多输出部分Bent函数若干性质的研究

Study on Properties of Multi-output Partially Bent Functions

本文给出了多输出部分Bent函数的定义并论证了其存在性;得到了多输出部分Bent函数的谱特征定理和广义自相关函数的性质;讨论了多输出部分Bent函数的平衡性、相关免疫性、非线性性和扩散性等密码学性质。

This paper introduces the definition of multi-output partially Bent functions and verifies it＇s existence. The Walsh spectrum and autocorrelation functions of multi-output partially Bent functions are discussed and some nice results are gotten. At last, the paper gives the cryptology properties of multi-output partially Bent functions, such as balance, correlation immunity, non-linearity and diffusibility.