t designs with small t, id ge 15200

• clan: 13-(32,16,699), 3 times reduced t, 3 times derived, 1 times residual
• supplementary design of 7-(28,13,15120) (# 15198) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,12,39144) (# 15201) : der= 6-(27,12,39144) and res= 6-(27,13,83880) - the given design is the derived.
• derived from supplementary of 7-(29,14,47520) (# 15202)
• residual design of supplementary of 7-(29,13,20790) (# 17796)

# 15201: 6-(27,12,39144)

• clan: 13-(32,16,699), 2 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 7-(28,13,15120) (# 15198)
• Tran van Trung construction (left) for 6-(26,12,27960) (# 17771) : der= 6-(26,11,11184) and res= 6-(26,12,27960) - the given design is the residual.
• supplementary design of 7-(27,12,4320) (# 17775) with respect to smaller t
• residual design of supplementary of 7-(28,12,5670) (# 17788)

# 15202: 7-(29,14,47520)

• clan: 13-(32,16,270), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 7-(28,13,15120) (# 15198) : der= 7-(28,13,15120) and res= 7-(28,14,32400) - the given design is the derived.

# 15203: 6-(28,12,20790)

• clan: 13-(32,16,270), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,15120) (# 15199) : der= 6-(27,11,5670) and res= 6-(27,12,15120) - the given design is the residual.
• design 7-(28,12,5670) (# 17788) with respect to smaller t
• derived from 7-(29,13,20790) (# 17796)

# 15204: 6-(28,12,53823)

• clan: 13-(32,16,699), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,39144) (# 15201) : der= 6-(27,11,14679) and res= 6-(27,12,39144) - the given design is the residual.
• supplementary design of 7-(28,12,5670) (# 17788) with respect to smaller t
• derived from supplementary of 7-(29,13,20790) (# 17796)

# 15205: 6-(29,13,68310)

• clan: 13-(32,16,270), 4 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(28,12,20790) (# 15203) : der= 6-(28,12,20790) and res= 6-(28,13,47520) - the given design is the derived.
• design 7-(29,13,20790) (# 17796) with respect to smaller t
• derived from 7-(30,14,68310) (# 17801)

# 15206: 6-(29,13,176847)

• clan: 13-(32,16,699), 4 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(28,12,53823) (# 15204) : der= 6-(28,12,53823) and res= 6-(28,13,123024) - the given design is the derived.
• supplementary design of 7-(29,13,20790) (# 17796) with respect to smaller t
• derived from supplementary of 7-(30,14,68310) (# 17801)

# 15207: 6-(30,14,204930)

• clan: 13-(32,16,270), 5 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(29,13,68310) (# 15205) : der= 6-(29,13,68310) and res= 6-(29,14,136620) - the given design is the derived.
• design 7-(30,14,68310) (# 17801) with respect to smaller t
• derived from 7-(31,15,204930) (# 17804)

# 15208: 6-(30,14,530541)

• clan: 13-(32,16,699), 5 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(29,13,176847) (# 15206) : der= 6-(29,13,176847) and res= 6-(29,14,353694) - the given design is the derived.
• supplementary design of 7-(30,14,68310) (# 17801) with respect to smaller t
• derived from supplementary of 7-(31,15,204930) (# 17804)

# 15209: 6-(31,15,569250)

• clan: 13-(32,16,270), 6 times reduced t, 1 times derived
• Tran van Trung construction (right) for 6-(30,14,204930) (# 15207) : der= 6-(30,14,204930) and res= 6-(30,15,364320) - the given design is the derived.
• derived from 7-(32,16,569250) (# 15212)
• derived from supplementary of 7-(32,16,1473725) (# 15214)
• design 7-(31,15,204930) (# 17804) with respect to smaller t

# 15210: 6-(31,15,1473725)

• clan: 13-(32,16,699), 6 times reduced t, 1 times derived
• Tran van Trung construction (right) for 6-(30,14,530541) (# 15208) : der= 6-(30,14,530541) and res= 6-(30,15,943184) - the given design is the derived.
• derived from supplementary of 7-(32,16,569250) (# 15212)
• derived from 7-(32,16,1473725) (# 15214)
• supplementary design of 7-(31,15,204930) (# 17804) with respect to smaller t

# 15211: 6-(32,16,1480050)

• clan: 13-(32,16,270), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,569250) (# 15209)
• design 7-(32,16,569250) (# 15212) with respect to smaller t
• supplementary design of 7-(32,16,1473725) (# 15214) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,910800) (# 15217) : der= 6-(31,15,569250) and res= 6-(31,16,910800) - the given design is the residual.

# 15212: 7-(32,16,569250)

• clan: 13-(32,16,270), 6 times reduced t
• Alltop construction for design 6-(31,15,569250) (# 15209)
• Tran van Trung construction with complementary design for 7-(31,15,204930) (# 17804)

# 15213: 6-(32,16,3831685)

• clan: 13-(32,16,699), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,1473725) (# 15210)
• supplementary design of 7-(32,16,569250) (# 15212) with respect to smaller t
• design 7-(32,16,1473725) (# 15214) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,2357960) (# 15218) : der= 6-(31,15,1473725) and res= 6-(31,16,2357960) - the given design is the residual.

