t designs with small t, id ge 12300

---

# 12300: 6-(31,9,300)

• clan: 21-(44,22,3), 2 times reduced t, 13 times derived
• $PGL(3,5)$ (56 isom. types)

---

# 12301: 5-(31,9,13000)

• clan: 21-(44,22,20), 3 times reduced t, 13 times derived
• supplementary design of 6-(31,9,300) (# 12300) with respect to smaller t
• Tran van Trung construction (right) for 5-(30,8,2000) (# 12302) : der= 5-(30,8,2000) and res= 5-(30,9,11000) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,9,11000) (# 12303) : der= 5-(30,8,2000) and res= 5-(30,9,11000) - the given design is the residual.

---

# 12302: 5-(30,8,2000)

• clan: 21-(44,22,20), 2 times reduced t, 14 times derived
• derived from supplementary of 6-(31,9,300) (# 12300)

---

# 12303: 5-(30,9,11000)

• clan: 21-(44,22,20), 2 times reduced t, 13 times derived, 1 times residual
• residual design of supplementary of 6-(31,9,300) (# 12300)

---

# 12304: 6-(31,9,480)

• clan: 19-(44,22,480), 13 times derived
• $P\Gamma L(2,27) + S_3$

---

# 12305: 5-(31,9,3120)

• clan: 19-(44,22,480), 1 times reduced t, 13 times derived
• design 6-(31,9,480) (# 12304) with respect to smaller t
• Tran van Trung construction (right) for 5-(30,8,480) (# 12306) : der= 5-(30,8,480) and res= 5-(30,9,2640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,9,2640) (# 12307) : der= 5-(30,8,480) and res= 5-(30,9,2640) - the given design is the residual.

---

# 12306: 5-(30,8,480)

• clan: 19-(44,22,480), 14 times derived
• derived from 6-(31,9,480) (# 12304)

---

# 12307: 5-(30,9,2640)

• clan: 19-(44,22,480), 13 times derived, 1 times residual
• residual design of 6-(31,9,480) (# 12304)

---

# 12308: 5-(31,9,11830)

• clan: 19-(44,22,1820), 1 times reduced t, 13 times derived
• supplementary design of 6-(31,9,480) (# 12304) with respect to smaller t
• Tran van Trung construction (right) for 5-(30,8,1820) (# 12309) : der= 5-(30,8,1820) and res= 5-(30,9,10010) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,9,10010) (# 12310) : der= 5-(30,8,1820) and res= 5-(30,9,10010) - the given design is the residual.

---

# 12309: 5-(30,8,1820)

• clan: 19-(44,22,1820), 14 times derived
• derived from supplementary of 6-(31,9,480) (# 12304)

---

# 12310: 5-(30,9,10010)

• clan: 19-(44,22,1820), 13 times derived, 1 times residual
• residual design of supplementary of 6-(31,9,480) (# 12304)

---

# 12311: 6-(32,10,5280)

• clan: 8-(34,12,5280), 2 times derived
• $AGL(4,2)\times C_2$

---

# 12312: 5-(32,10,28512)

• clan: 8-(34,12,5280), 1 times reduced t, 2 times derived
• design 6-(32,10,5280) (# 12311) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,5280) (# 12313) : der= 5-(31,9,5280) and res= 5-(31,10,23232) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,23232) (# 12314) : der= 5-(31,9,5280) and res= 5-(31,10,23232) - the given design is the residual.

---

# 12313: 5-(31,9,5280)

• clan: 8-(34,12,5280), 3 times derived
• derived from 6-(32,10,5280) (# 12311)

---

# 12314: 5-(31,10,23232)

• clan: 8-(34,12,5280), 2 times derived, 1 times residual
• residual design of 6-(32,10,5280) (# 12311)

---

# 12315: 5-(32,10,52218)

• clan: 8-(34,12,9670), 1 times reduced t, 2 times derived
• supplementary design of 6-(32,10,5280) (# 12311) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,9670) (# 12316) : der= 5-(31,9,9670) and res= 5-(31,10,42548) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,42548) (# 12317) : der= 5-(31,9,9670) and res= 5-(31,10,42548) - the given design is the residual.

