论文标题
调查$ C $ -Boomerang均匀性和完美的非线性
Investigations on $c$-Boomerang Uniformity and Perfect Nonlinearity
论文作者
论文摘要
我们在〜\ cite {efrst20}中定义了一种新的乘法$ c $ - 差异，以及相应的$ c $ - 差异均匀性，我们表征了有关此新概念的已知完美非线性函数，以及任何特征中的倒数。这项工作在〜\ cite {rs20}中继续进行，研究了一些其他APN功能的$ C $差异均匀性。在这里，我们将该概念扩展到了Boomerang统一性，该概念由Cid等人在Eurocrypt '18引入。
We defined in~\cite{EFRST20} a new multiplicative $c$-differential, and the corresponding $c$-differential uniformity and we characterized the known perfect nonlinear functions with respect to this new concept, as well as the inverse in any characteristic. The work was continued in~\cite{RS20}, investigating the $c$-differential uniformity for some further APN functions. Here, we extend the concept to the boomerang uniformity, introduced at Eurocrypt '18 by Cid et al.~\cite{Cid18}, to evaluate S-boxes of block ciphers, and investigate it in the context of perfect nonlinearity and related functions.
