On  skew cyclic reversible DNA codes over F_4[v]/ < v^4 - v >

Joel KABORE; Mohammed Elhassani Charkani

doi:10.5269/bspm.79100

On skew cyclic reversible DNA codes over F_4[v]/ < v^4 - v >

Skew cyclic DNA codes

Joel KABORE Joseph Ki-Zerbo University https://orcid.org/0009-0006-6393-7214
Mohammed Elhassani Charkani Faculty of Sciences Dhar EL Mahraz, Sidi Mohamed Ben Abdellah University https://orcid.org/0000-0003-3079-6591

DOI: https://doi.org/10.5269/bspm.79100

Abstract

In this paper, we study a specific class of skew cyclic codes over the ring F_4[v]/ < v^4 - v > which is suitable for describing DNA codes over this ring. Using the Gray map between F_4[v]/ < v^4 - v > and (F_4)^4 (or equivalently DNA 4-bases), we describe reversible DNA codes and reversible-complement DNA codes over this ring.