---

# 12316: 5-(31,9,9670)

• clan: 8-(34,12,9670), 3 times derived
• derived from supplementary of 6-(32,10,5280) (# 12311)

---

# 12317: 5-(31,10,42548)

• clan: 8-(34,12,9670), 2 times derived, 1 times residual
• residual design of supplementary of 6-(32,10,5280) (# 12311)

---

# 12318: 6-(32,10,6240)

• clan: 19-(44,22,960), 1 times reduced t, 12 times derived
• $AGL(4,2)\times C_2$

---

# 12319: 5-(32,10,33696)

• clan: 19-(44,22,960), 2 times reduced t, 12 times derived
• design 6-(32,10,6240) (# 12318) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,6240) (# 12320) : der= 5-(31,9,6240) and res= 5-(31,10,27456) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,27456) (# 12321) : der= 5-(31,9,6240) and res= 5-(31,10,27456) - the given design is the residual.

---

# 12320: 5-(31,9,6240)

• clan: 19-(44,22,960), 1 times reduced t, 13 times derived
• derived from 6-(32,10,6240) (# 12318)

---

# 12321: 5-(31,10,27456)

• clan: 19-(44,22,960), 1 times reduced t, 12 times derived, 1 times residual
• residual design of 6-(32,10,6240) (# 12318)

---

# 12322: 5-(32,10,47034)

• clan: 19-(44,22,1340), 2 times reduced t, 12 times derived
• supplementary design of 6-(32,10,6240) (# 12318) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,8710) (# 12323) : der= 5-(31,9,8710) and res= 5-(31,10,38324) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,38324) (# 12324) : der= 5-(31,9,8710) and res= 5-(31,10,38324) - the given design is the residual.

---

# 12323: 5-(31,9,8710)

• clan: 19-(44,22,1340), 1 times reduced t, 13 times derived
• derived from supplementary of 6-(32,10,6240) (# 12318)

---

# 12324: 5-(31,10,38324)

• clan: 19-(44,22,1340), 1 times reduced t, 12 times derived, 1 times residual
• residual design of supplementary of 6-(32,10,6240) (# 12318)

---

# 12325: 6-(32,10,6390)

• clan: 8-(34,12,6390), 2 times derived
• $AGL(4,2)\times C_2$

---

# 12326: 5-(32,10,34506)

• clan: 8-(34,12,6390), 1 times reduced t, 2 times derived
• design 6-(32,10,6390) (# 12325) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,6390) (# 12327) : der= 5-(31,9,6390) and res= 5-(31,10,28116) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,28116) (# 12328) : der= 5-(31,9,6390) and res= 5-(31,10,28116) - the given design is the residual.

---

# 12327: 5-(31,9,6390)

• clan: 8-(34,12,6390), 3 times derived
• derived from 6-(32,10,6390) (# 12325)

---

# 12328: 5-(31,10,28116)

• clan: 8-(34,12,6390), 2 times derived, 1 times residual
• residual design of 6-(32,10,6390) (# 12325)

---

# 12329: 5-(32,10,46224)

• clan: 8-(34,12,8560), 1 times reduced t, 2 times derived
• supplementary design of 6-(32,10,6390) (# 12325) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,8560) (# 12330) : der= 5-(31,9,8560) and res= 5-(31,10,37664) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,37664) (# 12331) : der= 5-(31,9,8560) and res= 5-(31,10,37664) - the given design is the residual.

---

# 12330: 5-(31,9,8560)

• clan: 8-(34,12,8560), 3 times derived
• derived from supplementary of 6-(32,10,6390) (# 12325)

---

# 12331: 5-(31,10,37664)

• clan: 8-(34,12,8560), 2 times derived, 1 times residual
• residual design of supplementary of 6-(32,10,6390) (# 12325)

---

# 12332: 6-(32,10,6870)

• clan: 8-(34,12,6870), 2 times derived
• $AGL(4,2)\times C_2$

---

# 12333: 5-(32,10,37098)

• clan: 8-(34,12,6870), 1 times reduced t, 2 times derived
• design 6-(32,10,6870) (# 12332) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,6870) (# 12334) : der= 5-(31,9,6870) and res= 5-(31,10,30228) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,30228) (# 12335) : der= 5-(31,9,6870) and res= 5-(31,10,30228) - the given design is the residual.

