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Paper   IPM / M / 2348
School of Mathematics
  Title:   On the nonexistence of Steiner t-(v,k) trades
  Author(s): 
1.  A. Hoorfar
2.  G. B. Khosrovshahi
  Status:   Published
  Journal: Ars Combin.
  Vol.:  75
  Year:  2005
  Pages:   195--204
  Supported by:  IPM
  Abstract:
We establish the nonexistence of: (i) Steiner t-(v,k) trades of volume s, for 2t+2t−1 < s < 2t+2t−1+2t−2; (ii) Steiner 4-(v,k) trades of volume s=29; (iii) Steiner t-(v,k) trades with k > t+1 and volume s < (t−1)2t+2.

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