Improvements on generalized hamming weights of some trace codes

GÜNERİ, CEM; Ozbudak, FERRUH

doi:10.1007/s10623-005-3394-0

Improvements on generalized hamming weights of some trace codes

GÜNERİ C., Ozbudak F.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.39, sa.2, ss.215-231, 2006 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 39 Sayı: 2
Basım Tarihi: 2006
Doi Numarası: 10.1007/s10623-005-3394-0
Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.215-231
Anahtar Kelimeler: trace codes, cyclic codes, divisibility, generalized Hamming weights, algebraic function field, FINITE-FIELDS, EXTENSIONS
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.