t designs with small t, id ge 4400

# 4400: 5-(24,12,25188)

clan: 5-(24,12,25188)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4401: 5-(24,12,2538)

clan: 5-(24,12,2538)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4402: 5-(24,12,2556)

clan: 5-(24,12,2556)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4403: 5-(24,12,2574)

clan: 11-(30,15,198), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4404: 5-(25,12,3960)

clan: 11-(30,15,198), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,2574) (# 4403) : der= 5-(24,11,1386) and res= 5-(24,12,2574) - the given design is the residual.

# 4405: 5-(26,13,10395)

clan: 11-(30,15,198), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,3960) (# 4404)

# 4406: 5-(26,12,5940)

clan: 11-(30,15,198), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,3960) (# 4404) : der= 5-(25,11,1980) and res= 5-(25,12,3960) - the given design is the residual.

# 4407: 5-(27,13,16335)

clan: 11-(30,15,198), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,10395) (# 4405) : der= 5-(26,12,5940) and res= 5-(26,13,10395) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,5940) (# 4406) : der= 5-(26,12,5940) and res= 5-(26,13,10395) - the given design is the derived.

# 4408: 5-(28,14,41745)

clan: 11-(30,15,198), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,16335) (# 4407)

# 4409: 5-(24,12,2604)

clan: 5-(24,12,2604)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4410: 5-(24,12,2622)

clan: 7-(24,12,322), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4411: 5-(24,12,264)

clan: 5-(24,12,264)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4412: 5-(24,12,2640)

clan: 5-(24,12,2640)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4413: 5-(24,12,2670)

clan: 5-(24,12,2670)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4414: 5-(24,12,2688)

clan: 5-(24,12,2688)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4415: 5-(24,12,2706)

clan: 5-(24,12,2706)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4416: 5-(24,12,2736)

clan: 7-(24,12,336), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4417: 5-(24,12,2754)

clan: 5-(24,12,2754)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4418: 5-(24,12,2772)

clan: 5-(24,12,2772)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4419: 5-(24,12,2802)

clan: 5-(24,12,2802)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4420: 5-(24,12,2820)

clan: 5-(24,12,2820)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4421: 5-(24,12,2838)

clan: 5-(24,12,2838)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4422: 5-(24,12,2868)

clan: 5-(24,12,2868)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4423: 5-(24,12,2886)

clan: 11-(30,15,222), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4424: 5-(24,12,2904)

clan: 5-(24,12,2904)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4425: 5-(24,12,2934)

clan: 5-(24,12,2934)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4426: 5-(24,12,294)

clan: 5-(24,12,294)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4427: 5-(24,12,2952)

clan: 5-(24,12,2952)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4428: 5-(24,12,2970)

clan: 5-(24,12,2970)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4429: 5-(24,12,3000)

clan: 5-(24,12,3000)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4430: 5-(24,12,3018)

clan: 5-(24,12,3018)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4431: 5-(24,12,3036)

clan: 5-(24,12,3036)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4432: 5-(24,12,3066)

clan: 5-(24,12,3066)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4433: 5-(24,12,3084)

clan: 5-(24,12,3084)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4434: 5-(24,12,3102)

clan: 5-(24,12,3102)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4435: 5-(24,12,312)

clan: 13-(32,16,6), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4436: 5-(24,12,3132)

clan: 5-(24,12,3132)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4437: 5-(24,12,3150)

clan: 5-(24,12,3150)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4438: 5-(24,12,3168)

clan: 5-(24,12,3168)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4439: 5-(24,12,3198)

clan: 11-(30,15,246), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4440: 5-(25,12,4920)

clan: 11-(30,15,246), 1 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(24,12,3198) (# 4439) : der= 5-(24,11,1722) and res= 5-(24,12,3198) - the given design is the residual.

# 4441: 5-(26,13,12915)

clan: 11-(30,15,246), 2 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(25,12,4920) (# 4440)

# 4442: 5-(26,12,7380)

clan: 11-(30,15,246), 2 times reduced t, 3 times derived, 1 times residual
Tran van Trung construction (left) for 5-(25,12,4920) (# 4440) : der= 5-(25,11,2460) and res= 5-(25,12,4920) - the given design is the residual.

# 4443: 5-(27,13,20295)

clan: 11-(30,15,246), 3 times reduced t, 2 times derived, 1 times residual
Tran van Trung construction (left) for 5-(26,13,12915) (# 4441) : der= 5-(26,12,7380) and res= 5-(26,13,12915) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,7380) (# 4442) : der= 5-(26,12,7380) and res= 5-(26,13,12915) - the given design is the derived.

# 4444: 5-(28,14,51865)

clan: 11-(30,15,246), 4 times reduced t, 1 times derived, 1 times residual
Tran van Trung construction with complementary design for 5-(27,13,20295) (# 4443)

# 4445: 5-(24,12,3216)

clan: 5-(24,12,3216)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4446: 5-(24,12,3234)

clan: 5-(24,12,3234)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4447: 5-(24,12,3264)

clan: 5-(24,12,3264)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4448: 5-(24,12,3282)

clan: 5-(24,12,3282)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4449: 5-(24,12,330)

clan: 5-(24,12,330)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4450: 5-(24,12,3300)

clan: 5-(24,12,3300)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4451: 5-(24,12,3330)

clan: 5-(24,12,3330)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4452: 5-(24,12,3348)

clan: 5-(24,12,3348)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4453: 5-(24,12,3366)

clan: 5-(24,12,3366)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4454: 5-(24,12,3396)

clan: 5-(24,12,3396)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4455: 5-(24,12,3414)

clan: 5-(24,12,3414)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4456: 5-(24,12,3432)

clan: 13-(32,16,66), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4457: 5-(25,12,5280)

clan: 13-(32,16,66), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,3432) (# 4456) : der= 5-(24,11,1848) and res= 5-(24,12,3432) - the given design is the residual.

