9900) - the given design is the derived.

# 7024: 5-(28,13,41745)

clan: 11-(30,15,330), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,14520) (# 7023) : der= 5-(27,12,14520) and res= 5-(27,13,27225) - the given design is the derived.

# 7025: 5-(29,14,111320)

clan: 11-(30,15,330), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,41745) (# 7024) : der= 5-(28,13,41745) and res= 5-(28,14,69575) - the given design is the derived.

# 7026: 5-(30,15,278300)

clan: 11-(30,15,330), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,111320) (# 7025)

# 7027: 5-(24,9,336)

clan: 13-(32,16,84), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7028: 5-(25,9,420)

clan: 13-(32,16,84), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,336) (# 7027) : der= 5-(24,8,84) and res= 5-(24,9,336) - the given design is the residual.

# 7029: 5-(25,10,1344)

clan: 13-(32,16,84), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,336) (# 7027) : der= 5-(24,9,336) and res= 5-(24,10,1008) - the given design is the derived.

# 7030: 5-(26,10,1764)

clan: 13-(32,16,84), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,420) (# 7028) : der= 5-(25,9,420) and res= 5-(25,10,1344) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1344) (# 7029) : der= 5-(25,9,420) and res= 5-(25,10,1344) - the given design is the residual.

# 7031: 5-(24,9,342)

clan: 13-(30,15,12), 2 times reduced t, 6 times derived
$PGL(2,23)$ (>1 isomorphism types)

# 7032: 5-(25,10,1368)

clan: 13-(30,15,12), 3 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,342) (# 7031) : der= 5-(24,9,342) and res= 5-(24,10,1026) - the given design is the derived.

# 7033: 5-(26,11,4788)

clan: 13-(30,15,12), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,1368) (# 7032) : der= 5-(25,10,1368) and res= 5-(25,11,3420) - the given design is the derived.

# 7034: 5-(27,12,15048)

clan: 13-(30,15,12), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,4788) (# 7033) : der= 5-(26,11,4788) and res= 5-(26,12,10260) - the given design is the derived.

# 7035: 5-(28,13,43263)

clan: 13-(30,15,12), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,15048) (# 7034) : der= 5-(27,12,15048) and res= 5-(27,13,28215) - the given design is the derived.

# 7036: 5-(29,14,115368)

clan: 13-(30,15,12), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,43263) (# 7035) : der= 5-(28,13,43263) and res= 5-(28,14,72105) - the given design is the derived.

# 7037: 5-(30,15,288420)

clan: 13-(30,15,12), 8 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,115368) (# 7036)

# 7038: 5-(24,9,348)

clan: 13-(32,16,87), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7039: 5-(25,9,435)

clan: 13-(32,16,87), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,348) (# 7038) : der= 5-(24,8,87) and res= 5-(24,9,348) - the given design is the residual.

# 7040: 5-(25,10,1392)

clan: 13-(32,16,87), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,348) (# 7038) : der= 5-(24,9,348) and res= 5-(24,10,1044) - the given design is the derived.

# 7041: 5-(26,10,1827)

clan: 13-(32,16,87), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,435) (# 7039) : der= 5-(25,9,435) and res= 5-(25,10,1392) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1392) (# 7040) : der= 5-(25,9,435) and res= 5-(25,10,1392) - the given design is the residual.

# 7042: 5-(24,9,354)

clan: 11-(30,15,354), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7043: 5-(25,10,1416)

clan: 11-(30,15,354), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,354) (# 7042) : der= 5-(24,9,354) and res= 5-(24,10,1062) - the given design is the derived.

# 7044: 5-(24,9,36)

clan: 13-(32,16,9), 7 times derived, 1 times residual
$PSL(2,23)$ (4 solutions)
\cite{Driessen78} $M_{24}$ 1 isomorphism type

# 7045: 5-(25,9,45)

clan: 13-(32,16,9), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,36) (# 7044) : der= 5-(24,8,9) and res= 5-(24,9,36) - the given design is the residual.

