Work

On Double Cyclic Codes and Applications to DNA Codes

Year: 2025

Type: article

Abstract: In this paper, we investigate the structure of double cyclic codes of length (α,β) over R=F4+ϱF4,ϱ2=0 and give a minimal spanning set of double cyclic codes. Moreover, we extend this study to construct DNA codes from R-double cyclic codes. Furthermore, we explore reversible and reversible-complement double cyclic codes over R and present a necessary and sufficient condition for separable R-double cyclic codes to be reversible and reversible-complement R-double cyclic codes. Also, we study reversible and reversible-complement double cyclic codes over R for non-separable case and construct some optimal R-double cyclic codes, and several DNA codes to support our results.

Source: Mathematics

DOI: 10.3390/math14010040

Authors: Amal S. Alali, Mohd Anwar, Muzibur Rahman Mozumder

Institutions: Princess Nourah bint Abdulrahman University, Aligarh Muslim University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Princess Nourah Bint Abdulrahman University