Nikita Jain

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

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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…