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Cyclic DNA codes over the ring $\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$
2021
Journal:  
Journal of Algebra Combinatorics Discrete Structures and Applications
Author:  
DOI:  
10.13069/jacodesmath.1000959
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.

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2021
Journal:  
Journal of Algebra Combinatorics Discrete Structures and Applications
Author:  
DOI:  
10.13069/jacodesmath.1000959
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Journal of Algebra Combinatorics Discrete Structures and Applications

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

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Article : 169
Cite : 4
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Journal of Algebra Combinatorics Discrete Structures and Applications