Primitive Roots and Linearized Polynomials

被引：0

作者：

韩文报

机构：

[1] Sichuan University

[2] Chengdu

[3] Sichuan

[4] P.R.C.

来源：

数学进展 | 1993年 / 05期

关键词：

GF; Primitive Roots and Linearized Polynomials;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let f（x） = sum from t=0 to n αixi∈GF（p）[x],we associate it with a ploynomial f*（x）=sum from i=0 to n αixpi,f（x） and f*（x）are called p-associates of each other. f*（x） is called a p-ploynomial,customary to speak of linearized polynomial. Let f（x）=xm- 1/g（x）, m = m1r, q = pm, g（x）∈GF（p）[x],r be the order of g（x）. Cohen and the author observed that if m1≥2, there alwaysexsists a primitive roots ζ∈GF（q） suck that f*（ζ） = f*（c）, here f*（c）≠0. In fact

引用

页码：460 / 462

页数：3

共 10 条

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