On known constructions of APN and AB functions and their relation to each other

M Calderini, L Budaghyan, C Carlet - Rad Hrvatske akademije …, 2021 - hrcak.srce.hr
Sažetak This work is dedicated to APN and AB functions which are optimal against
differential and linear cryptanlysis when used as Sboxes in block ciphers. They also have …

On two fundamental problems on APN power functions

L Budaghyan, M Calderini, C Carlet… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
The six infinite families of power APN functions are among the oldest known instances of
APN functions, and it has been conjectured in 2000 that they exhaust all possible power …

On large Sidon sets

I Czerwinski, A Pott - arXiv preprint arXiv:2411.12911, 2024 - arxiv.org
A Sidon set $ M $ is a subset of $\mathbb {F} _2^ t $ such that the sum of four distinct
elements of $ M $ is never 0. The goal is to find Sidon sets of large size. In this note we show …