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“School of Mathematics”

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Paper   IPM / M / 186
School of Mathematics
  Title:   Some infinite families of large sets of t-designs
  Author(s):  B. Tayfeh-Rezaie
  Status:   Published
  Journal: J. Combin. Theory Ser. A
  Vol.:  87
  Year:  1999
  Pages:   239-245
  Supported by:  IPM
  Abstract:
A set of necessary conditions for the existence of a large set of t-designs, LS[N](t,k,v) is N|((vi) || (ki)) for i=0,1,…,t. We show that these conditions are sufficient for N=3, t=2,3 or 4, and k ≤ 8.

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