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| Skew Constacyclic Codes over a Family of Finite Rings and TheirApplications to LCD and Quantum Codes |
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Citation： |
Abdullah DERTLI.Skew Constacyclic Codes over a Family of Finite Rings and TheirApplications to LCD and Quantum Codes[J].Chinese Annals of Mathematics B,2025,46(6):937~950 |
| Page view： 108
Net amount： 47 |
Authors： |
Abdullah DERTLI; |
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| Abstract： |
This paper studies skew constacyclic codes over a family of finite rings denoted
by Bk to obtain quantum codes over the fields Fpr and to construct Euclidean LCD skew
constacyclic codes. The author investigates the structural properties of skew constacyclic
codes over Bk using a decomposition approach, and also finds necessary and sufficient
conditions for skew constacyclic codes that contain their duals. Finally, the author gives
some examples of quantum codes obtained via the construction and LCD codes. |
Keywords： |
Quantum codes, Skew constacyclic codes, LCD codes, Gray map |
Classification： |
94B05, 94B15, 81P70, 94B60 |
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