一类特殊码长的非对称量子BCH码

Yue Na Ma; Xiao Yi Feng; Yang Liu; Guan Min Guo

doi:10.3969/j.issn.0372-2112.2019.11.011

一类特殊码长的非对称量子BCH码

Yue Na Ma
, Xiao Yi Feng
, Yang Liu
, Guan Min Guo

电子信息学院

Air Force Engineering University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Asymmetric quantum codes are an efficient coding scheme against different kinds of quantum errors in quantum communication, which occurs with different probability.The good quantum codes play a decisive role in ensuring the authenticity and reliability of quantum communication.In this paper, we first present Hermitian dual-containing conditions of the imprimitive narrow-sense BCH codes by a detailed analysis of cyclotomic cosets.Secondly, a series of asymmetric quantum BCH codes with special code length are constructed via the generalized CSS construction.Finally, dimensions of two types of asymmetric quantum BCH codes are determined for m as 3 and 5 respectively, whose z distances are much greater than the results in the literature.Hence, the error-correcting ability to the phase errors can be further improved.

投稿的翻译标题	A Class of Special Code Length Asymmetric Quantum BCH Codes
源语言	繁体中文
页（从-至）	2311-2316
页数	6
期刊	Tien Tzu Hsueh Pao/Acta Electronica Sinica
卷	47
期	11
DOI	https://doi.org/10.3969/j.issn.0372-2112.2019.11.011
出版状态	已出版 - 1 11月 2019

关键词

Asymmetric quantum code
CSS construction
Hermitian dual containing condition
Imprimitive BCH code

访问文件

10.3969/j.issn.0372-2112.2019.11.011

其它文件与链接

链接到 Scopus 的出版物

引用此

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title = "一类特殊码长的非对称量子BCH码",

abstract = "Asymmetric quantum codes are an efficient coding scheme against different kinds of quantum errors in quantum communication, which occurs with different probability.The good quantum codes play a decisive role in ensuring the authenticity and reliability of quantum communication.In this paper, we first present Hermitian dual-containing conditions of the imprimitive narrow-sense BCH codes by a detailed analysis of cyclotomic cosets.Secondly, a series of asymmetric quantum BCH codes with special code length are constructed via the generalized CSS construction.Finally, dimensions of two types of asymmetric quantum BCH codes are determined for m as 3 and 5 respectively, whose z distances are much greater than the results in the literature.Hence, the error-correcting ability to the phase errors can be further improved.",

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Y1 - 2019/11/1

N2 - Asymmetric quantum codes are an efficient coding scheme against different kinds of quantum errors in quantum communication, which occurs with different probability.The good quantum codes play a decisive role in ensuring the authenticity and reliability of quantum communication.In this paper, we first present Hermitian dual-containing conditions of the imprimitive narrow-sense BCH codes by a detailed analysis of cyclotomic cosets.Secondly, a series of asymmetric quantum BCH codes with special code length are constructed via the generalized CSS construction.Finally, dimensions of two types of asymmetric quantum BCH codes are determined for m as 3 and 5 respectively, whose z distances are much greater than the results in the literature.Hence, the error-correcting ability to the phase errors can be further improved.

AB - Asymmetric quantum codes are an efficient coding scheme against different kinds of quantum errors in quantum communication, which occurs with different probability.The good quantum codes play a decisive role in ensuring the authenticity and reliability of quantum communication.In this paper, we first present Hermitian dual-containing conditions of the imprimitive narrow-sense BCH codes by a detailed analysis of cyclotomic cosets.Secondly, a series of asymmetric quantum BCH codes with special code length are constructed via the generalized CSS construction.Finally, dimensions of two types of asymmetric quantum BCH codes are determined for m as 3 and 5 respectively, whose z distances are much greater than the results in the literature.Hence, the error-correcting ability to the phase errors can be further improved.

KW - Asymmetric quantum code

KW - CSS construction

KW - Hermitian dual containing condition

KW - Imprimitive BCH code

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DO - 10.3969/j.issn.0372-2112.2019.11.011

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JO - Tien Tzu Hsueh Pao/Acta Electronica Sinica

JF - Tien Tzu Hsueh Pao/Acta Electronica Sinica

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ER -

一类特殊码长的非对称量子BCH码

摘要

关键词

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引用此