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-mahidol.426102019-03-14T15:03:38Z Constacyclic codes over finite commutative semi-simple rings Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta Ton-Duc-Thang University Kent State University Mahidol University University of Economics and Business Administration Chiang Mai University Engineering © 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. 2018-12-21T07:37:33Z 2019-03-14T08:03:38Z 2018-12-21T07:37:33Z 2019-03-14T08:03:38Z 2017-05-01 Article Finite Fields and their Applications. Vol.45, (2017), 1-18 10.1016/j.ffa.2016.11.008 10902465 10715797 2-s2.0-85006377812 https://repository.li.mahidol.ac.th/handle/123456789/42610 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85006377812&origin=inward |
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Engineering 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. |
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Ton-Duc-Thang University |
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Ton-Duc-Thang University Hai Q. Dinh Bac T. Nguyen Songsak Sriboonchitta |
| format |
Article |
| author |
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://repository.li.mahidol.ac.th/handle/123456789/42610 |
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1763497630913003520 |