t designs with small t, id ge 15100

• clan: 15-(32,16,15), 8 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,1153680) (# 15098)

# 15101: 5-(31,15,4686825)

• clan: 15-(32,16,15), 9 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,1802625) (# 15099) : der= 5-(30,14,1802625) and res= 5-(30,15,2884200) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,2884200) (# 15100) : der= 5-(30,14,1802625) and res= 5-(30,15,2884200) - the given design is the residual.

# 15102: 5-(32,16,11504025)

• clan: 15-(32,16,15), 10 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,4686825) (# 15101)

# 15103: 7-(27,13,9900)

• clan: 11-(30,15,990), 1 times reduced t, 2 times derived, 1 times residual
• $ASL(3,3)$

# 15104: 6-(26,12,9900)

• clan: 11-(30,15,990), 1 times reduced t, 3 times derived, 1 times residual
• derived from 7-(27,13,9900) (# 15103)

# 15105: 6-(26,13,19800)

• clan: 11-(30,15,990), 1 times reduced t, 2 times derived, 2 times residual
• residual design of 7-(27,13,9900) (# 15103)

# 15106: 6-(26,12,28860)

• clan: 11-(30,15,2886), 1 times reduced t, 3 times derived, 1 times residual
• derived from supplementary of 7-(27,13,9900) (# 15103)

# 15107: 6-(26,13,57720)

• clan: 11-(30,15,2886), 1 times reduced t, 2 times derived, 2 times residual
• residual design of supplementary of 7-(27,13,9900) (# 15103)

# 15108: 5-(25,11,28860)

• clan: 11-(30,15,2886), 1 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 6-(26,12,9900) (# 15104)
• derived from 6-(26,12,28860) (# 15106)

# 15109: 5-(25,12,57720)

• clan: 11-(30,15,2886), 1 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 6-(26,12,9900) (# 15104)
• derived from supplementary of 6-(26,13,19800) (# 15105)
• residual design of 6-(26,12,28860) (# 15106)
• derived from 6-(26,13,57720) (# 15107)

# 15110: 5-(25,13,32175)

• clan: 11-(30,15,990), 1 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(26,13,19800) (# 15105)
• residual design of supplementary of 6-(26,13,57720) (# 15107)

# 15111: 5-(25,13,93795)

• clan: 11-(30,15,2886), 1 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(26,13,19800) (# 15105)
• residual design of 6-(26,13,57720) (# 15107)

# 15112: 7-(28,10,630)

• clan: 17-(36,18,9), 2 times reduced t, 8 times derived
• $P\Gamma L(2,27)$ (>= 100 isom. types) \cite{Bettenetal97b}

# 15113: 6-(28,10,3465)

• clan: 17-(36,18,9), 3 times reduced t, 8 times derived
• design 7-(28,10,630) (# 15112) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,9,630) (# 15114) : der= 6-(27,9,630) and res= 6-(27,10,2835) - the given design is the derived.
• derived from 7-(29,11,3465) (# 15117)

# 15114: 6-(27,9,630)

• clan: 17-(36,18,9), 2 times reduced t, 9 times derived
• derived from 7-(28,10,630) (# 15112)

# 15115: 6-(28,10,3850)

• clan: 17-(36,18,10), 3 times reduced t, 8 times derived
• supplementary design of 7-(28,10,630) (# 15112) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,9,700) (# 15116) : der= 6-(27,9,700) and res= 6-(27,10,3150) - the given design is the derived.
• derived from supplementary of 7-(29,11,3465) (# 15117)

# 15116: 6-(27,9,700)

• clan: 17-(36,18,10), 2 times reduced t, 9 times derived
• derived from supplementary of 7-(28,10,630) (# 15112)

# 15117: 7-(29,11,3465)

• clan: 17-(36,18,9), 3 times reduced t, 7 times derived
• Tran van Trung construction (right) for 7-(28,10,630) (# 15112) : der= 7-(28,10,630) and res= 7-(28,11,2835) - the given design is the derived.
• $P\Gamma L(2,27)+$ (>= 1 isom. types)

# 15118: 5-(28,10,17710)

• clan: 17-(36,18,10), 4 times reduced t, 8 times derived
• supplementary design of 6-(28,10,3465) (# 15113) with respect to smaller t
• design 6-(28,10,3850) (# 15115) with respect to smaller t
• Tran van Trung construction (right) for 5-(27,9,3850) (# 15119) : der= 5-(27,9,3850) and res= 5-(27,10,13860) - the given design is the derived.
• derived from supplementary of 6-(29,11,15939) (# 15120)
• derived from 6-(29,11,17710) (# 15122)

# 15119: 5-(27,9,3850)

• clan: 17-(36,18,10), 3 times reduced t, 9 times derived
• derived from supplementary of 6-(28,10,3465) (# 15113)
• supplementary design of 6-(27,9,630) (# 15114) with respect to smaller t
• derived from 6-(28,10,3850) (# 15115)
• design 6-(27,9,700) (# 15116) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,8,700) (# 15121) : der= 5-(26,8,700) and res= 5-(26,9,3150) - the given design is the derived.

