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 cannot be applied.

Automated summary

We investigate APN functions represented as rational functions and provide non-existence results by connecting these functions to algebraic varieties over finite fields. This approach allows for classifying families of functions where previous approaches are not applicable.