´

t designs with small t, id ge 13400


# 13400: 6-(27,11,10773)


# 13401: 6-(27,12,28728)


# 13402: 6-(28,12,35112)


# 13403: 6-(28,13,80256)


# 13404: 6-(28,12,39501)


# 13405: 6-(28,13,90288)


# 13406: 6-(29,13,115368)


# 13407: 6-(29,14,230736)


# 13408: 6-(29,13,129789)


# 13409: 6-(29,14,259578)


# 13410: 6-(30,14,346104)


# 13411: 6-(30,15,615296)


# 13412: 7-(30,15,230736)


# 13413: 6-(30,14,389367)


# 13414: 6-(30,15,692208)


# 13415: 7-(30,15,259578)


# 13416: 6-(31,15,961400)


# 13417: 5-(29,15,922944)


# 13418: 5-(29,15,1038312)


# 13419: 6-(29,15,384560)


# 13420: 6-(29,15,432630)


# 13421: 6-(31,15,1081575)


# 13422: 6-(32,16,2499640)


# 13423: 7-(32,16,961400)


# 13424: 5-(28,15,538384)


# 13425: 5-(28,15,605682)


# 13426: 6-(32,16,2812095)


# 13427: 7-(32,16,1081575)


# 13428: 5-(31,16,3635840)


# 13429: 5-(31,16,4090320)


# 13430: 6-(31,16,1538240)


# 13431: 6-(31,16,1730520)


# 13432: 5-(30,16,2097600)


# 13433: 5-(30,16,2359800)


# 13434: 7-(24,9,40)


# 13435: 6-(24,9,240)


# 13436: 6-(23,9,200)


# 13437: 6-(24,9,576)


# 13438: 6-(23,9,480)


# 13439: 7-(25,9,45)


# 13440: 6-(24,10,900)


# 13441: 6-(25,9,684)


# 13442: 6-(25,10,1140)


# 13443: 6-(25,11,3420)


# 13444: 6-(26,11,4560)


# 13445: 6-(26,12,11400)


# 13446: 6-(27,11,5985)


# 13447: 6-(27,12,15960)


# 13448: 6-(27,13,34200)


# 13449: 6-(28,12,21945)


# 13450: 6-(28,13,50160)


# 13451: 6-(28,14,94050)


# 13452: 7-(28,14,34200)


# 13453: 6-(29,13,72105)


# 13454: 6-(29,14,144210)


# 13455: 5-(27,14,146300)


# 13456: 5-(27,14,351120)


# 13457: 6-(27,14,59850)


# 13458: 6-(28,14,225720)


# 13459: 6-(27,13,82080)


# 13460: 6-(27,14,143640)


# 13461: 6-(30,14,216315)


# 13462: 6-(30,15,384560)


# 13463: 7-(30,15,144210)


# 13464: 5-(26,14,86450)


# 13465: 5-(26,14,207480)


# 13466: 7-(28,14,82080)


# 13467: 6-(31,15,600875)


# 13468: 5-(29,15,576840)


# 13469: 5-(29,15,1384416)


# 13470: 6-(29,15,240350)


# 13471: 6-(30,15,922944)


# 13472: 6-(29,14,346104)


# 13473: 6-(29,15,576840)


# 13474: 6-(32,16,1562275)


# 13475: 7-(32,16,600875)


# 13476: 5-(28,15,336490)


# 13477: 5-(28,15,807576)


# 13478: 7-(30,15,346104)


# 13479: 5-(31,16,2272400)


# 13480: 5-(31,16,5453760)


# 13481: 6-(31,16,961400)


# 13482: 6-(32,16,3749460)


# 13483: 6-(31,15,1442100)


# 13484: 6-(31,16,2307360)


# 13485: 5-(30,16,1311000)


# 13486: 5-(30,16,3146400)


# 13487: 7-(32,16,1442100)


# 13488: 7-(24,9,48)


# 13489: 7-(25,9,54)

  • clan: 15-(32,16,6), 1 times reduced t, 7 times derived
  • Tran van Trung construction (left) for 7-(24,9,48) (# 13488) : der= 7-(24,8,6) and res= 7-(24,9,48) - the given design is the residual.
  • (Tran van Trung construction): 7-(24,8,6) together with 7-(24,9,48) \cite{Bettenetal98b} (>= 11106724087393318560 isomorphism types with trivial automorphism group, >= 125594891886632282241 isomorphism types )


# 13490: 7-(25,10,288)


# 13491: 7-(26,10,342)

  • clan: 15-(32,16,6), 2 times reduced t, 6 times derived
  • Tran van Trung construction (right) for 7-(25,9,54) (# 13489) : der= 7-(25,9,54) and res= 7-(25,10,288) - the given design is the derived.
  • Tran van Trung construction (left) for 7-(25,10,288) (# 13490) : der= 7-(25,9,54) and res= 7-(25,10,288) - the given design is the residual.
  • (Tran van Trung construction): 7-(25,9,54) together with 7-(25,10,288) \cite{Bettenetal97b} (>= 157614502214244520820513272599085230602732718703918448640000000 isomorphism types)


# 13492: 7-(26,11,1368)


# 13493: 7-(27,11,1710)


# 13494: 7-(27,12,5472)


# 13495: 7-(28,12,7182)


# 13496: 7-(28,13,19152)


# 13497: 7-(29,13,26334)


# 13498: 7-(29,14,60192)


# 13499: 7-(30,14,86526)



created: Fri Oct 23 11:13:31 CEST 2009

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