---

# 12334: 5-(31,9,6870)

• clan: 8-(34,12,6870), 3 times derived
• derived from 6-(32,10,6870) (# 12332)

---

# 12335: 5-(31,10,30228)

• clan: 8-(34,12,6870), 2 times derived, 1 times residual
• residual design of 6-(32,10,6870) (# 12332)

---

# 12336: 5-(32,10,43632)

• clan: 8-(34,12,8080), 1 times reduced t, 2 times derived
• supplementary design of 6-(32,10,6870) (# 12332) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,8080) (# 12337) : der= 5-(31,9,8080) and res= 5-(31,10,35552) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,35552) (# 12338) : der= 5-(31,9,8080) and res= 5-(31,10,35552) - the given design is the residual.

---

# 12337: 5-(31,9,8080)

• clan: 8-(34,12,8080), 3 times derived
• derived from supplementary of 6-(32,10,6870) (# 12332)

---

# 12338: 5-(31,10,35552)

• clan: 8-(34,12,8080), 2 times derived, 1 times residual
• residual design of supplementary of 6-(32,10,6870) (# 12332)

---

# 12339: 6-(32,10,7440)

• clan: 8-(34,12,7440), 2 times derived
• $AGL(4,2)\times C_2$

---

# 12340: 5-(32,10,40176)

• clan: 8-(34,12,7440), 1 times reduced t, 2 times derived
• design 6-(32,10,7440) (# 12339) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,7440) (# 12341) : der= 5-(31,9,7440) and res= 5-(31,10,32736) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,32736) (# 12342) : der= 5-(31,9,7440) and res= 5-(31,10,32736) - the given design is the residual.

---

# 12341: 5-(31,9,7440)

• clan: 8-(34,12,7440), 3 times derived
• derived from 6-(32,10,7440) (# 12339)

---

# 12342: 5-(31,10,32736)

• clan: 8-(34,12,7440), 2 times derived, 1 times residual
• residual design of 6-(32,10,7440) (# 12339)

---

# 12343: 5-(32,10,40554)

• clan: 8-(34,12,7510), 1 times reduced t, 2 times derived
• supplementary design of 6-(32,10,7440) (# 12339) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,7510) (# 12344) : der= 5-(31,9,7510) and res= 5-(31,10,33044) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,33044) (# 12345) : der= 5-(31,9,7510) and res= 5-(31,10,33044) - the given design is the residual.

---

# 12344: 5-(31,9,7510)

• clan: 8-(34,12,7510), 3 times derived
• derived from supplementary of 6-(32,10,7440) (# 12339)

---

# 12345: 5-(31,10,33044)

• clan: 8-(34,12,7510), 2 times derived, 1 times residual
• residual design of supplementary of 6-(32,10,7440) (# 12339)

---

# 12346: 6-(32,10,7590)

• clan: 10-(36,12,165), 2 times derived, 2 times residual
• $AGL(4,2)\times C_2$

---

# 12347: 5-(32,10,40986)

• clan: 10-(36,12,165), 1 times reduced t, 2 times derived, 2 times residual
• design 6-(32,10,7590) (# 12346) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,7590) (# 12348) : der= 5-(31,9,7590) and res= 5-(31,10,33396) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,33396) (# 12349) : der= 5-(31,9,7590) and res= 5-(31,10,33396) - the given design is the residual.
• residual design of 6-(33,10,8910) (# 16281)
• residual design of supplementary of 6-(33,10,8640) (# 16618)

