深度分布的计算方法

Calculation for depth distribution

在有理整值多项式上建立了等价关系,从而将深度有限的无限长序列与有理整值多项式的等价类建立了一一对应,通过分析等价类计算序列的深度分布,构造了一个码C到C的映射D,利用D的性质和线性空间的基础知识给出了线性循环码的深度分布的计算方法.

This paper defines a equivalence relation on integer-valued rational polynomials, which shows that the set of infinite sequences of finite depth corresponds to a set of equivalence classes of rational polynomials. Therefore get the depth distribution of infinite class through studying equivalence classes. This paper constructs a new map on code C, and gives a new calculation method of Cyclic Codes by using basic knowledge of linear spaces and map D＇ character.