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Construction of some Hadamard matrices with maximum excess

✍ Scribed by Christos Koukouvinos; Stratis Kounias


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
300 KB
Volume
85
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Weaving hadamard matrices with maximum e
✍ R. Craigen; H. Kharaghani πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 165 KB

## Abstract Weaving is a matrix construction developed in 1990 for the purpose of obtaining new weighing matrices. Hadamard matrices obtained by weaving have the same orders as those obtained using the Kronecker product, but weaving affords greater control over the internal structure of matrices co

Hadamard matrices of order ≑8 (mod 16) w
✍ Christos Koukouvinos; Jennifer Seberry πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 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

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✍ Nikos Farmakis; Stratis Kounias πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 542 KB

Hadamard matrices of order n with maximum excess o(n) are constructed for n = 40, 44, 48, 52, 80, 84. The results are: o(40)= 244, o(44)= 280, o(48)= 324, o(52)= 364, o(80)= 704, 0(84) = 756. A table is presented listing the known values of o(n) 0< n ~< 100 and the corresponding Hadamard matrices ar

An infinite class of Hadamard matrices o
✍ H. Kharaghani πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 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

Some Hadamard matrices of order 32 and t
✍ Makoto Araya; Masaaki Harada; Hadi Kharaghani πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 70 KB πŸ‘ 1 views

## Abstract It is known that all doubly‐even self‐dual codes of lengths 8 or 16, and the extended Golay code, can be constructed from some binary Hadamard matrix of orders 8, 16, and 24, respectively. In this note, we demonstrate that every extremal doubly‐even self‐dual [32,16,8] code can be const