---

# 12348: 5-(31,9,7590)

• clan: 10-(36,12,165), 3 times derived, 2 times residual
• derived from 6-(32,10,7590) (# 12346)
• residual design of supplementary of 6-(32,9,1280) (# 16273)
• residual design of 6-(32,9,1320) (# 16276)

---

# 12349: 5-(31,10,33396)

• clan: 10-(36,12,165), 2 times derived, 3 times residual
• residual design of 6-(32,10,7590) (# 12346)

---

# 12350: 5-(32,10,39744)

• clan: 10-(36,12,160), 1 times reduced t, 2 times derived, 2 times residual
• supplementary design of 6-(32,10,7590) (# 12346) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,7360) (# 12351) : der= 5-(31,9,7360) and res= 5-(31,10,32384) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,32384) (# 12352) : der= 5-(31,9,7360) and res= 5-(31,10,32384) - the given design is the residual.
• residual design of supplementary of 6-(33,10,8910) (# 16281)
• residual design of 6-(33,10,8640) (# 16618)

---

# 12351: 5-(31,9,7360)

• clan: 10-(36,12,160), 3 times derived, 2 times residual
• derived from supplementary of 6-(32,10,7590) (# 12346)
• residual design of 6-(32,9,1280) (# 16273)
• residual design of supplementary of 6-(32,9,1320) (# 16276)

---

# 12352: 5-(31,10,32384)

• clan: 10-(36,12,160), 2 times derived, 3 times residual
• residual design of supplementary of 6-(32,10,7590) (# 12346)

---

# 12353: 6-(32,7,6)

• clan: 11-(37,12,6), 5 times derived
• $PSL(2,31)$ (>=18) \cite{Bettenetal97b}

---

# 12354: 5-(31,6,6)

• clan: 11-(37,12,6), 6 times derived
• derived from 6-(32,7,6) (# 12353)

---

# 12355: 5-(31,7,75)

• clan: 11-(37,12,6), 5 times derived, 1 times residual
• residual design of 6-(32,7,6) (# 12353)

---

# 12356: 5-(32,7,270)

• clan: 11-(37,12,20), 1 times reduced t, 5 times derived
• supplementary design of 6-(32,7,6) (# 12353) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,6,20) (# 12357) : der= 5-(31,6,20) and res= 5-(31,7,250) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,7,250) (# 12358) : der= 5-(31,6,20) and res= 5-(31,7,250) - the given design is the residual.

---

# 12357: 5-(31,6,20)

• clan: 11-(37,12,20), 6 times derived
• derived from supplementary of 6-(32,7,6) (# 12353)

---

# 12358: 5-(31,7,250)

• clan: 11-(37,12,20), 5 times derived, 1 times residual
• residual design of supplementary of 6-(32,7,6) (# 12353)

---

# 12359: 6-(33,10,450)

• clan: 10-(37,12,9), 2 times derived, 2 times residual
• $P\Gamma L(2,32)$

---

# 12360: 5-(33,10,2520)

• clan: 10-(37,12,9), 1 times reduced t, 2 times derived, 2 times residual
• design 6-(33,10,450) (# 12359) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,450) (# 12361) : der= 5-(32,9,450) and res= 5-(32,10,2070) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,2070) (# 12362) : der= 5-(32,9,450) and res= 5-(32,10,2070) - the given design is the residual.

---

# 12361: 5-(32,9,450)

• clan: 10-(37,12,9), 3 times derived, 2 times residual
• derived from 6-(33,10,450) (# 12359)

---

# 12362: 5-(32,10,2070)

• clan: 10-(37,12,9), 2 times derived, 3 times residual
• residual design of 6-(33,10,450) (# 12359)

---

# 12363: 5-(33,10,95760)

• clan: 10-(37,12,342), 1 times reduced t, 2 times derived, 2 times residual
• supplementary design of 6-(33,10,450) (# 12359) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,17100) (# 12364) : der= 5-(32,9,17100) and res= 5-(32,10,78660) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,78660) (# 12365) : der= 5-(32,9,17100) and res= 5-(32,10,78660) - the given design is the residual.

