Strong forms of orthogonality for sets of hypercubes
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
## 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), 376β387, to that of a __d__βframed net of type β, where __d__ββ₯β2 and 1ββ€ββββ€β__d__β1, and we establish a correspondence between __d__βframed nets o