Cyclic DNA codes over the ring $\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$

Year 2021, Volume: 8 Issue: 3, 219 - 231, 15.09.2021

Karthick Gowthaman Somi Gupta Cruz Mohan Kenza Guenda Durairajan Chinnapillai

https://doi.org/10.13069/jacodesmath.1000959

Cited By: 2

Abstract

In this work, we have investigated the one generator cyclic DNA codes with reverse and reverse complement constraints over the ring $R=\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$ with $u^3=0$. Skew cyclic codes with reverse complement constraint are constructed over $R$. We have also determined a one-to-one correspondence between the elements of the ring $R$ and DNA codons satisfying the Watson-Crick complement. Finally, we have established some examples which satisfy the given constraints.

Keywords

DNA codes, Skew codes, Reversible codes, DNA codes, Skew codes, Reversible codes

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