Further results on permutation polynomials via linear translators

被引：0
|
作者：
Qin, Xiaoer [1 ]
Yan, Li [2 ]
机构：
[1] Yangtze Normal Univ, Coll Math & Stat, Chongqing 408100, Peoples R China
[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 09期
基金：
美国国家科学基金会;
关键词：
Permutation polynomial; linear translator; the system of linear equations; rank; FINITE-FIELDS; TRINOMIALS;
D O I：
10.1142/S0219498820501662
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using linear translators, we characterize a new class of permutation polynomials of the form x + Sigma(k)(i=1)gamma(i)h(i)(fi(x)), which has a more general form than x +gamma h(f(x)). Then, we present the compositional inverses of such permutation polyno- mials. Furthermore, by specifying the functions h(i)(x) and f(i)(x), we can get some new permutation polynomials of the forms x + gamma(1)(Tr(beta(1)x)+delta(1))(s1) + gamma(2) (Tr(beta(2)x) + delta(2))(s2) and x+gamma(1)(Tr(x)+delta)(s)(1)+gamma(2)(Tr(x)+delta(2))(s2), where Tr(x) is the trace function.
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页数：18
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