A characterization of balanced Boolean functions with optimal algebraic immunity

作者：Tao, Xie^*

来源：Discrete Applied Mathematics, 2018, 247: 186-196.

DOI：10.1016/j.dam.2018.03.059

• Algebraic immunity
• Boolean function
• Schur function
• Annihilator
• Nonlinearity

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.

• 出版日期2018-10-1
• 单位湖北师范大学