Reversible complement cyclic codes over finite chain rings

08/01/2023

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by   Monika Dalal, et al.

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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^2Z_2, v^3=0 of length 4 have been checked to find whether they are (1,1) reversible complement or not.