A class of negacyclic BCH codes and its application to quantum codes

被引：36
|
作者：
Zhu, Shixin [1 ]
Sun, Zhonghua [1 ]
Li, Ping [1 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2018年 / 86卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Negacyclic code; BCH code; Quantum code; Cyclotomic coset; CONSTACYCLIC CODES; MINIMUM DISTANCE; CYCLIC CODES; MDS CODES; CONSTRUCTION; ENLARGEMENT;
D O I：
10.1007/s10623-017-0441-6
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study negacyclic BCH codes over of length , where q is an odd prime power and m is a positive integer. In particular, the dimension, the minimum distance and the weight distribution of some negacyclic BCH codes over of length are determined. Two classes of negacyclic BCH codes meeting the Griesmer bound are obtained. As an application, we construct quantum codes with good parameters from this class of negacyclic BCH codes.
引用
收藏
页码：2139 / 2165
页数：27
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