Title

Properties of Complete Sets of Mutually Equiorthogonal Frequency Hypercubes

Abstract

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

frequency hypercubes; frequency squares; latin hypercubes; latin squares; orthogonal arrays; Hadamard latrices

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 Springer Verlag, All rights reserved.


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