m-ADIC RESIDUE CODES OVER Fq[v]/(v2 - v) AND DNA CODES

Abstract

In this study we determine the structure of m-adic residue codes over the non-chain ring F-q[v]1 (v(2) - 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 F-42k [v]/(v(2) - v).