Strong forms of orthogonality for sets of hypercubes

John T. Ethier; Gary L. Mullen

doi:10.1016/j.disc.2012.03.008

Strong forms of orthogonality for sets of hypercubes

John T. Ethier, Gary L. Mullen

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

For hypercubes of dimension d<2, we discuss several generalizations of the usual notion of pairwise orthogonality. We provide some constructions for complete sets of orthogonal hypercubes and also discuss connections to MDS codes.

Original language	English (US)
Pages (from-to)	2050-2061
Number of pages	12
Journal	Discrete Mathematics
Volume	312
Issue number	12-13
DOIs	https://doi.org/10.1016/j.disc.2012.03.008
State	Published - Jul 6 2012

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2012.03.008

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abstract = "For hypercubes of dimension d<2, we discuss several generalizations of the usual notion of pairwise orthogonality. We provide some constructions for complete sets of orthogonal hypercubes and also discuss connections to MDS codes.",

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AU - Mullen, Gary L.

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JO - Discrete Mathematics

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Strong forms of orthogonality for sets of hypercubes

Abstract

All Science Journal Classification (ASJC) codes

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