More infinite classes of APN-like power functions

L Qu, K Li - arXiv preprint arXiv:2209.13456, 2022 - arxiv.org
In the literature, there are many APN-like functions that generalize the APN properties or are
similar to APN functions, eg locally-APN functions, 0-APN functions or those with boomerang …

An infinite family of 0-APN monomials with two parameters

N Kaleyski, K Nesheim, P Stănică - Cryptography and Communications, 2023 - Springer
We consider an infinite family of exponents e (l, k) with two parameters, l and k, and derive
sufficient conditions for e (l, k) to be 0-APN over F 2 n. These conditions allow us to …

New results of -APN power functions over

YP Wang, Z Zha - arXiv preprint arXiv:2210.02207, 2022 - arxiv.org
Partially APN functions attract researchers' particular interest recently. It plays an important
role in studying APN functions. In this paper, based on the multivariate method and resultant …