# 15214: 7-(32,16,1473725)

• clan: 13-(32,16,699), 6 times reduced t
• Alltop construction for design 6-(31,15,1473725) (# 15210)

# 15215: 5-(31,16,2152800)

• clan: 13-(32,16,270), 7 times reduced t, 1 times residual
• residual design of 6-(32,16,1480050) (# 15211)
• residual design of supplementary of 6-(32,16,3831685) (# 15213)
• design 6-(31,16,910800) (# 15217) with respect to smaller t
• supplementary design of 6-(31,16,2357960) (# 15218) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,1242000) (# 15219) : der= 5-(30,15,910800) and res= 5-(30,16,1242000) - the given design is the residual.

# 15216: 5-(31,16,5573360)

• clan: 13-(32,16,699), 7 times reduced t, 1 times residual
• residual design of supplementary of 6-(32,16,1480050) (# 15211)
• residual design of 6-(32,16,3831685) (# 15213)
• supplementary design of 6-(31,16,910800) (# 15217) with respect to smaller t
• design 6-(31,16,2357960) (# 15218) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,3215400) (# 15220) : der= 5-(30,15,2357960) and res= 5-(30,16,3215400) - the given design is the residual.

# 15217: 6-(31,16,910800)

• clan: 13-(32,16,270), 6 times reduced t, 1 times residual
• residual design of 7-(32,16,569250) (# 15212)
• residual design of supplementary of 7-(32,16,1473725) (# 15214)

# 15218: 6-(31,16,2357960)

• clan: 13-(32,16,699), 6 times reduced t, 1 times residual
• residual design of supplementary of 7-(32,16,569250) (# 15212)
• residual design of 7-(32,16,1473725) (# 15214)

# 15219: 5-(30,16,1242000)

• clan: 13-(32,16,270), 6 times reduced t, 2 times residual
• residual design of 6-(31,16,910800) (# 15217)
• residual design of supplementary of 6-(31,16,2357960) (# 15218)

# 15220: 5-(30,16,3215400)

• clan: 13-(32,16,699), 6 times reduced t, 2 times residual
• residual design of supplementary of 6-(31,16,910800) (# 15217)
• residual design of 6-(31,16,2357960) (# 15218)

# 15221: 7-(28,13,17640)

• clan: 13-(32,16,315), 2 times reduced t, 3 times derived, 1 times residual
• $Sp(6,2)$ 2 isomorphism types

# 15222: 6-(28,13,55440)

• clan: 13-(32,16,315), 3 times reduced t, 3 times derived, 1 times residual
• design 7-(28,13,17640) (# 15221) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,12,17640) (# 15223) : der= 6-(27,12,17640) and res= 6-(27,13,37800) - the given design is the derived.
• Tran van Trung construction (left) for 6-(27,13,37800) (# 15224) : der= 6-(27,12,17640) and res= 6-(27,13,37800) - the given design is the residual.
• derived from 7-(29,14,55440) (# 15254)

# 15223: 6-(27,12,17640)

• clan: 13-(32,16,315), 2 times reduced t, 4 times derived, 1 times residual
• derived from 7-(28,13,17640) (# 15221)

# 15224: 6-(27,13,37800)

• clan: 13-(32,16,315), 2 times reduced t, 3 times derived, 2 times residual
• residual design of 7-(28,13,17640) (# 15221)
• derived from 7-(28,14,37800) (# 15239)
• derived from supplementary of 7-(28,14,78480) (# 15243)

# 15225: 6-(28,13,115104)

• clan: 13-(32,16,654), 3 times reduced t, 3 times derived, 1 times residual
• supplementary design of 7-(28,13,17640) (# 15221) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,12,36624) (# 15226) : der= 6-(27,12,36624) and res= 6-(27,13,78480) - the given design is the derived.
• Tran van Trung construction (left) for 6-(27,13,78480) (# 15227) : der= 6-(27,12,36624) and res= 6-(27,13,78480) - the given design is the residual.
• derived from supplementary of 7-(29,14,55440) (# 15254)

# 15226: 6-(27,12,36624)

• clan: 13-(32,16,654), 2 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 7-(28,13,17640) (# 15221)

# 15227: 6-(27,13,78480)

• clan: 13-(32,16,654), 2 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 7-(28,13,17640) (# 15221)
• derived from supplementary of 7-(28,14,37800) (# 15239)
• derived from 7-(28,14,78480) (# 15243)

