A characterization of Hadamard matrices
type: Item
instance of: scholarly article
title: A characterization of Hadamard matrices
zbMATH Open document ID: 0934.05027
author: Osvaldo Marrero
published in: Expositiones Mathematicae
publication date: 2000-04-09T00:00:00Z
review text: Any Hadamard matrix of order \(n=4t\) can be given the form \(H=\left(\begin{smallmatrix} J&J&A\\ J&-J&B\end{smallmatrix}\right),\) where \(J\) is the column vector of length \(n/2=2t\) with all entries \(+1.\) The paper presents an elementary proof for the fact, that the other three matrices \(\left(\begin{smallmatrix} J&J&\pm A\\ J&-J&\pm B\end{smallmatrix}\right)\) are then Hadamard matrices as well.
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 1347329
zbMATH Keywords: Hadamard matrices
reviewed by: Jürgen Bierbrauer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1347329