New families of quadratic almost perfect nonlinear trinomials and multinomials

被引：77

作者：

Bracken, Carl ^{[1
]}

Byrne, Eimear ^{[1
]}

Markin, Nadya ^{[1
]}

McGuire, Gary ^{[1
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin, Ireland

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 03期

基金：

爱尔兰科学基金会;

关键词：

almost perfect nonlinear; APN; bent function; CCZ equivalence; Fourier spectrum;

D O I：

10.1016/j.ffa.2007.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce two new infinite families of APN functions, one on fields of order 2(2k) for k not divisible by 2, and the other on fields of order 2(3k) for k not divisible by 3. The polynomials in the first family have between three and k + 2 terms, the second family's polynomials have three terms. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：703 / 714

页数：12

共 11 条

[1]

[Anonymous], BOOLEAN MET IN PRESS

[2] New classes of almost bent and almost perfect nonlinear polynomials [J].