Planar polynomials arising from linearized polynomials

被引：3
|
作者：
Bartoli, Daniele [1 ,2 ]
Bonini, Matteo [1 ,2 ]
机构：
[1] Univ Perugia, Dept Math & Informat, Perugia, Italy
[2] Univ Trento, Dept Math, Trento, Italy
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 01期
关键词：
Planar polynomials; perfect nonlinear functions; finite fields; PERFECT; MAPPINGS; FAMILY; SETS;
D O I：
10.1142/S0219498822500025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct. planar polynomials of the type f(A,B)(x) - x(e(q2) + Ax(q) + Bx) is an element of F-q3 [X], with A, B is an element of F-q. In particular, we completely classify the pairs (A, B) is an element of F-q(2) such that f (A, B)(x) is planar using connections with algebraic curves over finite fields.
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页数：8
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