论文标题
差异集和弯曲功能中的代数方法
Algebraic Methods in Difference Sets and Bent Functions
论文作者
论文摘要
我们为差异集提供了多项式标准的某些应用。其中包括根据希尔伯特函数(特别是弯曲函数计数)对指定参数的差异集进行计数。我们还考虑了有关$ \ MATHCAL {C} $ - 他引入的$ \ Mathcal {C} $时,您引入的某些布尔功能的弯曲问题。
We provide some applications of a polynomial criterion for difference sets. These include counting the difference sets with specified parameters in terms of Hilbert functions, in particular a count of bent functions. We also consider the question about the bentness of certain Boolean functions introduced by Carlet when the $\mathcal{C}$-condition introduced by him doesn't hold.