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Embedding a latin square in a pair of orthogonal latin squares

✍ Scribed by Peter Jenkins

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 123 KB
Volume: 14
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20087

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✦ Synopsis

Abstract

In this paper, it is shown that a latin square of order n with n ≥ 3 and n ≠ 6 can be embedded in a latin square of order n^2^ which has an orthogonal mate. A similar result for idempotent latin squares is also presented. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 270–276, 2006

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