# 15120: 6-(29,11,15939)

• clan: 17-(36,18,9), 4 times reduced t, 7 times derived
• Tran van Trung construction (right) for 6-(28,10,3465) (# 15113) : der= 6-(28,10,3465) and res= 6-(28,11,12474) - the given design is the derived.
• design 7-(29,11,3465) (# 15117) with respect to smaller t

# 15121: 5-(26,8,700)

• clan: 17-(36,18,10), 2 times reduced t, 10 times derived
• derived from supplementary of 6-(27,9,630) (# 15114)
• derived from 6-(27,9,700) (# 15116)

# 15122: 6-(29,11,17710)

• clan: 17-(36,18,10), 4 times reduced t, 7 times derived
• Tran van Trung construction (right) for 6-(28,10,3850) (# 15115) : der= 6-(28,10,3850) and res= 6-(28,11,13860) - the given design is the derived.
• supplementary design of 7-(29,11,3465) (# 15117) with respect to smaller t

# 15123: 5-(29,11,70840)

• clan: 17-(36,18,10), 5 times reduced t, 7 times derived
• Tran van Trung construction (right) for 5-(28,10,17710) (# 15118) : der= 5-(28,10,17710) and res= 5-(28,11,53130) - the given design is the derived.
• supplementary design of 6-(29,11,15939) (# 15120) with respect to smaller t
• design 6-(29,11,17710) (# 15122) with respect to smaller t

# 15124: 7-(28,13,10080)

• clan: 13-(32,16,180), 2 times reduced t, 3 times derived, 1 times residual
• $Sp(6,2)$ 1 isomorphism type

# 15125: 6-(28,13,31680)

• clan: 13-(32,16,180), 3 times reduced t, 3 times derived, 1 times residual
• design 7-(28,13,10080) (# 15124) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,12,10080) (# 15126) : der= 6-(27,12,10080) and res= 6-(27,13,21600) - the given design is the derived.
• Tran van Trung construction (left) for 6-(27,13,21600) (# 15127) : der= 6-(27,12,10080) and res= 6-(27,13,21600) - the given design is the residual.
• derived from 7-(29,14,31680) (# 15157)

# 15126: 6-(27,12,10080)

• clan: 13-(32,16,180), 2 times reduced t, 4 times derived, 1 times residual
• derived from 7-(28,13,10080) (# 15124)

# 15127: 6-(27,13,21600)

• clan: 13-(32,16,180), 2 times reduced t, 3 times derived, 2 times residual
• residual design of 7-(28,13,10080) (# 15124)
• derived from 7-(28,14,21600) (# 15142)
• derived from supplementary of 7-(28,14,94680) (# 15146)

# 15128: 6-(28,13,138864)

• clan: 13-(32,16,789), 3 times reduced t, 3 times derived, 1 times residual
• supplementary design of 7-(28,13,10080) (# 15124) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,12,44184) (# 15129) : der= 6-(27,12,44184) and res= 6-(27,13,94680) - the given design is the derived.
• Tran van Trung construction (left) for 6-(27,13,94680) (# 15130) : der= 6-(27,12,44184) and res= 6-(27,13,94680) - the given design is the residual.
• derived from supplementary of 7-(29,14,31680) (# 15157)

# 15129: 6-(27,12,44184)

• clan: 13-(32,16,789), 2 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 7-(28,13,10080) (# 15124)

# 15130: 6-(27,13,94680)

• clan: 13-(32,16,789), 2 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 7-(28,13,10080) (# 15124)
• derived from supplementary of 7-(28,14,21600) (# 15142)
• derived from 7-(28,14,94680) (# 15146)

# 15131: 5-(28,13,91080)

• clan: 13-(32,16,180), 4 times reduced t, 3 times derived, 1 times residual
• design 6-(28,13,31680) (# 15125) with respect to smaller t
• supplementary design of 6-(28,13,138864) (# 15128) with respect to smaller t
• Tran van Trung construction (right) for 5-(27,12,31680) (# 15132) : der= 5-(27,12,31680) and res= 5-(27,13,59400) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,59400) (# 15133) : der= 5-(27,12,31680) and res= 5-(27,13,59400) - the given design is the residual.
• residual design of 6-(29,13,45540) (# 15151)
• derived from 6-(29,14,91080) (# 15154)
• residual design of supplementary of 6-(29,13,199617) (# 15158)
• derived from supplementary of 6-(29,14,399234) (# 15159)