---

# 12364: 5-(32,9,17100)

• clan: 10-(37,12,342), 3 times derived, 2 times residual
• derived from supplementary of 6-(33,10,450) (# 12359)

---

# 12365: 5-(32,10,78660)

• clan: 10-(37,12,342), 2 times derived, 3 times residual
• residual design of supplementary of 6-(33,10,450) (# 12359)

---

# 12366: 5-(33,9,525)

• clan: 10-(37,12,9), 1 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(32,9,450) (# 12361) : der= 5-(32,8,75) and res= 5-(32,9,450) - the given design is the residual.

---

# 12367: 5-(34,10,3045)

• clan: 10-(37,12,9), 2 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(33,9,525) (# 12366) : der= 5-(33,9,525) and res= 5-(33,10,2520) - the given design is the derived.

---

# 12368: 6-(33,10,1350)

• clan: 11-(37,12,2), 1 times reduced t, 2 times derived, 2 times residual
• $P\Gamma L(2,32)$ $LS[13](6,10,33)$

---

# 12369: 5-(33,10,7560)

• clan: 11-(37,12,2), 2 times reduced t, 2 times derived, 2 times residual
• design 6-(33,10,1350) (# 12368) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,1350) (# 12370) : der= 5-(32,9,1350) and res= 5-(32,10,6210) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,6210) (# 12371) : der= 5-(32,9,1350) and res= 5-(32,10,6210) - the given design is the residual.
• residual design of 6-(34,10,1575) (# 12543)

---

# 12370: 5-(32,9,1350)

• clan: 11-(37,12,2), 1 times reduced t, 3 times derived, 2 times residual
• derived from 6-(33,10,1350) (# 12368)
• residual design of 6-(33,9,225) (# 12540)

---

# 12371: 5-(32,10,6210)

• clan: 11-(37,12,2), 1 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(33,10,1350) (# 12368)

---

# 12372: 5-(33,10,90720)

• clan: 11-(37,12,24), 2 times reduced t, 2 times derived, 2 times residual
• supplementary design of 6-(33,10,1350) (# 12368) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,16200) (# 12373) : der= 5-(32,9,16200) and res= 5-(32,10,74520) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,74520) (# 12374) : der= 5-(32,9,16200) and res= 5-(32,10,74520) - the given design is the residual.
• residual design of supplementary of 6-(34,10,1575) (# 12543)

---

# 12373: 5-(32,9,16200)

• clan: 11-(37,12,24), 1 times reduced t, 3 times derived, 2 times residual
• derived from supplementary of 6-(33,10,1350) (# 12368)
• residual design of supplementary of 6-(33,9,225) (# 12540)

---

# 12374: 5-(32,10,74520)

• clan: 11-(37,12,24), 1 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(33,10,1350) (# 12368)

---

# 12375: 5-(33,9,1575)

• clan: 11-(37,12,2), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(32,9,1350) (# 12370) : der= 5-(32,8,225) and res= 5-(32,9,1350) - the given design is the residual.
• design 6-(33,9,225) (# 12540) with respect to smaller t
• derived from 6-(34,10,1575) (# 12543)

---

# 12376: 5-(34,10,9135)

• clan: 11-(37,12,2), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(33,9,1575) (# 12375) : der= 5-(33,9,1575) and res= 5-(33,10,7560) - the given design is the derived.
• design 6-(34,10,1575) (# 12543) with respect to smaller t

---

# 12377: 6-(33,10,3150)

• clan: 10-(37,12,63), 2 times derived, 2 times residual
• $P\Gamma L(2,32)$
• residual design of 7-(34,10,525) (# 16340)

---

# 12378: 5-(33,10,17640)

• clan: 10-(37,12,63), 1 times reduced t, 2 times derived, 2 times residual
• design 6-(33,10,3150) (# 12377) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,3150) (# 12379) : der= 5-(32,9,3150) and res= 5-(32,10,14490) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,14490) (# 12380) : der= 5-(32,9,3150) and res= 5-(32,10,14490) - the given design is the residual.
• residual design of 6-(34,10,3675) (# 12744)
• residual design of supplementary of 6-(34,10,16800) (# 16342)
• supplementary design of 6-(33,10,14400) (# 16344) with respect to smaller t

