t designs with small t, id ge 4300

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# 4300: 5-(24,12,24600)

• clan: 5-(24,12,24600)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4301: 5-(24,12,24606)

• clan: 5-(24,12,24606)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4302: 5-(24,12,24612)

• clan: 5-(24,12,24612)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4303: 5-(24,12,24618)

• clan: 5-(24,12,24618)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4304: 5-(24,12,24624)

• clan: 7-(24,12,3024), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4305: 5-(24,12,24630)

• clan: 5-(24,12,24630)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4306: 5-(24,12,24636)

• clan: 5-(24,12,24636)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4307: 5-(24,12,24642)

• clan: 5-(24,12,24642)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4308: 5-(24,12,24648)

• clan: 13-(32,16,474), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,12,13272) (# 10334)
• derived from 6-(25,13,24648) (# 10347)
• residual design of supplementary of 6-(25,12,13860) (# 10349)
• derived from supplementary of 6-(25,13,25740) (# 10350)

---

# 4309: 5-(24,12,24654)

• clan: 5-(24,12,24654)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4310: 5-(24,12,24660)

• clan: 5-(24,12,24660)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4311: 5-(24,12,24666)

• clan: 5-(24,12,24666)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4312: 5-(24,12,24672)

• clan: 5-(24,12,24672)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4313: 5-(24,12,24678)

• clan: 5-(24,12,24678)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4314: 5-(24,12,24684)

• clan: 5-(24,12,24684)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4315: 5-(24,12,24690)

• clan: 5-(24,12,24690)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4316: 5-(24,12,24696)

• clan: 5-(24,12,24696)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4317: 5-(24,12,24702)

• clan: 5-(24,12,24702)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4318: 5-(24,12,24708)

• clan: 5-(24,12,24708)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4319: 5-(24,12,24714)

• clan: 5-(24,12,24714)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4320: 5-(24,12,2472)

• clan: 5-(24,12,2472)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4321: 5-(24,12,24720)

• clan: 5-(24,12,24720)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4322: 5-(24,12,24726)

• clan: 11-(30,15,1902), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4323: 5-(24,12,24732)

• clan: 5-(24,12,24732)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4324: 5-(24,12,24738)

• clan: 7-(24,12,3038), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,9114) (# 9688)
• design 6-(24,12,9114) (# 9690) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,15624) (# 9694) : der= 5-(23,11,9114) and res= 5-(23,12,15624) - the given design is the residual.
• supplementary design of 6-(24,12,9450) (# 9698) with respect to smaller t

---

# 4325: 5-(24,12,24744)

• clan: 5-(24,12,24744)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4326: 5-(24,12,24750)

• clan: 5-(24,12,24750)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4327: 5-(24,12,24756)

• clan: 5-(24,12,24756)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4328: 5-(24,12,24762)

• clan: 5-(24,12,24762)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4329: 5-(24,12,24768)

• clan: 5-(24,12,24768)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4330: 5-(24,12,24774)

• clan: 5-(24,12,24774)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4331: 5-(24,12,24780)

• clan: 5-(24,12,24780)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4332: 5-(24,12,24786)

• clan: 5-(24,12,24786)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4333: 5-(24,12,24792)

• clan: 5-(24,12,24792)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4334: 5-(24,12,24798)

• clan: 5-(24,12,24798)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4335: 5-(24,12,24804)

• clan: 13-(32,16,477), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4336: 5-(24,12,24810)

• clan: 5-(24,12,24810)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4337: 5-(24,12,24816)

• clan: 5-(24,12,24816)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4338: 5-(24,12,24822)

• clan: 5-(24,12,24822)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4339: 5-(24,12,24828)

• clan: 5-(24,12,24828)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4340: 5-(24,12,24834)

• clan: 5-(24,12,24834)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4341: 5-(24,12,24840)

• clan: 5-(24,12,24840)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4342: 5-(24,12,24846)

• clan: 5-(24,12,24846)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4343: 5-(24,12,24852)

• clan: 7-(24,12,3052), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4344: 5-(24,12,24858)

• clan: 5-(24,12,24858)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4345: 5-(24,12,24864)

• clan: 5-(24,12,24864)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4346: 5-(24,12,24870)

• clan: 5-(24,12,24870)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4347: 5-(24,12,24876)

• clan: 5-(24,12,24876)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4348: 5-(24,12,24882)

• clan: 11-(30,15,1914), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,12,13398) (# 10368)
• derived from 6-(25,13,24882) (# 10381)
• residual design of supplementary of 6-(25,12,13734) (# 10383)
• derived from supplementary of 6-(25,13,25506) (# 10384)

