TY - JOUR
T1 - On the Differential Uniformity and Nonlinearity of a Class of Permutation Quadrinomials Over $\mathbb{F}_{2^{2m}}$
AU - Hu , Mengyu
AU - Li , Nian
AU - Zeng , Xiangyong
JO - Communications in Mathematical Research 
VL - 2
SP - 223
EP - 245
PY - 2022
DA - 2022/02
SN - 38
DO - http://doi.org/10.4208/cmr.2020-0532
UR - https://global-sci.org/intro/article_detail/cmr/20272.html
KW - Differential uniformity, finite field, nonlinearity, permutation polynomial.
AB - <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>