# 7046: 5-(25,10,144)

clan: 13-(32,16,9), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,36) (# 7044) : der= 5-(24,9,36) and res= 5-(24,10,108) - the given design is the derived.

# 7047: 5-(26,10,189)

clan: 13-(32,16,9), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,45) (# 7045) : der= 5-(25,9,45) and res= 5-(25,10,144) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,144) (# 7046) : der= 5-(25,9,45) and res= 5-(25,10,144) - the given design is the residual.

# 7048: 5-(24,9,360)

clan: 13-(32,16,90), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7049: 5-(25,9,450)

clan: 13-(32,16,90), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,360) (# 7048) : der= 5-(24,8,90) and res= 5-(24,9,360) - the given design is the residual.

# 7050: 5-(25,10,1440)

clan: 13-(32,16,90), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,360) (# 7048) : der= 5-(24,9,360) and res= 5-(24,10,1080) - the given design is the derived.

# 7051: 5-(26,10,1890)

clan: 13-(32,16,90), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,450) (# 7049) : der= 5-(25,9,450) and res= 5-(25,10,1440) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1440) (# 7050) : der= 5-(25,9,450) and res= 5-(25,10,1440) - the given design is the residual.

# 7052: 5-(24,9,366)

clan: 11-(30,15,366), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7053: 5-(25,10,1464)

clan: 11-(30,15,366), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,366) (# 7052) : der= 5-(24,9,366) and res= 5-(24,10,1098) - the given design is the derived.

# 7054: 5-(24,9,372)

clan: 13-(32,16,93), 7 times derived, 1 times residual
$PGL(2,23)$ (>1 isomorphism types)

# 7055: 5-(25,9,465)

clan: 13-(32,16,93), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,372) (# 7054) : der= 5-(24,8,93) and res= 5-(24,9,372) - the given design is the residual.

# 7056: 5-(25,10,1488)

clan: 13-(32,16,93), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,372) (# 7054) : der= 5-(24,9,372) and res= 5-(24,10,1116) - the given design is the derived.

# 7057: 5-(26,10,1953)

clan: 13-(32,16,93), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,465) (# 7055) : der= 5-(25,9,465) and res= 5-(25,10,1488) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1488) (# 7056) : der= 5-(25,9,465) and res= 5-(25,10,1488) - the given design is the residual.

# 7058: 5-(24,9,378)

clan: 11-(30,15,378), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7059: 5-(25,10,1512)

clan: 11-(30,15,378), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,378) (# 7058) : der= 5-(24,9,378) and res= 5-(24,10,1134) - the given design is the derived.

# 7060: 5-(26,11,5292)

clan: 11-(30,15,378), 2 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(25,10,1512) (# 7059) : der= 5-(25,10,1512) and res= 5-(25,11,3780) - the given design is the derived.

# 7061: 5-(27,12,16632)

clan: 11-(30,15,378), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,5292) (# 7060) : der= 5-(26,11,5292) and res= 5-(26,12,11340) - the given design is the derived.

# 7062: 5-(28,13,47817)

clan: 11-(30,15,378), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,16632) (# 7061) : der= 5-(27,12,16632) and res= 5-(27,13,31185) - the given design is the derived.

# 7063: 5-(29,14,127512)

clan: 11-(30,15,378), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,47817) (# 7062) : der= 5-(28,13,47817) and res= 5-(28,14,79695) - the given design is the derived.

# 7064: 5-(30,15,318780)

clan: 11-(30,15,378), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,127512) (# 7063)

# 7065: 5-(24,9,384)

clan: 13-(32,16,96), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7066: 5-(25,9,480)

clan: 13-(32,16,96), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,384) (# 7065) : der= 5-(24,8,96) and res= 5-(24,9,384) - the given design is the residual.

# 7067: 5-(25,10,1536)

clan: 13-(32,16,96), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,384) (# 7065) : der= 5-(24,9,384) and res= 5-(24,10,1152) - the given design is the derived.

