从256阶环上的斜循环码中获得可逆DNA编码

Q3 Mathematics

Journal of Algebra Combinatorics Discrete Structures and Applications Pub Date : 2021-01-15 DOI:10.13069/JACODESMATH.864902

N. Aydin, Y. Cengellenmis, A. Dertli

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引用次数: 2

摘要

我们在有限环$\R$上引入了斜循环码，其中$u^{2}=0，v^{2}=v，w^{2｝=w，uv=vu，uw=wu，vw=wv$，并用它们构造可逆的DNA码。这枚4枚戒指与这枚戒指的元素相匹配。解决了DNA 4-碱基的可逆性问题，并提供了一些实例。

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Reversible DNA codes from skew cyclic codes over a ring of order 256

We introduce skew cyclic codes over the finite ring $\R$, where $u^{2}=0,v^{2}=v,w^{2}=w,uv=vu,uw=wu,vw=wv$ and use them to construct reversible DNA codes. The 4-mers are matched with the elements of this ring. The reversibility problem for DNA 4-bases is solved and some examples are provided.

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来源期刊

Journal of Algebra Combinatorics Discrete Structures and Applications Mathematics-Algebra and Number Theory

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

5 weeks