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2011•JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGYOpen access

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

Jin Hui-Long, XU Cheng-qian

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Abstract

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。 关键词: 编码理论; Bent函数; Bent互补函数偶族; 充要条件

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What this paper is about

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。 关键词: 编码理论; Bent函数; Bent互补函数偶族; 充要条件

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Available abstract

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。 关键词: 编码理论; Bent函数; Bent互补函数偶族; 充要条件

Key concepts: Bent molecular geometry, Bent function, Hadamard transform, Function (biology), Mathematics, Structural engineering, Biology, Engineering

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