In this paper, we study skew constacyclic codes over a class of non-chain rings T= F q [u 1, u
2,…, ur]/⟨ fi (ui), uiuj-ujui⟩ i, j= 1 r, where q= pm, p is some odd prime, m is a positive …

In this paper, we discuss double circulant and double negacirculant codes over a family of
finite rings R t= F q+ v 1 F q+ v 2 F q+⋯+ vt F q;(vi 2= vi, vivj= vjvi= 0, i, j= 1, 2,…, t, i≠ j) …

In linear coding theory, self-dual cyclic codes are especially notable for their efficiency in
both encoding and decoding processes. This research focuses on the enumeration of such …

We study the structure of linear codes over the ring B_k B k which is defined by F _ p^ r v_1,
v_2, ..., v_k/⟨ v_i^ 2= v_i,~ v_iv_j= v_jv_i ⟩ _ i, j= 1^ k F pr v 1, v 2,…, vk/⟨ vi 2= vi, vivj …

Cyclic code is one of the important type of linear codes. This type of codes has interesting
algebraic sturctures and important applications. One of the generalization of cyclic codes is …

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 …

Our paper delves into exploring skew cyclic codes over a generalized class of rings denoted
by T= T< sub> r. We define T< sub> r= F< sub> q[u< sub> 1, u< sub> 2,..., u< sub> r]/(u< …

Skew cyclic codes over Bk= Fpr [v1,···, vk]/〈 v2 i− vi, vivj− vjvi〉 have been studied by
Irwansyah et al in 2018. In this paper we use B1= Fp2 [v]/〈 v2− v〉 and the Gray map ϕ …

In this work, we study a class of skew cyclic codes over the ring $ R:=\mathbb {Z} _4+
v\mathbb {Z} _4, $ where $ v^ 2= v, $ with an automorphism $\theta $ and a derivation …

We study the structure of linear codes over the ring $ B_k $ which is defined by $\mathbb {F}
_ {p^ r}[v_1, v_2,\ldots, v_k]/\langle v_i^ 2= v_i,~ v_iv_j= v_jv_i\rangle_ {i, j= 1}^ k. $ In order …