Concerning difference matrices
type: Item
instance of: scholarly article
title: Concerning difference matrices
zbMATH Open document ID: 0858.05021
DOI: 10.1023/A:1027389907339
author: Charles J. Colbourn
author: Donald L. Kreher
published in: Designs, Codes and Cryptography
publication date: 1997-03-23T00:00:00Z
review text: An \((s,v;\lambda)\)-difference matrix over the group \((G,*)\) of order \(s\) is a \((v\times s\lambda)\)-matrix \(D\) with entries from \(G\) such that for any two rows \(i_1\) and \(i_2\) of \(D\), \(d(i_1,j)*\{d(i_2,j)\}^{-1}\) for \(j=1,2,\dots,s\lambda\) contains each element of \(G\) exactly \(\lambda\) times. Difference matrices can be expanded to orthogonal arrays. Several new constructions of difference matrices are given.
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 62K15
zbMATH DE Number: 934918
zbMATH Keywords: pairwise balanced designs
zbMATH Keywords: orthogonal arrays
zbMATH Keywords: difference matrices
reviewed by: D. Raghavarao
MaRDI profile type: Publication
full work available at URL: a:1027389907339
OpenAlex ID: W2073068555
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description: scientific article; zbMATH DE number 934918