Work

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

Year: 2026

Type: article

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.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.79100

Authors: Joel Kabore, Mohammed Elhassani Charkani

Institutions: Université Joseph Ki-Zerbo, Sidi Mohamed Ben Abdellah University

Language: English

Topic: Coding theory and cryptography

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7221474635

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Cites: 16

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Related to: 10