A characterization of balanced Boolean functions with optimal algebraic immunity
A characterization of balanced Boolean functions with optimal algebraic immunity
复制标题
DOI：
10.1016/j.dam.2018.03.059
复制
发表时间：
2018-10
期刊：
影响因子：
--
通讯作者：
T. Xie
中科院分区：
文献类型：
--
作者：
T. Xie
本文利用Schur函数刻画了具有最优代数免疫性的平衡布尔函数。利用这一刻划，构造了三类具有最优代数免疫性的平衡布尔函数。文中还给出了一些具有其他所需密码性质的构造函数的例子。
In this paper, we characterize balanced Boolean functions with optimal algebraic immunity by Schur functions. By applying this characterization, three classes of balanced Boolean functions with optimal algebraic immunity are constructed. Some examples of the constructed functions with other desired cryptographic properties are also presented.