论文标题
$ c $ - (几乎)完美的非线性功能的调查
Investigations on $c$-(almost) perfect nonlinear functions
论文作者
论文摘要
在先前的论文\ cite {efrst20}中,我们两个,以及P. Ellingsen,P。Felke和A. Tkachenko,1DEDE定义了一个新的(输出)乘法差异,以及相应的$ C $ -Difterential均匀性,这具有扩展差异隐性分析的潜在。在这里,我们通过通过上述概念查看一些APN功能来继续工作,并表明其$ c $差异均匀性在某些情况下大大增加。
In a prior paper \cite{EFRST20}, two of us, along with P. Ellingsen, P. Felke and A. Tkachenko, 1defined a new (output) multiplicative differential, and the corresponding $c$-differential uniformity, which has the potential of extending differential cryptanalysis. Here, we continue the work, by looking at some APN functions through the mentioned concept and showing that their $c$-differential uniformity increases significantly, in some cases.