一类多输出Bent函数的构造  

Construction of a Class of Multi-output Bent Functions

作　　者：刘志高[1] 张福泰[1] 徐倩[1] 

机构地区：[1]南京师范大学数学与计算机科学学院

出　　处：《南京师范大学学报（工程技术版）》2005年第2期46-49,共4页Journal of Nanjing Normal University(Engineering and Technology Edition)

基　　金：江苏省高校自然科学研究计划重点资助项目(03KJA520066);教育部网络与信息安全重点实验室(西安电子科技大学)开放课题资助项目.

摘　　要：推广了半Bent函数的概念,提出了多输出半Bent函数的概念,并由此给出了多输出Bent函数的一种构造方法.该方法通过级联两个多输出半Bent函数得到多输出Bent函数.与原有的方法相比,该方法具有结构简单、使用方便的优点.用此方法可构造具有任意偶数个变元的多输出Bent函数.此外,还给出了多输出半Bent函数的一种构造方法.除了可用于构造多输出Bent函数外,多输出半Bent函数还可应用于多输出前馈网等方面.The concept of semi-bent functions is generalized. Meanwhile, the concept of multi-output semi-bent functions is introduced. Based on the new concept, a method of construct ing multi-output Bent functions is presented. In the method, a multi-output Bent function is constructed by concatenating two multi-output semi-Bent functions. Compared with the existing methods, our newly proposed method has a simple structure and is convenient to use. With this new method, multi-output Bent functions with arbitrary even variables can be constructed. Moreover, a method of constructing multi-output semi-Bent functions is proposed. Besides, applications in the construction of multi-output Bent functions, multi-output semi-Bent functions can also be applied in multi-output feedforward networks.

关 键 词：BENT函数 半Bent函数 多输出Bent函数 多输出半Bent函数 WALSH谱 

分 类 号：TN918[电子电信—通信与信息系统]