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Necessary conditions for menon difference sets

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Abstract

Menon difference sets have the parameters (4N 2, 2N 2±N,N 2±N). In this paper, a necessary condition for Menon difference sets in groups of the formZ 2p ×Z 2p ×G q , whereG q is an abelianq-group andp, q are distinct prime numbers, will be proved. We will also focus on the groupsZ 2pq ×Z 2pq and give constraints on the magnitudes ofp andq. Finally, we show that if the groupZ 6p ×Z 6p contains a Menon difference set, thenp=3 or 13 only.

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  1. The Ohio State University, 43210, Columbus, OH

    W. K. Chan

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  1. W. K. Chan
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Communicated by R. Mullin

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Chan, W.K. Necessary conditions for menon difference sets. Des Codes Crypt 3, 147–154 (1993). https://doi.org/10.1007/BF01388413

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  • DOI: https://doi.org/10.1007/BF01388413

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