Nonexistence results for Hadamard-like matrices
type: Item
instance of: scholarly article
title: Nonexistence results for Hadamard-like matrices
zbMATH Open document ID: 1031.05028
author: Justin D. Christian
author: Bryan L. Shader
published in: The Electronic Journal of Combinatorics
publication date: 2004-02-05T00:00:00Z
full work available at URL: https://eudml.org/doc/123231
full work available at URL: v11i1n1.html
review text: Summary: The class of square \((0,1,-1)\)-matrices whose rows are nonzero and mutually orthogonal is studied. This class generalizes the classes of Hadamard and weighing matrices. We prove that if there exists an \(n\) by \(n\) \((0,1,-1)\)-matrix whose rows are nonzero, mutually orthogonal and whose first row has no zeros, then \(n\) is not of the form \(p^k, 2p^k\) or \(3p\) where \(p\) is an odd prime, and \(k\) is a positive integer.
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 15B36
zbMATH DE Number: 2038359
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2038359