# 15228: 5-(28,13,159390)

• clan: 13-(32,16,315), 4 times reduced t, 3 times derived, 1 times residual
• design 6-(28,13,55440) (# 15222) with respect to smaller t
• supplementary design of 6-(28,13,115104) (# 15225) with respect to smaller t
• Tran van Trung construction (right) for 5-(27,12,55440) (# 15229) : der= 5-(27,12,55440) and res= 5-(27,13,103950) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,103950) (# 15230) : der= 5-(27,12,55440) and res= 5-(27,13,103950) - the given design is the residual.
• residual design of 6-(29,13,79695) (# 15248)
• derived from 6-(29,14,159390) (# 15251)
• residual design of supplementary of 6-(29,13,165462) (# 15255)
• derived from supplementary of 6-(29,14,330924) (# 15256)

# 15229: 5-(27,12,55440)

• clan: 13-(32,16,315), 3 times reduced t, 4 times derived, 1 times residual
• derived from 6-(28,13,55440) (# 15222)
• design 6-(27,12,17640) (# 15223) with respect to smaller t
• derived from supplementary of 6-(28,13,115104) (# 15225)
• supplementary design of 6-(27,12,36624) (# 15226) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,37800) (# 15234) : der= 5-(26,11,17640) and res= 5-(26,12,37800) - the given design is the residual.
• residual design of 6-(28,12,24255) (# 15236)
• residual design of supplementary of 6-(28,12,50358) (# 15241)

# 15230: 5-(27,13,103950)

• clan: 13-(32,16,315), 3 times reduced t, 3 times derived, 2 times residual
• residual design of 6-(28,13,55440) (# 15222)
• design 6-(27,13,37800) (# 15224) with respect to smaller t
• residual design of supplementary of 6-(28,13,115104) (# 15225)
• supplementary design of 6-(27,13,78480) (# 15227) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,12,37800) (# 15234) : der= 5-(26,12,37800) and res= 5-(26,13,66150) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,13,66150) (# 15237) : der= 5-(26,12,37800) and res= 5-(26,13,66150) - the given design is the residual.
• derived from 6-(28,14,103950) (# 15238)
• derived from supplementary of 6-(28,14,215820) (# 15242)

# 15231: 5-(28,13,330924)

• clan: 13-(32,16,654), 4 times reduced t, 3 times derived, 1 times residual
• supplementary design of 6-(28,13,55440) (# 15222) with respect to smaller t
• design 6-(28,13,115104) (# 15225) with respect to smaller t
• Tran van Trung construction (right) for 5-(27,12,115104) (# 15232) : der= 5-(27,12,115104) and res= 5-(27,13,215820) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,215820) (# 15233) : der= 5-(27,12,115104) and res= 5-(27,13,215820) - the given design is the residual.
• residual design of supplementary of 6-(29,13,79695) (# 15248)
• derived from supplementary of 6-(29,14,159390) (# 15251)
• residual design of 6-(29,13,165462) (# 15255)
• derived from 6-(29,14,330924) (# 15256)

# 15232: 5-(27,12,115104)

• clan: 13-(32,16,654), 3 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 6-(28,13,55440) (# 15222)
• supplementary design of 6-(27,12,17640) (# 15223) with respect to smaller t
• derived from 6-(28,13,115104) (# 15225)
• design 6-(27,12,36624) (# 15226) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,12,78480) (# 15235) : der= 5-(26,11,36624) and res= 5-(26,12,78480) - the given design is the residual.
• residual design of supplementary of 6-(28,12,24255) (# 15236)
• residual design of 6-(28,12,50358) (# 15241)

# 15233: 5-(27,13,215820)

• clan: 13-(32,16,654), 3 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 6-(28,13,55440) (# 15222)
• supplementary design of 6-(27,13,37800) (# 15224) with respect to smaller t
• residual design of 6-(28,13,115104) (# 15225)
• design 6-(27,13,78480) (# 15227) with respect to smaller t
• Tran van Trung construction (right) for 5-(26,12,78480) (# 15235) : der= 5-(26,12,78480) and res= 5-(26,13,137340) - the given design is the derived.
• derived from supplementary of 6-(28,14,103950) (# 15238)
• Tran van Trung construction (left) for 5-(26,13,137340) (# 15240) : der= 5-(26,12,78480) and res= 5-(26,13,137340) - the given design is the residual.
• derived from 6-(28,14,215820) (# 15242)

# 15234: 5-(26,12,37800)

• clan: 13-(32,16,315), 2 times reduced t, 4 times derived, 2 times residual
• residual design of 6-(27,12,17640) (# 15223)
• derived from 6-(27,13,37800) (# 15224)
• residual design of supplementary of 6-(27,12,36624) (# 15226)
• derived from supplementary of 6-(27,13,78480) (# 15227)

# 15235: 5-(26,12,78480)

• clan: 13-(32,16,654), 2 times reduced t, 4 times derived, 2 times residual
• residual design of supplementary of 6-(27,12,17640) (# 15223)
• derived from supplementary of 6-(27,13,37800) (# 15224)
• residual design of 6-(27,12,36624) (# 15226)
• derived from 6-(27,13,78480) (# 15227)

# 15236: 6-(28,12,24255)

• clan: 13-(32,16,315), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,17640) (# 15223) : der= 6-(27,11,6615) and res= 6-(27,12,17640) - the given design is the residual.

