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On maximal weights of Hadamard matrices

โœ Scribed by Hikoe Enomoto; Masahiko Miyamoto


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
277 KB
Volume
29
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


An infinite class of Hadamard matrices o
โœ H. Kharaghani ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 308 KB

We show that if there is a skew-Hadamard matrix of order m then there is an Hadamard matrix of order 4m2 -4m whose excess attains the maximum possible bound predicted by S. Kounias and N. Farmakis, On the excess of Hadamard matrices, Discrete Mathematics 68 (1988) 59-69. That is a(4m\* -4m) = 4(m -1

Hadamard matrices of order โ‰ก8 (mod 16) w
โœ Christos Koukouvinos; Jennifer Seberry ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

Koukouvinos, C. and J. Seberry, Hadamard matrices of order =8(mod 16) with maximal excess, Discrete Mathematics 92 (1991) 173-176. Kounias and Farmakis, in 'On the excess of Hadamard matrices', Discrete Math. 68 (1988) 59-69, showed that the maximal excess (or sum of the elements) of an Hadamard mat

On the existence of Hadamard matrices
โœ Jennifer Seberry Wallis ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 397 KB
Decomposition of Hadamard matrices
โœ Morris Plotkin ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB
On the asymptotic existence of complex H
โœ R. Craigen; W. H. Holzmann; H. Kharaghani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB ๐Ÿ‘ 2 views

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 โ‰ฅ 2N -1. This improves a recent result of Craigen regarding the asympt