Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2
© 2017 Springer Science+Business Media, LLC We study the structure of cyclic DNA codes of odd length over the finite commutative ring (Formula presented.), 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...
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th-cmuir.6653943832-401682017-09-28T04:08:05Z Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 Dinh H. Singh A. Pattanayak S. Sriboonchitta S. © 2017 Springer Science+Business Media, LLC We study the structure of cyclic DNA codes of odd length over the finite commutative ring (Formula presented.), 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 (Formula presented.). 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. 2017-09-28T04:08:05Z 2017-09-28T04:08:05Z Journal 09251022 2-s2.0-85027868324 10.1007/s10623-017-0405-x https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027868324&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40168 |
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© 2017 Springer Science+Business Media, LLC We study the structure of cyclic DNA codes of odd length over the finite commutative ring (Formula presented.), 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 (Formula presented.). 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. |
| format |
Journal |
| author |
Dinh H. Singh A. Pattanayak S. Sriboonchitta S. |
| spellingShingle |
Dinh H. Singh A. Pattanayak S. Sriboonchitta S. Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 |
| author_facet |
Dinh H. Singh A. Pattanayak S. Sriboonchitta S. |
| author_sort |
Dinh H. |
| title |
Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 |
| title_short |
Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 |
| title_full |
Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 |
| title_fullStr |
Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 |
| title_full_unstemmed |
Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 |
| title_sort |
cyclic dna codes over the ring f2+uf2+vf2+uvf2+v2f2+uv2f2 |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027868324&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40168 |
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1681421760109477888 |