@article{ZHU2025, 
author = {Simin ZHU and Yan WANG and Shunbo LI and Yanxi FU},
title = {Construction of permutations with low c-differential and boomerang uniformities},
year = {2025},
journal = {Journal of Capital Normal University (Natural Science Edition)},
volume = {46},
number = {5},
pages = {20-27},
keywords = {Vectorial boolean function, c-differential uniformity, boomerang uniformity, perfect c-nonlinear function, almost perfect c-nonlinear function},
url = {https://www.sciopen.com/article/10.19789/j.1004-9398.2025.05.004},
doi = {10.19789/j.1004-9398.2025.05.004},
abstract = {Vectorial boolean functions with low c-differential and boomerang uniformities, especially the almost perfect c-nonlinear functions, are widely used in cryptography. This paper constructed a new class of non-monomial functions over finite fields by using trace functions. By calculating Weil sums we obtained the c-difference distribution table of this class of functions, and we concluded that they are almost perfect c-nonlinear functions over finite fields. Furthermore, it is proved that the constructed functions have low boomerang uniformity.}
}