Construction of DNA codes using $θ$-skew cyclic codes over $\mathbb{F}_4 + v \mathbb{F}_4$
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910980098752512 |
|---|---|
| author | Kabore, Joël Charkani, Mohammed Elhassani |
| author_facet | Kabore, Joël Charkani, Mohammed Elhassani |
| contents | In this paper, we investigate $θ$-skew cyclic codes over the ring $R= \mathbb{F}_4 + v \mathbb{F}_4$, where $v^2=v$ and $θ$ is a non-trivial automorphism over $\mathbb{F}_4 + v \mathbb{F}_4$. This allows us to describe DNA code over this ring by characterizing $θ$-skew cyclic reversible DNA codes and $θ$-skew cyclic reversible complement DNA codes. We also explore the Gray images of $θ$-skew cyclic codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01236 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Construction of DNA codes using $θ$-skew cyclic codes over $\mathbb{F}_4 + v \mathbb{F}_4$ Kabore, Joël Charkani, Mohammed Elhassani Information Theory 94B05, 94B60, 11T71 In this paper, we investigate $θ$-skew cyclic codes over the ring $R= \mathbb{F}_4 + v \mathbb{F}_4$, where $v^2=v$ and $θ$ is a non-trivial automorphism over $\mathbb{F}_4 + v \mathbb{F}_4$. This allows us to describe DNA code over this ring by characterizing $θ$-skew cyclic reversible DNA codes and $θ$-skew cyclic reversible complement DNA codes. We also explore the Gray images of $θ$-skew cyclic codes. |
| title | Construction of DNA codes using $θ$-skew cyclic codes over $\mathbb{F}_4 + v \mathbb{F}_4$ |
| topic | Information Theory 94B05, 94B60, 11T71 |
| url | https://arxiv.org/abs/2506.01236 |