Irreducible polynomials over GF(2) with prescribed coefficients

被引：18
作者：
Yucas, JL [1 ]
Mullen, GL
机构：
[1] So Illinois Univ, Dept Math, Carbondale, IL 62901 USA
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
DISCRETE MATHEMATICS | 2004年 / 274卷 / 1-3期
关键词：
finite fields; irreducible polynomials;
D O I：
10.1016/S0012-365X(03)00092-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an even positive integer n, we determine formulas for the number of irreducible polynomials of degree n over GF(2) in which the coefficients of x(n-1), x(n-2) and x(n-3) are specified in advance. Formulas for the number of elements in GF(2(n)) with the first three traces specified are also given. (C) 2003 Elsevier B.V. All rights reserved.
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页码：265 / 279
页数：15
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