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Skew Hadamard matrices of Goethals-Seidel type

✍ Scribed by Albert Leon Whittman


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
715 KB
Volume
2
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Skew-Hadamard matrices of order 2(q + 1)
✍ Edward Spence πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 705 KB

Szekeres has established the ex:stence of a skew-Hadamard malrix of order 2(9 + 1) in the case 9 = 5 (mods), a prime power. His method utilized complemlcntary difference sets in the elementary abelian group of order 9. The main result of this paper is to show that, for the same 9, there exist skew-H

Skew-Hadamard matrices of orders 436, 58
✍ Dragomir Ε½. ĐokoviΔ‡ πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 98 KB

## Abstract We construct two difference families on each of the cyclic groups of order 109, 145, and 247, and use them to construct skew‐Hadamard matrices of orders 436, 580, and 988. Such difference families and matrices are constructed here for the first time. The matrices are constructed by usin

Hadamard matrices of generalized quatern
✍ Mieko Yamada πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 525 KB

Yamada, M., Hadamard matrices of generalized quaternion type, Discrete Mathematics 87 (1991) 187-196. Let G be a semi-direct product of a cyclic group of an odd order by a generalized quaternion group Q,. We consider the ring % obtained from the group ring ZG by identifying the elements f 1 in the c