t designs with small t, id ge 10300

# 10300: 6-(25,12,12936)

clan: 13-(32,16,462), 4 times derived, 3 times residual
PSL(2,23)+ (many isom. types)
derived from 7-(26,13,12936) (# 10304)
derived from supplementary of 7-(26,13,14196) (# 10321)

# 10301: 5-(25,12,36960)

clan: 13-(32,16,462), 1 times reduced t, 4 times derived, 3 times residual
design 6-(25,12,12936) (# 10300) with respect to smaller t
Tran van Trung construction (right) for 5-(24,11,12936) (# 10302) : der= 5-(24,11,12936) and res= 5-(24,12,24024) - the given design is the derived.
derived from 6-(26,13,36960) (# 10303)
derived from supplementary of 6-(26,13,40560) (# 10314)
supplementary design of 6-(25,12,14196) (# 10315) with respect to smaller t

# 10302: 5-(24,11,12936)

clan: 13-(32,16,462), 5 times derived, 3 times residual
derived from 6-(25,12,12936) (# 10300)
derived from supplementary of 6-(25,12,14196) (# 10315)

# 10303: 6-(26,13,36960)

clan: 13-(32,16,462), 1 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 6-(25,12,12936) (# 10300)
design 7-(26,13,12936) (# 10304) with respect to smaller t
Tran van Trung construction (left) for 6-(25,13,24024) (# 10313) : der= 6-(25,12,12936) and res= 6-(25,13,24024) - the given design is the residual.
supplementary design of 7-(26,13,14196) (# 10321) with respect to smaller t

# 10304: 7-(26,13,12936)

clan: 13-(32,16,462), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,12936) (# 10300)

# 10305: 5-(25,12,40560)

clan: 13-(32,16,507), 1 times reduced t, 4 times derived, 3 times residual
supplementary design of 6-(25,12,12936) (# 10300) with respect to smaller t
derived from supplementary of 6-(26,13,36960) (# 10303)
Tran van Trung construction (right) for 5-(24,11,14196) (# 10306) : der= 5-(24,11,14196) and res= 5-(24,12,26364) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,12,26364) (# 10307) : der= 5-(24,11,14196) and res= 5-(24,12,26364) - the given design is the residual.
derived from 6-(26,13,40560) (# 10314)
design 6-(25,12,14196) (# 10315) with respect to smaller t

# 10306: 5-(24,11,14196)

clan: 13-(32,16,507), 5 times derived, 3 times residual
derived from supplementary of 6-(25,12,12936) (# 10300)
derived from 6-(25,12,14196) (# 10315)

# 10307: 5-(24,12,26364)

clan: 13-(32,16,507), 4 times derived, 4 times residual
residual design of supplementary of 6-(25,12,12936) (# 10300)
derived from supplementary of 6-(25,13,24024) (# 10313)
residual design of 6-(25,12,14196) (# 10315)
derived from 6-(25,13,26364) (# 10316)

# 10308: 5-(26,13,97020)

clan: 13-(32,16,462), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,36960) (# 10301)
design 6-(26,13,36960) (# 10303) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,60060) (# 10310) : der= 5-(25,12,36960) and res= 5-(25,13,60060) - the given design is the residual.
supplementary design of 6-(26,13,40560) (# 10314) with respect to smaller t
residual design of 6-(27,13,55440) (# 15813)
derived from 6-(27,14,97020) (# 15814)
residual design of supplementary of 6-(27,13,60840) (# 15816)
derived from supplementary of 6-(27,14,106470) (# 15817)

# 10309: 5-(25,11,18480)

clan: 13-(32,16,462), 1 times reduced t, 5 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,11,12936) (# 10302) : der= 5-(24,10,5544) and res= 5-(24,11,12936) - the given design is the residual.

# 10310: 5-(25,13,60060)

clan: 13-(32,16,462), 1 times reduced t, 3 times derived, 4 times residual
residual design of 6-(26,13,36960) (# 10303)
design 6-(25,13,24024) (# 10313) with respect to smaller t
residual design of supplementary of 6-(26,13,40560) (# 10314)
supplementary design of 6-(25,13,26364) (# 10316) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,36036) (# 10319) : der= 5-(24,12,24024) and res= 5-(24,13,36036) - the given design is the residual.