# 15132: 5-(27,12,31680)

• clan: 13-(32,16,180), 3 times reduced t, 4 times derived, 1 times residual
• derived from 6-(28,13,31680) (# 15125)
• design 6-(27,12,10080) (# 15126) with respect to smaller t
• derived from supplementary of 6-(28,13,138864) (# 15128)
• supplementary design of 6-(27,12,44184) (# 15129) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,21600) (# 15137) : der= 5-(26,11,10080) and res= 5-(26,12,21600) - the given design is the residual.
• residual design of 6-(28,12,13860) (# 15139)
• residual design of supplementary of 6-(28,12,60753) (# 15144)

# 15133: 5-(27,13,59400)

• clan: 13-(32,16,180), 3 times reduced t, 3 times derived, 2 times residual
• residual design of 6-(28,13,31680) (# 15125)
• design 6-(27,13,21600) (# 15127) with respect to smaller t
• residual design of supplementary of 6-(28,13,138864) (# 15128)
• supplementary design of 6-(27,13,94680) (# 15130) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,12,21600) (# 15137) : der= 5-(26,12,21600) and res= 5-(26,13,37800) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,13,37800) (# 15140) : der= 5-(26,12,21600) and res= 5-(26,13,37800) - the given design is the residual.
• derived from 6-(28,14,59400) (# 15141)
• derived from supplementary of 6-(28,14,260370) (# 15145)

# 15134: 5-(28,13,399234)

• clan: 13-(32,16,789), 4 times reduced t, 3 times derived, 1 times residual
• supplementary design of 6-(28,13,31680) (# 15125) with respect to smaller t
• design 6-(28,13,138864) (# 15128) with respect to smaller t
• Tran van Trung construction (right) for 5-(27,12,138864) (# 15135) : der= 5-(27,12,138864) and res= 5-(27,13,260370) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,260370) (# 15136) : der= 5-(27,12,138864) and res= 5-(27,13,260370) - the given design is the residual.
• residual design of supplementary of 6-(29,13,45540) (# 15151)
• derived from supplementary of 6-(29,14,91080) (# 15154)
• residual design of 6-(29,13,199617) (# 15158)
• derived from 6-(29,14,399234) (# 15159)

# 15135: 5-(27,12,138864)

• clan: 13-(32,16,789), 3 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 6-(28,13,31680) (# 15125)
• supplementary design of 6-(27,12,10080) (# 15126) with respect to smaller t
• derived from 6-(28,13,138864) (# 15128)
• design 6-(27,12,44184) (# 15129) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,94680) (# 15138) : der= 5-(26,11,44184) and res= 5-(26,12,94680) - the given design is the residual.
• residual design of supplementary of 6-(28,12,13860) (# 15139)
• residual design of 6-(28,12,60753) (# 15144)

# 15136: 5-(27,13,260370)

• clan: 13-(32,16,789), 3 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 6-(28,13,31680) (# 15125)
• supplementary design of 6-(27,13,21600) (# 15127) with respect to smaller t
• residual design of 6-(28,13,138864) (# 15128)
• design 6-(27,13,94680) (# 15130) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,12,94680) (# 15138) : der= 5-(26,12,94680) and res= 5-(26,13,165690) - the given design is the derived.
• derived from supplementary of 6-(28,14,59400) (# 15141)
• Tran van Trung construction (left) for 5-(26,13,165690) (# 15143) : der= 5-(26,12,94680) and res= 5-(26,13,165690) - the given design is the residual.
• derived from 6-(28,14,260370) (# 15145)

# 15137: 5-(26,12,21600)

• clan: 13-(32,16,180), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,10080) (# 15126)
• derived from 6-(27,13,21600) (# 15127)
• residual design of supplementary of 6-(27,12,44184) (# 15129)
• derived from supplementary of 6-(27,13,94680) (# 15130)

# 15138: 5-(26,12,94680)

• clan: 13-(32,16,789), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,10080) (# 15126)
• derived from supplementary of 6-(27,13,21600) (# 15127)
• residual design of 6-(27,12,44184) (# 15129)
• derived from 6-(27,13,94680) (# 15130)

# 15139: 6-(28,12,13860)

• clan: 13-(32,16,180), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,10080) (# 15126) : der= 6-(27,11,3780) and res= 6-(27,12,10080) - the given design is the residual.

