On self-dual double negacirculant codes
DISCRETE APPLIED MATHEMATICS, cilt.222, ss.205-212, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 222
- Basım Tarihi: 2017
- Doi Numarası: 10.1016/j.dam.2017.01.018
- Dergi Adı: DISCRETE APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.205-212
- Anahtar Kelimeler: Quasi-twisted codes, Dickson polynomials, Varshamov-Gilbert bound, CIRCULANT
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
Double negacirculant (DN) codes are the analogues in odd characteristic of double circulant codes. Self-dual DN codes are shown to have a transitive automorphism group. Exact counting formulae are derived for DN codes. The special class of length a power of two is studied by means of Dickson polynomials, and is shown to contain families of codes with relative distances satisfying a modified Varshamov-Gilbert bound. This gives an alternative, and effective proof of the result of Chepyzhov, that there are families of quasi twisted codes above Varshamov-Gilbert. (C) 2017 Elsevier B.V. All rights reserved.