# 7068: 5-(26,10,2016)

clan: 13-(32,16,96), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,480) (# 7066) : der= 5-(25,9,480) and res= 5-(25,10,1536) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1536) (# 7067) : der= 5-(25,9,480) and res= 5-(25,10,1536) - the given design is the residual.

# 7069: 5-(24,9,390)

clan: 11-(30,15,390), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7070: 5-(25,10,1560)

clan: 11-(30,15,390), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,390) (# 7069) : der= 5-(24,9,390) and res= 5-(24,10,1170) - the given design is the derived.

# 7071: 5-(24,9,396)

clan: 13-(32,16,99), 7 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7072: 5-(25,9,495)

clan: 13-(32,16,99), 1 times reduced t, 7 times derived
Tran van Trung construction (left) for 5-(24,9,396) (# 7071) : der= 5-(24,8,99) and res= 5-(24,9,396) - the given design is the residual.

# 7073: 5-(25,10,1584)

clan: 13-(32,16,99), 1 times reduced t, 6 times derived, 1 times residual
Tran van Trung construction (right) for 5-(24,9,396) (# 7071) : der= 5-(24,9,396) and res= 5-(24,10,1188) - the given design is the derived.

# 7074: 5-(26,10,2079)

clan: 13-(32,16,99), 2 times reduced t, 6 times derived
Tran van Trung construction (right) for 5-(25,9,495) (# 7072) : der= 5-(25,9,495) and res= 5-(25,10,1584) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1584) (# 7073) : der= 5-(25,9,495) and res= 5-(25,10,1584) - the given design is the residual.
derived from 6-(27,11,2079) (# 10623)

# 7075: 5-(26,11,5544)

clan: 13-(32,16,99), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (right) for 5-(25,10,1584) (# 7073) : der= 5-(25,10,1584) and res= 5-(25,11,3960) - the given design is the derived.
residual design of 6-(27,11,2079) (# 10623)

# 7076: 5-(27,11,7623)

clan: 13-(32,16,99), 3 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(26,10,2079) (# 7074) : der= 5-(26,10,2079) and res= 5-(26,11,5544) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,11,5544) (# 7075) : der= 5-(26,10,2079) and res= 5-(26,11,5544) - the given design is the residual.
design 6-(27,11,2079) (# 10623) with respect to smaller t

# 7077: 5-(27,12,17424)

clan: 13-(32,16,99), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,11,5544) (# 7075) : der= 5-(26,11,5544) and res= 5-(26,12,11880) - the given design is the derived.

# 7078: 5-(28,12,25047)

clan: 13-(32,16,99), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,7623) (# 7076) : der= 5-(27,11,7623) and res= 5-(27,12,17424) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,12,17424) (# 7077) : der= 5-(27,11,7623) and res= 5-(27,12,17424) - the given design is the residual.

# 7079: 5-(28,13,50094)

clan: 13-(32,16,99), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(27,12,17424) (# 7077) : der= 5-(27,12,17424) and res= 5-(27,13,32670) - the given design is the derived.

# 7080: 5-(29,13,75141)

clan: 13-(32,16,99), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(28,12,25047) (# 7078) : der= 5-(28,12,25047) and res= 5-(28,13,50094) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,13,50094) (# 7079) : der= 5-(28,12,25047) and res= 5-(28,13,50094) - the given design is the residual.

# 7081: 5-(29,14,133584)

clan: 13-(32,16,99), 5 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(28,13,50094) (# 7079) : der= 5-(28,13,50094) and res= 5-(28,14,83490) - the given design is the derived.

# 7082: 5-(30,14,208725)

clan: 13-(32,16,99), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(29,13,75141) (# 7080) : der= 5-(29,13,75141) and res= 5-(29,14,133584) - the given design is the derived.
Tran van Trung construction (left) for 5-(29,14,133584) (# 7081) : der= 5-(29,13,75141) and res= 5-(29,14,133584) - the given design is the residual.

