On APN Exponents and the Differential and Boomerang Properties of Binomials in Characteristic 3

Namhun Koo, Soonhak Kwon, Minwoo Ko +1

Recent studies on binomials of the form $F_r(x)=x^r(1+\ddot{I}‡(x))$ over ${\mathbb{F}}_{p^n}$ have shown that these functions can exhibit very low boomerang uniformity. In this paper,…