# 15237: 5-(26,13,66150)

• clan: 13-(32,16,315), 2 times reduced t, 3 times derived, 3 times residual
• residual design of 6-(27,13,37800) (# 15224)
• residual design of supplementary of 6-(27,13,78480) (# 15227)
• derived from 6-(27,14,66150) (# 15252)
• derived from supplementary of 6-(27,14,137340) (# 15253)

# 15238: 6-(28,14,103950)

• clan: 13-(32,16,315), 3 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,37800) (# 15224)
• design 7-(28,14,37800) (# 15239) with respect to smaller t
• supplementary design of 7-(28,14,78480) (# 15243) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,66150) (# 15252) : der= 6-(27,13,37800) and res= 6-(27,14,66150) - the given design is the residual.
• residual design of 7-(29,14,55440) (# 15254)

# 15239: 7-(28,14,37800)

• clan: 13-(32,16,315), 2 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,37800) (# 15224)
• $Sp(6,2)$

# 15240: 5-(26,13,137340)

• clan: 13-(32,16,654), 2 times reduced t, 3 times derived, 3 times residual
• residual design of supplementary of 6-(27,13,37800) (# 15224)
• residual design of 6-(27,13,78480) (# 15227)
• derived from supplementary of 6-(27,14,66150) (# 15252)
• derived from 6-(27,14,137340) (# 15253)

# 15241: 6-(28,12,50358)

• clan: 13-(32,16,654), 3 times reduced t, 4 times derived
• Tran van Trung construction (left) for 6-(27,12,36624) (# 15226) : der= 6-(27,11,13734) and res= 6-(27,12,36624) - the given design is the residual.

# 15242: 6-(28,14,215820)

• clan: 13-(32,16,654), 3 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(27,13,78480) (# 15227)
• supplementary design of 7-(28,14,37800) (# 15239) with respect to smaller t
• design 7-(28,14,78480) (# 15243) with respect to smaller t
• Tran van Trung construction (left) for 6-(27,14,137340) (# 15253) : der= 6-(27,13,78480) and res= 6-(27,14,137340) - the given design is the residual.
• residual design of supplementary of 7-(29,14,55440) (# 15254)

# 15243: 7-(28,14,78480)

• clan: 13-(32,16,654), 2 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(27,13,78480) (# 15227)

# 15244: 5-(28,12,79695)

• clan: 13-(32,16,315), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,55440) (# 15229) : der= 5-(27,11,24255) and res= 5-(27,12,55440) - the given design is the residual.
• design 6-(28,12,24255) (# 15236) with respect to smaller t
• supplementary design of 6-(28,12,50358) (# 15241) with respect to smaller t
• derived from 6-(29,13,79695) (# 15248)
• derived from supplementary of 6-(29,13,165462) (# 15255)

# 15245: 5-(28,14,265650)

• clan: 13-(32,16,315), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,103950) (# 15230)
• design 6-(28,14,103950) (# 15238) with respect to smaller t
• supplementary design of 6-(28,14,215820) (# 15242) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,161700) (# 15249) : der= 5-(27,13,103950) and res= 5-(27,14,161700) - the given design is the residual.
• residual design of 6-(29,14,159390) (# 15251)
• residual design of supplementary of 6-(29,14,330924) (# 15256)
• derived from 6-(29,15,265650) (# 15276)
• derived from supplementary of 6-(29,15,551540) (# 15277)

# 15246: 5-(28,12,165462)

• clan: 13-(32,16,654), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(27,12,115104) (# 15232) : der= 5-(27,11,50358) and res= 5-(27,12,115104) - the given design is the residual.
• supplementary design of 6-(28,12,24255) (# 15236) with respect to smaller t
• design 6-(28,12,50358) (# 15241) with respect to smaller t
• derived from supplementary of 6-(29,13,79695) (# 15248)
• derived from 6-(29,13,165462) (# 15255)

# 15247: 5-(28,14,551540)

• clan: 13-(32,16,654), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,215820) (# 15233)
• supplementary design of 6-(28,14,103950) (# 15238) with respect to smaller t
• design 6-(28,14,215820) (# 15242) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,335720) (# 15250) : der= 5-(27,13,215820) and res= 5-(27,14,335720) - the given design is the residual.
• residual design of supplementary of 6-(29,14,159390) (# 15251)
• residual design of 6-(29,14,330924) (# 15256)
• derived from supplementary of 6-(29,15,265650) (# 15276)
• derived from 6-(29,15,551540) (# 15277)

# 15248: 6-(29,13,79695)

• clan: 13-(32,16,315), 4 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(28,12,24255) (# 15236) : der= 6-(28,12,24255) and res= 6-(28,13,55440) - the given design is the derived.

