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Designs, Codes and Cryptography

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22-09-2016

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

Authors: Stefaan De Winter, Zeying Wang

Published in: Designs, Codes and Cryptography | Issue 3/2017

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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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Title: Classification of partial difference sets in Abelian groups of order
Authors: Stefaan De Winter
Zeying Wang
Publication date: 22-09-2016
Publisher: Springer US
Published in: Designs, Codes and Cryptography / Issue 3/2017
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-016-0280-x

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

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