Document Type

Article

Publication Date

3-31-2013

Abstract

A complete enumeration of relative difference sets (RDS) with parameters (16, 4, 16, 4) in a group of order 64 with a normal subgroup N of order 4 is given. If N = Z4 , three of the 11 abelian groups of order 64, and 23 of the 256 nonabelian groups of order 64 contain (16, 4, 16, 4) RDSs. If N = Z2 × Z2 , nine of the abelian groups and 194 of the non-abelian groups of order 64 contain (16, 4, 16, 4) RDSs.

Publisher's Statement

© 2013. Publisher’s version of record: https://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i1p72

Publication Title

The Electronic Journal of Combinatorics

Version

Publisher's PDF

Included in

Mathematics Commons

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