Vira Hari Krisnawati, Abdul Rouf Alghofari, Ardi Nur Hidayat
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. © 2025 the author(s).
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, 65145, Indonesia
