Improvements on generalized hamming weights of some trace codes
DESIGNS CODES AND CRYPTOGRAPHY, vol.39, no.2, pp.215-231, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 39 Issue: 2
- Publication Date: 2006
- Doi Number: 10.1007/s10623-005-3394-0
- Journal Name: DESIGNS CODES AND CRYPTOGRAPHY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.215-231
- Keywords: trace codes, cyclic codes, divisibility, generalized Hamming weights, algebraic function field, FINITE-FIELDS, EXTENSIONS
- Middle East Technical University Affiliated: Yes
Abstract
We obtain improved bounds for the generalized Hamming weights of some trace codes which include a large class of cyclic codes over any finite field. In particular, we improve the corresponding bounds of Stichtenoth and Voss [8] using various methods altogether.