基于特殊阵列递归构造Bent互补函数偶族  

Recursive construction based on special arrays for the families of Bent complementary function pairs

作　　者：许成谦[1] 靳慧龙[1] 

机构地区：[1]燕山大学信息科学与工程学院

出　　处：《系统工程与电子技术》2005年第1期145-148,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(60272026)

摘　　要：单值并元相关函数互补码偶是一类并元自相关函数为脉冲函数的一族码偶。这样的码偶具有能将码偶中的一方码与另一方码的并元移位区分开来的特性。为了进一步研究单值并元相关函数互补码偶,并为其研究提供有效的数学工具,提出了一类新的类Bent函数———Bent互补函数偶族。进一步研究了Bent互补函数偶族的构造方法,给出了应用列正交阵列和列并元最佳阵列偶由低维Bent互补函数偶族递归构造高维Bent互补函数偶族的方法。应用Bent互补函数偶族与单值并元相关函数互补码偶的等价关系,相应地可以构造出许多单值并元相关函数互补码偶。The code pairs with one value dyadic relative functions are the code pairs that the dyadic relative functions are the function like pulses. These code pairs have the properties that one part of the codes in code pairs is distinguished from the other part of the codes. In order to further research the code pairs with one value dyadic relative functions and give a mathematic method for researching it, the concept of the families of Bent complementary function pairs (BCFPF) is presented. Some special recursive construction methods for BCFPF are further researched. These construction methods for the BCFPFs with higher dimensions are based on some special arrays, for example, orthogonal columns and perfect arrays. More code pairs with one value dyadic relative functions can be constructed correspondingly by using the equivalent relationship between the BCFPF and the code pairs with one value dyadic relative functions.

关 键 词：信号设计 BENT函数 Bent互补函数偶族 阵列 

分 类 号：TN911[电子电信—通信与信息系统]