# 15249: 5-(27,14,161700)

• clan: 13-(32,16,315), 3 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(28,14,103950) (# 15238)
• residual design of supplementary of 6-(28,14,215820) (# 15242)
• design 6-(27,14,66150) (# 15252) with respect to smaller t
• supplementary design of 6-(27,14,137340) (# 15253) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,95550) (# 15264) : der= 5-(26,13,66150) and res= 5-(26,14,95550) - the given design is the residual.

# 15250: 5-(27,14,335720)

• clan: 13-(32,16,654), 3 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(28,14,103950) (# 15238)
• residual design of 6-(28,14,215820) (# 15242)
• supplementary design of 6-(27,14,66150) (# 15252) with respect to smaller t
• design 6-(27,14,137340) (# 15253) with respect to smaller t
• Tran van Trung construction (left) for 5-(26,14,198380) (# 15265) : der= 5-(26,13,137340) and res= 5-(26,14,198380) - the given design is the residual.

# 15251: 6-(29,14,159390)

• clan: 13-(32,16,315), 4 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(28,14,103950) (# 15238) : der= 6-(28,13,55440) and res= 6-(28,14,103950) - the given design is the residual.
• design 7-(29,14,55440) (# 15254) with respect to smaller t
• derived from 7-(30,15,159390) (# 15263)
• derived from supplementary of 7-(30,15,330924) (# 15268)

# 15252: 6-(27,14,66150)

• clan: 13-(32,16,315), 2 times reduced t, 2 times derived, 3 times residual
• residual design of 7-(28,14,37800) (# 15239)
• residual design of supplementary of 7-(28,14,78480) (# 15243)

# 15253: 6-(27,14,137340)

• clan: 13-(32,16,654), 2 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 7-(28,14,37800) (# 15239)
• residual design of 7-(28,14,78480) (# 15243)

# 15254: 7-(29,14,55440)

• clan: 13-(32,16,315), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 7-(28,14,37800) (# 15239) : der= 7-(28,13,17640) and res= 7-(28,14,37800) - the given design is the residual.

# 15255: 6-(29,13,165462)

• clan: 13-(32,16,654), 4 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(28,12,50358) (# 15241) : der= 6-(28,12,50358) and res= 6-(28,13,115104) - the given design is the derived.

# 15256: 6-(29,14,330924)

• clan: 13-(32,16,654), 4 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(28,14,215820) (# 15242) : der= 6-(28,13,115104) and res= 6-(28,14,215820) - the given design is the residual.
• supplementary design of 7-(29,14,55440) (# 15254) with respect to smaller t
• derived from supplementary of 7-(30,15,159390) (# 15263)
• derived from 7-(30,15,330924) (# 15268)

# 15257: 5-(29,13,239085)

• clan: 13-(32,16,315), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,79695) (# 15244) : der= 5-(28,12,79695) and res= 5-(28,13,159390) - the given design is the derived.
• design 6-(29,13,79695) (# 15248) with respect to smaller t
• supplementary design of 6-(29,13,165462) (# 15255) with respect to smaller t
• derived from 6-(30,14,239085) (# 15261)
• derived from supplementary of 6-(30,14,496386) (# 15266)

# 15258: 5-(29,14,425040)

• clan: 13-(32,16,315), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,265650) (# 15245) : der= 5-(28,13,159390) and res= 5-(28,14,265650) - the given design is the residual.
• design 6-(29,14,159390) (# 15251) with respect to smaller t
• supplementary design of 6-(29,14,330924) (# 15256) with respect to smaller t
• residual design of 6-(30,14,239085) (# 15261)
• derived from 6-(30,15,425040) (# 15262)
• residual design of supplementary of 6-(30,14,496386) (# 15266)
• derived from supplementary of 6-(30,15,882464) (# 15267)

# 15259: 5-(29,13,496386)

• clan: 13-(32,16,654), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,165462) (# 15246) : der= 5-(28,12,165462) and res= 5-(28,13,330924) - the given design is the derived.
• supplementary design of 6-(29,13,79695) (# 15248) with respect to smaller t
• design 6-(29,13,165462) (# 15255) with respect to smaller t
• derived from supplementary of 6-(30,14,239085) (# 15261)
• derived from 6-(30,14,496386) (# 15266)

# 15260: 5-(29,14,882464)

• clan: 13-(32,16,654), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(28,14,551540) (# 15247) : der= 5-(28,13,330924) and res= 5-(28,14,551540) - the given design is the residual.
• supplementary design of 6-(29,14,159390) (# 15251) with respect to smaller t
• design 6-(29,14,330924) (# 15256) with respect to smaller t
• residual design of supplementary of 6-(30,14,239085) (# 15261)
• derived from supplementary of 6-(30,15,425040) (# 15262)
• residual design of 6-(30,14,496386) (# 15266)
• derived from 6-(30,15,882464) (# 15267)

# 15261: 6-(30,14,239085)

• clan: 13-(32,16,315), 5 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(29,13,79695) (# 15248) : der= 6-(29,13,79695) and res= 6-(29,14,159390) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,14,159390) (# 15251) : der= 6-(29,13,79695) and res= 6-(29,14,159390) - the given design is the residual.

