A new infinite family of bivariate APN multinomials

Abstract

In this work, we present an infinite family of quadratic APN functions in bivariate form, which extends one of the two families of APN functions constructed by Li et al. in [IEEE TIT 68(7), 4761-4769 (2022)]. We show that for n = 10 from our construction, we can obtain APN functions CCZ-inequivalent to those belonging to known infinite families of APN functions.