构造具有良好密码学性质的旋转对称布尔函数

Construction of Rotation Symmetric Boolean Functions with Good Cryptographic Properties

该文提出构造具有良好密码学性质的2m元旋转对称布尔函数的新方法。该类函数是平衡的,具有最大代数免疫度、最优代数次数和高非线性度,是一类能够同时满足多种密码学指标的优良函数。

In this paper, a new class of rotation symmetric Boolean functions with good cryptographic properties are constructed when the number of variables is 2^m. These constructed functions are balanced, and have maximum algebraic immunity, optimum algebraic degree and high nonlinearity. They are excellent functions which can satisfy many cryptographic indexes simultaneously.