t designs with small t, id ge 4500

• clan: 5-(24,12,4140)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4501: 5-(24,12,4158)

• clan: 5-(24,12,4158)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4502: 5-(24,12,4188)

• clan: 5-(24,12,4188)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4503: 5-(24,12,4206)

• clan: 5-(24,12,4206)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4504: 5-(24,12,4224)

• clan: 5-(24,12,4224)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4505: 5-(24,12,4254)

• clan: 5-(24,12,4254)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4506: 5-(24,12,426)

• clan: 5-(24,12,426)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4507: 5-(24,12,4272)

• clan: 5-(24,12,4272)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4508: 5-(24,12,4290)

• clan: 11-(30,15,330), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• \cite{Bluskov}

# 4509: 5-(25,12,6600)

• clan: 11-(30,15,330), 1 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,12,4290) (# 4508) : der= 5-(24,11,2310) and res= 5-(24,12,4290) - the given design is the residual.

# 4510: 5-(26,13,17325)

• clan: 11-(30,15,330), 2 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,6600) (# 4509)

# 4511: 5-(26,12,9900)

• clan: 11-(30,15,330), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,12,6600) (# 4509) : der= 5-(25,11,3300) and res= 5-(25,12,6600) - the given design is the residual.

# 4512: 5-(27,13,27225)

• clan: 11-(30,15,330), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,13,17325) (# 4510) : der= 5-(26,12,9900) and res= 5-(26,13,17325) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,9900) (# 4511) : der= 5-(26,12,9900) and res= 5-(26,13,17325) - the given design is the derived.

# 4513: 5-(28,14,69575)

• clan: 11-(30,15,330), 4 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,27225) (# 4512)

# 4514: 5-(24,12,4320)

• clan: 5-(24,12,4320)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4515: 5-(24,12,4338)

• clan: 5-(24,12,4338)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4516: 5-(24,12,4356)

• clan: 5-(24,12,4356)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4517: 5-(24,12,4386)

• clan: 5-(24,12,4386)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4518: 5-(24,12,4404)

• clan: 5-(24,12,4404)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4519: 5-(24,12,4422)

• clan: 5-(24,12,4422)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4520: 5-(24,12,444)

• clan: 5-(24,12,444)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4521: 5-(24,12,4452)

• clan: 5-(24,12,4452)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4522: 5-(24,12,4470)

• clan: 5-(24,12,4470)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4523: 5-(24,12,4488)

• clan: 5-(24,12,4488)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4524: 5-(24,12,4518)

• clan: 5-(24,12,4518)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4525: 5-(24,12,4536)

• clan: 5-(24,12,4536)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4526: 5-(24,12,4554)

• clan: 5-(24,12,4554)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4527: 5-(24,12,4584)

• clan: 5-(24,12,4584)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4528: 5-(24,12,4602)

• clan: 11-(30,15,354), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4529: 5-(24,12,462)

• clan: 5-(24,12,462)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4530: 5-(24,12,4620)

• clan: 5-(24,12,4620)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4531: 5-(24,12,4650)

• clan: 5-(24,12,4650)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4532: 5-(24,12,4668)

• clan: 5-(24,12,4668)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4533: 5-(24,12,4686)

• clan: 5-(24,12,4686)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4534: 5-(24,12,4716)

• clan: 5-(24,12,4716)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4535: 5-(24,12,4734)

• clan: 5-(24,12,4734)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4536: 5-(24,12,4752)

• clan: 5-(24,12,4752)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4537: 5-(24,12,4782)

• clan: 5-(24,12,4782)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4538: 5-(24,12,48)

• clan: 5-(24,12,48)
• \cite{Driessen}
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• \cite{AssmusMattson69c}

# 4539: 5-(24,12,4800)

• clan: 5-(24,12,4800)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4540: 5-(24,12,4818)

• clan: 5-(24,12,4818)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4541: 5-(24,12,4848)

• clan: 5-(24,12,4848)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4542: 5-(24,12,4866)

• clan: 5-(24,12,4866)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4543: 5-(24,12,4884)

• clan: 5-(24,12,4884)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4544: 5-(24,12,4914)

• clan: 11-(30,15,378), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4545: 5-(25,12,7560)

• clan: 11-(30,15,378), 1 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,12,4914) (# 4544) : der= 5-(24,11,2646) and res= 5-(24,12,4914) - the given design is the residual.
• residual design of 6-(26,12,3780) (# 15044)
• derived from 6-(26,13,7560) (# 15045)
• residual design of supplementary of 6-(26,12,34980) (# 15048)
• derived from supplementary of 6-(26,13,69960) (# 15049)

# 4546: 5-(26,13,19845)

• clan: 11-(30,15,378), 2 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,7560) (# 4545)
• residual design of 6-(27,13,11340) (# 15043)
• design 6-(26,13,7560) (# 15045) with respect to smaller t
• residual design of supplementary of 6-(27,13,104940) (# 15047)
• supplementary design of 6-(26,13,69960) (# 15049) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,12285) (# 15056) : der= 5-(25,12,7560) and res= 5-(25,13,12285) - the given design is the residual.
• derived from 6-(27,14,19845) (# 15058)
• derived from supplementary of 6-(27,14,183645) (# 15060)

# 4547: 5-(26,12,11340)

• clan: 11-(30,15,378), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,12,7560) (# 4545) : der= 5-(25,11,3780) and res= 5-(25,12,7560) - the given design is the residual.
• derived from 6-(27,13,11340) (# 15043)
• design 6-(26,12,3780) (# 15044) with respect to smaller t
• derived from supplementary of 6-(27,13,104940) (# 15047)
• supplementary design of 6-(26,12,34980) (# 15048) with respect to smaller t

