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

04/06/2023

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by   Nikita Jain, et al.

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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∈{0,1,ν,2ν,3ν,2+ν,2+3ν,3+2ν} 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.