Cocyclic Hadamard matrices from forms over finite Frobenius rings
type: Item
instance of: scholarly article
title: Cocyclic Hadamard matrices from forms over finite Frobenius rings
zbMATH Open document ID: 1168.15013
author: Gary McGuire
author: Harold N. Ward
published in: Linear Algebra and its Applications
publication date: 2009-03-17T00:00:00Z
review text: The authors give a construction of cocyclic Butson-Hadamard matrices. Their approach is based upon a finite Frobenius ring \(A\), a left \(A\)-module \(L\), a right \(A\)-module \(R\), and a bilinear pairing \(B:L\times R \to A\). Two such matrices (possibly from different rings) are equivalent if and only if the additive groups of the underlying right modules are isomorphic.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 5529482
zbMATH Keywords: Hadamard matrix
zbMATH Keywords: cocycle
zbMATH Keywords: Frobenius ring
zbMATH Keywords: bilinear form
zbMATH Keywords: pairing
zbMATH Keywords: Butson-Hadamard matrix
zbMATH Keywords: \(A\)-module
MaRDI profile type: Publication
full work available at URL: j.laa.2008.04.027
OpenAlex ID: W2056298738
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DOI: 10.1016/J.LAA.2008.04.027
description: scientific article; zbMATH DE number 5529482