Weighing Matrices and String Sorting
โ Scribed by Ilias S. Kotsireas; Christos Koukouvinos; Jennifer Seberry
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 241 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0218-0006
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
James--Sel/ss Automatle Maehlne. 97 carbon, in the case of No. 4 bringing the strength a little below that at the ordinary temperature.
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
In a previous paper, the authors proved that any set of representatives of the distinct 1dimensional 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)