Constacyclic codes over finite commutative semi-simple rings
© 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-con...
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th-cmuir.6653943832-573332018-09-05T03:44:52Z Constacyclic codes over finite commutative semi-simple rings Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Engineering Mathematics © 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-containing λ-constacyclic codes over finite semi-simple rings are provided. Using the CSS and Hermitian constructions, quantum MDS codes over finite semi-simple rings are constructed. 2018-09-05T03:38:44Z 2018-09-05T03:38:44Z 2017-05-01 Journal 10902465 10715797 2-s2.0-85006377812 10.1016/j.ffa.2016.11.008 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006377812&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57333 |
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Engineering Mathematics |
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Engineering Mathematics Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Constacyclic codes over finite commutative semi-simple rings |
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© 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-containing λ-constacyclic codes over finite semi-simple rings are provided. Using the CSS and Hermitian constructions, quantum MDS codes over finite semi-simple rings are constructed. |
| format |
Journal |
| author |
Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta |
| author_facet |
Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
Constacyclic codes over finite commutative semi-simple rings |
| title_short |
Constacyclic codes over finite commutative semi-simple rings |
| title_full |
Constacyclic codes over finite commutative semi-simple rings |
| title_fullStr |
Constacyclic codes over finite commutative semi-simple rings |
| title_full_unstemmed |
Constacyclic codes over finite commutative semi-simple rings |
| title_sort |
constacyclic codes over finite commutative semi-simple rings |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006377812&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57333 |
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