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arXiv · 2304.02913

Reversible and Reversible Complement Cyclic codes over a class of non-chain rings

Nikita Jain·Sucheta Dutt·Ranjeet Sehmi
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Abstract

In this paper, necessary and sufficient conditions for a cyclic code of arbitrary length over the non-chain rings $Z_{4}+\nu Z_{4}$ for $\nu^{2} \in \{0,1,\nu,2\nu,3\nu,2+\nu,2+3\nu,3+2\nu\}$ to be a reversible cyclic code have been established. Also, conditions for a cyclic code over these non-chain rings to be a reversible complement cyclic code which are necessary as well as sufficient have been determined. Some examples of reversible and reversible complement cyclic codes over these rings have also been presented.

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Nikita Jain, Sucheta Dutt, Ranjeet Sehmi. 2023-04-06. Reversible and Reversible Complement Cyclic codes over a class of non-chain rings. https://arxiv.org/abs/2304.02913

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