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Classification of partial difference sets in Abelian groups of order \(4p^2\)

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Abstract

In this article we provide a complete classification of regular partial difference sets in Abelian groups of order \(4p^2\), p an odd prime. It turns out that the known examples are the only examples. These are, up to complements, the trivial examples, the PCP examples, and a sporadic example in \(\mathbb {Z}_2^2\times \mathbb {Z}_3^2\).

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Correspondence to Stefaan De Winter.

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Communicated by D. Jungnickel.

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De Winter, S., Wang, Z. Classification of partial difference sets in Abelian groups of order \(4p^2\) . Des. Codes Cryptogr. 84, 451–461 (2017). https://doi.org/10.1007/s10623-016-0280-x

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  • DOI: https://doi.org/10.1007/s10623-016-0280-x

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