有限域上的函数的相关免疫性和线性结构的谱特征  

Spectral Characterization of Correlation immune and Linear Structures of Functions over Finite Field

作　　者：冯登国[1,2] 肖国镇[1,2] 

机构地区：[1]中国科学院研究生院 [2]西安电子科技大学

出　　处：《通信学报》1997年第1期40-45,共6页Journal on Communications

摘　　要：本文首先对有限域上的相关免疫函数进行了研究，揭示了相关免疫性，统计独立性和平衡性之间的关系。其次介绍了有限域上的两种广义Ｃｈｒｅｓｔｅｎｓｏｎ谱并讨论了这两种谱之间的关系，给出了有限域上的相关免疫函数的频谱特征。Firstly, correlation immune functions over finite field is discussed, the relationship among correlation immune, statistical independence and balance is revealed. Secondly, two kinds of generalized chrestenson spectrum over finite field are introduced and their relationship is discussed, a spectral characterization of correlation immune functions over finite field is derived. Finally, spectral characterization of linear structure of functions over finite field is explored.

关 键 词：相关免疫 统计独立 平衡性 谱 线性结构 密码学 

分 类 号：TN918.1[电子电信—通信与信息系统]