Bent互补函数偶族的充分必要条件

The Necessary and Sufficient Condition of the Families of Bent Complementary Function Pairs

该文在研究Bent互补函数偶族性质的基础上,证明了Bent互补函数偶族与Hadamard互补矩阵偶族等价关系,即Bent互补函数偶族的构造充分必要条件,给出了Bent互补函数偶族的一种构造方法。根据等价关系,该文实质上也给出了Hadamard互补矩阵偶族的性质、构造方法,这些表明Bent互补函数偶族在最佳信号设计方面有广阔的应用前景。

Based on analysis of some characters of the families of Bent Complementary Function Pairs （BCFPF）, the equivalence relations of BCFPF with the families of Hadamard complementary matrix pairs is studied. The equivalence relation is the necessary and sufficient condition for constructions of BCFPF o A sort of construction method of BCFPF is provided. The families of Hadamard complementary matrix pairs and can be constructed correspondingly by using the equivalent relationships.