| 量子突发纠错乘积码的构造 |
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| 引用本文： | 白姗姗,陈丙亚,周晓娜.量子突发纠错乘积码的构造[J].通信技术,2015,48(6):648-652. |
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| 作者姓名： | 白姗姗 陈丙亚 周晓娜 |
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| 作者单位： | 安徽理工大学 理学院,安徽 淮南 232007 |
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| 摘 要： | 量子突发纠错码是以CSS量子码的纠错原理和构造技术为基础,在量子计算和量子通信中有着十分重要的作用。首次利用GF(q)上的任意线性码C1=〖JB(〗n,k1,d1q和满足对偶包含关系的BCH码C2=〖JB(〗n,k2,d2q,来构造乘积码C1C2和(C1C2)⊥,当满足n2>2k1k2时,在CSS构造的基础上便可构造参数为n2,n2－n]]的量子突发纠错乘积码,并给出其突发纠错能力。
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| 关 键 词： | 线性码 BCH码 乘积码 |
| 收稿时间： | 2015-01-01 |
Constructions of Quantum Burst-Correcting Product Codes |
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| BAI Shan-shan,CHEN Bing-ya,ZHOU Xiao-na.Constructions of Quantum Burst-Correcting Product Codes[J].Communications Technology,2015,48(6):648-652. |
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| Authors: | BAI Shan-shan CHEN Bing-ya ZHOU Xiao-na |
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| Affiliation: | College of Science, Anhui University of Science and Technology, Huainan Anhui 232007 China |
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| Abstract: | Quantum burst-correcting codes based on the elegant structure of CSS codes play an important role in quantum computation and quantum communication. Let C1 =n,k1,d1]q denote an arbitrary linear code and C2=n,k2,d2]q be a BCH code over GF(q) C1 and C2 are used for the first time to construct the C1C2 and (C1C2)⊥ product codes. If n2>2k1k2, then based on CSS construction, the quantum burst-correcting product codes with parameter n2,n2－n]] can be constructed. Moreover, its ability in constructing the quantum burst-correcting codes is also given. |
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| Keywords: | linear code BCH code product code |
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