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Modular Hadamard matrices and related designs, III

✍ Scribed by O. Marrero

Book ID
105324004
Publisher
Springer
Year
1975
Tongue
English
Weight
436 KB
Volume
13
Category
Article
ISSN
0001-9054

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πŸ“œ SIMILAR VOLUMES

Modular sequences and modular Hadamard m
Modular sequences and modular Hadamard matrices
✍ 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

Enumeration of generalized Hadamard matr
Enumeration of generalized Hadamard matrices of order 16 and related designs
✍ P. B. Gibbons; R. Mathon πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## Abstract We investigate signings of symmetric GDD($16 \times 2^i$, 16, $2^{4-i}$)s over $Z\_2$ for $1 \le i \le 3$. Beginning with $i=1$, at each stage of this process a signing of a GDD($16 \times 2^i$, 16, $2^{4-i}$) produces a GDD($16 \times 2^{i+1}$, 16, $2^{4-i-1}$). The initial GDDs ($i=1$

Circulant 16-Modular Hadamard Matrices a
Circulant 16-Modular Hadamard Matrices and Jacobi Sums
✍ 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