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On the exceptionality of rational APN functions.

Authors :
Bartoli, Daniele
Fatabbi, Giuliana
Ghiandoni, Francesco
Source :
Designs, Codes & Cryptography; Oct2023, Vol. 91 Issue 10, p3167-3186, 20p
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09251022
Volume :
91
Issue :
10
Database :
Complementary Index
Journal :
Designs, Codes & Cryptography
Publication Type :
Academic Journal
Accession number :
172397310
Full Text :
https://doi.org/10.1007/s10623-023-01246-0