On the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Bases

被引：1

作者：

Cengellenmis, Yasemin ^{[1
]}

Dertli, Abdullah ^{[2
]}

机构：

[1] Trakya Univ, Fac Sci, Math Dept, Edirne, Turkey

[2] Ondokuz Mayis Univ, Fac Arts & Sci, Math Dept, Samsun, Turkey

来源：

MATHEMATICS IN COMPUTER SCIENCE | 2020年 / 14卷 / 02期

关键词：

Skew codes; DNA codes; Reversibility;

D O I：

10.1007/s11786-019-00424-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The DNA 4-bases are matched with the 256 elements of the finite ring R=F4+uF4+vF4+uvFR=F_{4}+uF_{4}+vF_{4}+uvF_{4}$$\end{document}, where u2=u,v2=v,uv=vu. By defining a non trivial automorphism over R, the skew cyclic codes over the finite ring R are introduced. The reversible DNA codes are obtained, by using the skew cyclic codes whose generator polynomials satisfy some conditions. Thanks to this, the reversibility problem for DNA 4-bases can be solved. Moreover, the Gray images of the skew cyclic codes over the finite ring are determined.

引用

页码：431 / 435

页数：5