# 10311: 5-(26,13,106470)

clan: 13-(32,16,507), 2 times reduced t, 3 times derived, 3 times residual
supplementary design of 6-(26,13,36960) (# 10303) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,40560) (# 10305)
Tran van Trung construction (right) for 5-(25,12,40560) (# 10305) : der= 5-(25,12,40560) and res= 5-(25,13,65910) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,65910) (# 10312) : der= 5-(25,12,40560) and res= 5-(25,13,65910) - the given design is the residual.
design 6-(26,13,40560) (# 10314) with respect to smaller t
residual design of supplementary of 6-(27,13,55440) (# 15813)
derived from supplementary of 6-(27,14,97020) (# 15814)
residual design of 6-(27,13,60840) (# 15816)
derived from 6-(27,14,106470) (# 15817)

# 10312: 5-(25,13,65910)

clan: 13-(32,16,507), 1 times reduced t, 3 times derived, 4 times residual
residual design of supplementary of 6-(26,13,36960) (# 10303)
supplementary design of 6-(25,13,24024) (# 10313) with respect to smaller t
residual design of 6-(26,13,40560) (# 10314)
design 6-(25,13,26364) (# 10316) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,39546) (# 10320) : der= 5-(24,12,26364) and res= 5-(24,13,39546) - the given design is the residual.

# 10313: 6-(25,13,24024)

clan: 13-(32,16,462), 3 times derived, 4 times residual
residual design of 7-(26,13,12936) (# 10304)
residual design of supplementary of 7-(26,13,14196) (# 10321)

# 10314: 6-(26,13,40560)

clan: 13-(32,16,507), 1 times reduced t, 3 times derived, 3 times residual
supplementary design of 7-(26,13,12936) (# 10304) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,14196) (# 10315)
Tran van Trung construction (right) for 6-(25,12,14196) (# 10315) : der= 6-(25,12,14196) and res= 6-(25,13,26364) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,26364) (# 10316) : der= 6-(25,12,14196) and res= 6-(25,13,26364) - the given design is the residual.
design 7-(26,13,14196) (# 10321) with respect to smaller t

# 10315: 6-(25,12,14196)

clan: 13-(32,16,507), 4 times derived, 3 times residual
derived from supplementary of 7-(26,13,12936) (# 10304)
derived from 7-(26,13,14196) (# 10321)

# 10316: 6-(25,13,26364)

clan: 13-(32,16,507), 3 times derived, 4 times residual
residual design of supplementary of 7-(26,13,12936) (# 10304)
residual design of 7-(26,13,14196) (# 10321)

# 10317: 5-(26,11,25872)

clan: 13-(32,16,462), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,11,18480) (# 10309) : der= 5-(25,10,7392) and res= 5-(25,11,18480) - the given design is the residual.

# 10318: 5-(26,12,55440)

clan: 13-(32,16,462), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (right) for 5-(25,11,18480) (# 10309) : der= 5-(25,11,18480) and res= 5-(25,12,36960) - the given design is the derived.
derived from 6-(27,13,55440) (# 15813)
derived from supplementary of 6-(27,13,60840) (# 15816)

# 10319: 5-(24,13,36036)

clan: 13-(32,16,462), 3 times derived, 5 times residual
residual design of 6-(25,13,24024) (# 10313)
residual design of supplementary of 6-(25,13,26364) (# 10316)

# 10320: 5-(24,13,39546)

clan: 13-(32,16,507), 3 times derived, 5 times residual
residual design of supplementary of 6-(25,13,24024) (# 10313)
residual design of 6-(25,13,26364) (# 10316)

# 10321: 7-(26,13,14196)

clan: 13-(32,16,507), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,14196) (# 10315)

# 10322: 5-(27,11,35574)

clan: 13-(32,16,462), 3 times reduced t, 5 times derived
Tran van Trung construction (left) for 5-(26,11,25872) (# 10317) : der= 5-(26,10,9702) and res= 5-(26,11,25872) - the given design is the residual.

# 10323: 5-(27,12,81312)

clan: 13-(32,16,462), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,11,25872) (# 10317) : der= 5-(26,11,25872) and res= 5-(26,12,55440) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,12,55440) (# 10318) : der= 5-(26,11,25872) and res= 5-(26,12,55440) - the given design is the residual.

# 10324: 5-(27,13,152460)

clan: 13-(32,16,462), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (right) for 5-(26,12,55440) (# 10318) : der= 5-(26,12,55440) and res= 5-(26,13,97020) - the given design is the derived.
derived from 6-(28,14,152460) (# 15812)
design 6-(27,13,55440) (# 15813) with respect to smaller t
derived from supplementary of 6-(28,14,167310) (# 15815)
supplementary design of 6-(27,13,60840) (# 15816) with respect to smaller t

# 10325: 5-(28,12,116886)

clan: 13-(32,16,462), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,35574) (# 10322) : der= 5-(27,11,35574) and res= 5-(27,12,81312) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,12,81312) (# 10323) : der= 5-(27,11,35574) and res= 5-(27,12,81312) - the given design is the residual.

