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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hai Q. Dinh | en_US |
| dc.contributor.author | Abhay Kumar Singh | en_US |
| dc.contributor.author | Sukhamoy Pattanayak | en_US |
| dc.contributor.author | Songsak Sriboonchitta | en_US |
| dc.date.accessioned | 2018-09-05T04:25:23Z | - |
| dc.date.available | 2018-09-05T04:25:23Z | - |
| dc.date.issued | 2018-07-01 | en_US |
| dc.identifier.issn | 15737586 | en_US |
| dc.identifier.issn | 09251022 | en_US |
| dc.identifier.other | 2-s2.0-85027868324 | en_US |
| dc.identifier.other | 10.1007/s10623-017-0405-x | en_US |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027868324&origin=inward | en_US |
| dc.identifier.uri | http://cmuir.cmu.ac.th/jspui/handle/6653943832/58489 | - |
| dc.description.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. | en_US |
| dc.subject | Computer Science | en_US |
| dc.subject | Mathematics | en_US |
| dc.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> | en_US |
| dc.type | Journal | en_US |
| article.title.sourcetitle | Designs, Codes, and Cryptography | en_US |
| article.volume | 86 | en_US |
| article.stream.affiliations | Ton-Duc-Thang University | en_US |
| article.stream.affiliations | Kent State University | en_US |
| article.stream.affiliations | Indian Institute of Technology (Indian School of Mines), Dhanbad | en_US |
| article.stream.affiliations | Chiang Mai University | en_US |
| Appears in Collections: | CMUL: Journal Articles | |
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