Several new infinite classes of 0-APN power functions over $\mathbb{F}_{2^n}$

Abstract

The investigation of partially APN functions has attracted a lot of research interest recently. In this paper, we present several new infinite classes of 0-APN power functions over $\mathbb{F}_{2^n}$ by using the multivariate method and resultant elimination, and show that these 0-APN power functions are CCZ-inequivalent to the known ones.Comment: arXiv admin note: text overlap with arXiv:2210.02207, arXiv:2210.15103 by other author