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Reversible complement cyclic codes over finite chain rings
Monika Dalal, Sucheta Dutt, Ranjeet Sehmi
Let k be an arbitrary element of a finite commutative chain ring R and u be a unit in R. In this work, we present necessary conditions which are sufficient as well for a cyclic cod…
Reversible cyclic codes over finite chain rings
Monika Dalal, Sucheta Dutt, Ranjeet Sehmi
In this paper, necessary and sufficient conditions for the reversibility of a cyclic code of arbitrary length over a finite commutative chain ring have been derived. MDS reversible…
Reversible and Reversible Complement Cyclic codes over a class of non-chain rings
Nikita Jain, Sucheta Dutt, Ranjeet Sehmi
In this paper, necessary and sufficient conditions for a cyclic code of arbitrary length over the non-chain rings for to be…
MDS and MHDR cyclic codes over finite chain rings
Monika Dalal, Sucheta Dutt, Ranjeet Sehmi
In this work, a unique set of generators for a cyclic code over a finite chain ring has been established. The minimal spanning set and rank of the code have also been determined. F…
An Algorithm to find the Generators of Multidimensional Cyclic Codes over a Finite Chain Ring
Disha, Sucheta Dutt
The aim of this paper is to determine the algebraic structure of multidimensional cyclic codes over a finite chain ring . An algorithm to find the generator polynomia…
Structure and Rank of Cyclic codes over a class of non-chain rings
Nikita Jain, Sucheta Dutt, Ranjeet Sehmi
The rings have been classified into chain rings and non-chain rings on the basis of the values of In this paper, the structure of cyclic co…