On the exceptionality of rational APN functions

On the exceptionality of rational APN functions

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 cann...

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Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2023-10, Vol.91 (10), p.3167-3186
Hauptverfasser: Bartoli, Daniele, Fatabbi, Giuliana, Ghiandoni, Francesco
Format: Artikel
Sprache:eng
Schlagworte:
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
Fields (mathematics)
Rational functions
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Beschreibung
Zusammenfassung: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.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-023-01246-0