多项式剩余类环上循环码新的表示  

A New Description of Cyclic Codes over Polynomial Residue Class Rings

作　　者：张莉娜[1] 钱建发[1] 

机构地区：[1]安徽理工大学数理系,淮南232001

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)

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.

关 键 词：循环码 多项式剩余类环 离散傅立叶变换 

分 类 号：TN911.22[电子电信—通信与信息系统]