m-adic residue codes over Fq[v]/(v2 − v) and DNA codes

Kuruz F., Oztas E. S., Siap I.

Bulletin of the Korean Mathematical Society, cilt.55, sa.3, ss.921-935, 2018 (SCI-Expanded) identifier identifier

  • 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).