New asymmetric quantum codes over Fq

Yuena Ma; Xiaoyi Feng; Gen Xu

doi:10.1007/s11128-016-1320-1

New asymmetric quantum codes over F_q

Yuena Ma
, Xiaoyi Feng
, Gen Xu

School of Electronics and Information

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

6 Scopus citations

Abstract

Two families of new asymmetric quantum codes are constructed in this paper. The first family is the asymmetric quantum codes with length n= q^m- 1 over F_q, where q≥ 5 is a prime power. The second one is the asymmetric quantum codes with length n= 3 ^m- 1. These asymmetric quantum codes are derived from the CSS construction and pairs of nested BCH codes. Moreover, let the defining set T1=T2-q, then the real Z-distance of our asymmetric quantum codes are much larger than δ_max+ 1 , where δ_max is the maximal designed distance of dual-containing narrow-sense BCH code, and the parameters presented here have better than the ones available in the literature.

Original language	English
Pages (from-to)	2759-2769
Number of pages	11
Journal	Quantum Information Processing
Volume	15
Issue number	7
DOIs	https://doi.org/10.1007/s11128-016-1320-1
State	Published - 1 Jul 2016

Keywords

Asymmetric quantum code
BCH code
CSS construction

Access to Document

10.1007/s11128-016-1320-1

Cite this

@article{f39c757d2c8542dd8f9e04d869af94eb,

title = "New asymmetric quantum codes over Fq ",

abstract = "Two families of new asymmetric quantum codes are constructed in this paper. The first family is the asymmetric quantum codes with length n= qm- 1 over Fq, where q≥ 5 is a prime power. The second one is the asymmetric quantum codes with length n= 3 m- 1. These asymmetric quantum codes are derived from the CSS construction and pairs of nested BCH codes. Moreover, let the defining set T1=T2-q, then the real Z-distance of our asymmetric quantum codes are much larger than δmax+ 1 , where δmax is the maximal designed distance of dual-containing narrow-sense BCH code, and the parameters presented here have better than the ones available in the literature.",

keywords = "Asymmetric quantum code, BCH code, CSS construction",

author = "Yuena Ma and Xiaoyi Feng and Gen Xu",

note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media New York.",

year = "2016",

month = jul,

day = "1",

doi = "10.1007/s11128-016-1320-1",

language = "英语",

volume = "15",

pages = "2759--2769",

journal = "Quantum Information Processing",

issn = "1570-0755",

publisher = "Springer",

number = "7",

}

TY - JOUR

T1 - New asymmetric quantum codes over Fq

AU - Ma, Yuena

AU - Feng, Xiaoyi

AU - Xu, Gen

PY - 2016/7/1

Y1 - 2016/7/1

N2 - Two families of new asymmetric quantum codes are constructed in this paper. The first family is the asymmetric quantum codes with length n= qm- 1 over Fq, where q≥ 5 is a prime power. The second one is the asymmetric quantum codes with length n= 3 m- 1. These asymmetric quantum codes are derived from the CSS construction and pairs of nested BCH codes. Moreover, let the defining set T1=T2-q, then the real Z-distance of our asymmetric quantum codes are much larger than δmax+ 1 , where δmax is the maximal designed distance of dual-containing narrow-sense BCH code, and the parameters presented here have better than the ones available in the literature.

AB - Two families of new asymmetric quantum codes are constructed in this paper. The first family is the asymmetric quantum codes with length n= qm- 1 over Fq, where q≥ 5 is a prime power. The second one is the asymmetric quantum codes with length n= 3 m- 1. These asymmetric quantum codes are derived from the CSS construction and pairs of nested BCH codes. Moreover, let the defining set T1=T2-q, then the real Z-distance of our asymmetric quantum codes are much larger than δmax+ 1 , where δmax is the maximal designed distance of dual-containing narrow-sense BCH code, and the parameters presented here have better than the ones available in the literature.

KW - Asymmetric quantum code

KW - BCH code

KW - CSS construction

UR - https://www.scopus.com/pages/publications/84976402797

U2 - 10.1007/s11128-016-1320-1

DO - 10.1007/s11128-016-1320-1

M3 - 文章

AN - SCOPUS:84976402797

SN - 1570-0755

VL - 15

SP - 2759

EP - 2769

JO - Quantum Information Processing

JF - Quantum Information Processing

IS - 7

ER -

New asymmetric quantum codes over F_q

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this