# 10326: 5-(28,13,233772)

clan: 13-(32,16,462), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(27,12,81312) (# 10323) : der= 5-(27,12,81312) and res= 5-(27,13,152460) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,13,152460) (# 10324) : der= 5-(27,12,81312) and res= 5-(27,13,152460) - the given design is the residual.

# 10327: 5-(28,14,389620)

clan: 13-(32,16,462), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,152460) (# 10324)
design 6-(28,14,152460) (# 15812) with respect to smaller t
supplementary design of 6-(28,14,167310) (# 15815) with respect to smaller t
Tran van Trung construction (left) for 5-(27,14,237160) (# 15818) : der= 5-(27,13,152460) and res= 5-(27,14,237160) - the given design is the residual.

# 10328: 5-(29,13,350658)

clan: 13-(32,16,462), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(28,12,116886) (# 10325) : der= 5-(28,12,116886) and res= 5-(28,13,233772) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,13,233772) (# 10326) : der= 5-(28,12,116886) and res= 5-(28,13,233772) - the given design is the residual.

# 10329: 5-(29,14,623392)

clan: 13-(32,16,462), 5 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(28,13,233772) (# 10326) : der= 5-(28,13,233772) and res= 5-(28,14,389620) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,14,389620) (# 10327) : der= 5-(28,13,233772) and res= 5-(28,14,389620) - the given design is the residual.

# 10330: 5-(30,14,974050)

clan: 13-(32,16,462), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(29,13,350658) (# 10328) : der= 5-(29,13,350658) and res= 5-(29,14,623392) - the given design is the derived.
Tran van Trung construction (left) for 5-(29,14,623392) (# 10329) : der= 5-(29,13,350658) and res= 5-(29,14,623392) - the given design is the residual.

# 10331: 5-(30,15,1558480)

clan: 13-(32,16,462), 6 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(29,14,623392) (# 10329)

# 10332: 5-(31,15,2532530)

clan: 13-(32,16,462), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(30,14,974050) (# 10330) : der= 5-(30,14,974050) and res= 5-(30,15,1558480) - the given design is the derived.
Tran van Trung construction (left) for 5-(30,15,1558480) (# 10331) : der= 5-(30,14,974050) and res= 5-(30,15,1558480) - the given design is the residual.

# 10333: 5-(32,16,6216210)

clan: 13-(32,16,462), 8 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,2532530) (# 10332)

# 10334: 6-(25,12,13272)

clan: 13-(32,16,474), 4 times derived, 3 times residual
PSL(2,23)+ (many isom. types)
derived from 7-(26,13,13272) (# 10338)
derived from supplementary of 7-(26,13,13860) (# 10355)

# 10335: 5-(25,12,37920)

clan: 13-(32,16,474), 1 times reduced t, 4 times derived, 3 times residual
design 6-(25,12,13272) (# 10334) with respect to smaller t
Tran van Trung construction (right) for 5-(24,11,13272) (# 10336) : der= 5-(24,11,13272) and res= 5-(24,12,24648) - the given design is the derived.
derived from 6-(26,13,37920) (# 10337)
derived from supplementary of 6-(26,13,39600) (# 10348)
supplementary design of 6-(25,12,13860) (# 10349) with respect to smaller t
residual design of 6-(26,12,18960) (# 13674)
residual design of supplementary of 6-(26,12,19800) (# 13675)

# 10336: 5-(24,11,13272)

clan: 13-(32,16,474), 5 times derived, 3 times residual
derived from 6-(25,12,13272) (# 10334)
derived from supplementary of 6-(25,12,13860) (# 10349)
residual design of 6-(25,11,5688) (# 13665)
residual design of supplementary of 6-(25,11,5940) (# 13668)

# 10337: 6-(26,13,37920)

clan: 13-(32,16,474), 1 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 6-(25,12,13272) (# 10334)
design 7-(26,13,13272) (# 10338) with respect to smaller t
Tran van Trung construction (left) for 6-(25,13,24648) (# 10347) : der= 6-(25,12,13272) and res= 6-(25,13,24648) - the given design is the residual.
supplementary design of 7-(26,13,13860) (# 10355) with respect to smaller t

# 10338: 7-(26,13,13272)

clan: 13-(32,16,474), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,13272) (# 10334)

# 10339: 5-(25,12,39600)

clan: 13-(32,16,495), 1 times reduced t, 4 times derived, 3 times residual
supplementary design of 6-(25,12,13272) (# 10334) with respect to smaller t
derived from supplementary of 6-(26,13,37920) (# 10337)
Tran van Trung construction (right) for 5-(24,11,13860) (# 10340) : der= 5-(24,11,13860) and res= 5-(24,12,25740) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,12,25740) (# 10341) : der= 5-(24,11,13860) and res= 5-(24,12,25740) - the given design is the residual.
derived from 6-(26,13,39600) (# 10348)
design 6-(25,12,13860) (# 10349) with respect to smaller t
residual design of supplementary of 6-(26,12,18960) (# 13674)
residual design of 6-(26,12,19800) (# 13675)

