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arXiv · 2308.00642

Reversible complement cyclic codes over finite chain rings

Monika Dalal·Sucheta Dutt·Ranjeet Sehmi
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Abstract

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 code to be a (u,k) reversible complement code over R. Using these conditions, all principally generated cyclic codes over the ring Z_{2}+vZ_{2}+v^{2}Z_{2}, v^{3}=0 of length 4 have been checked to find whether they are (1,1) reversible complement or not.

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Monika Dalal, Sucheta Dutt, Ranjeet Sehmi. 2023-08-01. Reversible complement cyclic codes over finite chain rings. https://arxiv.org/abs/2308.00642

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