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, vol.55, no.3, pp.921-935, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.4134/bkms.b170386
  • Journal Name: Bulletin of the Korean Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.921-935
  • Keywords: m-adic residue codes, polyadic codes, non-chain rings, cyclic codes, DNA codes
  • Istanbul Gelisim University Affiliated: No

Abstract

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).