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
Jacobi Sum Matrices
โ Scribed by Sam Vandervelde
- Book ID
- 111961259
- Publisher
- Mathematical Association of America
- Year
- 2012
- Tongue
- English
- Weight
- 974 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0002-9890
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We use sum rules of a special form to study spectral properties of Jacobi matrices. As a consequence of the main theorem, we obtain a discrete counterpart of a result by
We investigate the spectral properties of a class of Jacobi matrices in which the subdiagonal entries are quadratics and the row sums are constants. ๏ฃฉ 2002 Elsevier Science (USA)
A congruence for Jacobi sums of order k over finite fields is proved, which generalizes a congruence of for prime k and Ihara (1986) for prime power k. Related congruences for Jacobi sums are also presented. The techniques are elementary and self-contained, in contrast with the deep methods of Iwas