t designs with small t, id ge 2800

---

# 2800: 5-(24,12,16122)

• clan: 5-(24,12,16122)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2801: 5-(24,12,16128)

• clan: 5-(24,12,16128)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2802: 5-(24,12,16134)

• clan: 5-(24,12,16134)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2803: 5-(24,12,1614)

• clan: 5-(24,12,1614)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2804: 5-(24,12,16140)

• clan: 5-(24,12,16140)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2805: 5-(24,12,16146)

• clan: 11-(30,15,1242), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2806: 5-(24,12,16152)

• clan: 5-(24,12,16152)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2807: 5-(24,12,16158)

• clan: 5-(24,12,16158)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2808: 5-(24,12,16164)

• clan: 5-(24,12,16164)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2809: 5-(24,12,16170)

• clan: 5-(24,12,16170)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2810: 5-(24,12,16176)

• clan: 5-(24,12,16176)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2811: 5-(24,12,16182)

• clan: 5-(24,12,16182)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2812: 5-(24,12,16194)

• clan: 5-(24,12,16194)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2813: 5-(24,12,162)

• clan: 5-(24,12,162)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2814: 5-(24,12,16200)

• clan: 5-(24,12,16200)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2815: 5-(24,12,16206)

• clan: 5-(24,12,16206)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2816: 5-(24,12,16212)

• clan: 5-(24,12,16212)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2817: 5-(24,12,16218)

• clan: 5-(24,12,16218)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2818: 5-(24,12,16224)

• clan: 13-(32,16,312), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2819: 5-(24,12,16230)

• clan: 5-(24,12,16230)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2820: 5-(24,12,16236)

• clan: 5-(24,12,16236)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2821: 5-(24,12,16242)

• clan: 5-(24,12,16242)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2822: 5-(24,12,16248)

• clan: 5-(24,12,16248)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2823: 5-(24,12,16254)

• clan: 5-(24,12,16254)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2824: 5-(24,12,16260)

• clan: 5-(24,12,16260)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2825: 5-(24,12,16266)

• clan: 5-(24,12,16266)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2826: 5-(24,12,16272)

• clan: 5-(24,12,16272)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2827: 5-(24,12,16278)

• clan: 5-(24,12,16278)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2828: 5-(24,12,16284)

• clan: 5-(24,12,16284)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2829: 5-(24,12,16290)

• clan: 5-(24,12,16290)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2830: 5-(24,12,16296)

• clan: 5-(24,12,16296)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2831: 5-(24,12,16302)

• clan: 13-(30,15,44), 2 times reduced t, 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,6006) (# 9789)
• residual design of 6-(25,12,8778) (# 9936)
• derived from 6-(25,13,16302) (# 9941)
• residual design of supplementary of 6-(25,12,18354) (# 9943)
• derived from supplementary of 6-(25,13,34086) (# 9944)

---

# 2832: 5-(25,12,25080)

• clan: 13-(30,15,44), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,12,16302) (# 2831) : der= 5-(24,11,8778) and res= 5-(24,12,16302) - the given design is the residual.
• design 6-(25,12,8778) (# 9936) with respect to smaller t
• derived from 6-(26,13,25080) (# 9937)
• derived from supplementary of 6-(26,13,52440) (# 9942)
• supplementary design of 6-(25,12,18354) (# 9943) with respect to smaller t
• residual design of 6-(26,12,12540) (# 13513)
• residual design of supplementary of 6-(26,12,26220) (# 13515)

---

# 2833: 5-(26,13,65835)

• clan: 13-(30,15,44), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,25080) (# 2832)
• design 6-(26,13,25080) (# 9937) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,40755) (# 9939) : der= 5-(25,12,25080) and res= 5-(25,13,40755) - the given design is the residual.
• supplementary design of 6-(26,13,52440) (# 9942) with respect to smaller t
• residual design of 6-(27,13,37620) (# 13517)
• residual design of supplementary of 6-(27,13,78660) (# 13518)
• derived from 6-(27,14,65835) (# 13527)
• derived from supplementary of 6-(27,14,137655) (# 13528)

---

# 2834: 5-(26,12,37620)

• clan: 13-(30,15,44), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,12,25080) (# 2832) : der= 5-(25,11,12540) and res= 5-(25,12,25080) - the given design is the residual.
• design 6-(26,12,12540) (# 13513) with respect to smaller t
• supplementary design of 6-(26,12,26220) (# 13515) with respect to smaller t
• derived from 6-(27,13,37620) (# 13517)
• derived from supplementary of 6-(27,13,78660) (# 13518)

---

# 2835: 5-(27,13,103455)

• clan: 13-(30,15,44), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,13,65835) (# 2833) : der= 5-(26,12,37620) and res= 5-(26,13,65835) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,37620) (# 2834) : der= 5-(26,12,37620) and res= 5-(26,13,65835) - the given design is the derived.
• design 6-(27,13,37620) (# 13517) with respect to smaller t
• supplementary design of 6-(27,13,78660) (# 13518) with respect to smaller t
• derived from 6-(28,14,103455) (# 13520)
• derived from supplementary of 6-(28,14,216315) (# 13522)

---

# 2836: 5-(28,14,264385)

• clan: 13-(30,15,44), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,103455) (# 2835)
• design 6-(28,14,103455) (# 13520) with respect to smaller t
• supplementary design of 6-(28,14,216315) (# 13522) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,160930) (# 13525) : der= 5-(27,13,103455) and res= 5-(27,14,160930) - the given design is the residual.

