On Circulant Complex Hadamard Matrices
โ Scribed by K. T. Arasu; Warwick de Launey; S. L. Ma
- Book ID
- 110324453
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 136 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0925-1022
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We are concerned here with the existence problem of 16-modular circulant Hadamard matrices H of size 4p (p prime), satisfying the additional condition that any two rows at distance n=2 in H are strictly orthogonal. A necessary existence condition is p 1 mod 8: For p 1 mod 16; existence follows from
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 ฮฑ q, where ฮฑ โฅ 2N -1. This improves a recent result of Craigen regarding the asympt