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.
On the exceptionality of rational APN functions
Bartoli, Daniele
;Fatabbi, Giuliana;Ghiandoni, Francesco
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.File in questo prodotto:
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