| Bent互补函数偶族的充分必要条件 |
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| 引用本文： | 靳慧龙,许成谦.Bent互补函数偶族的充分必要条件[J].电子与信息学报,2008,30(6):1397-1399. |
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| 作者姓名： | 靳慧龙 许成谦 |
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| 作者单位： | 1. 河北师范大学电子系,石家庄,050031;燕山大学信息科学与工程学院,秦皇岛,066004
2. 燕山大学信息科学与工程学院,秦皇岛,066004 |
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| 基金项目： | 河北省师范大学重点课程基金 |
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| 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。
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| 关 键 词： | 编码理论 Bent函数 Bent互补函数偶族 充要条件 |
| 收稿时间： | 2006-11-24 |
| 修稿时间： | 2007-5-28 |
The Necessary and Sufficient Condition of the Families of Bent Complementary Function Pairs |
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| Jin Hui-long,Xu Cheng-qian.The Necessary and Sufficient Condition of the Families of Bent Complementary Function Pairs[J].Journal of Electronics & Information Technology,2008,30(6):1397-1399. |
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| Authors: | Jin Hui-long Xu Cheng-qian |
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| Affiliation: | The Faculty of Electronic, Hebei Normal University, Shijiazhuang 050031, China; The College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China |
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| 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. |
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| Keywords: | Coding theory Bent function Families of Bent complementary function pairs Necessary and sufficient condition |
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