On the absolute irreducibility of hyperplane sections of generalized Fermat varieties in ${\mathbb{P}}^3$ and the conjecture on exceptional APN functions: the Kasami-Welch degree case

Moises Delgado, Heeralal Janwa

Let $f$ be a function on a finite field $F$. The decomposition of the generalized Fermat variety $X$ defined by the multivariate polynomial of degree $n$, $\varphi (x,y,z)=f(x)+f(y)+f(z)$…