On skew cyclic codes over a mixed alphabet and their applications to DNA codes
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, vol.14, no.04, 2022 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 04
- Publication Date: 2022
- Doi Number: 10.1142/s1793830921501433
- Journal Name: DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Keywords: Skew cyclic codes, DNA codes, reversibility
- Ondokuz Mayıs University Affiliated: Yes
Abstract
In this paper, we introduce skew cyclic codes over the mixed alphabet F4R, where F-4 is the finite field with 4 elements and R = F-4 + uF(4) + vF(4), u(2) = u , v(2) = v , uv = vu = 0. Our results include a description of the generator polynomials of such codes and a necessary and sufficient condition for an F4R-skew cyclic code to be reversible complement.