Galois环和剩余类环上逻辑函数的变换

Transformations of Logic Functions over Galois Rings and Z_m Rings

本文利用特征谱对Galois环和剩余类环上逻辑函数变换进行了研究 ,给出了逻辑函数和变换的逻辑函数密码性质之间的关系 ,这些密码性质包括平衡性 ,非线性度 ,bent函数 。

In this paper, the author discusses transformations of logic functions over Galois rings and Z m rings and describes the relationship between some cryptographic properties, such as balance, nonlinearity, bent functions, perfect nonlinear functions and propagation properties, of logic functions over Galois rings and Z m rings.