# 15262: 6-(30,15,425040)

• clan: 13-(32,16,315), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(29,14,159390) (# 15251)
• design 7-(30,15,159390) (# 15263) with respect to smaller t
• supplementary design of 7-(30,15,330924) (# 15268) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,15,265650) (# 15276) : der= 6-(29,14,159390) and res= 6-(29,15,265650) - the given design is the residual.

# 15263: 7-(30,15,159390)

• clan: 13-(32,16,315), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(29,14,159390) (# 15251)
• Tran van Trung construction with complementary design for 7-(29,14,55440) (# 15254)

# 15264: 5-(26,14,95550)

• clan: 13-(32,16,315), 2 times reduced t, 2 times derived, 4 times residual
• residual design of 6-(27,14,66150) (# 15252)
• residual design of supplementary of 6-(27,14,137340) (# 15253)

# 15265: 5-(26,14,198380)

• clan: 13-(32,16,654), 2 times reduced t, 2 times derived, 4 times residual
• residual design of supplementary of 6-(27,14,66150) (# 15252)
• residual design of 6-(27,14,137340) (# 15253)

# 15266: 6-(30,14,496386)

• clan: 13-(32,16,654), 5 times reduced t, 2 times derived
• Tran van Trung construction (right) for 6-(29,13,165462) (# 15255) : der= 6-(29,13,165462) and res= 6-(29,14,330924) - the given design is the derived.
• Tran van Trung construction (left) for 6-(29,14,330924) (# 15256) : der= 6-(29,13,165462) and res= 6-(29,14,330924) - the given design is the residual.

# 15267: 6-(30,15,882464)

• clan: 13-(32,16,654), 5 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 6-(29,14,330924) (# 15256)
• supplementary design of 7-(30,15,159390) (# 15263) with respect to smaller t
• design 7-(30,15,330924) (# 15268) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,15,551540) (# 15277) : der= 6-(29,14,330924) and res= 6-(29,15,551540) - the given design is the residual.

# 15268: 7-(30,15,330924)

• clan: 13-(32,16,654), 4 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 6-(29,14,330924) (# 15256)

# 15269: 5-(30,14,664125)

• clan: 13-(32,16,315), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,239085) (# 15257) : der= 5-(29,13,239085) and res= 5-(29,14,425040) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,425040) (# 15258) : der= 5-(29,13,239085) and res= 5-(29,14,425040) - the given design is the residual.
• design 6-(30,14,239085) (# 15261) with respect to smaller t
• supplementary design of 6-(30,14,496386) (# 15266) with respect to smaller t
• derived from 6-(31,15,664125) (# 15273)
• derived from supplementary of 6-(31,15,1378850) (# 15278)

# 15270: 5-(30,15,1062600)

• clan: 13-(32,16,315), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,425040) (# 15258)
• design 6-(30,15,425040) (# 15262) with respect to smaller t
• supplementary design of 6-(30,15,882464) (# 15267) with respect to smaller t
• residual design of 6-(31,15,664125) (# 15273)
• Tran van Trung construction (left) for 5-(29,15,637560) (# 15274) : der= 5-(29,14,425040) and res= 5-(29,15,637560) - the given design is the residual.
• residual design of supplementary of 6-(31,15,1378850) (# 15278)
• derived from 6-(31,16,1062600) (# 15291)
• derived from supplementary of 6-(31,16,2206160) (# 15292)

# 15271: 5-(30,14,1378850)

• clan: 13-(32,16,654), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,496386) (# 15259) : der= 5-(29,13,496386) and res= 5-(29,14,882464) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,882464) (# 15260) : der= 5-(29,13,496386) and res= 5-(29,14,882464) - the given design is the residual.
• supplementary design of 6-(30,14,239085) (# 15261) with respect to smaller t
• design 6-(30,14,496386) (# 15266) with respect to smaller t
• derived from supplementary of 6-(31,15,664125) (# 15273)
• derived from 6-(31,15,1378850) (# 15278)

# 15272: 5-(30,15,2206160)

• clan: 13-(32,16,654), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,882464) (# 15260)
• supplementary design of 6-(30,15,425040) (# 15262) with respect to smaller t
• design 6-(30,15,882464) (# 15267) with respect to smaller t
• residual design of supplementary of 6-(31,15,664125) (# 15273)
• Tran van Trung construction (left) for 5-(29,15,1323696) (# 15275) : der= 5-(29,14,882464) and res= 5-(29,15,1323696) - the given design is the residual.
• residual design of 6-(31,15,1378850) (# 15278)
• derived from supplementary of 6-(31,16,1062600) (# 15291)
• derived from 6-(31,16,2206160) (# 15292)

