有限域上广义部分Bent函数与广义Bent函数的关系  

Relationship between Generalized Partially Bent Functions and Generalized Bent Functions over Finite Fields

作　　者：元彦斌[1] 金栋梁[1] 赵亚群[1] 张肃[2] 

机构地区：[1]信息工程大学信息工程学院,河南郑州450002 [2]石家庄陆军指挥学院,河北石家庄050084

出　　处：《信息工程大学学报》2009年第3期313-317,共5页Journal of Information Engineering University

基　　金：信息安全国家重点实验室开放基金资助项目(01-02)

摘　　要：首次将部分Bent函数的概念拓广到有限域上,仍称之为广义部分Bent函数,并利用有限域上广义部分Bent函数的Chrestenson循环谱特征及有限域上逻辑函数与相应素域上向量逻辑函数的关系,讨论了有限域上广义部分Bent函数与广义Bent函数的关系,给出了这两种逻辑函数之间的函数关系式和谱值关系式。This paper firstly extends the concept of partially bent functions to finite fields, which are still named generalized partially bent functions. By using Chrestenson cyclic spectrum characteristic of generalized partially bent functions and the relationship between the logical functions over finite fields and vector logical functions over corresponding prime fields, the relationship of generalized partially bent functions and generalized bent functions over finite fields is discussed, then the relation expression of the two kinds of logical functions and the spectrum are presented.

关 键 词：有限域 广义部分Bent函数 广义BENT函数 正规基 核函数 

分 类 号：TN918.1[电子电信—通信与信息系统]