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Paper   IPM / M / 2351
School of Mathematics
Title:   Backtracking Algorithm for Finding t-Designs
Author(s):
 1 B. Tayfeh-Rezaie 2 M. Mohammad-Noori
Status:   Published
Journal: J. Combin. Des.
Vol.:  11
Year:  2003
Pages:   240-248
Supported by:  IPM
Abstract:
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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