论文标题
一些类别的功率功能在有限场上具有低C分化均匀性
Some classes of power functions with low c-differential uniformity over finite fields
论文作者
论文摘要
C-差异均匀性低的功能对某些类型的差分密码分析具有最佳的抗性。在本文中，我们研究了有限场上功率函数的C分化均匀性。基于一些已知的几乎完美的非线性函数，我们提供了几类功率功能$ f（x）= x^d $，$ _ {c}Δ_f\ leq3 $。特别是，提出了两种新的完美C-非线性功率功能。
Functions with low c-differential uniformity have optimal resistance to some types of differential cryptanalysis. In this paper, we investigate the c-differential uniformity of power functions over finite fields. Based on some known almost perfect nonlinear functions, we present several classes of power functions $f(x)=x^d$ with $_{c}Δ_f\leq3$. Especially, two new classes of perfect c-nonlinear power functions are proposed.
