CAJ | 학술논문

利用Nega-Hadamard变换的性质，研究了bent函数与其对偶函数Nega-Hadamard变换的关系，得出bent函数为negabent函数，其对偶函数也是negabent函数的结果；同时，得到了布尔函数在某个仿射子空间上Nega-Hadamard变换的性质；研究了布尔函数的导数与它的二进制移位关于Nega-Hadamard变换的关系。
이용Nega-Hadamard변환적성질，연구료bent함수여기대우함수Nega-Hadamard변환적관계，득출bent함수위negabent함수，기대우함수야시negabent함수적결과；동시，득도료포이함수재모개방사자공간상Nega-Hadamard변환적성질；연구료포이함수적도수여타적이진제이위관우Nega-Hadamard변환적관계。
By using the properties of Nega-Hadamard transform,this paper studied the relationship between bent function and its dual in the Nega-Hadamard transform.It showed that if bent function was a negabent,then its dual was again negabent. Also,it obtained the property of the Nega-Hadamard transform of Boolean function fin some affine subspace.At last,it pro-vided the relationship between the Nega-Hadamard transforms of the derivatives of fand the dyadic shifts.