Maximal sets of mutually orthogonal Latin squares. II
type: Item
instance of: scholarly article
title: Maximal sets of mutually orthogonal Latin squares. II
zbMATH Open document ID: 0765.05023
DOI: 10.1016/S0195-6698(05)80013-7
author: Anthony B. Evans
published in: European Journal of Combinatorics
publication date: 1993-01-16T00:00:00Z
review text: The main result of this paper is Theorem 1 which reads as follows: Let \(p\geq 7\) be a prime. (a) If \(p\equiv 3\bmod 4\) then there exists a maximal set of \((p-3)/2\) mutually orthogonal Latin squares of order \(p\). (b) If \(p\equiv 1\bmod 4\) then there exists a maximal set of \((p-1)/2\) mutually orthogonal Latin squares of order \(p\).
reviewed by: József Dénes
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 94936
zbMATH Keywords: mutually orthogonal Latin squares
MaRDI profile type: Publication
cites work: Q3686719
cites work: A Theorem on Permutations in a Finite Field
cites work: Orthomorphisms of \(Z_ p\)
cites work: On planes of prime order with translations and homologies
cites work: Q3835553
cites work: Maximal sets of mutually orthogonal Latin squares. I
cites work: Q3695922
cites work: Q5690468
cites work: Q3700375
cites work: Replaceable Nets, Net Collineations, and Net Extensions
full work available at URL: s0195-6698(05)80013-7
OpenAlex ID: W4213144066
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description: scientific article; zbMATH DE number 94936