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| Constacyclic Hermitian Dual-containing Codes over Finite Fields and Their Application |
| ZHU Shixin HUANG Shan LI Jin |
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Abstract In this paper, constacyclic codes over the finite field GF(q2) of length (q2m-1)/(q2-1) are studied.
A sufficient and necessary condition for a class of constacyclic codes to be Hermitian dual-containing codes is given, and the parameters of this class of constacyclic codes are determined. Using Hermitian construction, the obtained quantum codes, are better than the parameters of quantum BCH codes.
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Received: 20 July 2017
Published: 14 March 2018
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| Fund:The National Natural Science Foundation of China (61772168, 61572168), The Natural Science Found of Anhui Province (1508085SQA198, 1708085QA01) |
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Corresponding Authors:
HUANG Shan
E-mail: huangshan5197@163.com
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