# 15140: 5-(26,13,37800)

• clan: 13-(32,16,180), 2 times reduced t, 3 times derived, 3 times residual
• residual design of 6-(27,13,21600) (# 15127)
• residual design of supplementary of 6-(27,13,94680) (# 15130)
• derived from 6-(27,14,37800) (# 15155)
• derived from supplementary of 6-(27,14,165690) (# 15156)

# 15141: 6-(28,14,59400)

• clan: 13-(32,16,180), 3 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,21600) (# 15127)
• design 7-(28,14,21600) (# 15142) with respect to smaller t
• supplementary design of 7-(28,14,94680) (# 15146) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,37800) (# 15155) : der= 6-(27,13,21600) and res= 6-(27,14,37800) - the given design is the residual.
• residual design of 7-(29,14,31680) (# 15157)

# 15142: 7-(28,14,21600)

• clan: 13-(32,16,180), 2 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,21600) (# 15127)

# 15143: 5-(26,13,165690)

• clan: 13-(32,16,789), 2 times reduced t, 3 times derived, 3 times residual
• residual design of supplementary of 6-(27,13,21600) (# 15127)
• residual design of 6-(27,13,94680) (# 15130)
• derived from supplementary of 6-(27,14,37800) (# 15155)
• derived from 6-(27,14,165690) (# 15156)

# 15144: 6-(28,12,60753)

• clan: 13-(32,16,789), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,44184) (# 15129) : der= 6-(27,11,16569) and res= 6-(27,12,44184) - the given design is the residual.

# 15145: 6-(28,14,260370)

• clan: 13-(32,16,789), 3 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,94680) (# 15130)
• supplementary design of 7-(28,14,21600) (# 15142) with respect to smaller t
• design 7-(28,14,94680) (# 15146) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,165690) (# 15156) : der= 6-(27,13,94680) and res= 6-(27,14,165690) - the given design is the residual.
• residual design of supplementary of 7-(29,14,31680) (# 15157)

# 15146: 7-(28,14,94680)

• clan: 13-(32,16,789), 2 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,94680) (# 15130)

# 15147: 5-(28,12,45540)

• clan: 13-(32,16,180), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,31680) (# 15132) : der= 5-(27,11,13860) and res= 5-(27,12,31680) - the given design is the residual.
• design 6-(28,12,13860) (# 15139) with respect to smaller t
• supplementary design of 6-(28,12,60753) (# 15144) with respect to smaller t
• derived from 6-(29,13,45540) (# 15151)
• derived from supplementary of 6-(29,13,199617) (# 15158)

# 15148: 5-(28,14,151800)

• clan: 13-(32,16,180), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,59400) (# 15133)
• design 6-(28,14,59400) (# 15141) with respect to smaller t
• supplementary design of 6-(28,14,260370) (# 15145) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,92400) (# 15152) : der= 5-(27,13,59400) and res= 5-(27,14,92400) - the given design is the residual.
• residual design of 6-(29,14,91080) (# 15154)
• residual design of supplementary of 6-(29,14,399234) (# 15159)
• derived from 6-(29,15,151800) (# 15179)
• derived from supplementary of 6-(29,15,665390) (# 15180)

# 15149: 5-(28,12,199617)

• clan: 13-(32,16,789), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,138864) (# 15135) : der= 5-(27,11,60753) and res= 5-(27,12,138864) - the given design is the residual.
• supplementary design of 6-(28,12,13860) (# 15139) with respect to smaller t
• design 6-(28,12,60753) (# 15144) with respect to smaller t
• derived from supplementary of 6-(29,13,45540) (# 15151)
• derived from 6-(29,13,199617) (# 15158)

# 15150: 5-(28,14,665390)

• clan: 13-(32,16,789), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,260370) (# 15136)
• supplementary design of 6-(28,14,59400) (# 15141) with respect to smaller t
• design 6-(28,14,260370) (# 15145) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,405020) (# 15153) : der= 5-(27,13,260370) and res= 5-(27,14,405020) - the given design is the residual.
• residual design of supplementary of 6-(29,14,91080) (# 15154)
• residual design of 6-(29,14,399234) (# 15159)
• derived from supplementary of 6-(29,15,151800) (# 15179)
• derived from 6-(29,15,665390) (# 15180)

# 15151: 6-(29,13,45540)

• clan: 13-(32,16,180), 4 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(28,12,13860) (# 15139) : der= 6-(28,12,13860) and res= 6-(28,13,31680) - the given design is the derived.

