In this paper, we prove that the concepts of cocyclic Hadamard matrix and Hadamard group are equivalent. A general procedure for constructing Hadamard groups and classifying such groups on the basis of isomorphism type is given. To illustrate the ideas, cocyclic Hadamard matrices over dihedral group
Exotic complex Hadamard matrices and their equivalence
✍ Scribed by Ferenc Szöllősi
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- English
- Weight
- 332 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1936-2447
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📜 SIMILAR VOLUMES
Let N = N (q) be the number of nonzero digits in the binary expansion of the odd integer q. A construction method is presented which produces, among other results, a block circulant complex Hadamard matrix of order 2 α q, where α ≥ 2N -1. This improves a recent result of Craigen regarding the asympt
## Abstract It is known that all doubly‐even self‐dual codes of lengths 8 or 16, and the extended Golay code, can be constructed from some binary Hadamard matrix of orders 8, 16, and 24, respectively. In this note, we demonstrate that every extremal doubly‐even self‐dual [32,16,8] code can be const