# 10340: 5-(24,11,13860)

clan: 13-(32,16,495), 5 times derived, 3 times residual
derived from supplementary of 6-(25,12,13272) (# 10334)
derived from 6-(25,12,13860) (# 10349)
residual design of supplementary of 6-(25,11,5688) (# 13665)
residual design of 6-(25,11,5940) (# 13668)

# 10341: 5-(24,12,25740)

clan: 13-(32,16,495), 4 times derived, 4 times residual
residual design of supplementary of 6-(25,12,13272) (# 10334)
derived from supplementary of 6-(25,13,24648) (# 10347)
residual design of 6-(25,12,13860) (# 10349)
derived from 6-(25,13,25740) (# 10350)

# 10342: 5-(26,13,99540)

clan: 13-(32,16,474), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,37920) (# 10335)
design 6-(26,13,37920) (# 10337) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,61620) (# 10344) : der= 5-(25,12,37920) and res= 5-(25,13,61620) - the given design is the residual.
supplementary design of 6-(26,13,39600) (# 10348) with respect to smaller t
residual design of 6-(27,13,56880) (# 13679)
residual design of supplementary of 6-(27,13,59400) (# 13681)
derived from 6-(27,14,99540) (# 13691)
derived from supplementary of 6-(27,14,103950) (# 13692)

# 10343: 5-(25,11,18960)

clan: 13-(32,16,474), 1 times reduced t, 5 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,11,13272) (# 10336) : der= 5-(24,10,5688) and res= 5-(24,11,13272) - the given design is the residual.
residual design of 6-(26,11,7584) (# 13663)
design 6-(25,11,5688) (# 13665) with respect to smaller t
residual design of supplementary of 6-(26,11,7920) (# 13666)
supplementary design of 6-(25,11,5940) (# 13668) with respect to smaller t
derived from 6-(26,12,18960) (# 13674)
derived from supplementary of 6-(26,12,19800) (# 13675)

# 10344: 5-(25,13,61620)

clan: 13-(32,16,474), 1 times reduced t, 3 times derived, 4 times residual
residual design of 6-(26,13,37920) (# 10337)
design 6-(25,13,24648) (# 10347) with respect to smaller t
residual design of supplementary of 6-(26,13,39600) (# 10348)
supplementary design of 6-(25,13,25740) (# 10350) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,36972) (# 10353) : der= 5-(24,12,24648) and res= 5-(24,13,36972) - the given design is the residual.

# 10345: 5-(26,13,103950)

clan: 13-(32,16,495), 2 times reduced t, 3 times derived, 3 times residual
supplementary design of 6-(26,13,37920) (# 10337) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,39600) (# 10339)
Tran van Trung construction (right) for 5-(25,12,39600) (# 10339) : der= 5-(25,12,39600) and res= 5-(25,13,64350) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,64350) (# 10346) : der= 5-(25,12,39600) and res= 5-(25,13,64350) - the given design is the residual.
design 6-(26,13,39600) (# 10348) with respect to smaller t
residual design of supplementary of 6-(27,13,56880) (# 13679)
residual design of 6-(27,13,59400) (# 13681)
derived from supplementary of 6-(27,14,99540) (# 13691)
derived from 6-(27,14,103950) (# 13692)

# 10346: 5-(25,13,64350)

clan: 13-(32,16,495), 1 times reduced t, 3 times derived, 4 times residual
residual design of supplementary of 6-(26,13,37920) (# 10337)
supplementary design of 6-(25,13,24648) (# 10347) with respect to smaller t
residual design of 6-(26,13,39600) (# 10348)
design 6-(25,13,25740) (# 10350) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,38610) (# 10354) : der= 5-(24,12,25740) and res= 5-(24,13,38610) - the given design is the residual.

# 10347: 6-(25,13,24648)

clan: 13-(32,16,474), 3 times derived, 4 times residual
residual design of 7-(26,13,13272) (# 10338)
residual design of supplementary of 7-(26,13,13860) (# 10355)

# 10348: 6-(26,13,39600)

clan: 13-(32,16,495), 1 times reduced t, 3 times derived, 3 times residual
supplementary design of 7-(26,13,13272) (# 10338) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,13860) (# 10349)
Tran van Trung construction (right) for 6-(25,12,13860) (# 10349) : der= 6-(25,12,13860) and res= 6-(25,13,25740) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,25740) (# 10350) : der= 6-(25,12,13860) and res= 6-(25,13,25740) - the given design is the residual.
design 7-(26,13,13860) (# 10355) with respect to smaller t

