t designs with small t, id ge 3700

---

# 3700: 5-(24,12,21132)

• clan: 5-(24,12,21132)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3701: 5-(24,12,21138)

• clan: 11-(30,15,1626), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3702: 5-(24,12,21144)

• clan: 5-(24,12,21144)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3703: 5-(24,12,21150)

• clan: 5-(24,12,21150)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3704: 5-(24,12,21156)

• clan: 5-(24,12,21156)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3705: 5-(24,12,21162)

• clan: 5-(24,12,21162)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3706: 5-(24,12,21168)

• clan: 5-(24,12,21168)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3707: 5-(24,12,21174)

• clan: 5-(24,12,21174)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3708: 5-(24,12,21180)

• clan: 5-(24,12,21180)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3709: 5-(24,12,21186)

• clan: 5-(24,12,21186)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3710: 5-(24,12,21192)

• clan: 5-(24,12,21192)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3711: 5-(24,12,21198)

• clan: 5-(24,12,21198)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3712: 5-(24,12,21204)

• clan: 7-(24,12,2604), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3713: 5-(24,12,21210)

• clan: 5-(24,12,21210)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3714: 5-(24,12,21216)

• clan: 17-(36,18,8), 6 times derived, 6 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,12,11424) (# 10106)
• derived from 6-(25,13,21216) (# 10115)
• residual design of supplementary of 6-(25,12,15708) (# 10117)
• derived from supplementary of 6-(25,13,29172) (# 10118)

---

# 3715: 5-(25,12,32640)

• clan: 17-(36,18,8), 1 times reduced t, 6 times derived, 5 times residual
• Tran van Trung construction (left) for 5-(24,12,21216) (# 3714) : der= 5-(24,11,11424) and res= 5-(24,12,21216) - the given design is the residual.
• design 6-(25,12,11424) (# 10106) with respect to smaller t
• derived from 6-(26,13,32640) (# 10107)
• derived from supplementary of 6-(26,13,44880) (# 10116)
• supplementary design of 6-(25,12,15708) (# 10117) with respect to smaller t

---

# 3716: 5-(26,13,85680)

• clan: 17-(36,18,8), 2 times reduced t, 5 times derived, 5 times residual
• Tran van Trung construction with complementary design for 5-(25,12,32640) (# 3715)
• design 6-(26,13,32640) (# 10107) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,53040) (# 10112) : der= 5-(25,12,32640) and res= 5-(25,13,53040) - the given design is the residual.
• supplementary design of 6-(26,13,44880) (# 10116) with respect to smaller t

---

# 3717: 5-(26,12,48960)

• clan: 17-(36,18,8), 2 times reduced t, 6 times derived, 4 times residual
• Tran van Trung construction (left) for 5-(25,12,32640) (# 3715) : der= 5-(25,11,16320) and res= 5-(25,12,32640) - the given design is the residual.

---

# 3718: 5-(27,13,134640)

• clan: 17-(36,18,8), 3 times reduced t, 5 times derived, 4 times residual
• Tran van Trung construction (left) for 5-(26,13,85680) (# 3716) : der= 5-(26,12,48960) and res= 5-(26,13,85680) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,48960) (# 3717) : der= 5-(26,12,48960) and res= 5-(26,13,85680) - the given design is the derived.

---

# 3719: 5-(28,14,344080)

• clan: 17-(36,18,8), 4 times reduced t, 4 times derived, 4 times residual
• Tran van Trung construction with complementary design for 5-(27,13,134640) (# 3718)

---

# 3720: 5-(24,12,21222)

• clan: 5-(24,12,21222)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3721: 5-(24,12,21228)

• clan: 5-(24,12,21228)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3722: 5-(24,12,21234)

• clan: 5-(24,12,21234)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3723: 5-(24,12,21240)

• clan: 5-(24,12,21240)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3724: 5-(24,12,21246)

• clan: 5-(24,12,21246)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3725: 5-(24,12,21252)

• clan: 5-(24,12,21252)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3726: 5-(24,12,21258)

• clan: 5-(24,12,21258)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3727: 5-(24,12,21264)

• clan: 5-(24,12,21264)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3728: 5-(24,12,21270)

• clan: 5-(24,12,21270)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3729: 5-(24,12,21276)

• clan: 5-(24,12,21276)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3730: 5-(24,12,21282)

• clan: 5-(24,12,21282)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3731: 5-(24,12,21288)

• clan: 5-(24,12,21288)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3732: 5-(24,12,21294)

• clan: 11-(30,15,1638), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3733: 5-(24,12,21300)

• clan: 5-(24,12,21300)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3734: 5-(24,12,21306)

• clan: 5-(24,12,21306)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3735: 5-(24,12,21312)

• clan: 5-(24,12,21312)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3736: 5-(24,12,21318)

• clan: 8-(24,12,770), 3 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• \cite{Bluskov}

---

# 3737: 5-(24,12,21324)

• clan: 5-(24,12,21324)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3738: 5-(24,12,21330)

• clan: 5-(24,12,21330)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3739: 5-(24,12,21336)

• clan: 5-(24,12,21336)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3740: 5-(24,12,21342)

• clan: 5-(24,12,21342)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3741: 5-(24,12,21348)

• clan: 5-(24,12,21348)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3742: 5-(24,12,21354)

• clan: 5-(24,12,21354)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3743: 5-(24,12,21360)

• clan: 5-(24,12,21360)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3744: 5-(24,12,21366)

• clan: 5-(24,12,21366)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3745: 5-(24,12,21372)