---

# 2837: 5-(24,12,16308)

• clan: 5-(24,12,16308)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2838: 5-(24,12,16314)

• clan: 5-(24,12,16314)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2839: 5-(24,12,16320)

• clan: 5-(24,12,16320)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2840: 5-(24,12,16326)

• clan: 5-(24,12,16326)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2841: 5-(24,12,16332)

• clan: 5-(24,12,16332)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2842: 5-(24,12,16338)

• clan: 5-(24,12,16338)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2843: 5-(24,12,16344)

• clan: 5-(24,12,16344)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2844: 5-(24,12,16350)

• clan: 5-(24,12,16350)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2845: 5-(24,12,16356)

• clan: 5-(24,12,16356)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2846: 5-(24,12,16362)

• clan: 5-(24,12,16362)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2847: 5-(24,12,16368)

• clan: 5-(24,12,16368)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2848: 5-(24,12,16374)

• clan: 5-(24,12,16374)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2849: 5-(24,12,16380)

• clan: 13-(32,16,315), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2850: 5-(24,12,16386)

• clan: 5-(24,12,16386)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2851: 5-(24,12,16392)

• clan: 5-(24,12,16392)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2852: 5-(24,12,16398)

• clan: 5-(24,12,16398)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2853: 5-(24,12,16404)

• clan: 5-(24,12,16404)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2854: 5-(24,12,16410)

• clan: 5-(24,12,16410)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2855: 5-(24,12,16422)

• clan: 5-(24,12,16422)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2856: 5-(24,12,16428)

• clan: 5-(24,12,16428)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2857: 5-(24,12,16434)

• clan: 5-(24,12,16434)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2858: 5-(24,12,16440)

• clan: 5-(24,12,16440)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2859: 5-(24,12,16446)

• clan: 5-(24,12,16446)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2860: 5-(24,12,16452)

• clan: 5-(24,12,16452)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2861: 5-(24,12,16458)

• clan: 11-(30,15,1266), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2862: 5-(24,12,16464)

• clan: 5-(24,12,16464)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2863: 5-(24,12,16470)

• clan: 5-(24,12,16470)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2864: 5-(24,12,16476)

• clan: 5-(24,12,16476)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2865: 5-(24,12,16482)

• clan: 5-(24,12,16482)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2866: 5-(24,12,16488)

• clan: 5-(24,12,16488)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2867: 5-(24,12,16494)

• clan: 5-(24,12,16494)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2868: 5-(24,12,1650)

• clan: 5-(24,12,1650)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2869: 5-(24,12,16500)

• clan: 5-(24,12,16500)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2870: 5-(24,12,16506)

• clan: 5-(24,12,16506)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2871: 5-(24,12,16512)

• clan: 5-(24,12,16512)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2872: 5-(24,12,16518)

• clan: 5-(24,12,16518)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2873: 5-(24,12,16524)

• clan: 5-(24,12,16524)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2874: 5-(24,12,16530)

• clan: 7-(24,12,2030), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,6090) (# 9275)
• design 6-(24,12,6090) (# 9277) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,10440) (# 9282) : der= 5-(23,11,6090) and res= 5-(23,12,10440) - the given design is the residual.
• supplementary design of 6-(24,12,12474) (# 9286) with respect to smaller t

---

# 2875: 5-(24,12,16536)

• clan: 13-(32,16,318), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2876: 5-(24,12,16542)

• clan: 5-(24,12,16542)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2877: 5-(24,12,16548)

• clan: 5-(24,12,16548)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2878: 5-(24,12,16554)

• clan: 5-(24,12,16554)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2879: 5-(24,12,16560)

• clan: 5-(24,12,16560)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2880: 5-(24,12,16566)

• clan: 5-(24,12,16566)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2881: 5-(24,12,16572)

• clan: 5-(24,12,16572)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2882: 5-(24,12,16578)

• clan: 5-(24,12,16578)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2883: 5-(24,12,16584)

• clan: 5-(24,12,16584)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2884: 5-(24,12,16590)

• clan: 5-(24,12,16590)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2885: 5-(24,12,16596)

• clan: 5-(24,12,16596)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2886: 5-(24,12,16602)

• clan: 5-(24,12,16602)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2887: 5-(24,12,16608)

• clan: 5-(24,12,16608)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2888: 5-(24,12,16614)

• clan: 11-(30,15,1278), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2889: 5-(24,12,16620)

• clan: 5-(24,12,16620)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2890: 5-(24,12,16626)

• clan: 5-(24,12,16626)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2891: 5-(24,12,16632)

• clan: 5-(24,12,16632)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2892: 5-(24,12,16638)

• clan: 5-(24,12,16638)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2893: 5-(24,12,16644)

• clan: 7-(24,12,2044), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2894: 5-(24,12,16650)

• clan: 5-(24,12,16650)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2895: 5-(24,12,16656)

• clan: 5-(24,12,16656)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2896: 5-(24,12,16662)

• clan: 5-(24,12,16662)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2897: 5-(24,12,16668)

• clan: 5-(24,12,16668)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2898: 5-(24,12,16674)

• clan: 5-(24,12,16674)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 2899: 5-(24,12,16680)

• clan: 5-(24,12,16680)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

---

created: Fri Oct 23 11:09:53 CEST 2009