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Paper   IPM / M / 2351
School of Mathematics
  Title:   Backtracking Algorithm for Finding t-Designs
1.  B. Tayfeh-Rezaie
2.  M. Mohammad-Noori
  Status:   Published
  Journal: J. Combin. Des.
  Vol.:  11
  Year:  2003
  Pages:   240-248
  Supported by:  IPM
A detailed description of an improved version of backtracking algorithms for finding t-designs proposed by G. B. Khosrovshahi and the authors of this paper [J Combin Designs 10(2002), 180-194] is presented. The algorithm is then used to determine all 5-(14,6,3) designs admitting an automorphism of order 13,11,or 7. It is concluded that a 5-(14,6,3) design with an automorphism of prime order p exists if and only if p=2,3,7,13.

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