# 7083: 5-(30,15,333960)

clan: 13-(32,16,99), 6 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(29,14,133584) (# 7081)

# 7084: 5-(31,15,542685)

clan: 13-(32,16,99), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(30,14,208725) (# 7082) : der= 5-(30,14,208725) and res= 5-(30,15,333960) - the given design is the derived.
Tran van Trung construction (left) for 5-(30,15,333960) (# 7083) : der= 5-(30,14,208725) and res= 5-(30,15,333960) - the given design is the residual.

# 7085: 5-(32,16,1332045)

clan: 13-(32,16,99), 8 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,542685) (# 7084)

# 7086: 5-(24,9,402)

clan: 11-(30,15,402), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7087: 5-(25,10,1608)

clan: 11-(30,15,402), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,402) (# 7086) : der= 5-(24,9,402) and res= 5-(24,10,1206) - the given design is the derived.

# 7088: 5-(24,9,408)

clan: 17-(36,18,2), 9 times derived, 3 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7089: 5-(25,9,510)

clan: 17-(36,18,2), 1 times reduced t, 9 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,9,408) (# 7088) : der= 5-(24,8,102) and res= 5-(24,9,408) - the given design is the residual.

# 7090: 5-(25,10,1632)

clan: 17-(36,18,2), 1 times reduced t, 8 times derived, 3 times residual
Tran van Trung construction (right) for 5-(24,9,408) (# 7088) : der= 5-(24,9,408) and res= 5-(24,10,1224) - the given design is the derived.

# 7091: 5-(26,9,630)

clan: 17-(36,18,2), 2 times reduced t, 9 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,9,510) (# 7089) : der= 5-(25,8,120) and res= 5-(25,9,510) - the given design is the residual.
$PGL(2,25)$

# 7092: 5-(26,10,2142)

clan: 17-(36,18,2), 2 times reduced t, 8 times derived, 2 times residual
Tran van Trung construction (right) for 5-(25,9,510) (# 7089) : der= 5-(25,9,510) and res= 5-(25,10,1632) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,10,1632) (# 7090) : der= 5-(25,9,510) and res= 5-(25,10,1632) - the given design is the residual.

# 7093: 5-(27,9,770)

clan: 17-(36,18,2), 3 times reduced t, 9 times derived
Tran van Trung construction (left) for 5-(26,9,630) (# 7091) : der= 5-(26,8,140) and res= 5-(26,9,630) - the given design is the residual.
$PGL(2,25)+$

# 7094: 5-(27,10,2772)

clan: 17-(36,18,2), 3 times reduced t, 8 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,9,630) (# 7091) : der= 5-(26,9,630) and res= 5-(26,10,2142) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,10,2142) (# 7092) : der= 5-(26,9,630) and res= 5-(26,10,2142) - the given design is the residual.

# 7095: 5-(28,10,3542)

clan: 17-(36,18,2), 4 times reduced t, 8 times derived
Tran van Trung construction (right) for 5-(27,9,770) (# 7093) : der= 5-(27,9,770) and res= 5-(27,10,2772) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,10,2772) (# 7094) : der= 5-(27,9,770) and res= 5-(27,10,2772) - the given design is the residual.

# 7096: 5-(24,9,414)

clan: 11-(30,15,414), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 7097: 5-(25,10,1656)

clan: 11-(30,15,414), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,414) (# 7096) : der= 5-(24,9,414) and res= 5-(24,10,1242) - the given design is the derived.

# 7098: 5-(24,9,42)

clan: 11-(30,15,42), 6 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
$PSL(2,23)$ (10 isomorphism types)

# 7099: 5-(25,10,168)

clan: 11-(30,15,42), 1 times reduced t, 5 times derived
Tran van Trung construction (right) for 5-(24,9,42) (# 7098) : der= 5-(24,9,42) and res= 5-(24,10,126) - the given design is the derived.

created: Fri Oct 23 11:10:26 CEST 2009