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New partial difference sets in p-groups

✍ Scribed by Xiang-Dong Hou

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 110 KB
Volume: 10
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.10029

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✦ Synopsis

Abstract

Latin square type partial difference sets (PDS) are known to exist in R × R for various abelian p‐groups R and in ℤ^t^. We construct a family of Latin square type PDS in ℤ^t^ × ℤ^2__nt__^~p~ using finite commutative chain rings. When t is odd, the ambient group of the PDS is not covered by any previous construction. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 394–402, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10029

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