---

# 12379: 5-(32,9,3150)

• clan: 10-(37,12,63), 3 times derived, 2 times residual
• derived from 6-(33,10,3150) (# 12377)
• residual design of 6-(33,9,525) (# 16341)
• residual design of supplementary of 6-(33,9,2400) (# 16343)
• derived from supplementary of 6-(33,10,14400) (# 16344)

---

# 12380: 5-(32,10,14490)

• clan: 10-(37,12,63), 2 times derived, 3 times residual
• residual design of 6-(33,10,3150) (# 12377)
• residual design of supplementary of 6-(33,10,14400) (# 16344)

---

# 12381: 5-(33,10,80640)

• clan: 10-(37,12,288), 1 times reduced t, 2 times derived, 2 times residual
• supplementary design of 6-(33,10,3150) (# 12377) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,14400) (# 12382) : der= 5-(32,9,14400) and res= 5-(32,10,66240) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,66240) (# 12383) : der= 5-(32,9,14400) and res= 5-(32,10,66240) - the given design is the residual.
• residual design of supplementary of 6-(34,10,3675) (# 12744)
• residual design of 6-(34,10,16800) (# 16342)
• design 6-(33,10,14400) (# 16344) with respect to smaller t

---

# 12382: 5-(32,9,14400)

• clan: 10-(37,12,288), 3 times derived, 2 times residual
• derived from supplementary of 6-(33,10,3150) (# 12377)
• residual design of supplementary of 6-(33,9,525) (# 16341)
• residual design of 6-(33,9,2400) (# 16343)
• derived from 6-(33,10,14400) (# 16344)

---

# 12383: 5-(32,10,66240)

• clan: 10-(37,12,288), 2 times derived, 3 times residual
• residual design of supplementary of 6-(33,10,3150) (# 12377)
• residual design of 6-(33,10,14400) (# 16344)

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# 12384: 5-(33,9,3675)

• clan: 10-(37,12,63), 1 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(32,9,3150) (# 12379) : der= 5-(32,8,525) and res= 5-(32,9,3150) - the given design is the residual.
• derived from 6-(34,10,3675) (# 12744)
• design 6-(33,9,525) (# 16341) with respect to smaller t
• derived from supplementary of 6-(34,10,16800) (# 16342)
• supplementary design of 6-(33,9,2400) (# 16343) with respect to smaller t

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# 12385: 5-(34,9,4263)

• clan: 10-(37,12,63), 2 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(33,9,3675) (# 12384) : der= 5-(33,8,588) and res= 5-(33,9,3675) - the given design is the residual.

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# 12386: 5-(34,10,21315)

• clan: 10-(37,12,63), 2 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(33,9,3675) (# 12384) : der= 5-(33,9,3675) and res= 5-(33,10,17640) - the given design is the derived.
• design 6-(34,10,3675) (# 12744) with respect to smaller t
• supplementary design of 6-(34,10,16800) (# 16342) with respect to smaller t

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# 12387: 5-(35,10,25578)

• clan: 10-(37,12,63), 3 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(34,9,4263) (# 12385) : der= 5-(34,9,4263) and res= 5-(34,10,21315) - the given design is the derived.
• Tran van Trung construction (left) for 5-(34,10,21315) (# 12386) : der= 5-(34,9,4263) and res= 5-(34,10,21315) - the given design is the residual.