• clan: 13-(32,16,411), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3746: 5-(24,12,21378)

• clan: 5-(24,12,21378)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3747: 5-(24,12,21384)

• clan: 5-(24,12,21384)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3748: 5-(24,12,21390)

• clan: 5-(24,12,21390)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3749: 5-(24,12,21396)

• clan: 5-(24,12,21396)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3750: 5-(24,12,21402)

• clan: 5-(24,12,21402)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3751: 5-(24,12,21408)

• clan: 5-(24,12,21408)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3752: 5-(24,12,21414)

• clan: 5-(24,12,21414)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3753: 5-(24,12,2142)

• clan: 5-(24,12,2142)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3754: 5-(24,12,21420)

• clan: 5-(24,12,21420)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3755: 5-(24,12,21426)

• clan: 5-(24,12,21426)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3756: 5-(24,12,21432)

• clan: 7-(24,12,2632), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• design 6-(24,12,7896) (# 9808) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,7896) (# 9809)
• Tran van Trung construction (right) for 5-(23,11,7896) (# 9809) : der= 5-(23,11,7896) and res= 5-(23,12,13536) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,13536) (# 9810) : der= 5-(23,11,7896) and res= 5-(23,12,13536) - the given design is the residual.

---

# 3757: 5-(24,12,21438)

• clan: 5-(24,12,21438)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3758: 5-(24,12,21444)

• clan: 5-(24,12,21444)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3759: 5-(24,12,21450)

• clan: 11-(30,15,1650), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,12,11550) (# 10122)
• derived from 6-(25,13,21450) (# 10135)
• residual design of supplementary of 6-(25,12,15582) (# 10137)
• derived from supplementary of 6-(25,13,28938) (# 10138)

---

# 3760: 5-(24,12,21456)

• clan: 5-(24,12,21456)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3761: 5-(24,12,21462)

• clan: 5-(24,12,21462)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3762: 5-(24,12,21468)

• clan: 5-(24,12,21468)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3763: 5-(24,12,21474)

• clan: 5-(24,12,21474)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3764: 5-(24,12,21480)

• clan: 5-(24,12,21480)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3765: 5-(24,12,21486)

• clan: 5-(24,12,21486)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3766: 5-(24,12,21492)

• clan: 5-(24,12,21492)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3767: 5-(24,12,21498)

• clan: 5-(24,12,21498)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3768: 5-(24,12,21504)

• clan: 5-(24,12,21504)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3769: 5-(24,12,21510)

• clan: 5-(24,12,21510)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3770: 5-(24,12,21516)

• clan: 5-(24,12,21516)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3771: 5-(24,12,21522)

• clan: 5-(24,12,21522)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3772: 5-(24,12,21528)

• clan: 13-(32,16,414), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3773: 5-(24,12,21534)

• clan: 5-(24,12,21534)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3774: 5-(24,12,21540)

• clan: 5-(24,12,21540)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3775: 5-(24,12,21546)

• clan: 7-(24,12,2646), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,7938) (# 9532)
• design 6-(24,12,7938) (# 9534) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,13608) (# 9539) : der= 5-(23,11,7938) and res= 5-(23,12,13608) - the given design is the residual.
• supplementary design of 6-(24,12,10626) (# 9543) with respect to smaller t

---

# 3776: 5-(24,12,21552)

• clan: 5-(24,12,21552)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3777: 5-(24,12,21558)

• clan: 5-(24,12,21558)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3778: 5-(24,12,21564)

• clan: 5-(24,12,21564)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3779: 5-(24,12,21570)

• clan: 5-(24,12,21570)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3780: 5-(24,12,21576)

• clan: 5-(24,12,21576)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3781: 5-(24,12,21582)

• clan: 5-(24,12,21582)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3782: 5-(24,12,21588)

• clan: 5-(24,12,21588)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3783: 5-(24,12,21594)

• clan: 5-(24,12,21594)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3784: 5-(24,12,2160)

• clan: 5-(24,12,2160)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3785: 5-(24,12,21600)

• clan: 5-(24,12,21600)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3786: 5-(24,12,21606)

• clan: 11-(30,15,1662), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3787: 5-(24,12,21612)

• clan: 5-(24,12,21612)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3788: 5-(24,12,21618)

• clan: 5-(24,12,21618)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3789: 5-(24,12,21624)

• clan: 5-(24,12,21624)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3790: 5-(24,12,21630)

• clan: 5-(24,12,21630)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3791: 5-(24,12,21636)

• clan: 5-(24,12,21636)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3792: 5-(24,12,21642)

• clan: 5-(24,12,21642)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3793: 5-(24,12,21648)

• clan: 5-(24,12,21648)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3794: 5-(24,12,21654)

• clan: 5-(24,12,21654)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3795: 5-(24,12,21660)

• clan: 7-(24,12,2660), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,7980) (# 9550)
• design 6-(24,12,7980) (# 9552) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,13680) (# 9557) : der= 5-(23,11,7980) and res= 5-(23,12,13680) - the given design is the residual.
• supplementary design of 6-(24,12,10584) (# 9561) with respect to smaller t

---

# 3796: 5-(24,12,21666)

• clan: 5-(24,12,21666)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3797: 5-(24,12,21672)

• clan: 5-(24,12,21672)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3798: 5-(24,12,21678)

• clan: 5-(24,12,21678)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 3799: 5-(24,12,21684)

• clan: 13-(32,16,417), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

---

created: Fri Oct 23 11:09:58 CEST 2009