AbstractIn this paper we give the structure of constacyclic codes over formal power series and chain rings. We also present necessary and sufficient conditions on the existence of MDS codes over principal ideal rings. These results allow for the construction of infinite families of MDS self-dual codes over finite chain rings, formal power series and principal ideal rings. We also define the Reed–Solomon codes over principal ideal rings
We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/ upk ...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
AbstractIn this paper, we explore constacyclic self-dual codes over Z2m. We first characterize const...
Let R be a finite commutative chain ring of characteristic p with invariants p,r, and k. In this pap...
We present linear codes over finite commutative rings which are not necessarily Frobenius. We treat ...
In this study, we consider linear and especially cyclic codes over the non-chain ring $Z_{p}[v]/\lan...
Abstract. In previous works we considered codes defined as ideals of quotients of skew polynomial ri...
Cyclic codes with symbols from a residue class integer ring Zm are characterized in terms of the dis...
International audienceWe generalize the construction of linear codes via skew polynomial rings by us...
In this paper, we study lifted codes over finite chain rings. We use γ-adic codes over a formal powe...
Codes over finite rings have been studied in the early 1970’s [4]. A great deal of attention has bee...
This paper overviews the study of skew Θ-λ-constacyclic codes over finite fields and finite commutat...
We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/ upk ...
We introduce linear cyclic codes over the ring F 2 + uF 2 = f0; 1; u; u = u + 1g, where u 2 = 0. T...
A code of length n and size M consist of a set of M vectors of n components. The components being ta...
We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/ upk ...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
AbstractIn this paper, we explore constacyclic self-dual codes over Z2m. We first characterize const...
Let R be a finite commutative chain ring of characteristic p with invariants p,r, and k. In this pap...
We present linear codes over finite commutative rings which are not necessarily Frobenius. We treat ...
In this study, we consider linear and especially cyclic codes over the non-chain ring $Z_{p}[v]/\lan...
Abstract. In previous works we considered codes defined as ideals of quotients of skew polynomial ri...
Cyclic codes with symbols from a residue class integer ring Zm are characterized in terms of the dis...
International audienceWe generalize the construction of linear codes via skew polynomial rings by us...
In this paper, we study lifted codes over finite chain rings. We use γ-adic codes over a formal powe...
Codes over finite rings have been studied in the early 1970’s [4]. A great deal of attention has bee...
This paper overviews the study of skew Θ-λ-constacyclic codes over finite fields and finite commutat...
We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/ upk ...
We introduce linear cyclic codes over the ring F 2 + uF 2 = f0; 1; u; u = u + 1g, where u 2 = 0. T...
A code of length n and size M consist of a set of M vectors of n components. The components being ta...
We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/ upk ...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
AbstractIn this paper, we explore constacyclic self-dual codes over Z2m. We first characterize const...
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