# 10349: 6-(25,12,13860)

clan: 13-(32,16,495), 4 times derived, 3 times residual
derived from supplementary of 7-(26,13,13272) (# 10338)
derived from 7-(26,13,13860) (# 10355)

# 10350: 6-(25,13,25740)

clan: 13-(32,16,495), 3 times derived, 4 times residual
residual design of supplementary of 7-(26,13,13272) (# 10338)
residual design of 7-(26,13,13860) (# 10355)

# 10351: 5-(26,11,26544)

clan: 13-(32,16,474), 2 times reduced t, 5 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,11,18960) (# 10343) : der= 5-(25,10,7584) and res= 5-(25,11,18960) - the given design is the residual.
design 6-(26,11,7584) (# 13663) with respect to smaller t
supplementary design of 6-(26,11,7920) (# 13666) with respect to smaller t
derived from 6-(27,12,26544) (# 13678)
derived from supplementary of 6-(27,12,27720) (# 13680)

# 10352: 5-(26,12,56880)

clan: 13-(32,16,474), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (right) for 5-(25,11,18960) (# 10343) : der= 5-(25,11,18960) and res= 5-(25,12,37920) - the given design is the derived.
design 6-(26,12,18960) (# 13674) with respect to smaller t
supplementary design of 6-(26,12,19800) (# 13675) with respect to smaller t
residual design of 6-(27,12,26544) (# 13678)
derived from 6-(27,13,56880) (# 13679)
residual design of supplementary of 6-(27,12,27720) (# 13680)
derived from supplementary of 6-(27,13,59400) (# 13681)

# 10353: 5-(24,13,36972)

clan: 13-(32,16,474), 3 times derived, 5 times residual
residual design of 6-(25,13,24648) (# 10347)
residual design of supplementary of 6-(25,13,25740) (# 10350)

# 10354: 5-(24,13,38610)

clan: 13-(32,16,495), 3 times derived, 5 times residual
residual design of supplementary of 6-(25,13,24648) (# 10347)
residual design of 6-(25,13,25740) (# 10350)

# 10355: 7-(26,13,13860)

clan: 13-(32,16,495), 3 times derived, 3 times residual
Alltop construction for design 6-(25,12,13860) (# 10349)

# 10356: 5-(27,11,36498)

clan: 13-(32,16,474), 3 times reduced t, 5 times derived
Tran van Trung construction (left) for 5-(26,11,26544) (# 10351) : der= 5-(26,10,9954) and res= 5-(26,11,26544) - the given design is the residual.

# 10357: 5-(27,12,83424)

clan: 13-(32,16,474), 3 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,11,26544) (# 10351) : der= 5-(26,11,26544) and res= 5-(26,12,56880) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,12,56880) (# 10352) : der= 5-(26,11,26544) and res= 5-(26,12,56880) - the given design is the residual.
derived from 6-(28,13,83424) (# 11917)
derived from supplementary of 6-(28,13,87120) (# 11929)
design 6-(27,12,26544) (# 13678) with respect to smaller t
supplementary design of 6-(27,12,27720) (# 13680) with respect to smaller t

# 10358: 5-(27,13,156420)

clan: 13-(32,16,474), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (right) for 5-(26,12,56880) (# 10352) : der= 5-(26,12,56880) and res= 5-(26,13,99540) - the given design is the derived.
residual design of 6-(28,13,83424) (# 11917)
residual design of supplementary of 6-(28,13,87120) (# 11929)
design 6-(27,13,56880) (# 13679) with respect to smaller t
supplementary design of 6-(27,13,59400) (# 13681) with respect to smaller t
derived from 6-(28,14,156420) (# 13683)
derived from supplementary of 6-(28,14,163350) (# 13685)

# 10359: 5-(28,12,119922)

clan: 13-(32,16,474), 4 times reduced t, 4 times derived
Tran van Trung construction (right) for 5-(27,11,36498) (# 10356) : der= 5-(27,11,36498) and res= 5-(27,12,83424) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,12,83424) (# 10357) : der= 5-(27,11,36498) and res= 5-(27,12,83424) - the given design is the residual.

