Construction of irreducible polynomials over finite fields

被引：1
|
作者：
Sharma, P. L. [1 ]
Ashima [1 ]
机构：
[1] Himachal Pradesh Univ, Dept Math & Stat, Shimla, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 07期
关键词：
Finite fields; irreducible polynomials; composition of polynomials; trace function;
D O I：
10.1142/S1793557122501303
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Irreducible polynomials over finite fields and their applications have been quite well studied. Here, we discuss the construction of the irreducible polynomials of degree 4n over the finite field F(2)s for a given irreducible polynomial of degree n. Furthermore, we construct the irreducible polynomials of degree p(2)n over the finite field F(p)s for a given irreducible polynomial of degree n by using the method of composition of polynomials with some conditions on coefficients and degree of a given irreducible polynomial.
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