Title

Affine Geometries and Sets of Equiorthogonal Frequency Hypercubes

Abstract

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 − 1)d/(m − 1) hypercubes. in this article, we prove that an affine geometry of dimension dh over m can always be used to construct a complete set of MEFH of order mh and dimension d, using m distinct symbols. We also provide necessary and sufficient conditions for a complete set of MEFH to be equivalent to an affine geometry. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 435–441, 2000

Department(s)

Mathematics and Statistics

Keywords and Phrases

affine geometries; frequency hypercubes

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2000 Wiley-Blackwell, All rights reserved.

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