On the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Bases
Mathematics in Computer Science, vol.14, no.2, pp.431-435, 2020 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 2
- Publication Date: 2020
- Doi Number: 10.1007/s11786-019-00424-5
- Journal Name: Mathematics in Computer Science
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, INSPEC, zbMATH
- Page Numbers: pp.431-435
- Keywords: DNA codes, Reversibility, Skew codes
- Trakya University Affiliated: Yes
Abstract
The DNA 4-bases are matched with the 256 elements of the finite ring R= F4+ uF4+ vF4+ uvF4, 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.