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Strong forms of orthogonality for sets of hypercubes

✍ Scribed by John T. Ethier; Gary L. Mullen


Book ID
113567634
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
354 KB
Volume
312
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Sets of orthogonal hypercubes of class r
✍ John T. Ethier; Gary L. Mullen; Daniel Panario; Brett Stevens; David Thomson πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 168 KB
A note on orthogonal sets of hypercubes
✍ Anthony B. Evans πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 105 KB πŸ‘ 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
✍ V. C. Mavron; T. P. McDonough; Gary L. Mullen πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 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), 376–387, to that of a __d__‐framed net of type β„“, where __d__ β‰₯ 2 and 1 ≀ ℓ ≀ __d__‐1, and we establish a correspondence between __d__‐framed nets o