Weighing matrices and their applications
β Scribed by Christos Koukouvinos; Jennifer Seberry
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 493 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
β¦ Synopsis
Three major applications of weighing matrices are discussed. New weighing matrices and skew weighing matrices are given for many orders 4t ~ 100. We resolve the skew-weighing matrix conjecture in the affirmative for 4t <~ 88.
π SIMILAR VOLUMES
It is proved that any set of representatives of the distinct one-dimensional subspaces in the dual code of the unique linear perfect single-error-correcting code of length (qB!1)/(q!1) over GF(q) is a balanced generalized weighing matrix over the multiplicative group of GF(q). Moreover, this matrix
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 no
Petri nets serve as a model of computer systems which involve concurrent processes. ConJlict and confluence are relations which can limit concurrency in many situations, while precedence between processes can completely negate any concurrency. This paper introduces several new matrices which show i