# 15152: 5-(27,14,92400)

• clan: 13-(32,16,180), 3 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(28,14,59400) (# 15141)
• residual design of supplementary of 6-(28,14,260370) (# 15145)
• design 6-(27,14,37800) (# 15155) with respect to smaller t
• supplementary design of 6-(27,14,165690) (# 15156) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,54600) (# 15167) : der= 5-(26,13,37800) and res= 5-(26,14,54600) - the given design is the residual.

# 15153: 5-(27,14,405020)

• clan: 13-(32,16,789), 3 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(28,14,59400) (# 15141)
• residual design of 6-(28,14,260370) (# 15145)
• supplementary design of 6-(27,14,37800) (# 15155) with respect to smaller t
• design 6-(27,14,165690) (# 15156) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,239330) (# 15168) : der= 5-(26,13,165690) and res= 5-(26,14,239330) - the given design is the residual.

# 15154: 6-(29,14,91080)

• clan: 13-(32,16,180), 4 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(28,14,59400) (# 15141) : der= 6-(28,13,31680) and res= 6-(28,14,59400) - the given design is the residual.
• design 7-(29,14,31680) (# 15157) with respect to smaller t
• derived from 7-(30,15,91080) (# 15166)
• derived from supplementary of 7-(30,15,399234) (# 15171)

# 15155: 6-(27,14,37800)

• clan: 13-(32,16,180), 2 times reduced t, 2 times derived, 3 times residual
• residual design of 7-(28,14,21600) (# 15142)
• residual design of supplementary of 7-(28,14,94680) (# 15146)

# 15156: 6-(27,14,165690)

• clan: 13-(32,16,789), 2 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 7-(28,14,21600) (# 15142)
• residual design of 7-(28,14,94680) (# 15146)

# 15157: 7-(29,14,31680)

• clan: 13-(32,16,180), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 7-(28,14,21600) (# 15142) : der= 7-(28,13,10080) and res= 7-(28,14,21600) - the given design is the residual.

# 15158: 6-(29,13,199617)

• clan: 13-(32,16,789), 4 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(28,12,60753) (# 15144) : der= 6-(28,12,60753) and res= 6-(28,13,138864) - the given design is the derived.

# 15159: 6-(29,14,399234)

• clan: 13-(32,16,789), 4 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(28,14,260370) (# 15145) : der= 6-(28,13,138864) and res= 6-(28,14,260370) - the given design is the residual.
• supplementary design of 7-(29,14,31680) (# 15157) with respect to smaller t
• derived from supplementary of 7-(30,15,91080) (# 15166)
• derived from 7-(30,15,399234) (# 15171)

# 15160: 5-(29,13,136620)

• clan: 13-(32,16,180), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,45540) (# 15147) : der= 5-(28,12,45540) and res= 5-(28,13,91080) - the given design is the derived.
• design 6-(29,13,45540) (# 15151) with respect to smaller t
• supplementary design of 6-(29,13,199617) (# 15158) with respect to smaller t
• derived from 6-(30,14,136620) (# 15164)
• derived from supplementary of 6-(30,14,598851) (# 15169)

# 15161: 5-(29,14,242880)

• clan: 13-(32,16,180), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,151800) (# 15148) : der= 5-(28,13,91080) and res= 5-(28,14,151800) - the given design is the residual.
• design 6-(29,14,91080) (# 15154) with respect to smaller t
• supplementary design of 6-(29,14,399234) (# 15159) with respect to smaller t
• residual design of 6-(30,14,136620) (# 15164)
• derived from 6-(30,15,242880) (# 15165)
• residual design of supplementary of 6-(30,14,598851) (# 15169)
• derived from supplementary of 6-(30,15,1064624) (# 15170)

# 15162: 5-(29,13,598851)

• clan: 13-(32,16,789), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,199617) (# 15149) : der= 5-(28,12,199617) and res= 5-(28,13,399234) - the given design is the derived.
• supplementary design of 6-(29,13,45540) (# 15151) with respect to smaller t
• design 6-(29,13,199617) (# 15158) with respect to smaller t
• derived from supplementary of 6-(30,14,136620) (# 15164)
• derived from 6-(30,14,598851) (# 15169)

# 15163: 5-(29,14,1064624)

• clan: 13-(32,16,789), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,665390) (# 15150) : der= 5-(28,13,399234) and res= 5-(28,14,665390) - the given design is the residual.
• supplementary design of 6-(29,14,91080) (# 15154) with respect to smaller t
• design 6-(29,14,399234) (# 15159) with respect to smaller t
• residual design of supplementary of 6-(30,14,136620) (# 15164)
• derived from supplementary of 6-(30,15,242880) (# 15165)
• residual design of 6-(30,14,598851) (# 15169)
• derived from 6-(30,15,1064624) (# 15170)

# 15164: 6-(30,14,136620)

• clan: 13-(32,16,180), 5 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(29,13,45540) (# 15151) : der= 6-(29,13,45540) and res= 6-(29,14,91080) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,14,91080) (# 15154) : der= 6-(29,13,45540) and res= 6-(29,14,91080) - the given design is the residual.

