BCH码
陪衬
数学
厄米矩阵
离散数学
主电源
组合数学
素数(序理论)
算法
纯数学
解码方法
作者
Ruihu Li,Fei Zuo,Yang Liu,Zongben Xu
出处
期刊:Quantum Information & Computation
[Rinton Press]
日期:2013-01-01
被引量:12
摘要
Let $q\geq 3$ be a prime power. Maximal designed distances of primitive Hermitian dual containing $q^{2}$-ary BCH codes (narrow-sense or non-narrow-sense) are determined by a careful analysis of properties of cyclotomic cosets. Non-narrow-sense BCH codes which achieve these maximal designed distances are presented, and a sequence of nested non-narrow-sense BCH codes that contain these BCH codes with maximal designed distances are constructed and their parameters are computed. Consequently, new nonbinary quantum BCH codes are derived from these non-narrow-sense BCH codes. The nonbinary quantum BCH codes presented here have better parameters than those quantum BCH codes available in the literature.
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