On the twin designs with the Ionin-type parameters
type: Item
instance of: scholarly article
title: On the twin designs with the Ionin-type parameters
zbMATH Open document ID: 0944.05013
author: H. Kharaghani
published in: The Electronic Journal of Combinatorics
publication date: 2000-02-17T00:00:00Z
full work available at URL: https://eudml.org/doc/120482
full work available at URL: v7i1r1.html
review text: A Bush-type Hadamard matrix is a block matrix of order \(4n^2\) with block size \(2n\) such that the diagonal blocks are matrices of all \(1\)'s and the off-diagonal blocks have row sum zero. If \(q= (2n- 1)^2\) is a prime power, it is shown that there is a weighing matrix with elements \(0\), \(\pm 1\) and orthogonal rows and columns which becomes a symmetric design with Ionin-type parameters by replacing either all \(1\)'s or all \(-1\)'s by zeros.
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1402580
zbMATH Keywords: symmetric design
zbMATH Keywords: regular Hadamard matrix
zbMATH Keywords: Bush-type Hadamard matrix
zbMATH Keywords: design with Ionin-type parameters
zbMATH Keywords: balanced generalized weighing matrix
reviewed by: D. Raghavarao
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1402580