# 15273: 6-(31,15,664125)

• clan: 13-(32,16,315), 6 times reduced t, 1 times derived
• Tran van Trung construction (right) for 6-(30,14,239085) (# 15261) : der= 6-(30,14,239085) and res= 6-(30,15,425040) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,15,425040) (# 15262) : der= 6-(30,14,239085) and res= 6-(30,15,425040) - the given design is the residual.
• derived from 7-(32,16,664125) (# 15282)
• derived from supplementary of 7-(32,16,1378850) (# 15286)

# 15274: 5-(29,15,637560)

• clan: 13-(32,16,315), 5 times reduced t, 1 times derived, 2 times residual
• residual design of 6-(30,15,425040) (# 15262)
• residual design of supplementary of 6-(30,15,882464) (# 15267)
• design 6-(29,15,265650) (# 15276) with respect to smaller t
• supplementary design of 6-(29,15,551540) (# 15277) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,371910) (# 15283) : der= 5-(28,14,265650) and res= 5-(28,15,371910) - the given design is the residual.

# 15275: 5-(29,15,1323696)

• clan: 13-(32,16,654), 5 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 6-(30,15,425040) (# 15262)
• residual design of 6-(30,15,882464) (# 15267)
• supplementary design of 6-(29,15,265650) (# 15276) with respect to smaller t
• design 6-(29,15,551540) (# 15277) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,772156) (# 15284) : der= 5-(28,14,551540) and res= 5-(28,15,772156) - the given design is the residual.

# 15276: 6-(29,15,265650)

• clan: 13-(32,16,315), 4 times reduced t, 1 times derived, 2 times residual
• residual design of 7-(30,15,159390) (# 15263)
• residual design of supplementary of 7-(30,15,330924) (# 15268)

# 15277: 6-(29,15,551540)

• clan: 13-(32,16,654), 4 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 7-(30,15,159390) (# 15263)
• residual design of 7-(30,15,330924) (# 15268)

# 15278: 6-(31,15,1378850)

• clan: 13-(32,16,654), 6 times reduced t, 1 times derived
• Tran van Trung construction (right) for 6-(30,14,496386) (# 15266) : der= 6-(30,14,496386) and res= 6-(30,15,882464) - the given design is the derived.
• Tran van Trung construction (left) for 6-(30,15,882464) (# 15267) : der= 6-(30,14,496386) and res= 6-(30,15,882464) - the given design is the residual.
• derived from supplementary of 7-(32,16,664125) (# 15282)
• derived from 7-(32,16,1378850) (# 15286)

# 15279: 5-(31,15,1726725)

• clan: 13-(32,16,315), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,664125) (# 15269) : der= 5-(30,14,664125) and res= 5-(30,15,1062600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,1062600) (# 15270) : der= 5-(30,14,664125) and res= 5-(30,15,1062600) - the given design is the residual.
• design 6-(31,15,664125) (# 15273) with respect to smaller t
• supplementary design of 6-(31,15,1378850) (# 15278) with respect to smaller t
• derived from 6-(32,16,1726725) (# 15281)
• derived from supplementary of 6-(32,16,3585010) (# 15285)

# 15280: 5-(31,15,3585010)

• clan: 13-(32,16,654), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,1378850) (# 15271) : der= 5-(30,14,1378850) and res= 5-(30,15,2206160) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,2206160) (# 15272) : der= 5-(30,14,1378850) and res= 5-(30,15,2206160) - the given design is the residual.
• supplementary design of 6-(31,15,664125) (# 15273) with respect to smaller t
• design 6-(31,15,1378850) (# 15278) with respect to smaller t
• derived from supplementary of 6-(32,16,1726725) (# 15281)
• derived from 6-(32,16,3585010) (# 15285)

# 15281: 6-(32,16,1726725)

• clan: 13-(32,16,315), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,664125) (# 15273)
• design 7-(32,16,664125) (# 15282) with respect to smaller t
• supplementary design of 7-(32,16,1378850) (# 15286) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,1062600) (# 15291) : der= 6-(31,15,664125) and res= 6-(31,16,1062600) - the given design is the residual.

# 15282: 7-(32,16,664125)

• clan: 13-(32,16,315), 6 times reduced t
• Alltop construction for design 6-(31,15,664125) (# 15273)

# 15283: 5-(28,15,371910)

• clan: 13-(32,16,315), 4 times reduced t, 1 times derived, 3 times residual
• residual design of 6-(29,15,265650) (# 15276)
• residual design of supplementary of 6-(29,15,551540) (# 15277)

# 15284: 5-(28,15,772156)

• clan: 13-(32,16,654), 4 times reduced t, 1 times derived, 3 times residual
• residual design of supplementary of 6-(29,15,265650) (# 15276)
• residual design of 6-(29,15,551540) (# 15277)

# 15285: 6-(32,16,3585010)

• clan: 13-(32,16,654), 7 times reduced t
• Tran van Trung construction with complementary design for 6-(31,15,1378850) (# 15278)
• supplementary design of 7-(32,16,664125) (# 15282) with respect to smaller t
• design 7-(32,16,1378850) (# 15286) with respect to smaller t
• Tran van Trung construction (left) for 6-(31,16,2206160) (# 15292) : der= 6-(31,15,1378850) and res= 6-(31,16,2206160) - the given design is the residual.

