Two families of dual containing BCH codes

Yuena Ma; Xiaoyi Feng; Zhizhong Su; Yang Liu

Two families of dual containing BCH codes

Yuena Ma
, Xiaoyi Feng
, Zhizhong Su
, Yang Liu

School of Electronics and Information

Northwestern Polytechnical University Xian
Air Force Engineering University Xian
The First Aeronautical College of Air Force

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

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.

Original language	English
Pages (from-to)	874-878
Number of pages	5
Journal	Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
Volume	34
Issue number	5
State	Published - 1 Oct 2016

Keywords

Asymmetric quantum code
BCH code
CSS construction
Hermite dual containing

Cite this

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title = "Two families of dual containing BCH codes",

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.",

keywords = "Asymmetric quantum code, BCH code, CSS construction, Hermite dual containing",

author = "Yuena Ma and Xiaoyi Feng and Zhizhong Su and Yang Liu",

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T1 - Two families of dual containing BCH codes

AU - Ma, Yuena

AU - Feng, Xiaoyi

AU - Su, Zhizhong

AU - Liu, Yang

PY - 2016/10/1

Y1 - 2016/10/1

N2 - 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.

AB - 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.

KW - Asymmetric quantum code

KW - BCH code

KW - CSS construction

KW - Hermite dual containing

UR - https://www.scopus.com/pages/publications/84995610931

M3 - 文章

AN - SCOPUS:84995610931

SN - 1000-2758

VL - 34

SP - 874

EP - 878

JO - Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University

JF - Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University

IS - 5

ER -

Two families of dual containing BCH codes

Abstract

Keywords

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