New Hadamard matrices and conference matrices obtained via Mathon's construction
type: Item
instance of: scholarly article
title: New Hadamard matrices and conference matrices obtained via Mathon's construction
zbMATH Open document ID: 0673.05016
DOI: 10.1007/BF01864173
author: Albert Leon Whiteman
author: Jennifer Seberry
published in: Graphs and Combinatorics
publication date: 1988-01-01T00:00:00Z
review text: A theorem by \textit{R. Mathon} [Can. J. Math. 30, 321-331 (1978; Zbl 0385.05018)] states that there are symmetric conference matrices of order \((q+2)q^ 2+1\) when \(q=4t-1\) is a prime power and \(q+3\) is the order of a conference matrix. The authors investigate Mathon's construction by a direct formulation of the matrices he uses in terms of (1,-1) matrices. These matrices are then generalized and used to find new constructions for families of Hadamard and conference matrices. Among others, this procedures gives a new conference matrix of order 3646 and a new Hadamard marix of order 7292.
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 15B36
zbMATH DE Number: 4101201
zbMATH Keywords: skew Hadamard matrices
zbMATH Keywords: symmetric conference matrices
MaRDI profile type: Publication
cites work: Q4198777
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cites work: Q3889068
cites work: On C-Matrices of Arbitrary Powers
cites work: A special class of Williamson matrices and difference sets
description: scientific article; zbMATH DE number 4101201