In this paper, we are interested in linear codes invariant under the (σ, δ)-action of a given
matrix M, that we call (M, σ, δ)-skew codes. Various subclasses of these codes, depending …

Let p be an odd prime and ma positive integer such that q= p 2 m. First, we give the
algebraic structure of (xn-a, ξ, η)-skew constacyclic codes and their Hermitian dual codes …

Let F q be the finite field of q elements where q= pm and p is a prime. This work presents
quantum codes from (f, σ, δ)-skew polycyclic codes (SPC) over the ring R= F q+ u F q, u 2 …

Let F q be the finite field of order q= pm where p is a prime, and m is a positive integer. This
work introduces F q R-linear (Θ, Δ Θ)-cyclic codes where R= F q+ u F q with u 2= u, ie,(Θ, Δ …

This work introduces a novel approach to constructing DNA codes from linear codes over a
non-chain extension of $\mathbb {Z} _4 $. We study $(\text {\textbaro},\mathfrak {d},\gamma) …

Let $\mathbb {F} _q $ be the finite field of $ q= p^ m $ elements where $ p $ is a prime and $
m $ is a positive integer. This paper considers $(\gamma,\Delta) $-cyclic codes over a class …

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 …

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 article, for a finite field $\mathbb {F} _q $ and a natural number $ l, $ let $\mathcal
{R}:=\mathbb {F} _q^ l. $ Firstly, for an automorphism $\Theta $ of $\mathcal {R}, $ a $\Theta …

Let $\mathbb {Z} _p $ be the ring of integers modulo a prime number $ p $ where $ p-1$ is a
quadratic residue modulo $ p $. This paper presents the study of constacyclic codes over …