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
On maximal weights of Hadamard matrices
โ Scribed by Hikoe Enomoto; Masahiko Miyamoto
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 277 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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 โฅ 2N -1. This improves a recent result of Craigen regarding the asympt