A family of permutation trinomials over Fq2

被引：25

作者：

Bartoli, Daniele ^{[1
]}

Timpanella, Marco ^{[2
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, Perugia, Italy

[2] Univ Basilicata, Dipartimento Matemat Informat & Econ, Potenza, Italy

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2021年 / 70卷

关键词：

Permutation polynomials; Algebraic curves; FINITE-FIELDS; POLYNOMIALS;

D O I：

10.1016/j.ffa.2020.101781

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p > 3 and consider a prime power q = p(h). We completely characterize permutation polynomials of F-q2 of the type f(a,b)(X) = X(1 +aX(q(q-1))+bX(2(q-1))) is an element of F-q2 [X]. In particular, using connections with algebraic curves over finite fields, we show that the already known sufficient conditions are also necessary. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：16

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