两类多输出逻辑函数的关系

计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (13): 54-56.

两类多输出逻辑函数的关系

金栋梁¹,赵亚群^1,2

1.信息工程大学信息工程学院，郑州 450002
2.中国科学院研究生院信息安全国家重点实验室，北京 100039

收稿日期:2007-08-22 修回日期:2007-10-23 出版日期:2008-05-01 发布日期:2008-05-01
通讯作者: 金栋梁

Relationship between multi-output generalized partially Bent functions and multi-output generalized Bent functions

JIN Dong-liang¹,ZHAO Ya-qun^1,2

1.Information Engineering Institute，Information Engineering University，Zhengzhou，Henan 450002，China
2.State Kay Laboratory of Information Security，Graduate of Chinese Academy of Sciences，Beijing 100039，China

Received:2007-08-22 Revised:2007-10-23 Online:2008-05-01 Published:2008-05-01
Contact: JIN Dong-liang

摘要/Abstract

摘要： 首次给出了多输出广义部分Bent函数的定义并论证了其的存在，得到了多输出广义部分Bent函数的等价判别条件，给出了多输出p值广义部分Bent函数与多输出p值广义Bent函数的关系，并讨论了这两者的广义一阶Chrestenson谱的关系，为多输出p值广义部分Bent函数的构造提供了一种方法。

关键词: 多输出广义部分Bent函数, 多输出广义Bent函数, 广义一阶Chrestenson谱, 等价判别条件

Abstract: The definition and existence of multi-output generalized partially Bent functions are discussed，then the criterion of multi-output generalized partially Bent functions is presented，and the relationship between multi-output p-valued generalized partially Bent functions and multi-output p-valued generalized Bent functions is obtained，which includes the generalized Chrestenson spectrum expression and function expression，meanwhile a method of constructing multi-output p-valued generalized partially Bent functions is provided.

Key words: multi-output generalized partially Bent functions, multi-output generalized Bent functions, generalized Chrestenson spectrum, criterion

金栋梁¹,赵亚群^1,2. 两类多输出逻辑函数的关系[J]. 计算机工程与应用, 2008, 44(13): 54-56.

JIN Dong-liang¹,ZHAO Ya-qun^1,2. Relationship between multi-output generalized partially Bent functions and multi-output generalized Bent functions[J]. Computer Engineering and Applications, 2008, 44(13): 54-56.