Reversible (bisymmetric) self-dual codes over finite fields with characteristic two and their applications to DNA codes
Abstract
Some recent studies reveal the development of reversible (bisymmetric) self-dual codes over fields of order 2 and 4. In this paper, we give new methods of constructing reversible (bisymmetric) self-dual codes over finite fields with characteristic two. This approach is motivated by the well-known reversible (bisymmetric) self-dual codes over finite fields of order two. We first investigated some properties of a reversible (bisymmetric) self-dual code over finite fields with characteristic two. Next, we developed a method to construct a new reversible (bisymmetric) self-dual code over finite fields with characteristic two. Additionally, we found an optimal reversible (bisymmetric) self-dual code over finite fields with characteristic two, and this method is applied to construct DNA codes.
- Published
- 8 May 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Vira Hari Krisnawati, Abdul Rouf Alghofari, Ardi Nur Hidayat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
V. H. Krisnawati, A. R. Alghofari, A. N. Hidayat, Reversible (bisymmetric) self-dual codes over finite fields with characteristic two and their applications to DNA codes, Commun. Math. Biol. Neurosci. 2025 (2025), 68. https://doi.org/10.28919/cmbn/9267
BibTeX
@article{Krisnawati2025,
author = {Krisnawati, Vira Hari and Alghofari, Abdul Rouf and Hidayat, Ardi Nur},
title = {Reversible (bisymmetric) self-dual codes over finite fields with characteristic two and their applications to DNA codes},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2025},
year = {2025},
pages = {68},
doi = {10.28919/cmbn/9267}
}