@Article{CMR-38-2,
author = {Mengyu, Hu and Nian, Li and Zeng, Xiangyong},
title = {On the Differential Uniformity and Nonlinearity of a Class of Permutation Quadrinomials Over $\mathbb{F}_{2^{2m}}$},
journal = {Communications in Mathematical Research },
year = {2022},
volume = {38},
number = {2},
pages = {223--245},
abstract = {<p style="text-align: justify;">Permutation polynomials with low differential uniformity and high
nonlinearity are preferred in cryptographic systems. In 2018, Tu, Zeng and
Helleseth constructed a new class of permutation quadrinomials over the finite
field&nbsp;$\mathbb{F}_{2^{2m}}$ for an odd integer $m$. In this paper, we aim to investigate the differential uniformity and nonlinearity of this class of permutation polynomials so
as to find 4-uniform permutation polynomials with high nonlinearity.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2020-0532},
url = {https://global-sci.com/article/81485/on-the-differential-uniformity-and-nonlinearity-of-a-class-of-permutation-quadrinomials-over-mathbbf-22m}
}