特殊逻辑函数布尔差分及布尔e-导数的性质研究

Research on the properties of the Boolean difference and Boolean E-derivative on special logic functions

布尔差分和布尔e-导数是组合电路故障检测和布尔函数密码学性质研究的一种有效工具.从线性函数、冗余函数、自反函数、自双反函数、部分自反函数、部分自双反函数的定义出发,讨论了这些特殊布尔函数布尔差分和布尔e-导数的性质,并给出了相应的证明,为方便快捷地实现故障检测和密码学函数的构造奠定理论基础.

The Boolean difference and Boolean e-derivative are efficient instrument of the fault detecting in combina- tional circuit and the cryptology character research in Boolean functions. According to the definition of the redundant function, linear function, dual function, self-dual function, partial dual function and partial self-dual function, the properties of special logic functions are proposed, which are proved by the use of its definitions, theorems and formu- las in Boolean algebra, this work laid the academic foundation of the fault detecting and the cryptology functions constructing.