论文标题
在构建和（非）存在$ c $ - （几乎）完美的非线性功能
On construction and (non)existence of $c$-(almost) perfect nonlinear functions
论文作者
论文摘要
低差异均匀性的功能在密码学中具有相关的应用。最近，低$ C $差异均匀性的功能引起了很多关注。特别是，已经研究了所谓的APCN和PCN函数（APN和PN功能的概括）。在这里，我们通过二次多项式以及不存在的结果提供了此类功能的表征。
Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low $c$-differential uniformity attracted lots of attention. In particular, so-called APcN and PcN functions (generalization of APN and PN functions) have been investigated. Here, we provide a characterization of such functions via quadratic polynomials as well as non-existence results.
