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

Abstract

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.

Keywords

• DNA codes
• Skew codes
• Reversibility

Kaynakça

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