二元向量输出的PartiallyBent函数(英文)  

Binary Vector-output Partially Bent Functions

作　　者：岳廷海[1] 陈鲁生[1] 符方伟[1] 

机构地区：[1]南开大学数学科学学院

出　　处：《南开大学学报（自然科学版）》2007年第3期31-37,共7页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the National Natural Science Foundation of China (60172060)

摘　　要：把关于布尔函数的 Carlet 不等式推广到向量输出的布尔函数并且引入了向量输出的 Partially Bent函数的概念,即广义 Carlet 不等式中等式成立的向量输出布尔函数.给出了一些广义 Carlet 不等式中等式成立的充分必要条件.进一步讨论了二元向量输出的 partially bent 函数的密码学性质.The Carlet inequality for Boolean functions is extended to vector-output Boolean functions in this paper. Vector-output partially bent functions are introduced as the vector-output Boolean functions for which equality holds in the generalized Carlet inequality. Some necessary and sufficient conditions are given for which equality holds in the generalized Carlet inequality. Furthermore, the cryptographic properties of binary vectoroutput partially bent functions are discussed.

关 键 词：密码学 PARTIALLY BENT函数 非线性度 线性结构 

分 类 号：TN918.1[电子电信—通信与信息系统]