Maximal difference matrices of order \(\leq 10\)
type: Item
instance of: scholarly article
title: Maximal difference matrices of order \(\leq 10\)
zbMATH Open document ID: 0582.05014
DOI: 10.1016/0012-365X(86)90163-9
author: Dieter Jungnickel
author: Gerhard Grams
published in: Discrete Mathematics
publication date: 1986-01-01T00:00:00Z
review text: A difference matrix in a group G of order s is an (r,s)-matrix \(D=(d_{ij})\) with entries from G such that the set of differences \(d_{ij}-d_{kj}\) \((j=1,...,s)\) from any two rows of D contains each element of G exactly once. As is well-known, (maximal) difference matrices give rise to (maximal) sets of mutually orthogonal Latin squares. In this note, the row sizes r of maximal difference matrices are determined for all groups G of order at most 10.
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 3931028
zbMATH Keywords: maximal net
zbMATH Keywords: difference matrix
zbMATH Keywords: mutually orthogonal Latin squares
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3931028