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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Bibliographic Details
Main Authors: Hai Q. Dinh, Bac Trong Nguyen, Songsak Sriboonchitta
Format: Journal
Published: 2019
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Online Access: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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Institution: Chiang Mai University
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Summary:© 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.