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 cyclic codes over the ring F p×(F p+ v F p), where p is an odd prime
and v 2= v. We first investigate the properties of the ring F p×(F p+ v F p) and the linear …

In this paper, an explicit representation and enumeration for negacyclic codes of length $2^
kn $ over the local non-principal ideal ring $ R=\mathbb {Z} _4+ u\mathbb {Z} _4 $$(u^ 2= 0) …

We classify all the cyclic self-dual codes of length p^ k pk over the finite chain ring\mathcal
R:=\mathbb Z_p u/⟨ u^ 3 ⟩ R:= Z pu/⟨ u 3⟩, which is not a Galois ring, where p is a prime …

Let R= GR (pe, m)[u]∕< uk> be a finite commutative ring for a prime p and any positive
integers e, m and k. In this paper, we derive the explicit representation of cyclic codes over …

In this paper, we consider cyclic codes of odd length n over the local, non-chain ring R= Z 2
s [u]∕< uk>= Z 2 s+ u Z 2 s+…+ uk− 1 Z 2 s (uk= 0), for any integers s≥ 1 and k≥ 2. An …

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 …

Abstract Let R= ℤ 4 v/< v 2+ 2 v> R=Z_4v/⟨v^2+2v⟩. Then R is a local non-principal ideal
ring of 16 elements. First, we give the structure of every cyclic code of odd length n over R …

In this paper, we study the structure of duadic codes of an odd length $ n $ over $\mathbb {Z}
_4+ u\mathbb {Z} _4 $, $ u^ 2= 0$,(more generally over $\mathbb {Z} _ {q}+ u\mathbb {Z} …