2 problems

Let $n$ be a positive integer, and let $P$ be a linear polynomial in $x_1,\ldots,x_n$ with positive coefficients. Say that $P$ generates a period 1 seed when it generates a seed of…

Let $q$ be a power of two, and let $f\in\mathbb{F}_q[X]$ be an exceptional APN polynomial, meaning that $f$ induces an APN function on $\mathbb{F}_{q^r}$ for infinitely many positi…