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Title: Cyclic DNA codes over the ring F<inf>2</inf>+ uF<inf>2</inf>+ vF<inf>2</inf>+ uvF<inf>2</inf>+ v<sup>2</sup>F<inf>2</inf>+ uv<sup>2</sup>F<inf>2</inf>
Authors: Hai Q. Dinh
Abhay Kumar Singh
Sukhamoy Pattanayak
Songsak Sriboonchitta
Keywords: Computer Science
Issue Date: 1-Jul-2018
Abstract: © 2017, Springer Science+Business Media, LLC. We study the structure of cyclic DNA codes of odd length over the finite commutative ring R=F2+uF2+vF2+uvF2+v2F2+uv2F2,u2=0,v3=v, which plays an important role in genetics, bioengineering and DNA computing. A direct link between the elements of the ring R and 64 codons used in the amino acids of living organisms is established by introducing a Gray map from R to R1=F2+uF2(u2=0). The reversible and the reversible-complement codes over R are investigated. We also discuss the binary image of the cyclic DNA codes over R. Among others, some examples of DNA codes obtained via Gray map are provided.
ISSN: 15737586
Appears in Collections:CMUL: Journal Articles

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