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Maximal difference matrices of order q

✍ Scribed by Alexander Pott

Publisher: John Wiley and Sons
Year: 1993
Tongue: English
Weight: 310 KB
Volume: 1
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.3180010205

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✦ Synopsis

Abstract

Recently, A. B. Evans proved the following Theorem: There is a maximal set of (p − 3)/2 [(resp. (p − 1)/2] mutually orthogonal Latin squares of order p if p is a prime p ≡ 3 mod 4 (resp. p ≡ 1 mod 4). In this article I will give a slightly different proof using more geometric arguments and results of Rédei. Further, I discuss possible generalizations of Evans' Theorem to the case of Latin squares whose order is a prime power. © 1993 John Wiley & Sons, Inc.

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