# 15165: 6-(30,15,242880)

• clan: 13-(32,16,180), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(29,14,91080) (# 15154)
• design 7-(30,15,91080) (# 15166) with respect to smaller t
• supplementary design of 7-(30,15,399234) (# 15171) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,15,151800) (# 15179) : der= 6-(29,14,91080) and res= 6-(29,15,151800) - the given design is the residual.

# 15166: 7-(30,15,91080)

• clan: 13-(32,16,180), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(29,14,91080) (# 15154)
• Tran van Trung construction with complementary design for 7-(29,14,31680) (# 15157)

# 15167: 5-(26,14,54600)

• clan: 13-(32,16,180), 2 times reduced t, 2 times derived, 4 times residual
• residual design of 6-(27,14,37800) (# 15155)
• residual design of supplementary of 6-(27,14,165690) (# 15156)

# 15168: 5-(26,14,239330)

• clan: 13-(32,16,789), 2 times reduced t, 2 times derived, 4 times residual
• residual design of supplementary of 6-(27,14,37800) (# 15155)
• residual design of 6-(27,14,165690) (# 15156)

# 15169: 6-(30,14,598851)

• clan: 13-(32,16,789), 5 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(29,13,199617) (# 15158) : der= 6-(29,13,199617) and res= 6-(29,14,399234) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,14,399234) (# 15159) : der= 6-(29,13,199617) and res= 6-(29,14,399234) - the given design is the residual.

# 15170: 6-(30,15,1064624)

• clan: 13-(32,16,789), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(29,14,399234) (# 15159)
• supplementary design of 7-(30,15,91080) (# 15166) with respect to smaller t
• design 7-(30,15,399234) (# 15171) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,15,665390) (# 15180) : der= 6-(29,14,399234) and res= 6-(29,15,665390) - the given design is the residual.

# 15171: 7-(30,15,399234)

• clan: 13-(32,16,789), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(29,14,399234) (# 15159)

# 15172: 5-(30,14,379500)

• clan: 13-(32,16,180), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,136620) (# 15160) : der= 5-(29,13,136620) and res= 5-(29,14,242880) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,242880) (# 15161) : der= 5-(29,13,136620) and res= 5-(29,14,242880) - the given design is the residual.
• design 6-(30,14,136620) (# 15164) with respect to smaller t
• supplementary design of 6-(30,14,598851) (# 15169) with respect to smaller t
• derived from 6-(31,15,379500) (# 15176)
• derived from supplementary of 6-(31,15,1663475) (# 15181)

# 15173: 5-(30,15,607200)

• clan: 13-(32,16,180), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,242880) (# 15161)
• design 6-(30,15,242880) (# 15165) with respect to smaller t
• supplementary design of 6-(30,15,1064624) (# 15170) with respect to smaller t
• residual design of 6-(31,15,379500) (# 15176)
• Tran van Trung construction (left) for 5-(29,15,364320) (# 15177) : der= 5-(29,14,242880) and res= 5-(29,15,364320) - the given design is the residual.
• residual design of supplementary of 6-(31,15,1663475) (# 15181)
• derived from 6-(31,16,607200) (# 15194)
• derived from supplementary of 6-(31,16,2661560) (# 15195)

# 15174: 5-(30,14,1663475)

• clan: 13-(32,16,789), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,598851) (# 15162) : der= 5-(29,13,598851) and res= 5-(29,14,1064624) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,1064624) (# 15163) : der= 5-(29,13,598851) and res= 5-(29,14,1064624) - the given design is the residual.
• supplementary design of 6-(30,14,136620) (# 15164) with respect to smaller t
• design 6-(30,14,598851) (# 15169) with respect to smaller t
• derived from supplementary of 6-(31,15,379500) (# 15176)
• derived from 6-(31,15,1663475) (# 15181)

# 15175: 5-(30,15,2661560)

• clan: 13-(32,16,789), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,1064624) (# 15163)
• supplementary design of 6-(30,15,242880) (# 15165) with respect to smaller t
• design 6-(30,15,1064624) (# 15170) with respect to smaller t
• residual design of supplementary of 6-(31,15,379500) (# 15176)
• Tran van Trung construction (left) for 5-(29,15,1596936) (# 15178) : der= 5-(29,14,1064624) and res= 5-(29,15,1596936) - the given design is the residual.
• residual design of 6-(31,15,1663475) (# 15181)
• derived from supplementary of 6-(31,16,607200) (# 15194)
• derived from 6-(31,16,2661560) (# 15195)

