Some primitive polynomials over finite fields

被引：1

作者：

Chang, SW ^{[1
]}

Lee, JB ^{[1
]}

机构：

[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 03期

关键词：

finite field; primitive polynomial;

D O I：

10.1016/S0252-9602(17)30428-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves that if q(n) is large enough, for each element a and primitive element b of F-q, there exists a primitive polynomial of degree n greater than or equal to 5 over the finite field F-q having a as the coefficient of x(n-1) and b as the constant term. This proves that if q(n) is large enough, for each element a is an element of F-q, there exists a primitive polynomial of degree n greater than or equal to 5 over F-q having a as the coefficient of x.

引用

页码：412 / 416

页数：5

共 6 条

[1]

Cohen S. M., 1983, PATHOLOGY BLADDER CA, P1

[2] The coefficients of primitive polynomials over finite fields [J].