New weighing matrices of weight 25
β Scribed by K. T. Arasu; Dina Torban
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 140 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
β¦ Synopsis
The existence of a weighing matrix of order 33 and weight 25 has been open so far. We actually construct such a circulant matrix, thereby obtaining circulant matrices of order 33t with weight 25, for each positive integer t. Consequently a missing entry in Craigen's table of weighing matrices can now be filled with a positive response.
π SIMILAR VOLUMES
We describe a way of obtaining new weighing matrices from old, which we call weaving because it involves distributing rows and columns of given matrices along the columns and rows of an array to form a partitioned matrix whose blocks have rank one. The method generalizes both the direct sum and dire
## Abstract We provide a classification method of weighing matrices based on a classification of selfβorthogonal codes. Using this method, we classify weighing matrices of orders up to 15 and order 17, by revising some known classification. In addition, we give a revised classification of weighing