We first define a new Gray map from R= Z 4+ u Z 4 to Z 4 2, where u 2= 1 and study (1+ 2 u)-
constacyclic codes over R. Also of interest are some properties of (1+ 2 u)-constacyclic …

We develop the theory for constructing DNA cyclic codes of odd length over R= Z 4 [u]/< u 2−
1> based on the deletion distance. Cyclic codes of odd length over R satisfying the reverse …

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 …

In this paper, we study λ λ-constacyclic codes over the ring R= Z _4+ u Z _4 R= Z 4+ u Z 4
where u^ 2= 1 u 2= 1, for λ= 3+ 2u λ= 3+ 2 u and 2+ 3u 2+ 3 u. Two new Gray maps from R …

In this paper, we study (1+ 2u+ 2v)-constacyclic and skew (1+ 2u+ 2v)-constacyclic codes
over the ring Z4+ uZ4+ vZ4+ uvZ4 where u2= v2= 0, uv= vu. We define some new Gray …

In this paper, we study λ λ-constacyclic and skew λ λ-constacyclic codes over the ring Z _ 4
u/⟨ u^ k ⟩ Z 4 u/⟨ uk⟩ where u^ k= 0 uk= 0 with λ=(1+ 2u^ k-1) λ=(1+ 2 uk-1) and (3+ 2u^ k …

For a prime p and integer k> 1, we find the unique set of generators for cyclic codes over.
Besides, the necessary and sufficient conditions for cyclic codes to be reversible are …

In this paper, we study a class of skew-constacyclic codes over R= ℤ4+ uℤ4, which is a non-
chain extension of ℤ4. Some structural properties of R [x, θ] are discussed, where θ is an …

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 cyclic codes and constacyclic codes with shift constant (2+ u) over R=
Z 4+ u Z 4, where u 2= 1. We determine the form of the generators of the cyclic codes over …