# 4548: 5-(27,13,31185)

• clan: 11-(30,15,378), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,13,19845) (# 4546) : der= 5-(26,12,11340) and res= 5-(26,13,19845) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,11340) (# 4547) : der= 5-(26,12,11340) and res= 5-(26,13,19845) - the given design is the derived.
• design 6-(27,13,11340) (# 15043) with respect to smaller t
• supplementary design of 6-(27,13,104940) (# 15047) with respect to smaller t
• derived from 6-(28,14,31185) (# 15050)
• derived from supplementary of 6-(28,14,288585) (# 15059)

# 4549: 5-(28,14,79695)

• clan: 11-(30,15,378), 4 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,31185) (# 4548)
• design 6-(28,14,31185) (# 15050) with respect to smaller t
• supplementary design of 6-(28,14,288585) (# 15059) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,48510) (# 15062) : der= 5-(27,13,31185) and res= 5-(27,14,48510) - the given design is the residual.

# 4550: 5-(24,12,492)

• clan: 5-(24,12,492)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4551: 5-(24,12,4932)

• clan: 5-(24,12,4932)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4552: 5-(24,12,4950)

• clan: 5-(24,12,4950)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4553: 5-(24,12,4980)

• clan: 5-(24,12,4980)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4554: 5-(24,12,4998)

• clan: 5-(24,12,4998)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4555: 5-(24,12,5016)

• clan: 7-(24,12,616), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4556: 5-(24,12,5046)

• clan: 5-(24,12,5046)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4557: 5-(24,12,5064)

• clan: 5-(24,12,5064)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4558: 5-(24,12,5082)

• clan: 5-(24,12,5082)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4559: 5-(24,12,510)

• clan: 5-(24,12,510)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4560: 5-(24,12,5112)

• clan: 5-(24,12,5112)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4561: 5-(24,12,5148)

• clan: 13-(32,16,99), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4562: 5-(25,12,7920)

• clan: 13-(32,16,99), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 5-(24,12,5148) (# 4561) : der= 5-(24,11,2772) and res= 5-(24,12,5148) - the given design is the residual.

# 4563: 5-(26,13,20790)

• clan: 13-(32,16,99), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,7920) (# 4562)

# 4564: 5-(26,12,11880)

• clan: 13-(32,16,99), 2 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(25,12,7920) (# 4562) : der= 5-(25,11,3960) and res= 5-(25,12,7920) - the given design is the residual.

# 4565: 5-(27,13,32670)

• clan: 13-(32,16,99), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(26,13,20790) (# 4563) : der= 5-(26,12,11880) and res= 5-(26,13,20790) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,11880) (# 4564) : der= 5-(26,12,11880) and res= 5-(26,13,20790) - the given design is the derived.

# 4566: 5-(28,14,83490)

• clan: 13-(32,16,99), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(27,13,32670) (# 4565)

# 4567: 5-(24,12,5178)

• clan: 5-(24,12,5178)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4568: 5-(24,12,5196)

• clan: 5-(24,12,5196)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4569: 5-(24,12,5214)

• clan: 5-(24,12,5214)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4570: 5-(24,12,5244)

• clan: 7-(24,12,644), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4571: 5-(24,12,5262)

• clan: 5-(24,12,5262)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4572: 5-(24,12,528)

• clan: 5-(24,12,528)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4573: 5-(24,12,5280)

• clan: 5-(24,12,5280)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4574: 5-(24,12,5310)

• clan: 5-(24,12,5310)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4575: 5-(24,12,5328)

• clan: 5-(24,12,5328)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4576: 5-(24,12,5346)

• clan: 5-(24,12,5346)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4577: 5-(24,12,5376)

• clan: 5-(24,12,5376)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4578: 5-(24,12,5394)

• clan: 5-(24,12,5394)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4579: 5-(24,12,5412)

• clan: 5-(24,12,5412)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4580: 5-(24,12,5442)

• clan: 5-(24,12,5442)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4581: 5-(24,12,5460)

• clan: 13-(32,16,105), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4582: 5-(24,12,5478)

• clan: 5-(24,12,5478)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4583: 5-(24,12,5508)

• clan: 5-(24,12,5508)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4584: 5-(24,12,5526)

• clan: 5-(24,12,5526)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4585: 5-(24,12,5544)

• clan: 5-(24,12,5544)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4586: 5-(24,12,5574)

• clan: 5-(24,12,5574)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4587: 5-(24,12,558)

• clan: 5-(24,12,558)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4588: 5-(24,12,5592)

• clan: 5-(24,12,5592)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4589: 5-(24,12,5610)

• clan: 5-(24,12,5610)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4590: 5-(24,12,5640)

• clan: 5-(24,12,5640)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4591: 5-(24,12,5658)

• clan: 5-(24,12,5658)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4592: 5-(24,12,5676)

• clan: 5-(24,12,5676)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4593: 5-(24,12,5706)

• clan: 5-(24,12,5706)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4594: 5-(24,12,5724)

• clan: 5-(24,12,5724)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4595: 5-(24,12,5742)

• clan: 5-(24,12,5742)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4596: 5-(24,12,576)

• clan: 5-(24,12,576)
• $PSL(2,23)$ (1 isomorphism type) \cite{AssmusMattson69c}

# 4597: 5-(24,12,5772)

• clan: 13-(32,16,111), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4598: 5-(25,12,8880)

• clan: 13-(32,16,111), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (left) for 5-(24,12,5772) (# 4597) : der= 5-(24,11,3108) and res= 5-(24,12,5772) - the given design is the residual.

# 4599: 5-(26,13,23310)

• clan: 13-(32,16,111), 2 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 5-(25,12,8880) (# 4598)

created: Fri Oct 23 11:10:03 CEST 2009