A short proof of a conjecture on quasi-symmetric 3-designs

Pawale, Rajendra M. ; Sane, Sharad S. (1991) A short proof of a conjecture on quasi-symmetric 3-designs Discrete Applied Mathematics, 96 (1). pp. 71-74. ISSN 0166-218X

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0012-365X(91)90472-E

Abstract

It was conjectured by Sane and M.S. Shrikhande that the only nontrivial quasi-symmetric 3-design with the smaller block intersection number one is either the Witt 4-(23, 7, 1) design or its residual. Calderbank and Morton recently proved this conjecture using sophisticated number theoretic arguments. A short and elementary proof of this conjecture is presented in this paper.

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