# 15286: 7-(32,16,1378850)

• clan: 13-(32,16,654), 6 times reduced t
• Alltop construction for design 6-(31,15,1378850) (# 15278)

# 15287: 5-(32,16,4238325)

• clan: 13-(32,16,315), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,1726725) (# 15279)
• design 6-(32,16,1726725) (# 15281) with respect to smaller t
• supplementary design of 6-(32,16,3585010) (# 15285) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,2511600) (# 15289) : der= 5-(31,15,1726725) and res= 5-(31,16,2511600) - the given design is the residual.

# 15288: 5-(32,16,8799570)

• clan: 13-(32,16,654), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,3585010) (# 15280)
• supplementary design of 6-(32,16,1726725) (# 15281) with respect to smaller t
• design 6-(32,16,3585010) (# 15285) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,16,5214560) (# 15290) : der= 5-(31,15,3585010) and res= 5-(31,16,5214560) - the given design is the residual.

# 15289: 5-(31,16,2511600)

• clan: 13-(32,16,315), 7 times reduced t, 1 times residual
• residual design of 6-(32,16,1726725) (# 15281)
• residual design of supplementary of 6-(32,16,3585010) (# 15285)
• design 6-(31,16,1062600) (# 15291) with respect to smaller t
• supplementary design of 6-(31,16,2206160) (# 15292) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,1449000) (# 15293) : der= 5-(30,15,1062600) and res= 5-(30,16,1449000) - the given design is the residual.

# 15290: 5-(31,16,5214560)

• clan: 13-(32,16,654), 7 times reduced t, 1 times residual
• residual design of supplementary of 6-(32,16,1726725) (# 15281)
• residual design of 6-(32,16,3585010) (# 15285)
• supplementary design of 6-(31,16,1062600) (# 15291) with respect to smaller t
• design 6-(31,16,2206160) (# 15292) with respect to smaller t
• Tran van Trung construction (left) for 5-(30,16,3008400) (# 15294) : der= 5-(30,15,2206160) and res= 5-(30,16,3008400) - the given design is the residual.

# 15291: 6-(31,16,1062600)

• clan: 13-(32,16,315), 6 times reduced t, 1 times residual
• residual design of 7-(32,16,664125) (# 15282)
• residual design of supplementary of 7-(32,16,1378850) (# 15286)

# 15292: 6-(31,16,2206160)

• clan: 13-(32,16,654), 6 times reduced t, 1 times residual
• residual design of supplementary of 7-(32,16,664125) (# 15282)
• residual design of 7-(32,16,1378850) (# 15286)

# 15293: 5-(30,16,1449000)

• clan: 13-(32,16,315), 6 times reduced t, 2 times residual
• residual design of 6-(31,16,1062600) (# 15291)
• residual design of supplementary of 6-(31,16,2206160) (# 15292)

# 15294: 5-(30,16,3008400)

• clan: 13-(32,16,654), 6 times reduced t, 2 times residual
• residual design of supplementary of 6-(31,16,1062600) (# 15291)
• residual design of 6-(31,16,2206160) (# 15292)

# 15295: 7-(28,13,18984)

• clan: 13-(32,16,339), 2 times reduced t, 3 times derived, 1 times residual
• $Sp(6,2)$ 2 isomorphism types

# 15296: 6-(27,12,18984)

• clan: 13-(32,16,339), 2 times reduced t, 4 times derived, 1 times residual
• derived from 7-(28,13,18984) (# 15295)

# 15297: 6-(27,13,40680)

• clan: 13-(32,16,339), 2 times reduced t, 3 times derived, 2 times residual
• residual design of 7-(28,13,18984) (# 15295)
• derived from 7-(28,14,40680) (# 15304)
• derived from supplementary of 7-(28,14,75600) (# 15307)

# 15298: 6-(28,13,110880)

• clan: 13-(32,16,630), 3 times reduced t, 3 times derived, 1 times residual
• supplementary design of 7-(28,13,18984) (# 15295) with respect to smaller t
• Tran van Trung construction (right) for 6-(27,12,35280) (# 15299) : der= 6-(27,12,35280) and res= 6-(27,13,75600) - the given design is the derived.
• Tran van Trung construction (left) for 6-(27,13,75600) (# 15300) : der= 6-(27,12,35280) and res= 6-(27,13,75600) - the given design is the residual.
• derived from supplementary of 7-(29,14,59664) (# 15314)

# 15299: 6-(27,12,35280)

• clan: 13-(32,16,630), 2 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 7-(28,13,18984) (# 15295)

created: Fri Oct 23 11:13:58 CEST 2009