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Existence of (3, 1, 2)-conjugate orthogonal diagonal latin squares

✍ Scribed by Frank E. Bennett; Beiliang Du; Hantao Zhang

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 159 KB
Volume: 9
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.1013

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✦ Synopsis

Abstract

We shall refer to a diagonal Latin square which is orthogonal to its (3,1,2)‐conjugate, and the latter is also a diagonal Latin square, as a (3,1, 2)‐conjugate orthogonal diagonal Latin square, briefly CODLS. This article investigates the spectrum of CODLS and it is found that it contains all positive integers υ except 2, 3, 6, and possibly 10. © 2001 John Wiley & Sons, Inc. J Combin Designs 9: 297–308, 2001

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