The orthomorphism graph \(\mathcal{L}_3(q)\)
type: Item
instance of: scholarly article
title: The orthomorphism graph \(\mathcal{L}_3(q)\)
zbMATH Open document ID: 1391.05062
author: Anthony B. Evans
published in: The Electronic Journal of Combinatorics
publication date: 2018-05-25T00:00:00Z
full work available at URL: v25i1p43
review text: Summary: Orthomorphisms of groups and pairwise orthogonal orthomorphisms have been used in several constructions of combinatorial designs, in particular in the construction of mutually orthogonal sets of Latin squares based on groups. In this paper we will use difference equations to construct orthomorphisms in \(\mathcal{L}_3(q)\), an orthomorphism graph of \(\mathrm{GF}(q)^{+}\times \mathrm{GF}(3)^+\), and to establish lower bounds for the number of pairwise orthogonal orthomorphisms in \(\mathcal{L}_3(q)\).
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 6873087
zbMATH Keywords: Latin squares
zbMATH Keywords: orthomorphisms
zbMATH Keywords: MOLS
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6873087