In this paper, we mainly study the theory of linear codes over the ring R= Z _4+ u Z _4+ v Z
_4+ uv Z _4 R= Z 4+ u Z 4+ v Z 4+ uv Z 4. By using the Chinese Remainder Theorem, we …

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 …

In this letter, we discuss the construction of all constacyclic codes over. Some significant
properties of linear codes over have been explored. The self-dual constacyclic codes for odd …

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 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 …

In this paper, we mainly study the theory of linear codes over the ring $ R=\mathbb {Z} _4+
u\mathbb {Z} _4+ v\mathbb {Z} _4+ uv\mathbb {Z} _4 $. By the Chinese Remainder …

Some results on linear codes over the ring Z4+ uZ4+ vZ4, u2= u, v2= v, uv= vu= 0 in [6, 7]
are generalized to the ring Dt= Z4+ v1Z4+...+ vtZ4, v2 i= vi, vivj= vj vi= 0 for i= j, 1≤ i, j≤ t. A …

In this paper, we study skew cyclic and quasi cyclic codes over the ring S= F2+ uF2+ vF2
where u2= u, v2= v, uv= vu= 0. We investigate the structural properties of them. Using a Gray …

For odd length $ n $, the cyclic codes construction over $\Re=\Z_4 [v]/\langle v^ 2-v\rangle $
is provided. The hulls of cyclic codes over $\Re $ are studied. The average $2 $-dimension …