On a class of permutation trinomials over finite fields

被引：0

作者：

Temur, Burcu Gulmez ^{[1
]}

Ozkaya, Buket ^{[2
]}

机构：

[1] Atilim Univ, Dept Math, Ankara, Turkiye

[2] Middle East Tech Univ, Inst Appl Math, Ankara, Turkiye

来源：

TURKISH JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 04期

关键词：

Permutation polynomials; finite fields; Hasse -Weil bound; cryptography; POLYNOMIALS; BINOMIALS;

D O I：

10.55730/1300-0098.3540

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the permutation properties of the class of trinomials of the form f (x ) = x( 4q+1 )+ lambda (1 )x (q +4) + lambda( 2 )x (2q +3) is an element of F (q) 2 [x ] , where lambda( 1 ), lambda (2) is an element of F (q) and they are not simultaneously zero. We find all necessary and sufficient conditions on lambda (1) and lambda (2) such that f (x ) permutes F( q )2 , where q is odd and q = 2( 2k+1) , k is an element of N.

引用

页码：778 / 792

页数：16

共 28 条

[1]

Akbary A., 2007, Int. J. Math. Math. Sci.

[2] A family of permutation trinomials over Fq2 [J].