The number of irreducible polynomials over finite fields of characteristic 2 with given trace and subtrace

被引：6
|
作者：
Ri, Won-Ho [1 ]
Myong, Gum-Chol [1 ]
Kim, Ryul [1 ]
Rim, Chang-Il [1 ]
机构：
[1] Kim Il Sung Univ, Fac Math, Pyongyang, Democratic Peop, North Korea
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2014年 / 29卷
关键词：
Finite field; Irreducible polynomial; Trace; Mobius inversion formula; HANSEN-MULLEN CONJECTURE; PRESCRIBED COEFFICIENTS; ELLIPTIC-CURVES; GF(2);
D O I：
10.1016/j.ffa.2014.04.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtained the formula for the number of irreducible polynomials with degree n over finite fields of characteristic two with given trace and subtrace. This formula is a generalization of the result of Cattell et al. (2003) [2]. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：118 / 131
页数：14
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