On the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Bases
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Basel Ag
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
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.
Description
Keywords
Skew Codes, DNA Codes, Reversibility
Journal or Series
Mathematics In Computer Science
WoS Q Value
N/A
Scopus Q Value
Q3
Volume
14
Issue
2