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# 12388: 6-(33,10,3510)

• clan: 23-(48,24,5), 2 times reduced t, 14 times derived, 1 times residual
• $P\Gamma L(2,32)$ 3 disjoint

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# 12389: 5-(33,10,19656)

• clan: 23-(48,24,5), 3 times reduced t, 14 times derived, 1 times residual
• design 6-(33,10,3510) (# 12388) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,3510) (# 12390) : der= 5-(32,9,3510) and res= 5-(32,10,16146) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,16146) (# 12391) : der= 5-(32,9,3510) and res= 5-(32,10,16146) - the given design is the residual.
• residual design of 6-(34,10,4095) (# 12610)

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# 12390: 5-(32,9,3510)

• clan: 23-(48,24,5), 2 times reduced t, 15 times derived, 1 times residual
• derived from 6-(33,10,3510) (# 12388)
• residual design of 6-(33,9,585) (# 12607)
• design 6-(32,9,520) (# 16297) with respect to smaller t
• residual design of supplementary of 6-(33,9,2340) (# 16298)
• supplementary design of 6-(32,9,2080) (# 16300) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,520) (# 16302) : der= 5-(31,8,520) and res= 5-(31,9,2990) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,2990) (# 16305) : der= 5-(31,8,520) and res= 5-(31,9,2990) - the given design is the residual.

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# 12391: 5-(32,10,16146)

• clan: 23-(48,24,5), 2 times reduced t, 14 times derived, 2 times residual
• residual design of 6-(33,10,3510) (# 12388)

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# 12392: 5-(33,10,78624)

• clan: 23-(48,24,20), 3 times reduced t, 14 times derived, 1 times residual
• supplementary design of 6-(33,10,3510) (# 12388) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,14040) (# 12393) : der= 5-(32,9,14040) and res= 5-(32,10,64584) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,64584) (# 12394) : der= 5-(32,9,14040) and res= 5-(32,10,64584) - the given design is the residual.
• residual design of supplementary of 6-(34,10,4095) (# 12610)

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# 12393: 5-(32,9,14040)

• clan: 23-(48,24,20), 2 times reduced t, 15 times derived, 1 times residual
• derived from supplementary of 6-(33,10,3510) (# 12388)
• residual design of supplementary of 6-(33,9,585) (# 12607)
• supplementary design of 6-(32,9,520) (# 16297) with respect to smaller t
• residual design of 6-(33,9,2340) (# 16298)
• design 6-(32,9,2080) (# 16300) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,2080) (# 16304) : der= 5-(31,8,2080) and res= 5-(31,9,11960) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,11960) (# 16306) : der= 5-(31,8,2080) and res= 5-(31,9,11960) - the given design is the residual.

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# 12394: 5-(32,10,64584)

• clan: 23-(48,24,20), 2 times reduced t, 14 times derived, 2 times residual
• residual design of supplementary of 6-(33,10,3510) (# 12388)

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# 12395: 5-(33,9,4095)

• clan: 23-(48,24,5), 3 times reduced t, 15 times derived
• Tran van Trung construction (left) for 5-(32,9,3510) (# 12390) : der= 5-(32,8,585) and res= 5-(32,9,3510) - the given design is the residual.
• design 6-(33,9,585) (# 12607) with respect to smaller t
• derived from 6-(34,10,4095) (# 12610)
• supplementary design of 6-(33,9,2340) (# 16298) with respect to smaller t

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# 12396: 5-(34,10,23751)

• clan: 23-(48,24,5), 4 times reduced t, 14 times derived
• Tran van Trung construction (right) for 5-(33,9,4095) (# 12395) : der= 5-(33,9,4095) and res= 5-(33,10,19656) - the given design is the derived.
• design 6-(34,10,4095) (# 12610) with respect to smaller t

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# 12397: 6-(33,10,5220)

• clan: 9-(36,12,870), 2 times derived, 1 times residual
• $P\Gamma L(2,32)$

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# 12398: 5-(33,10,29232)

• clan: 9-(36,12,870), 1 times reduced t, 2 times derived, 1 times residual
• design 6-(33,10,5220) (# 12397) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,5220) (# 12399) : der= 5-(32,9,5220) and res= 5-(32,10,24012) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,24012) (# 12400) : der= 5-(32,9,5220) and res= 5-(32,10,24012) - the given design is the residual.

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# 12399: 5-(32,9,5220)

• clan: 9-(36,12,870), 3 times derived, 1 times residual
• derived from 6-(33,10,5220) (# 12397)

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created: Fri Oct 23 11:13:01 CEST 2009