# 10360: 5-(28,13,239844)

clan: 13-(32,16,474), 4 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(27,12,83424) (# 10357) : der= 5-(27,12,83424) and res= 5-(27,13,156420) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,13,156420) (# 10358) : der= 5-(27,12,83424) and res= 5-(27,13,156420) - the given design is the residual.
design 6-(28,13,83424) (# 11917) with respect to smaller t
supplementary design of 6-(28,13,87120) (# 11929) with respect to smaller t
derived from 6-(29,14,239844) (# 13690)
derived from supplementary of 6-(29,14,250470) (# 13693)

# 10361: 5-(28,14,399740)

clan: 13-(32,16,474), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,156420) (# 10358)
design 6-(28,14,156420) (# 13683) with respect to smaller t
supplementary design of 6-(28,14,163350) (# 13685) with respect to smaller t
Tran van Trung construction (left) for 5-(27,14,243320) (# 13688) : der= 5-(27,13,156420) and res= 5-(27,14,243320) - the given design is the residual.
residual design of 6-(29,14,239844) (# 13690)
residual design of supplementary of 6-(29,14,250470) (# 13693)
derived from 6-(29,15,399740) (# 13704)
derived from supplementary of 6-(29,15,417450) (# 13705)

# 10362: 5-(29,13,359766)

clan: 13-(32,16,474), 5 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(28,12,119922) (# 10359) : der= 5-(28,12,119922) and res= 5-(28,13,239844) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,13,239844) (# 10360) : der= 5-(28,12,119922) and res= 5-(28,13,239844) - the given design is the residual.

# 10363: 5-(29,14,639584)

clan: 13-(32,16,474), 5 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(28,13,239844) (# 10360) : der= 5-(28,13,239844) and res= 5-(28,14,399740) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,14,399740) (# 10361) : der= 5-(28,13,239844) and res= 5-(28,14,399740) - the given design is the residual.
design 6-(29,14,239844) (# 13690) with respect to smaller t
supplementary design of 6-(29,14,250470) (# 13693) with respect to smaller t
derived from 6-(30,15,639584) (# 13695)
derived from supplementary of 6-(30,15,667920) (# 13699)

# 10364: 5-(30,14,999350)

clan: 13-(32,16,474), 6 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(29,13,359766) (# 10362) : der= 5-(29,13,359766) and res= 5-(29,14,639584) - the given design is the derived.
Tran van Trung construction (left) for 5-(29,14,639584) (# 10363) : der= 5-(29,13,359766) and res= 5-(29,14,639584) - the given design is the residual.

# 10365: 5-(30,15,1598960)

clan: 13-(32,16,474), 6 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(29,14,639584) (# 10363)
design 6-(30,15,639584) (# 13695) with respect to smaller t
supplementary design of 6-(30,15,667920) (# 13699) with respect to smaller t
Tran van Trung construction (left) for 5-(29,15,959376) (# 13702) : der= 5-(29,14,639584) and res= 5-(29,15,959376) - the given design is the residual.

# 10366: 5-(31,15,2598310)

clan: 13-(32,16,474), 7 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(30,14,999350) (# 10364) : der= 5-(30,14,999350) and res= 5-(30,15,1598960) - the given design is the derived.
Tran van Trung construction (left) for 5-(30,15,1598960) (# 10365) : der= 5-(30,14,999350) and res= 5-(30,15,1598960) - the given design is the residual.

# 10367: 5-(32,16,6377670)

clan: 13-(32,16,474), 8 times reduced t
Tran van Trung construction with complementary design for 5-(31,15,2598310) (# 10366)

# 10368: 6-(25,12,13398)

clan: 11-(30,15,1914), 3 times derived, 2 times residual
PSL(2,23)+ (many isom. types)
derived from 7-(26,13,13398) (# 10372)
derived from supplementary of 7-(26,13,13734) (# 10389)

# 10369: 5-(25,12,38280)

clan: 11-(30,15,1914), 1 times reduced t, 3 times derived, 2 times residual
design 6-(25,12,13398) (# 10368) with respect to smaller t
Tran van Trung construction (right) for 5-(24,11,13398) (# 10370) : der= 5-(24,11,13398) and res= 5-(24,12,24882) - the given design is the derived.
derived from 6-(26,13,38280) (# 10371)
derived from supplementary of 6-(26,13,39240) (# 10382)
supplementary design of 6-(25,12,13734) (# 10383) with respect to smaller t

# 10370: 5-(24,11,13398)

clan: 11-(30,15,1914), 4 times derived, 2 times residual
derived from 6-(25,12,13398) (# 10368)
derived from supplementary of 6-(25,12,13734) (# 10383)

# 10371: 6-(26,13,38280)

clan: 11-(30,15,1914), 1 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 6-(25,12,13398) (# 10368)
design 7-(26,13,13398) (# 10372) with respect to smaller t
Tran van Trung construction (left) for 6-(25,13,24882) (# 10381) : der= 6-(25,12,13398) and res= 6-(25,13,24882) - the given design is the residual.
supplementary design of 7-(26,13,13734) (# 10389) with respect to smaller t

# 10372: 7-(26,13,13398)

clan: 11-(30,15,1914), 2 times derived, 2 times residual
Alltop construction for design 6-(25,12,13398) (# 10368)

