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McFarland's conjecture on abelian difference sets with multiplier −1

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Abstract

This paper is a continuation of the work by R.L. McFarland and S.L. Ma on abelian difference sets with −1 as a multiplier. More nonexistence results are obtained as a consequence of a theorem on the existence of sub-difference sets. In particular, nonexistence is shown for the two cases left undecided by McFarland and Ma.

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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, 0511, Kent Ridge, Singapore, Republic of Singapore

    S. L. Ma

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  1. S. L. Ma
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Communicated by D. Jungnickel

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Ma, S.L. McFarland's conjecture on abelian difference sets with multiplier −1. Des Codes Crypt 1, 321–332 (1991). https://doi.org/10.1007/BF00124607

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  • DOI: https://doi.org/10.1007/BF00124607

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