摘要
在编码理论中,多项式剩余类环是非常有意义的,它已经用来构造最优频率希望序列．本文,定义了多项式剩余类环上循环码的离散傅立叶变换及Mattson-Solomon (MS)多项式,证明了多项式剩余类环上的循环码同构于多项式剩余类环的Galois扩张的理想．
Polynomial residue class rings may be of interesting in coding theory, which have already been used in the construction of optimal frequence-hopping sequence. In this paper, discrete Fourier transform and MS polynomial are defined for cyclic codes over poly- nomial residue class rings. A new description of cyclic codes over polynomial residue class rings is given.
出处
《应用数学与计算数学学报》
2006年第2期117-120,共4页
Communication on Applied Mathematics and Computation
基金
安徽省自然科学基金项目(03042201)
关键词
循环码
多项式剩余类环
离散傅立叶变换
cyclic code, discrete Fourier transform, polynomial residue class ring
