Functions with low differential uniformity can be used in a block cipher as S-boxes since they have good resistance to differential attacks. In this paper we consider piecewise constructions for permutations with low differential uniformity. In particular, we give two constructions of differentially 6-uniform functions, modifying the Gold function and the Bracken-Leander function on a subfield.
Cite
@article{arxiv.1910.14337,
title = {Differentially low uniform permutations from known 4-uniform functions},
author = {Marco Calderini},
journal= {arXiv preprint arXiv:1910.14337},
year = {2020}
}