---

# 4349: 5-(24,12,24888)

• clan: 5-(24,12,24888)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4350: 5-(24,12,24894)

• clan: 5-(24,12,24894)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4351: 5-(24,12,2490)

• clan: 5-(24,12,2490)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4352: 5-(24,12,24900)

• clan: 5-(24,12,24900)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4353: 5-(24,12,24906)

• clan: 5-(24,12,24906)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4354: 5-(24,12,24912)

• clan: 5-(24,12,24912)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4355: 5-(24,12,24918)

• clan: 5-(24,12,24918)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4356: 5-(24,12,24924)

• clan: 5-(24,12,24924)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4357: 5-(24,12,24930)

• clan: 5-(24,12,24930)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4358: 5-(24,12,24936)

• clan: 5-(24,12,24936)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4359: 5-(24,12,24942)

• clan: 5-(24,12,24942)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4360: 5-(24,12,24948)

• clan: 5-(24,12,24948)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4361: 5-(24,12,24954)

• clan: 5-(24,12,24954)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4362: 5-(24,12,24960)

• clan: 13-(32,16,480), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4363: 5-(24,12,24966)

• clan: 7-(24,12,3066), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4364: 5-(24,12,24972)

• clan: 5-(24,12,24972)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4365: 5-(24,12,24978)

• clan: 5-(24,12,24978)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4366: 5-(24,12,24984)

• clan: 5-(24,12,24984)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4367: 5-(24,12,24990)

• clan: 5-(24,12,24990)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4368: 5-(24,12,24996)

• clan: 5-(24,12,24996)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4369: 5-(24,12,25002)

• clan: 5-(24,12,25002)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4370: 5-(24,12,25008)

• clan: 5-(24,12,25008)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4371: 5-(24,12,25014)

• clan: 5-(24,12,25014)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4372: 5-(24,12,25020)

• clan: 5-(24,12,25020)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4373: 5-(24,12,25026)

• clan: 5-(24,12,25026)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4374: 5-(24,12,25032)

• clan: 5-(24,12,25032)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4375: 5-(24,12,25038)

• clan: 11-(30,15,1926), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4376: 5-(24,12,25044)

• clan: 5-(24,12,25044)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4377: 5-(24,12,25050)

• clan: 5-(24,12,25050)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4378: 5-(24,12,25056)

• clan: 5-(24,12,25056)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4379: 5-(24,12,25062)

• clan: 5-(24,12,25062)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4380: 5-(24,12,25068)

• clan: 5-(24,12,25068)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4381: 5-(24,12,25074)

• clan: 5-(24,12,25074)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4382: 5-(24,12,25080)

• clan: 7-(24,12,3080), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,9240) (# 9705)
• design 6-(24,12,9240) (# 9707) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,15840) (# 9711) : der= 5-(23,11,9240) and res= 5-(23,12,15840) - the given design is the residual.
• supplementary design of 6-(24,12,9324) (# 9715) with respect to smaller t

---

# 4383: 5-(24,12,25086)

• clan: 5-(24,12,25086)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4384: 5-(24,12,25092)

• clan: 5-(24,12,25092)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4385: 5-(24,12,25098)

• clan: 5-(24,12,25098)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4386: 5-(24,12,25104)

• clan: 5-(24,12,25104)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4387: 5-(24,12,25110)

• clan: 5-(24,12,25110)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4388: 5-(24,12,25116)

• clan: 13-(32,16,483), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,12,13524) (# 13739)
• residual design of supplementary of 6-(25,12,13608) (# 13742)
• derived from 6-(25,13,25116) (# 13757)
• derived from supplementary of 6-(25,13,25272) (# 13758)

---

# 4389: 5-(24,12,25122)

• clan: 5-(24,12,25122)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 4390: 5-(24,12,25128)

• clan: 5-(24,12,25128)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 4391: 5-(24,12,25134)

• clan: 5-(24,12,25134)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4392: 5-(24,12,25140)

• clan: 5-(24,12,25140)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4393: 5-(24,12,25146)

• clan: 5-(24,12,25146)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4394: 5-(24,12,25152)

• clan: 5-(24,12,25152)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4395: 5-(24,12,25158)

• clan: 5-(24,12,25158)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4396: 5-(24,12,25164)

• clan: 5-(24,12,25164)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4397: 5-(24,12,25170)

• clan: 5-(24,12,25170)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4398: 5-(24,12,25176)

• clan: 5-(24,12,25176)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 4399: 5-(24,12,25182)

• clan: 5-(24,12,25182)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

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