A nonexistence result for Abelian Menon difference sets using perfect binary arrays
type: Item
instance of: scholarly article
title: A nonexistence result for Abelian Menon difference sets using perfect binary arrays
zbMATH Open document ID: 0834.05011
DOI: 10.1007/BF01299738
author: K. T. Arasu
author: James A. Davis
author: Jonathan Jedwab
published in: Combinatorica
publication date: 1996-03-10T00:00:00Z
review text: Perfect binary arrays are used to prove that if an Abelian group \(G= H\times K\times Z_{p^\alpha}\) (\(p\) an odd prime, \(|K|= p^\alpha\), \(p^j\equiv -1\pmod{\exp(H)}\)) contains a Hadamard (Menon) difference set, then \(G\) must be cyclic.
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 806473
zbMATH Keywords: binary arrays
zbMATH Keywords: Abelian group
zbMATH Keywords: difference set
reviewed by: Vladimir D. Tonchev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 806473