双包含BCH码和新的非对称量子码

2015 Fifth International Conference on Instrumentation and Measurement, Computer, Communication and Control (IMCCC) Pub Date : 2015-09-01 DOI:10.1109/IMCCC.2015.334

Yuena Ma, Xiaoyi Feng, Liangdong Lv, Jiakun Li

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引用次数: 3

摘要

本文讨论了由原始狭义BCH码构造非对称量子码[[n,k,dz /dx]]4的问题。利用长度n = 4m - 1且m =2l和mm =2l±1的对偶含BCH码，构造了dz≥δmax +1的两个新的非对称量子码族，其中δmax为对偶含狭义BCH码的最大设计距离。我们的非对称量子密码是新的，并没有包括在已知的文献中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dual Containing BCH Codes and New Asymmetric Quantum Codes

In this paper, we discuss the problem on the construction of asymmetric quantum codes [[n,k,dz /dx]]₄ from primitive narrow sense BCH codes. Take advantage of dual containing BCH codes of length n = 4^m - 1 where m = 2l and mm =2l±1 , we construct two families of new asymmetric quantum codes with d_z ≥ δ_max +1, where δ_max is the maximal designed distance of dual containing narrow sense BCH code. Our asymmetric quantum codes are new ones, and are not included in the known literature.

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来源期刊

2015 Fifth International Conference on Instrumentation and Measurement, Computer, Communication and Control (IMCCC)

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