More constructions of permutation pentanomials and hexanomials over Fp2m

被引：0
作者：
Shen, Ruihua [1 ]
Liu, Xianping [1 ]
Xu, Xiaofang [2 ]
机构：
[1] Hubei Minzu Univ, Sch Math & Stat, Enshi 445000, Peoples R China
[2] Hubei Polytech Univ, Sch Math & Phys, Huangshi 435003, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2024年
基金：
中国国家自然科学基金;
关键词：
Finite field; Permutation pentanomial; Permutation hexanomial; Algebraic curve; FINITE-FIELDS; POLYNOMIALS; TRINOMIALS; BINOMIALS;
D O I：
10.1007/s00200-024-00673-3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, two classes of permutation pentanomials over finite fields F-p2m are investigated by transforming the permutation property of polynomials to verifying that some low-degree equations has no solutions in the unit circle. Furthermore, based on the study of the algebraic curves for fractional polynomials, several classes of permutation pentanomials and hexanomials over F-52m are discovered. Additionally, we obtain some new permutation pentanomials, quadrinomials and octonomials over F-52m from known permutation polynomials in the unit circle.
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页数：23
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