Properties of Complete Sets of Mutually Equiorthogonal Frequency Hypercubes
A complete set of mutually equiorthogonal frequency hypercubes (MEFH) of ordern and dimensiond, usingm distinct symbols, has (n−1) d /(m−1) hypercubes. In this article, we explore the properties of complete sets of MEFH. As a consequence of these properties, we show that existence of such a set implies that the number of symbolsm is a prime power. We also establish an equivalence between existence of a complete set of MEFH and existence of a certain complete set of Latin hypercubes and a certain complete orthogonal array.
I. H. Morgan, "Properties of Complete Sets of Mutually Equiorthogonal Frequency Hypercubes," Annals of Combinatorics, Springer Verlag, Jan 1997.
The definitive version is available at https://doi.org/10.1007/BF02558488
Mathematics and Statistics
Keywords and Phrases
frequency hypercubes; frequency squares; latin hypercubes; latin squares; orthogonal arrays; Hadamard latrices
Article - Journal
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