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

Translated title of the contribution: A Class of Special Code Length Asymmetric Quantum BCH Codes

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

School of Electronics and Information

Air Force Engineering University Xian

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Translated title of the contribution	A Class of Special Code Length Asymmetric Quantum BCH Codes
Original language	Chinese (Traditional)
Pages (from-to)	2311-2316
Number of pages	6
Journal	Tien Tzu Hsueh Pao/Acta Electronica Sinica
Volume	47
Issue number	11
DOIs	https://doi.org/10.3969/j.issn.0372-2112.2019.11.011
State	Published - 1 Nov 2019

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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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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.

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一类特殊码长的非对称量子BCH码

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