On APN Functions with Boomerang Uniformity One over ${\mathbb{F}}_{3^n}$: Differential and Boomerang Spectra and CCZ-Inequivalence

Namhun Koo, Soonhak Kwon, Minwoo Ko +1

Let $q=3^n$, where $n>1$ is odd, and let $g:\Fq\to\Fq$ be a perfect nonlinear (PN) function represented by a Dembowski--Ostrom (DO) polynomial. Put $\tau =g(1)$, let $\epsilon$ be the indicat…