Bent互补函数偶族的充分必要条件
doi: 10.3724/SP.J.1146.2006.01865
The Necessary and Sufficient Condition of the Families of Bent Complementary Function Pairs
-
摘要: 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。Abstract: 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。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.
-
Rothaus OS. On Bent functions[J].J of Combin. Theory.1976,20(A):300-305[2]杨义先, 许成谦, 胡正名著. 并元理论及其应用. 北京: 人民邮电出版社, 2002: 36-74.[3]许成谦, 杨义先, 胡正名. Bent 互补函数族的性质和构造方法.电子学报, 1997, 25(10): 52-56.[4]赵晓群, 何文才, 王仲文等. 最佳二进阵列偶理论研究. 电子学报, 1999, 27(1): 34-35.[5]许成谦, 靳慧龙. 几乎最佳周期互补二元序列偶族. 系统工程与电子技术, 2003, 25(9): 1086-1089.[6]许成谦, 靳慧龙. 基于特殊阵列递归构造Bent 互补函数偶族.系统工程与电子技术, 2005, 27(1): 45-48. -
计量
- 文章访问数: 3185
- HTML全文浏览量: 102
- PDF下载量: 631
- 被引次数: 0
下载:
