论文部分内容阅读
通过将导数和自定义的e-导数结合,作为新的研究工具引入到布尔函数密码学性质研究中来。利用导数和e-导数可将布尔函数内部取值不同特点进行区分的特性,系统地证明了不同重量一次扩散布尔函数相关免疫最高阶数问题,得出了一些用传统研究工具,如频谱理论等,不易导出的布尔函数密码学性质。这一结果对提高密码系统抵抗相关攻击的能力,提供了理论依据。
By combining the derivative with a custom e-derivative, we introduce it as a new research tool into the study of cryptographic properties of Boolean functions. Using the derivative and e-derivative to distinguish the different characteristics of the internal Boolean function, we systematically prove that the highest immune number associated with a single booster function with different weights diffuses in the highest order, and some traditional research tools such as spectrum theory , Difficult to export Boolean function cryptography. This result provides a theoretical basis for improving the ability of the cryptosystem to resist attacks.