满足k阶PC(l)的密码函数的新构造

New Construction of Cryptographic Functions Satisfying PC(l) of Order k

该文基于线性分组码和双射函数,给出了满足七阶PC(l)的均衡相关免疫布尔函数新的构造方法。并据此进一步给出满足七阶PC(l)的(n,m,t)弹性函数的一般构造方法。此外,该文还揭示了这些函数的其它良好的密码学性质,如较高的非线性度、良好的代数次数、良好的构造计数等。

In this paper, a new generalized construction method for correlation immune Boolean function satisfying PC(l) of order k is provided. The construction is based on the use of linear error-correcting codes together with bijective functions. Furthermore, some new construction methods for (n , m , t) resilient functions satisfying PC(l) of order k is also discussed. In addition, the authors also show that these functions have many other good cryptographic properties such as high nonlinearity, good algebraic degree and so on.