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

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10.1007/s11128-016-1320-1

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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",

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AU - Feng, Xiaoyi

AU - Xu, Gen

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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.

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New asymmetric quantum codes over F_q

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