For any prime p, all constacyclic codes of length ps over the ring [Formula: see text] are
considered. The units of the ring R are of the forms γ and α+ uβ, where α, β, and γ are …

We introduce linear cyclic codes over the ring F/sub 2/+ uF/sub 2/={0, 1, u, u~= u+ 1}, where
u/sup 2/= 0 and study them by analogy with the Z/sub 4/case. We give the structure of these …

Skew polynomial rings over finite fields ([7] and [10]) and over Galois rings ([8]) have been
used to study codes. In this paper, we extend this concept to finite chain rings. Properties of …

In this paper, we investigate the structure and properties of cyclic codes over the ring F 2+ vF
2. We first study the relationship between cyclic codes over F 2+ vF 2 and binary cyclic …

We study all constacyclic codes of length 2 s over GR (Rfr, m), the Galois extension ring of
dimension m of the ring Rfr= F 2+ uF 2. The units of the ring GR (Rfr, m) are of the forms …

The aim of this paper is to determine the algebraic structures of all λ-constacyclic codes of
length 2 ps over the finite commutative chain ring F p m+ u F pm, where p is an odd prime …

For any odd prime p such that pm≡ 1 (mod 4), the structures of all λ-constacyclic codes of
length 4 ps over the finite commutative chain ring F p m+ u F pm (u 2= 0) are established in …

For any odd prime p, the structures of all negacyclic codes of length 2 ps over the finite
commutative chain ring F p m+ u F pm are established in term of their polynomial …

Cyclic codes over an infinite family of rings are defined. The general properties of cyclic
codes over these rings are studied, in particular nontrivial one-generator cyclic codes are …

This paper overviews the study of skew Θ‐λ‐constacyclic codes over finite fields and finite
commutative chain rings. The structure of skew Θ‐λ‐constacyclic codes and their duals are …