Cocyclic Hadamard matrices and difference sets
type: Item
instance of: scholarly article
title: Cocyclic Hadamard matrices and difference sets
zbMATH Open document ID: 0956.05026
DOI: 10.1016/S0166-218X(99)00230-9
author: Warwick de Launey
author: D. L. Flannery
author: Kathy Horadam
published in: Discrete Applied Mathematics
publication date: 2001-03-04T00:00:00Z
review text: The authors explain the connection between (relative) difference sets, cocyclic Hadamard matrices, cocycles, coboundaries and perfect binary arrays. In particular, they mention the interesting conjecture that for any \(t\), cocyclic Hadamard matrices of order \(4t\) exist. The authors show that many of the known families of Hadamard matrices are actually families of cocyclic Hadamard matrices.
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1436244
zbMATH Keywords: Hadamard matrix
zbMATH Keywords: difference set
zbMATH Keywords: perfect binary array
zbMATH Keywords: cocycle
reviewed by: Alexander Pott
MaRDI profile type: Publication
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full work available at URL: s0166-218x(99)00230-9
OpenAlex ID: W2054788067
Wikidata QID: Q128099372
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description: scientific article; zbMATH DE number 1436244