Further results on differentially 4-uniform permutations over $\F_{2^{2m}}$
Information Theory
2023-07-19 v1 math.IT
Abstract
In this paper, we present several new constructions of differentially 4-uniform permutations over by modifying the values of the inverse function on some subsets of . The resulted differentially 4-uniform permutations have high nonlinearities and algebraic degrees, which provide more choices for the design of cryptographic substitution boxes.
Keywords
Cite
@article{arxiv.1502.03874,
title = {Further results on differentially 4-uniform permutations over $\F_{2^{2m}}$},
author = {Zhengbang Zha and Lei Hu and Siwei Sun and Jinyong Shan},
journal= {arXiv preprint arXiv:1502.03874},
year = {2023}
}
Comments
15 pages. This paper has been accepted for publication in SCIENCE CHINA Mathematics