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Sets of orthogonal hypercubes of class r

โœ Scribed by John T. Ethier; Gary L. Mullen; Daniel Panario; Brett Stevens; David Thomson


Book ID
113698799
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
168 KB
Volume
119
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


A note on orthogonal sets of hypercubes
โœ Anthony B. Evans ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 105 KB ๐Ÿ‘ 2 views

Mutually orthogonal sets of hypercubes are higher dimensional generalizations of mutually orthogonal sets of Latin squares. For Latin squares, it is well known that the Cayley table of a group of order n is a Latin square, which has no orthogonal mate if n is congruent to 2 modulo 4. We will prove a

The geometry of sets of orthogonal frequ
โœ V. C. Mavron; T. P. McDonough; Gary L. Mullen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 155 KB

## Abstract We extend the notion of a framed net, introduced by D. Jungnickel, V. C. Mavron, and T. P. McDonough, J Combinatorial Theory A, 96 (2001), 376โ€“387, to that of a __d__โ€framed net of type โ„“, where __d__โ€‰โ‰ฅโ€‰2 and 1โ€‰โ‰คโ€‰โ„“โ€‰โ‰คโ€‰__d__โ€1, and we establish a correspondence between __d__โ€framed nets o

Affine geometries and sets of equiorthog
โœ Ilene H. Morgan ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 99 KB

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 ร€ 1 d am ร€ 1 hypercubes. In this article, we prove that an afยฎne geomet