Some relations between the irreducible polynomials over a finite field and its quadratic extension

被引：0
|
作者：
Kim, Ryul [1 ]
机构：
[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea
来源：
DISCRETE APPLIED MATHEMATICS | 2024年 / 344卷
关键词：
Self -reciprocal polynomial; Self -conjugate -reciprocal polynomial; Finite field; n d | n;
D O I：
10.1016/j.dam.2023.11.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some relations between irreducible polynomials over a finite field Fq and its quadratic extension Fq2. First we consider a relation between the numbers of irreducible polynomials of a fixed degree over Fq and Fq2, and some relations between self-reciprocal irreducible polynomials over Fq and self-conjugatereciprocal irreducible polynomials over Fq2. We also obtain formulas for the number and the product of all self-conjugate-reciprocal irreducible monic (SCRIM) polynomials over Fq2.
引用
收藏
页码：106 / 111
页数：6
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