# 15176: 6-(31,15,379500)

• clan: 13-(32,16,180), 6 times reduced t, 1 times derived
• Tran van Trung construction (right) for 6-(30,14,136620) (# 15164) : der= 6-(30,14,136620) and res= 6-(30,15,242880) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,15,242880) (# 15165) : der= 6-(30,14,136620) and res= 6-(30,15,242880) - the given design is the residual.
• derived from 7-(32,16,379500) (# 15185)
• derived from supplementary of 7-(32,16,1663475) (# 15189)

# 15177: 5-(29,15,364320)

• clan: 13-(32,16,180), 5 times reduced t, 1 times derived, 2 times residual
• residual design of 6-(30,15,242880) (# 15165)
• residual design of supplementary of 6-(30,15,1064624) (# 15170)
• design 6-(29,15,151800) (# 15179) with respect to smaller t
• supplementary design of 6-(29,15,665390) (# 15180) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,212520) (# 15186) : der= 5-(28,14,151800) and res= 5-(28,15,212520) - the given design is the residual.

# 15178: 5-(29,15,1596936)

• clan: 13-(32,16,789), 5 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 6-(30,15,242880) (# 15165)
• residual design of 6-(30,15,1064624) (# 15170)
• supplementary design of 6-(29,15,151800) (# 15179) with respect to smaller t
• design 6-(29,15,665390) (# 15180) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,931546) (# 15187) : der= 5-(28,14,665390) and res= 5-(28,15,931546) - the given design is the residual.

# 15179: 6-(29,15,151800)

• clan: 13-(32,16,180), 4 times reduced t, 1 times derived, 2 times residual
• residual design of 7-(30,15,91080) (# 15166)
• residual design of supplementary of 7-(30,15,399234) (# 15171)

# 15180: 6-(29,15,665390)

• clan: 13-(32,16,789), 4 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 7-(30,15,91080) (# 15166)
• residual design of 7-(30,15,399234) (# 15171)

# 15181: 6-(31,15,1663475)

• clan: 13-(32,16,789), 6 times reduced t, 1 times derived
• Tran van Trung construction (right) for 6-(30,14,598851) (# 15169) : der= 6-(30,14,598851) and res= 6-(30,15,1064624) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,15,1064624) (# 15170) : der= 6-(30,14,598851) and res= 6-(30,15,1064624) - the given design is the residual.
• derived from supplementary of 7-(32,16,379500) (# 15185)
• derived from 7-(32,16,1663475) (# 15189)

# 15182: 5-(31,15,986700)

• clan: 13-(32,16,180), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,379500) (# 15172) : der= 5-(30,14,379500) and res= 5-(30,15,607200) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,607200) (# 15173) : der= 5-(30,14,379500) and res= 5-(30,15,607200) - the given design is the residual.
• design 6-(31,15,379500) (# 15176) with respect to smaller t
• supplementary design of 6-(31,15,1663475) (# 15181) with respect to smaller t
• derived from 6-(32,16,986700) (# 15184)
• derived from supplementary of 6-(32,16,4325035) (# 15188)

# 15183: 5-(31,15,4325035)

• clan: 13-(32,16,789), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,1663475) (# 15174) : der= 5-(30,14,1663475) and res= 5-(30,15,2661560) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,2661560) (# 15175) : der= 5-(30,14,1663475) and res= 5-(30,15,2661560) - the given design is the residual.
• supplementary design of 6-(31,15,379500) (# 15176) with respect to smaller t
• design 6-(31,15,1663475) (# 15181) with respect to smaller t
• derived from supplementary of 6-(32,16,986700) (# 15184)
• derived from 6-(32,16,4325035) (# 15188)

# 15184: 6-(32,16,986700)

• clan: 13-(32,16,180), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,379500) (# 15176)
• design 7-(32,16,379500) (# 15185) with respect to smaller t
• supplementary design of 7-(32,16,1663475) (# 15189) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,607200) (# 15194) : der= 6-(31,15,379500) and res= 6-(31,16,607200) - the given design is the residual.

