2023/04/06 by Jain, Nikita, Dutt, Sucheta, Sehmi, Ranjeet
#FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2304.02913
In this paper, necessary and sufficient conditions for a cyclic code of arbitrary length over the non-chain rings Z4+νZ4 for ν2 ∈ \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.