机构地区: 西安电子科技大学通信工程学院综合业务网理论与关键技术国家重点实验室
出 处: 《武汉大学学报(理学版)》 2012年第1期86-88,共3页
摘 要: 研究了Bent函数的对偶性,通过利用对偶函数的定义得到了两个Bent函数导数的Walsh谱与它们对偶函数导数的Walsh谱是相关的;同时,得到两个Bent函数之和与它们的对偶函数之和有相同的汉明重量. The focus of this paper is on duality of bent functions.By using the definition of the dual functions,we prove that the Walsh spectrum of any derivative of two bent functions is linked with the values of the Walsh transforms of the derivatives of their dual functions.Also,it is shown that the sum of two Bent functions and the sum of their dual functions have the same Hamming weight in this correspondence.