Quantum codes from skew constacyclic codes over the ring F<inf>q</inf>[u,v]∕〈u<sup>2</sup>−1,v<sup>2</sup>−1,uv−vu〉
© 2019 Elsevier B.V. In this paper, we study quantum error-correcting codes from skew constacyclic codes over the ring [Formula presented], where q=pm for any odd prime p and positive integer m. We decompose skew constacyclic codes over the ring R as a direct sum of skew constacyclic codes over Fq....
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| Main Authors: | , , , , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075757909&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68455 |
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| Institution: | Chiang Mai University |
| Summary: | © 2019 Elsevier B.V. In this paper, we study quantum error-correcting codes from skew constacyclic codes over the ring [Formula presented], where q=pm for any odd prime p and positive integer m. We decompose skew constacyclic codes over the ring R as a direct sum of skew constacyclic codes over Fq. Self-dual skew constacyclic codes over the ring R are characterized. Necessary and sufficient conditions for skew negacyclic and skew constacyclic codes to be dual-containing are obtained. As an application, we construct new quantum error-correcting codes from skew constacyclic codes over Fq. |
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