# 10373: 5-(25,12,39240)

clan: 11-(30,15,1962), 1 times reduced t, 3 times derived, 2 times residual
supplementary design of 6-(25,12,13398) (# 10368) with respect to smaller t
derived from supplementary of 6-(26,13,38280) (# 10371)
Tran van Trung construction (right) for 5-(24,11,13734) (# 10374) : der= 5-(24,11,13734) and res= 5-(24,12,25506) - the given design is the derived.
Tran van Trung construction (left) for 5-(24,12,25506) (# 10375) : der= 5-(24,11,13734) and res= 5-(24,12,25506) - the given design is the residual.
derived from 6-(26,13,39240) (# 10382)
design 6-(25,12,13734) (# 10383) with respect to smaller t

# 10374: 5-(24,11,13734)

clan: 11-(30,15,1962), 4 times derived, 2 times residual
derived from supplementary of 6-(25,12,13398) (# 10368)
derived from 6-(25,12,13734) (# 10383)

# 10375: 5-(24,12,25506)

clan: 11-(30,15,1962), 3 times derived, 3 times residual
residual design of supplementary of 6-(25,12,13398) (# 10368)
derived from supplementary of 6-(25,13,24882) (# 10381)
residual design of 6-(25,12,13734) (# 10383)
derived from 6-(25,13,25506) (# 10384)

# 10376: 5-(26,13,100485)

clan: 11-(30,15,1914), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,38280) (# 10369)
design 6-(26,13,38280) (# 10371) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,62205) (# 10378) : der= 5-(25,12,38280) and res= 5-(25,13,62205) - the given design is the residual.
supplementary design of 6-(26,13,39240) (# 10382) with respect to smaller t

# 10377: 5-(25,11,19140)

clan: 11-(30,15,1914), 1 times reduced t, 4 times derived, 1 times residual
Tran van Trung construction (left) for 5-(24,11,13398) (# 10370) : der= 5-(24,10,5742) and res= 5-(24,11,13398) - the given design is the residual.

# 10378: 5-(25,13,62205)

clan: 11-(30,15,1914), 1 times reduced t, 2 times derived, 3 times residual
residual design of 6-(26,13,38280) (# 10371)
design 6-(25,13,24882) (# 10381) with respect to smaller t
residual design of supplementary of 6-(26,13,39240) (# 10382)
supplementary design of 6-(25,13,25506) (# 10384) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,37323) (# 10387) : der= 5-(24,12,24882) and res= 5-(24,13,37323) - the given design is the residual.

# 10379: 5-(26,13,103005)

clan: 11-(30,15,1962), 2 times reduced t, 2 times derived, 2 times residual
supplementary design of 6-(26,13,38280) (# 10371) with respect to smaller t
Tran van Trung construction with complementary design for 5-(25,12,39240) (# 10373)
Tran van Trung construction (right) for 5-(25,12,39240) (# 10373) : der= 5-(25,12,39240) and res= 5-(25,13,63765) - the given design is the derived.
Tran van Trung construction (left) for 5-(25,13,63765) (# 10380) : der= 5-(25,12,39240) and res= 5-(25,13,63765) - the given design is the residual.
design 6-(26,13,39240) (# 10382) with respect to smaller t

# 10380: 5-(25,13,63765)

clan: 11-(30,15,1962), 1 times reduced t, 2 times derived, 3 times residual
residual design of supplementary of 6-(26,13,38280) (# 10371)
supplementary design of 6-(25,13,24882) (# 10381) with respect to smaller t
residual design of 6-(26,13,39240) (# 10382)
design 6-(25,13,25506) (# 10384) with respect to smaller t
Tran van Trung construction (left) for 5-(24,13,38259) (# 10388) : der= 5-(24,12,25506) and res= 5-(24,13,38259) - the given design is the residual.

# 10381: 6-(25,13,24882)

clan: 11-(30,15,1914), 2 times derived, 3 times residual
residual design of 7-(26,13,13398) (# 10372)
residual design of supplementary of 7-(26,13,13734) (# 10389)

# 10382: 6-(26,13,39240)

clan: 11-(30,15,1962), 1 times reduced t, 2 times derived, 2 times residual
supplementary design of 7-(26,13,13398) (# 10372) with respect to smaller t
Tran van Trung construction with complementary design for 6-(25,12,13734) (# 10383)
Tran van Trung construction (right) for 6-(25,12,13734) (# 10383) : der= 6-(25,12,13734) and res= 6-(25,13,25506) - the given design is the derived.
Tran van Trung construction (left) for 6-(25,13,25506) (# 10384) : der= 6-(25,12,13734) and res= 6-(25,13,25506) - the given design is the residual.
design 7-(26,13,13734) (# 10389) with respect to smaller t

