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

页码：118 / 131

页数：14

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