An asymptotic result on the existence of generalised Hadamard matrices
โ Scribed by Warwick de Launey; Jeremy E Dawson
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 207 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0097-3165
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๐ SIMILAR VOLUMES
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
## Abstract In this paper, we continue to investigate the existence of 4โRGDDs and uniform 5โGDDs. It is proved that the necessary conditions for the existence of such designs are also sufficient with a finite number of possible exceptions. As an application, the known results on the existence of u
This paper contains a discussion of cocyclic Hadamard matrices, their associated relative difference sets, and regular group actions. Nearly all central extensions of the elementary abelian 2-groups by Z 2 are shown to act regularly on the associated group divisible design of the Sylvester Hadamard