# 15185: 7-(32,16,379500)

• clan: 13-(32,16,180), 6 times reduced t
• Alltop construction for design 6-(31,15,379500) (# 15176)

# 15186: 5-(28,15,212520)

• clan: 13-(32,16,180), 4 times reduced t, 1 times derived, 3 times residual
• residual design of 6-(29,15,151800) (# 15179)
• residual design of supplementary of 6-(29,15,665390) (# 15180)

# 15187: 5-(28,15,931546)

• clan: 13-(32,16,789), 4 times reduced t, 1 times derived, 3 times residual
• residual design of supplementary of 6-(29,15,151800) (# 15179)
• residual design of 6-(29,15,665390) (# 15180)

# 15188: 6-(32,16,4325035)

• clan: 13-(32,16,789), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,1663475) (# 15181)
• supplementary design of 7-(32,16,379500) (# 15185) with respect to smaller t
• design 7-(32,16,1663475) (# 15189) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,2661560) (# 15195) : der= 6-(31,15,1663475) and res= 6-(31,16,2661560) - the given design is the residual.

# 15189: 7-(32,16,1663475)

• clan: 13-(32,16,789), 6 times reduced t
• Alltop construction for design 6-(31,15,1663475) (# 15181)

# 15190: 5-(32,16,2421900)

• clan: 13-(32,16,180), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,986700) (# 15182)
• design 6-(32,16,986700) (# 15184) with respect to smaller t
• supplementary design of 6-(32,16,4325035) (# 15188) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,1435200) (# 15192) : der= 5-(31,15,986700) and res= 5-(31,16,1435200) - the given design is the residual.

# 15191: 5-(32,16,10615995)

• clan: 13-(32,16,789), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,4325035) (# 15183)
• supplementary design of 6-(32,16,986700) (# 15184) with respect to smaller t
• design 6-(32,16,4325035) (# 15188) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,6290960) (# 15193) : der= 5-(31,15,4325035) and res= 5-(31,16,6290960) - the given design is the residual.

# 15192: 5-(31,16,1435200)

• clan: 13-(32,16,180), 7 times reduced t, 1 times residual
• residual design of 6-(32,16,986700) (# 15184)
• residual design of supplementary of 6-(32,16,4325035) (# 15188)
• design 6-(31,16,607200) (# 15194) with respect to smaller t
• supplementary design of 6-(31,16,2661560) (# 15195) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,828000) (# 15196) : der= 5-(30,15,607200) and res= 5-(30,16,828000) - the given design is the residual.

# 15193: 5-(31,16,6290960)

• clan: 13-(32,16,789), 7 times reduced t, 1 times residual
• residual design of supplementary of 6-(32,16,986700) (# 15184)
• residual design of 6-(32,16,4325035) (# 15188)
• supplementary design of 6-(31,16,607200) (# 15194) with respect to smaller t
• design 6-(31,16,2661560) (# 15195) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,3629400) (# 15197) : der= 5-(30,15,2661560) and res= 5-(30,16,3629400) - the given design is the residual.

# 15194: 6-(31,16,607200)

• clan: 13-(32,16,180), 6 times reduced t, 1 times residual
• residual design of 7-(32,16,379500) (# 15185)
• residual design of supplementary of 7-(32,16,1663475) (# 15189)

# 15195: 6-(31,16,2661560)

• clan: 13-(32,16,789), 6 times reduced t, 1 times residual
• residual design of supplementary of 7-(32,16,379500) (# 15185)
• residual design of 7-(32,16,1663475) (# 15189)

# 15196: 5-(30,16,828000)

• clan: 13-(32,16,180), 6 times reduced t, 2 times residual
• residual design of 6-(31,16,607200) (# 15194)
• residual design of supplementary of 6-(31,16,2661560) (# 15195)

# 15197: 5-(30,16,3629400)

• clan: 13-(32,16,789), 6 times reduced t, 2 times residual
• residual design of supplementary of 6-(31,16,607200) (# 15194)
• residual design of 6-(31,16,2661560) (# 15195)

# 15198: 7-(28,13,15120)

• clan: 13-(32,16,270), 2 times reduced t, 3 times derived, 1 times residual
• $Sp(6,2)$ 2 isomorphism types
• Tran van Trung construction (right) for 7-(27,12,4320) (# 17775) : der= 7-(27,12,4320) and res= 7-(27,13,10800) - the given design is the derived.

# 15199: 6-(27,12,15120)

• clan: 13-(32,16,270), 2 times reduced t, 4 times derived, 1 times residual
• derived from 7-(28,13,15120) (# 15198)
• Tran van Trung construction (left) for 6-(26,12,10800) (# 17769) : der= 6-(26,11,4320) and res= 6-(26,12,10800) - the given design is the residual.
• design 7-(27,12,4320) (# 17775) with respect to smaller t
• residual design of 7-(28,12,5670) (# 17788)

created: Fri Oct 23 11:13:57 CEST 2009