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http://cmuir.cmu.ac.th/jspui/handle/6653943832/73058| Title: | δ-dual codes over finite commutative semi-simple rings |
| Authors: | Hai Q. Dinh Ha T. Le Bac T. Nguyen Paravee Maneejuk |
| Authors: | Hai Q. Dinh Ha T. Le Bac T. Nguyen Paravee Maneejuk |
| Keywords: | Mathematics |
| Issue Date: | 1-Jan-2022 |
| Abstract: | In this paper, δ-dual codes over finite commutative semi-simple rings are defined as a generalization of dual codes over finite commutative semi-simple rings. Some properties of δ-dual codes are given. We present necessary and sufficient conditions for a λ-constacyclic code of length n to be δ-self-dual, δ-self-orthogonal, δ-dual-containing, δ-LCD over finite commutative semi-simple rings. We also study the δ-dual of skew Θ -λ-constacyclic codes over finite commutative semi-simple rings. Among others, we also give necessary and sufficient conditions for a skew Θ -λ-constacyclic code of any length n to be δ-self-dual, δ-self-orthogonal, δ-dual-containing, δ-LCD over finite commutative semi-simple rings. |
| URI: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85128466920&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/73058 |
| ISSN: | 09381279 |
| Appears in Collections: | CMUL: Journal Articles |
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