Some new series of Hadamard matrices
type: Item
instance of: scholarly article
title: Some new series of Hadamard matrices
zbMATH Open document ID: 0661.05020
author: Mieko Yamada
published in: Proceedings of the Japan Academy. Series A
publication date: 1987-01-01T00:00:00Z
review text: We show that the following theorems hold: Theorem 1. If \(q\equiv 1\) (mod 8) is a prime power and there exists a Hadamard matrix of order (q-1)/2, then we can construct a Hadamard matrix of order 4q. Theorem 2. If \(q\equiv 5\) (mod 8) is a prime power and there exists a skew-Hadamard matrix of order \((q+3)/2\), then we can construct a Hadamard matrix of order \(4(q+2).\) Theorem 3. If \(q\equiv 1\) (mod 8) is a prime power and there exists a symmetric C-matrix of order \((q+3)/2\), then we can construct a Hadamard matrix of order \(4(q+2)\).
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 4079443
zbMATH Keywords: Hadamard matrix
MaRDI profile type: Publication
full work available at URL: pjaa.63.86
OpenAlex ID: W2043388826
cites work: Q4198777
cites work: Hadamard matrices generated by an adaptation of generalized quaternion type array
cites work: Williamson Hadamard matrices and Gauss sums
cites work: Q3772323
DOI: 10.3792/PJAA.63.86
description: scientific article; zbMATH DE number 4079443