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Existence of conjugate orthogonal diagonal Latin squares

✍ Scribed by F. E. Bennett; B. Du; H. Zhang

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 151 KB
Volume: 5
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1997)5:6<449::aid-jcd6>3.0.co;2-f

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✦ Synopsis

We shall refer to a diagonal Latin square which is orthogonal to its (3, 2, 1)-conjugate and having its (3, 2, 1)-conjugate also a diagonal Latin square as a (3, 2, 1)-conjugate orthogonal diagonal Latin square, briefly CODLS. This article investigates the spectrum of CODLS and it is found that it contains all positive integers v except 2, 3, 6, and possibly 10.

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