部分Bent函数的密码学性质

Properties of partially-Bent functions

本文讨论了部分Bent函数的若干密码学性质,分别给出了部分Bent函数满足平衡性、相关免疫性和扩散准则的充分必要条件,具体求出了部分Bent函数的非线性度以及部分Bent函数与仿射函数的符合率。

Properties of partially-Bent functions are studied in this paper. The necessary and sufficient conditions of balanced ,correlation-immune and propagating partially-Bent functions are presented respectively, the nonlinear degree of partially-Bent functions and the equivalent probability of a partially-Bent function and an affine function are given in the paper.