Reversible $ G $-codes over the ring $ {\mathcal{F}}_{j,k} $ with applications to DNA codes
نویسندگان
چکیده
In this paper, we show that one can construct a \begin{document}$ G $\end{document}-code from group rings is reversible. Specifically, given with subgroup of order half the ambient an element its own inverse outside subgroup, give ordering elements for which id="M4">\begin{document}$ $\end{document}-codes are reversible index id="M5">\begin{document}$ \alpha $\end{document}. Additionally, introduce new family rings, id="M6">\begin{document}$ {\mathcal{F}}_{j,k} $\end{document}, whose base finite field id="M7">\begin{document}$ 4 $\end{document} and study id="M8">\begin{document}$ over rings. Moreover, present some possible applications id="M9">\begin{document}$ id="M10">\begin{document}$ to DNA codes. We many id="M11">\begin{document}$ id="M12">\begin{document}$ {\mathbb{F}}_4 optimal. These codes be used obtain
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ژورنال
عنوان ژورنال: Advances in Mathematics of Communications
سال: 2023
ISSN: ['1930-5346', '1930-5338']
DOI: https://doi.org/10.3934/amc.2021056