Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2

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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Main Authors: Hai Q. Dinh, Abhay Kumar Singh, Sukhamoy Pattanayak, Songsak Sriboonchitta
Format: Journal
Published: 2018
Subjects:
Mathematics
Agricultural and Biological Sciences
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027868324&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/46646
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-466462018-04-25T07:21:25Z Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2 Hai Q. Dinh Abhay Kumar Singh Sukhamoy Pattanayak Songsak Sriboonchitta Mathematics Agricultural and Biological Sciences © 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. 2018-04-25T06:58:56Z 2018-04-25T06:58:56Z 2017-08-19 Journal 15737586 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/6653943832/46646
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
Agricultural and Biological Sciences
spellingShingle Mathematics
Agricultural and Biological Sciences
Hai Q. Dinh
Abhay Kumar Singh
Sukhamoy Pattanayak
Songsak Sriboonchitta
Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2
description © 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 Hai Q. Dinh
Abhay Kumar Singh
Sukhamoy Pattanayak
Songsak Sriboonchitta
author_facet Hai Q. Dinh
Abhay Kumar Singh
Sukhamoy Pattanayak
Songsak Sriboonchitta
author_sort Hai Q. Dinh
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 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027868324&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/46646
_version_ 1681422913055490048

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