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Paper   IPM / M / 2309
School of Mathematics
  Title:   Classification of 6-(14,7,4) designs with nontrivial automorphism groups
  Author(s): 
1.  G. B. Khosrovshahi
2.  M. Mohammad-Noori
3.  B. Tayfeh-Rezaie
  Status:   Published
  Journal: J. Combin. Des.
  Vol.:  10
  Year:  2002
  Pages:   180-194
  Supported by:  IPM
  Abstract:
In this paper, we introduce some intersection matrices for t-designs. Utilizing these matrices together with a modified version of a backtracking algorithm, we classify all 6−(14,7,4) and 5−(13,6,4) designs with nontrivial automorphism groups and obtain 13 and 21 such designs, respectively.

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