Let R k= Z 4 [u 1, u 2,…, uk]/⟨ ui 2− ui, uiuj− ujui⟩ be a non-chain ring of characteristic 4,
where 1≤ i, j≤ k and k≥ 1. In this article, we discuss reversible cyclic codes of odd lengths …

Mathematical modeling is a key tool used in the field of systems biology to determine the
mechanisms with which the elements of biological systems interact to produce complex …

Abstract Let R= Z 4 [u, v]/⟨ u 2-2, uv-2, v 2, 2 u, 2 v⟩ be a ring, where Z 4 is a ring of integers
modulo 4. This ring R is a local non-chain ring of characteristic 4. The main objective of this …

For a prime $ p $ and a positive integer $ m $, let $\mathbb {F} _ {p^ m} $ be the finite field of
characteristic $ p $, and $\mathfrak {R} _l:=\mathbb {F} _ {p^ m}[v]/\langle v^ lv\rangle $ be a …

Let n≥ 1 be a fixed integer. Within this study, we present a novel approach for discovering
reversible codes over rings, leveraging the concept of r-glifted polynomials. This technique …

Let n≥ 1 be a fixed integer. Within this study, we present a novel approach for discovering
reversible codes over rings, leveraging the concept of r-glifted polynomials. This technique …

The aim of this paper is to study DNA codes using some Gray images of codes over the
chain rings S= F 4 t [u]< uk> and R= F 4 [v]⁄< v tk>. The special cases t= 1 and k= 2, 3 were …

This paper presents the study of DNA codes over the chain ring 고 “F4vF4 with v2 “0 and
mixed alphabet F4 고. First, we characterize skew cyclic codes over these rings and study …