Skew constacyclic codes over finite commutative semi-simple rings
© 2019 Korean Mathematical Society. This paper investigates skew Θ-λ-constacyclic codes over R = F0 ⊕ F1 ⊕ · ⊕ Fk−1, where Fi’s are finite fields. The structures of skew λ-constacyclic codes over finite commutative semi-simple rings and their duals are provided. Moreover, skew λ-constacyclic codes o...
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th-cmuir.6653943832-657062019-08-05T04:39:52Z Skew constacyclic codes over finite commutative semi-simple rings Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta Mathematics © 2019 Korean Mathematical Society. This paper investigates skew Θ-λ-constacyclic codes over R = F0 ⊕ F1 ⊕ · ⊕ Fk−1, where Fi’s are finite fields. The structures of skew λ-constacyclic codes over finite commutative semi-simple rings and their duals are provided. Moreover, skew λ-constacyclic codes of arbitrary length are studied under a new definition. We also show that a skew cyclic code of arbitrary length over finite commutative semi-simple rings is equivalent to either a cyclic code over R or a quasi-cyclic code over R. 2019-08-05T04:39:52Z 2019-08-05T04:39:52Z 2019-01-01 Journal 22343016 10158634 2-s2.0-85067238208 10.4134/BKMS.b180314 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85067238208&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65706 |
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Mathematics Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta Skew constacyclic codes over finite commutative semi-simple rings |
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© 2019 Korean Mathematical Society. This paper investigates skew Θ-λ-constacyclic codes over R = F0 ⊕ F1 ⊕ · ⊕ Fk−1, where Fi’s are finite fields. The structures of skew λ-constacyclic codes over finite commutative semi-simple rings and their duals are provided. Moreover, skew λ-constacyclic codes of arbitrary length are studied under a new definition. We also show that a skew cyclic code of arbitrary length over finite commutative semi-simple rings is equivalent to either a cyclic code over R or a quasi-cyclic code over R. |
| format |
Journal |
| author |
Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta |
| author_facet |
Hai Q. Dinh Bac Trong Nguyen Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
Skew constacyclic codes over finite commutative semi-simple rings |
| title_short |
Skew constacyclic codes over finite commutative semi-simple rings |
| title_full |
Skew constacyclic codes over finite commutative semi-simple rings |
| title_fullStr |
Skew constacyclic codes over finite commutative semi-simple rings |
| title_full_unstemmed |
Skew constacyclic codes over finite commutative semi-simple rings |
| title_sort |
skew constacyclic codes over finite commutative semi-simple rings |
| publishDate |
2019 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85067238208&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65706 |
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