On the exceptionality of rational APN functions

被引：0
|
作者：
Daniele Bartoli
Giuliana Fatabbi
Francesco Ghiandoni
机构：
[1] Università degli studi di Perugia,Dipartimento di Matematica e Informatica
[2] Università degli Studi di Perugia,Dipartimento di Matematica e Informatica
[3] Università degli studi di Firenze,Dipartimento di Matematica e Informatica Ulisse Dini
来源：
Designs, Codes and Cryptography | 2023年 / 91卷
关键词：
APN functions; Algebraic varieties; Finite fields; 11T06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate APN functions which can be represented as rational functions and we provide non-existence results exploiting the connection between these functions and specific algebraic varieties over finite fields. This approach allows to classify families of functions when previous approaches cannot be applied.
引用
收藏
页码：3167 / 3186
页数：19
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