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A survey on modular Hadamard matrices

✍ Scribed by Shalom Eliahou; Michel Kervaire


Book ID
108113541
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
313 KB
Volume
302
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Modular sequences and modular Hadamard m
✍ Shalom Eliahou; Michel Kervaire πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 227 KB

## Abstract For every __n__ divisible by 4, we construct a square matrix __H__ of size __n__, with coefficients ± 1, such that __H · H^t^ ≑ nI__ mod 32. This solves the 32‐modular version of the classical Hadamard conjecture. We also determine the set of lengths of 16‐modular Golay sequences. Β© 200

Circulant 16-Modular Hadamard Matrices a
✍ Shalom Eliahou; Michel Kervaire πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 190 KB

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

On Hadamard matrices
✍ Jennifer Seberry Wallis πŸ“‚ Article πŸ“… 1975 πŸ› Elsevier Science 🌐 English βš– 640 KB
On Circulant Complex Hadamard Matrices
✍ K. T. Arasu; Warwick de Launey; S. L. Ma πŸ“‚ Article πŸ“… 2002 πŸ› Springer 🌐 English βš– 136 KB