New symmetric designs from regular Hadamard matrices
type: Item
instance of: scholarly article
title: New symmetric designs from regular Hadamard matrices
zbMATH Open document ID: 0885.05020
published in: The Electronic Journal of Combinatorics
publication date: 1998-02-18T00:00:00Z
full work available at URL: https://eudml.org/doc/119241
full work available at URL: v5i1r1.html
review text: Summary: For every positive integer \(m\), we construct a symmetric \((v,k,\lambda )\)-design with parameters \(v=\frac{h((2h-1)^{2m}-1)}{h-1}\), \(k=h(2h-1)^{2m-1}\), and \(\lambda =h(h-1)(2h-1)^{2m-2}\), where \(h=\pm 3\cdot 2^d\) and \(|2h-1|\) is a prime power. For \(m\geq 2\) and \(d\geq 1\), these parameter values were previously undecided. The tools used in the construction are balanced generalized weighing matrices and regular Hadamard matrices of order \(9\cdot 4^d\).
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 1119066
zbMATH Keywords: symmetric designs
zbMATH Keywords: balanced generalized weighing matrices
zbMATH Keywords: regular Hadamard matrices
author: Yury J. Ionin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1119066