Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals
© 2018 Elsevier B.V. For any odd prime p, negacyclic codes of length 4p s over the finite commutative chain ring F p m +uF p m are investigated. The algebraic structures of such codes are classified and completely determined. As an application, the number of codewords and the dual of each negacyclic...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041686265&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/48445 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-48445 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-484452018-04-25T10:12:29Z Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta © 2018 Elsevier B.V. For any odd prime p, negacyclic codes of length 4p s over the finite commutative chain ring F p m +uF p m are investigated. The algebraic structures of such codes are classified and completely determined. As an application, the number of codewords and the dual of each negacyclic code are obtained. Simpler structure of cyclic codes of length 4p s over F p m +uF p m is also noted. Among others, some self-dual negacyclic and cyclic codes of length 4p s over F p m +uF p m are provided. 2018-04-25T10:12:29Z 2018-04-25T10:12:29Z 2018-04-01 Journal 0012365X 2-s2.0-85041686265 10.1016/j.disc.2017.12.019 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041686265&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/48445 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| description |
© 2018 Elsevier B.V. For any odd prime p, negacyclic codes of length 4p s over the finite commutative chain ring F p m +uF p m are investigated. The algebraic structures of such codes are classified and completely determined. As an application, the number of codewords and the dual of each negacyclic code are obtained. Simpler structure of cyclic codes of length 4p s over F p m +uF p m is also noted. Among others, some self-dual negacyclic and cyclic codes of length 4p s over F p m +uF p m are provided. |
| format |
Journal |
| author |
Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta |
| spellingShingle |
Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals |
| author_facet |
Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals |
| title_short |
Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals |
| title_full |
Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals |
| title_fullStr |
Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals |
| title_full_unstemmed |
Negacyclic codes of length 4p<sup>s</sup>over F<inf>p<sup>m</sup></inf>+uF<inf>p<sup>m</sup></inf>and their duals |
| title_sort |
negacyclic codes of length 4p<sup>s</sup>over f<inf>p<sup>m</sup></inf>+uf<inf>p<sup>m</sup></inf>and their duals |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041686265&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/48445 |
| _version_ |
1681423250391826432 |