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 a
Sets of orthogonal hypercubes of class r
โ Scribed by John T. Ethier; Gary L. Mullen; Daniel Panario; Brett Stevens; David Thomson
- Book ID
- 113698799
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 168 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0097-3165
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Equiorthogonal frequency hypercubes are one particular generalization of orthogonal latin squares. A complete set of mutually equiorthogonal frequency hypercubes (MEFH) of order n and dimension d, using m distinct symbols, has n ร 1 d am ร 1 hypercubes. In this article, we prove that an afยฎne geomet