Constructions of new families of nonbinary quantum codes

被引：91
作者：
La Guardia, Giuliano G. [1 ]
机构：
[1] State Univ Ponta Grossa UEPG, Dept Math & Stat, BR-84030900 Ponta Grossa, PR, Brazil
来源：
PHYSICAL REVIEW A | 2009年 / 80卷 / 04期
关键词：
error correction codes; quantum theory; ERROR-CORRECTING CODES; BINARY CONSTRUCTION;
D O I：
10.1103/PhysRevA.80.042331
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Three code constructions generating new families of good nonbinary quantum codes are presented in this paper. The first two ones are derived from Hermitian self-orthogonal non-narrow-sense Bose-Chaudhuri-Hocquenghem (BCH) codes. The third one is derived from q-ary (q not equal 2 is a prime power) Steane's enlargement of Calderbank-Shor-Steane codes applied to Euclidean self-orthogonal non-narrow-sense BCH codes. The quantum nonbinary BCH codes presented here have parameters better than the ones available in the literature.
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页数：11
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