Quantum Codes Derived from Cyclic Codes

被引：27
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：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2017年 / 56卷 / 08期
关键词：
Quantum codes; Cyclic codes; Cyclotomic coset; BCH CODES;
D O I：
10.1007/s10773-017-3399-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In order to do this, we show the existence of (classical) cyclic codes whose defining set consists of only one cyclotomic coset containing at least two consecutive integers.
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收藏
页码：2479 / 2484
页数：6
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