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On Cyclic DNA Codes Over \({F}_2+u{F}_2+u^2{F}_2\)

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Abstract

In the present paper, we study the structure of cyclic DNA codes of even length over the ring \({F}_2+u{F}_2+u^2{F}_2\) where \(u^3=0\). We investigate two presentations of cyclic codes of even length over \({F}_2+u{F}_2+u^2{F}_2\) satisfying the reverse constraint and the reverse-complement constraint.

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Acknowledgements

The authors would like to thank the referees for the careful reading of the manuscript and all the suggestions that improved the paper.

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Correspondence to Hojjat Mostafanasab.

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Mostafanasab, H., Yousefian Darani, A. On Cyclic DNA Codes Over \({F}_2+u{F}_2+u^2{F}_2\). Commun. Math. Stat. 9, 39–52 (2021). https://doi.org/10.1007/s40304-019-00188-1

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