An equivalent condition on the switching construction of differentially 4-uniform permutations on from the inverse function

X Chen, Y Deng, M Zhu, L Qu - International Journal of Computer …, 2017 - Taylor & Francis
Differentially 4-uniform permutations on F 2 2 k with high nonlinearity are often chosen as
substitution boxes in block ciphers. Recently, Qu et al. used the powerful switching method …

Low differentially uniform permutations from the Dobbertin APN function over F2n

YP Wang, WG Zhang, Z Zha - Discrete Mathematics, 2021 - Elsevier
Substitution boxes (S-boxes) play a central role in block ciphers. In substitution-permutation
networks, the S-boxes should be permutation functions over F 2 n to realize the invertibility …

[引用][C] 弱APN 函数的进一步研究

马俊如, 张莎莎, 曾祥勇 - 系统科学与数学, 2017

[PDF][PDF] 与3 类向量值密码函数仿射等价的函数数量研究

袁峰, 江继军, 杨旸, 许盛伟 - 通信学报, 2017 - infocomm-journal.com
Qu-Tan-Tan-Li 函数, Zha-Hu-Sun 函数和Tang-Carlet-Tang 函数是近些年提出的差分均匀度为
4, 各项安全性指标均优良的向量值密码函数. 研究与这3 种密码函数仿射等价函数的计数问题 …

[HTML][HTML] 由APN 幂函数构造F 2 2n 上的置换

田诗竹 - 网络与信息安全学报, 2017 - infocomm-journal.com
摘要APN 函数是特征为2 的有限域上达到最低差分均匀度的函数, 其中最经典的是APN 幂函数.
在F 2 2 n 上的APN 幂函数都是3-1 函数. 推广了前人在奇特征有限域上由2-1 …

[引用][C] 一类幂函数在Fpn 上的差分谱

田诗竹, 陈媛 - 系统科学与数学, 2017

[引用][C] 利用Dobbertin 指数构造低差分均匀度函数

王彦平 - 系统科学与数学, 2017

Construction of balanced vectorial Boolean functions with almost optimal nonlinearity and very low differential-linear uniformity

D Tang, B Mandal, S Maitra - Finite Fields and Their Applications, 2021 - Elsevier
The differential-linear connectivity table (DLCT) of a vectorial Boolean function was recently
introduced by Bar-On et al. at EUROCRYPT'19, whose value at a point is related to the …

[引用][C] 一类4-差分置换的构造

谢涛, 陈媛, 曾祥勇 - 系统科学与数学, 2015

Boomerang Spectra of Two Classes of Power Functions via Their Differential Spectra

Z Zhang, H Yan, Z Li - arXiv preprint arXiv:2201.10905, 2022 - arxiv.org
In EUROCRYPT 2018, Cid $ et\; al. $ introduced a new concept on the cryptographic
property of S-boxes to evaluate the subtleties of boomerang-style attacks. This concept was …