# 4458: 5-(26,13,13860)

clan: 13-(32,16,66), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,5280) (# 4457)

# 4459: 5-(26,12,7920)

clan: 13-(32,16,66), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,5280) (# 4457) : der= 5-(25,11,2640) and res= 5-(25,12,5280) - the given design is the residual.

# 4460: 5-(27,13,21780)

clan: 13-(32,16,66), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,13860) (# 4458) : der= 5-(26,12,7920) and res= 5-(26,13,13860) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,7920) (# 4459) : der= 5-(26,12,7920) and res= 5-(26,13,13860) - the given design is the derived.

# 4461: 5-(28,14,55660)

clan: 13-(32,16,66), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,21780) (# 4460)

# 4462: 5-(24,12,3462)

clan: 5-(24,12,3462)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4463: 5-(24,12,3480)

clan: 5-(24,12,3480)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4464: 5-(24,12,3498)

clan: 5-(24,12,3498)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4465: 5-(24,12,3528)

clan: 5-(24,12,3528)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4466: 5-(24,12,3546)

clan: 5-(24,12,3546)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4467: 5-(24,12,3564)

clan: 5-(24,12,3564)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4468: 5-(24,12,3594)

clan: 5-(24,12,3594)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4469: 5-(24,12,360)

clan: 5-(24,12,360)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4470: 5-(24,12,3612)

clan: 5-(24,12,3612)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4471: 5-(24,12,3630)

clan: 5-(24,12,3630)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4472: 5-(24,12,3660)

clan: 5-(24,12,3660)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4473: 5-(24,12,3678)

clan: 5-(24,12,3678)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4474: 5-(24,12,3696)

clan: 5-(24,12,3696)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4475: 5-(24,12,3726)

clan: 5-(24,12,3726)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4476: 5-(24,12,3744)

clan: 13-(32,16,72), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4477: 5-(24,12,378)

clan: 5-(24,12,378)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4478: 5-(24,12,3792)

clan: 5-(24,12,3792)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4479: 5-(24,12,3810)

clan: 5-(24,12,3810)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4480: 5-(24,12,3828)

clan: 5-(24,12,3828)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4481: 5-(24,12,3858)

clan: 5-(24,12,3858)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4482: 5-(24,12,3894)

clan: 5-(24,12,3894)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4483: 5-(24,12,3924)

clan: 5-(24,12,3924)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4484: 5-(24,12,3942)

clan: 5-(24,12,3942)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4485: 5-(24,12,396)

clan: 5-(24,12,396)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4486: 5-(24,12,3960)

clan: 5-(24,12,3960)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4487: 5-(24,12,3990)

clan: 7-(24,12,490), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4488: 5-(24,12,4008)

clan: 5-(24,12,4008)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4489: 5-(24,12,4026)

clan: 5-(24,12,4026)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4490: 5-(24,12,4032)

clan: 5-(24,12,4032)
\cite{Bluskov}

# 4491: 5-(24,12,4056)

clan: 13-(32,16,78), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4492: 5-(25,12,6240)

clan: 13-(32,16,78), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,4056) (# 4491) : der= 5-(24,11,2184) and res= 5-(24,12,4056) - the given design is the residual.

# 4493: 5-(26,13,16380)

clan: 13-(32,16,78), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,6240) (# 4492)
residual design of 6-(27,13,9360) (# 11583)
derived from 6-(27,14,16380) (# 11593)
residual design of supplementary of 6-(27,13,106920) (# 11595)
derived from supplementary of 6-(27,14,187110) (# 11596)

# 4494: 5-(26,12,9360)

clan: 13-(32,16,78), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,6240) (# 4492) : der= 5-(25,11,3120) and res= 5-(25,12,6240) - the given design is the residual.
residual design of 6-(27,12,4368) (# 10890)
derived from 6-(27,13,9360) (# 11583)
derived from supplementary of 6-(27,13,106920) (# 11595)

# 4495: 5-(27,13,25740)

clan: 13-(32,16,78), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,16380) (# 4493) : der= 5-(26,12,9360) and res= 5-(26,13,16380) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,9360) (# 4494) : der= 5-(26,12,9360) and res= 5-(26,13,16380) - the given design is the derived.
design 6-(27,13,9360) (# 11583) with respect to smaller t
derived from 6-(28,14,25740) (# 11584)
residual design of 6-(28,13,13728) (# 11588)
derived from supplementary of 6-(28,14,294030) (# 11594)
supplementary design of 6-(27,13,106920) (# 11595) with respect to smaller t

# 4496: 5-(28,14,65780)

clan: 13-(32,16,78), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,25740) (# 4495)
design 6-(28,14,25740) (# 11584) with respect to smaller t
Tran van Trung construction (left) for 5-(27,14,40040) (# 11589) : der= 5-(27,13,25740) and res= 5-(27,14,40040) - the given design is the residual.
residual design of 6-(29,14,39468) (# 11592)
supplementary design of 6-(28,14,294030) (# 11594) with respect to smaller t
derived from 6-(29,15,65780) (# 11607)
residual design of supplementary of 6-(29,14,450846) (# 11609)
derived from supplementary of 6-(29,15,751410) (# 11610)

# 4497: 5-(24,12,4074)

clan: 5-(24,12,4074)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4498: 5-(24,12,4092)

clan: 5-(24,12,4092)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4499: 5-(24,12,4122)

clan: 5-(24,12,4122)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:02 CEST 2009