关于$\F_{2^{2m}}$上差分4一致置换的进一步结果
信息论
2023-07-19 v1 math.IT
摘要
在本文中，我们通过修改逆函数在某些子集上的取值，给出了上差分4一致置换的几种新构造。所得到的差分4一致置换具有高非线性和高代数次数，这为密码学替换盒的设计提供了更多选择。
引用
@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}
}
备注
15 pages. This paper has been accepted for publication in SCIENCE CHINA Mathematics