Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
© 2016 Hai Q. Dinh et al. This paper overviews the study of skew Θ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ...
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th-cmuir.6653943832-425862017-09-28T04:27:52Z Skew Constacyclic Codes over Finite Fields and Finite Chain Rings Dinh H. Nguyen B. Sriboonchitta S. © 2016 Hai Q. Dinh et al. This paper overviews the study of skew Θ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ-cyclic and skew Θ-negacyclic codes over finite chain rings in general and over Fpm+uFpm in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed. 2017-09-28T04:27:52Z 2017-09-28T04:27:52Z 2016-01-01 Journal 1024123X 2-s2.0-84962691328 10.1155/2016/3965789 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84962691328&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42586 |
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© 2016 Hai Q. Dinh et al. This paper overviews the study of skew Θ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ-cyclic and skew Θ-negacyclic codes over finite chain rings in general and over Fpm+uFpm in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed. |
| format |
Journal |
| author |
Dinh H. Nguyen B. Sriboonchitta S. |
| spellingShingle |
Dinh H. Nguyen B. Sriboonchitta S. Skew Constacyclic Codes over Finite Fields and Finite Chain Rings |
| author_facet |
Dinh H. Nguyen B. Sriboonchitta S. |
| author_sort |
Dinh H. |
| title |
Skew Constacyclic Codes over Finite Fields and Finite Chain Rings |
| title_short |
Skew Constacyclic Codes over Finite Fields and Finite Chain Rings |
| title_full |
Skew Constacyclic Codes over Finite Fields and Finite Chain Rings |
| title_fullStr |
Skew Constacyclic Codes over Finite Fields and Finite Chain Rings |
| title_full_unstemmed |
Skew Constacyclic Codes over Finite Fields and Finite Chain Rings |
| title_sort |
skew constacyclic codes over finite fields and finite chain rings |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84962691328&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42586 |
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