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论文:2016,Vol:34,Issue(5):874-878 |
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引用本文： |
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马月娜, 冯晓毅, 苏志忠, 刘杨. 两类非对称量子码的构造[J]. 西北工业大学学报 |
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Ma Yuena, Feng Xiaoyi, Su Zhizhong, Liu Yang. Two Families of Dual Containing BCH Codes[J]. Northwestern polytechnical university |
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| 两类非对称量子码的构造 |
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| 马月娜1,2, 冯晓毅1, 苏志忠3, 刘杨2,3 |
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1. 西北工业大学 电子信息学院, 陕西 西安 710072;
2. 空军工程大学 理学院, 陕西 西安 710051;
3. 空军第一航空学院 训练部, 河南 信阳 464000 |
| 摘要: |
| 通过分圆陪集确定出q2-元域上2个嵌套的BCH码满足Hermite对偶包含的条件；利用这些满足Hermite对偶包含条件的本原BCH码构造出两类非对称量子码的参数，使构造出的码具有较大的z-距离，而且其参数优于已有文献中的结论，从而提高了码的纠错能力。 |
| 关键词:
非对称量子码
BCH码
Hermite对偶包含
CSS构造法
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| Two Families of Dual Containing BCH Codes |
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| Ma Yuena1,2, Feng Xiaoyi1, Su Zhizhong3, Liu Yang2,3 |
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1. School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, China;
2. School of Science, Air Force Engineering University, Xi'an 710051, China;
3. The First Aeronautical College of Air Force, Xinyang 464000, China |
| Abstract: |
| In this paper, we discuss the problem on the construction of asymmetric quantum codes from primitive narrow sense BCH codes. Take advantage of q2-ary Hermite dual containing BCH code, we construct two families of new asymmetric quantum codes with much larger z-distance. Furthermore, the parameters of our asymmetric quantum codes presented here have better than the ones avaliable in the literature. |
| Key words:
asymmetric quantum code
BCH code
Hermite dual containing
CSS construction
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| 收稿日期: 2016-04-12
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金（11471011）与陕西省自然科学基金（2015JM1023）资助 |
| 通讯作者:
Email： |
| 作者简介: 马月娜(1977-),女,西北工业大学博士研究生,主要从事编码与密码、图像处理及模式识别研究。
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参考文献: |
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