# 10383: 6-(25,12,13734)

clan: 11-(30,15,1962), 3 times derived, 2 times residual
derived from supplementary of 7-(26,13,13398) (# 10372)
derived from 7-(26,13,13734) (# 10389)

# 10384: 6-(25,13,25506)

clan: 11-(30,15,1962), 2 times derived, 3 times residual
residual design of supplementary of 7-(26,13,13398) (# 10372)
residual design of 7-(26,13,13734) (# 10389)

# 10385: 5-(26,11,26796)

clan: 11-(30,15,1914), 2 times reduced t, 4 times derived
Tran van Trung construction (left) for 5-(25,11,19140) (# 10377) : der= 5-(25,10,7656) and res= 5-(25,11,19140) - the given design is the residual.

# 10386: 5-(26,12,57420)

clan: 11-(30,15,1914), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (right) for 5-(25,11,19140) (# 10377) : der= 5-(25,11,19140) and res= 5-(25,12,38280) - the given design is the derived.

# 10387: 5-(24,13,37323)

clan: 11-(30,15,1914), 2 times derived, 4 times residual
residual design of 6-(25,13,24882) (# 10381)
residual design of supplementary of 6-(25,13,25506) (# 10384)

# 10388: 5-(24,13,38259)

clan: 11-(30,15,1962), 2 times derived, 4 times residual
residual design of supplementary of 6-(25,13,24882) (# 10381)
residual design of 6-(25,13,25506) (# 10384)

# 10389: 7-(26,13,13734)

clan: 11-(30,15,1962), 2 times derived, 2 times residual
Alltop construction for design 6-(25,12,13734) (# 10383)

# 10390: 5-(27,12,84216)

clan: 11-(30,15,1914), 3 times reduced t, 3 times derived
Tran van Trung construction (right) for 5-(26,11,26796) (# 10385) : der= 5-(26,11,26796) and res= 5-(26,12,57420) - the given design is the derived.
Tran van Trung construction (left) for 5-(26,12,57420) (# 10386) : der= 5-(26,11,26796) and res= 5-(26,12,57420) - the given design is the residual.

# 10391: 5-(27,13,157905)

clan: 11-(30,15,1914), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (right) for 5-(26,12,57420) (# 10386) : der= 5-(26,12,57420) and res= 5-(26,13,100485) - the given design is the derived.

# 10392: 5-(28,13,242121)

clan: 11-(30,15,1914), 4 times reduced t, 2 times derived
Tran van Trung construction (right) for 5-(27,12,84216) (# 10390) : der= 5-(27,12,84216) and res= 5-(27,13,157905) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,13,157905) (# 10391) : der= 5-(27,12,84216) and res= 5-(27,13,157905) - the given design is the residual.

# 10393: 5-(28,14,403535)

clan: 11-(30,15,1914), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,157905) (# 10391)

# 10394: 5-(29,14,645656)

clan: 11-(30,15,1914), 5 times reduced t, 1 times derived
Tran van Trung construction (right) for 5-(28,13,242121) (# 10392) : der= 5-(28,13,242121) and res= 5-(28,14,403535) - the given design is the derived.
Tran van Trung construction (left) for 5-(28,14,403535) (# 10393) : der= 5-(28,13,242121) and res= 5-(28,14,403535) - the given design is the residual.

# 10395: 5-(30,15,1614140)

clan: 11-(30,15,1914), 6 times reduced t
Tran van Trung construction with complementary design for 5-(29,14,645656) (# 10394)

# 10396: 6-(25,8,36)

clan: 17-(36,18,4), 10 times derived, 1 times residual
PGL(2,23)+ (242 isom. types) \cite{Bettenetal98b}
$AGL(2,5)$ (265 isom. types)

# 10397: 5-(25,8,900)

clan: 17-(36,18,15), 1 times reduced t, 10 times derived, 1 times residual
supplementary design of 6-(25,8,36) (# 10396) with respect to smaller t
Tran van Trung construction (right) for 5-(24,7,135) (# 10398) : der= 5-(24,7,135) and res= 5-(24,8,765) - the given design is the derived.
derived from supplementary of 6-(26,9,240) (# 10429)
derived from 6-(26,9,900) (# 13788)

# 10398: 5-(24,7,135)

clan: 17-(36,18,15), 11 times derived, 1 times residual
derived from supplementary of 6-(25,8,36) (# 10396)

# 10399: 6-(25,8,45)

clan: 17-(36,18,5), 10 times derived, 1 times residual
PGL(2,23)+ (10008 isom. types) \cite{Bettenetal98b}

created: Fri Oct 23 11:12:26 CEST 2009