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A note on orthogonal sets of hypercubes

✍ Scribed by Anthony B. Evans

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 105 KB
Volume: 5
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1997)5:3<231::aid-jcd6>3.0.co;2-g

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✦ Synopsis

Mutually orthogonal sets of hypercubes are higher dimensional generalizations of mutually orthogonal sets of Latin squares. For Latin squares, it is well known that the Cayley table of a group of order n is a Latin square, which has no orthogonal mate if n is congruent to 2 modulo 4. We will prove an analogous result for hypercubes.

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