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

International Standard Serial Number (ISSN)

0218-0006

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 Springer Verlag, All rights reserved.

Publication Date

01 Jan 1997

Link to Full Text

Share

 
COinS