Nikita Jain

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

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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 $R_{_{θ}} = Z_{4} + ν Z_{4}, ν^{2} = θ \in Z_{4} + ν Z_{4}$ has…

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 $Z_{4} + ν Z_{4}$ for $ν^{2} \in {0, 1, ν, 2 ν, 3 ν, 2 + ν, 2 + 3 ν, 3 + 2 ν}$ to be…

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 $Z_{4} + ν Z_{4}$ have been classified into chain rings and non-chain rings on the basis of the values of $ν^{2} \in Z_{4} + ν Z_{4} .$ In this paper, the structure of cyclic co…