In this paper, we study some properties of cyclic and constacyclic codes over the ring R=
Z4+ u Z4+ v Z4 where u 2= uv= vu= 0. The generator polynomials and minimal spanning set …

Let R= F p+ u F p+ v F p+ uv F p, where p is a prime and u 2= u, v 2= v, uv= v u. It is a semi-
local ring, not a chain ring. In this paper, some properties of linear codes over the ring R are …

In this paper, we study cyclic codes over the ring F p×(F p+ v F p), where p is an odd prime
and v 2= v. We first investigate the properties of the ring F p×(F p+ v F p) and the linear …

In this paper, we study skew constacyclic codes over the ring $\mathbb {Z} _ {q} R $ where $
R=\mathbb {Z} _ {q}+ u\mathbb {Z} _ {q} $, $ q= p^{s} $ for a prime $ p $ and $ u^{2}= 0. $ We …

The rings Z4+ νZ4 have been classified into chain rings and nonchain rings based on the
values of ν2∈ Z4+ νZ4. In this paper, the structure of a cyclic code of arbitrary length over …

This article provides a comprehensive overview of the study of linear codes and cyclic codes
over finite rings and their generalizations. It discusses the structural properties of these …

In this paper, three new automorphisms were identified over the ring $\mathbb {Z} _ {4}+
u\mathbb {Z} _ {4}+ u^{2}\mathbb {Z} _ {4} $ where $ u^ 3= u^ 2$. With the help of these …

In this paper, we study cyclic codes of length n over R= Zq+ uZq, u2= 0, where q is a power
of a prime p and (n; p)= 1. We have determined the complete ideal structure of R. Using this …

In this article, the structure of generator polynomial of the cyclic codes with odd length is
formed over the ring $\mathbb {Z} _ {4}+ u\mathbb {Z} _ {4}+ u^{2}\mathbb {Z} _ {4} $ where …

In this paper, three new automorphisms were identified over the ring Z4+ uZ4+ u2 Z4 where
u3= u2. With the help of these automorphisms, the characteristic structures of the generator …