Some classes of complete permutation polynomials in the form of (xpm - x

被引：0
|
作者：
Xu, Xiaofang [1 ]
Fan, Jinmei [2 ]
机构：
[1] Hubei Polytech Univ, Sch Math & Phys, Huangshi 435003, Hubei, Peoples R China
[2] Guilin Univ Technol, Sch Sci, Guilin 541006, Peoples R China
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2022年 / 8卷 / 01期
关键词：
complete permutation polynomial; finite field; AGW criterion; CONSTRUCTIONS;
D O I：
10.2478/amns.2021.2.00132
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several classes of complete permutation polynomials (CPPs) in the form of (x(pm) - x + delta)(s) + ax(pm) + bx over F-p(2m) are described in this paper. For fractional exponent s, the permutation properties of the given polynomials are proved by the AGW criterion and for determining the bijectivity of the corresponding piecewise functions. For exponent s satisfying s = i(p(m) - 1) + p(j), the main proofs here depend on the AGW criterion and the quantity of solutions for certain linearised equations. Several results generalise some earlier results on permutation polynomials (PPs).
引用
收藏
页码：1979 / 1992
页数：13
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