Let F q be a finite field of order q, a prime power integer, such that q= e t+ 1 where t≥ 1, e≥
2 are integers. In this paper, we study cyclic codes of length n over a non-chain ring R e, q …

We study mixed alphabet cyclic and constacyclic codes over the two alphabets Z 4, the ring
of integers modulo 4, and its quadratic extension Z 4 [u]= Z 4+ uZ 4, u 2= 0. Their generator …

In this paper, we study the skew-cyclic codes (also called θ-cyclic codes) over the ring S= Z
4+ u Z 4+ v Z 4, where u 2= v 2= uv= vu= 0. Some structural properties of the skew …

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 …

In this paper, we first recall the skew cyclic codes of odd lengths over the ring\(\mathbb {Z}
_4+ u\mathbb {Z} _4\) with\(u^ 2= 1\) as described in Shah and Sharma (2025). Using the …

We introduce skew cyclic codes over the finite ring \R, where u^2=0,v^2=v,w^2=w,uv=vu,uw
=wu,vw=wv and use them to construct reversible DNA codes. The 4-mers are matched with …

In this paper, we study (1+ 2^ s-1 u)(1+ 2 s-1 u)-constacyclic codes and a class of skew (1+
2^ s-1 u)(1+ 2 s-1 u)-constacyclic codes of odd length over the ring R= Z _ 2^ s+ u Z _ 2^ s …

In this work, we introduce the F q R-linear skew cyclic codes, wh ere q= ps is a prime power
and R= F q+ u F q with u 2= 0. We provide the algebraic structure of these codes. The dual …

In this paper, we investigate the structure and properties of skew negacyclic codes and skew
quasi-negacyclic codes over the ring R= ℤ q+ u ℤ q, u 2= 0. Some structural properties of R …

Kodlama teorisinde, lineer kodların özel bir sınıfı olan devirli kodlar ile ilgili araştırmalar
büyük ilgi görmektedir. Bu ilginin en önemli nedenlerinden bazıları devirli kodların zengin …