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20232026
most citedStructure and Rank of Cyclic codes over a class of non-chain rings

1 citations · 2 across the 9 of their papers we have counts for

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9 papers

cs.IT2026

Two-dimensional constacyclic codes over finite chain rings

Vaishali Singh, Sucheta Dutt, Ridhima Thakral

The main focus of this paper is on the algebraic structure of two-dimensional -constacyclic codes of length over finite chain rings with residue field $\mat…

cs.IT2026

On the structure of constacyclic codes over finite chain rings

Vaishali Singh, Sucheta Dutt, Ridhima Thakral

In the present paper, we provide an explicit construction for generators of a -constacyclic code of arbitrary length over a finite chain ring(FCR) $\mathcal…

math.AC2024

On constacyclic codes over a class of non-chain rings

Nikita Jain, Sucheta Dutt, Ranjeet Sehmi

In this paper, a unique form of generators of a constacyclic code of arbitrary length over a non-chain ring of the type has…

cs.IT2023

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…

cs.IT2023★ 1 cited

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…

cs.IT2023

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…

cs.IT2023

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…

cs.IT2023

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…

cs.IT2023★ 1 cited

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…