有限域上常循环厄密特对偶包含码及其应用

朱士信; 黄山; 李锦

doi:10.11999/JEIT170735

有限域上常循环厄密特对偶包含码及其应用

doi: 10.11999/JEIT170735

基金项目:

国家自然科学基金(61772168, 61572168)，安徽省自然科学基金(1508085SQA198, 1708085QA01)

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- 文章访问数: 1228
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- 被引次数: 0
出版历程
- 收稿日期: 2017-07-20
- 修回日期: 2018-01-10
- 刊出日期: 2018-05-19

Constacyclic Hermitian Dual-containing Codes over Finite Fields and Their Application

Funds:

The National Natural Science Foundation of China (61772168, 61572168), The Natural Science Found of Anhui Province (1508085SQA198, 1708085QA01)

摘要

摘要: 该文研究了有限域GF(q2)上长度为(q2m-1)/(q2-1)的常循环码。给出一类常循环码是厄米特对偶包含码的一个充要条件，并确定了这类常循环厄米特对偶包含码的参数。利用厄米特构造，得到了比量子BCH码参数更好的量子纠错码。
- 量子码 /
- 厄米特构造 /
- 常循环码 /
- 分圆陪集
Abstract: In this paper, constacyclic codes over the finite fieldGF(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.
- Quantum codes /
- Hermitian construction /
- Constacyclic codes /
- Cyclotomic cosets

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参考文献(16)

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