m-adic residue codes over Fq[v]/(v2 − v) and DNA codes
Bulletin of the Korean Mathematical Society, cilt.55, sa.3, ss.921-935, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 3
- Basım Tarihi: 2018
- Doi Numarası: 10.4134/bkms.b170386
- Dergi Adı: Bulletin of the Korean Mathematical Society
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.921-935
- Anahtar Kelimeler: m-adic residue codes, polyadic codes, non-chain rings, cyclic codes, DNA codes
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
In this study we determine the structure of m-adic residue codes over the non-chain ring Fq[v]/(v2 − v) and present some promising examples of such codes that have optimal parameters with respect to Griesmer Bound. Further, we show that the generators of m-adic residue codes serve as a natural and suitable application for generating reversible DNA codes via a special automorphism and sets over F42k [v]/(v2 − v).