Reversible complement cyclic codes over finite chain rings
Information Theory
2023-08-02 v1 math.IT
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.
Keywords
Cite
@article{arxiv.2308.00642,
title = {Reversible complement cyclic codes over finite chain rings},
author = {Monika Dalal and Sucheta Dutt and Ranjeet Sehmi},
journal= {arXiv preprint arXiv:2308.00642},
year = {2023}
}