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Paper   IPM / M / 723
School of Mathematics
  Title:   On the indecomposable partition problem: IPP(10,Λ)
  Author(s):  Z. Eslami
  Status:   Published
  Journal: Discrete Math.
  No.:  1-3
  Vol.:  248
  Year:  2002
  Pages:   255-264
  Supported by:  IPM
In this paper, we determine all indecomposable triple systems of order 10 and index 4 with a non-trivial automorphism group and show that exactly 101 such designs exist. We then answer some questions about IPP(10,Λ) and finally obtain a lower bound for the number of LS [4] (2,3,10).

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