Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance
© 2018 Elsevier B.V. We develop the theory for constructing DNA cyclic codes of odd length over R=Z4[u]/〈u2−1〉 based on the deletion distance. Cyclic codes of odd length over R satisfying the reverse constraint and the reverse-complement constraint are discussed. The GC-content of these codes and th...
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th-cmuir.6653943832-585982018-09-05T04:33:46Z Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance Hai Q. Dinh Abhay Kumar Singh Sukhamoy Pattanayak Songsak Sriboonchitta Computer Science Mathematics © 2018 Elsevier B.V. We develop the theory for constructing DNA cyclic codes of odd length over R=Z4[u]/〈u2−1〉 based on the deletion distance. Cyclic codes of odd length over R satisfying the reverse constraint and the reverse-complement constraint are discussed. The GC-content of these codes and their deletion distance are studied. Among others, examples of cyclic DNA codes with GC-content and their respective deletion distance are provided. 2018-09-05T04:26:39Z 2018-09-05T04:26:39Z 2018-01-01 Journal 03043975 2-s2.0-85051092264 10.1016/j.tcs.2018.06.002 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85051092264&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58598 |
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Computer Science Mathematics Hai Q. Dinh Abhay Kumar Singh Sukhamoy Pattanayak Songsak Sriboonchitta Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance |
| description |
© 2018 Elsevier B.V. We develop the theory for constructing DNA cyclic codes of odd length over R=Z4[u]/〈u2−1〉 based on the deletion distance. Cyclic codes of odd length over R satisfying the reverse constraint and the reverse-complement constraint are discussed. The GC-content of these codes and their deletion distance are studied. Among others, examples of cyclic DNA codes with GC-content and their respective deletion distance 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 |
Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance |
| title_short |
Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance |
| title_full |
Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance |
| title_fullStr |
Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance |
| title_full_unstemmed |
Construction of cyclic DNA codes over the ring Z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance |
| title_sort |
construction of cyclic dna codes over the ring z<inf>4</inf>[u]/〈u<sup>2</sup>−1〉 based on the deletion distance |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85051092264&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58598 |
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