Almost perfect nonlinear power functions with exponents expressed as fractions

Daniel J. Katz, Kathleen R. O'Connor, Kyle Pacheco +1

Let $F$ be a finite field, let $f$ be a function from $F$ to $F$, and let $a$ be a nonzero element of $F$. The discrete derivative of $f$ in direction $a$ is $Δ_a f \colon F \to F…