Circulant weighing designs
โ Scribed by K. T. Arasu; Jennifer Seberry
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 342 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
โฆ Synopsis
Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order 43 for any weight. We also prove two conjectures of Yosef Strassler. 0 1996 John Wiley & Sons, Inc.
๐ SIMILAR VOLUMES
Corresponding to each odd integer q, we construct a complex orthogonal design. The number of variables and the form of the design depends on the integer q. Almost all of these designs are new and as a corollary we get a new asymptotic existence result for complex Hadamard matrices.