Work

A Matrix-Theoretic Approach to the Construction of Reversible DNA Codes Over F ₄² t

Year: 2025

Type: article

Abstract: Letn,k, andtbe the positive integers. The primary aim of this paper is to introduce a new approach for the construction of reversible and reversible DNA codes using the concept of double-reflected matrices of any matrices over a commutative ringRand the finite fieldF42t, respectively. The key benefit of our research is that we can generate reversible and reversible DNA codes using anyk×nmatrix with rankk. Moreover, this approach enables the determination of a lower bound for the distance before completing the whole calculation process. We also provide a detailed table presenting some outcomes related to MDS codes, AMDS codes and their associated parameters. Additionally, we include several examples to illustrate our constructions. In the last example, we construct a correspondence table between DNA sequences of length 20 and all 256 elements of the linear codeCoverF16to demonstrate that non-reversible codes may correspond to reversible DNA codes.

Source: IEEE Access

DOI: 10.1109/access.2025.3638664

Authors: Elif Segah Oztas, Amal S. Alali, Shakir Ali, Mohd Azeem, Muhammad S. M. Asri, Kok Bin Wong

Institutions: Karamanoğlu Mehmetbey University, Princess Nourah bint Abdulrahman University, Aligarh Muslim University, University of Malaya

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,075

Funders: University Grants Commission, Princess Nourah Bint Abdulrahman University, Türkiye Bilimsel ve Teknolojik Araştırma Kurumu