| 三类Semi-Bent函数的构造 |
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| 引用本文： | 何业锋,马文平. 三类Semi-Bent函数的构造[J]. 电子学报, 2011, 39(1): 233-236 |
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| 作者姓名： | 何业锋 马文平 |
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| 作者单位： | 西安电子科技大学计算机网络与信息安全教育部重点实验室;西安邮电学院通信与信息工程学院; |
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| 基金项目： | 国家自然科学基金(No.60773002); 国家863高技术研究发展计划(No.2007AA01Z472); 大唐移动通信资助基金 |
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| 摘 要： | Semi-bent函数是一种具有高非线性度的布尔函数,它们在密码和通信领域中都有重要的应用价值.本文构造了三类由迹函数表示的semi-bent函数.证明了当限制某些参数的取值范围时,这些新构造函数的semi-bent性与Kloosterman和密切相关.并且证明了每一类新构造的含有n个变元的semi-bent函数,都存...
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| 关 键 词： | 布尔函数 semi-bent函数 Hadamard变换 Kloosterman和 |
| 收稿时间： | 2009-11-28 |
Constructions of Three Classes of Semi-Bent Functions |
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| HE Ye-feng,MA Wen-ping. Constructions of Three Classes of Semi-Bent Functions[J]. Acta Electronica Sinica, 2011, 39(1): 233-236 |
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| Authors: | HE Ye-feng MA Wen-ping |
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| Affiliation: | HE Ye-feng1,2,MA Wen-ping1(1.Ministry of Education Key Laboratory of Computer Network and Information Security,Xidian University,Xi'an,Shaanxi 710071,China,2.School of Communication and Information Engineering,Xi'an Institute of Post & Telecommunications,Shaanxi 710121,China) |
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| Abstract: | Semi-bent functions are a kind of Boolean functions with high nonlinearity.They have important applications in cryptography and communications.This paper gives three classes of semi-bent functions represented by trace.It is shown that the semi-bentness of the new functions is closely related to Kloosterman sums when the values of some parameters are restricted.It is also proved there exists a subclass of semi-bent functions with degree n/2 in each class of the new semi-bent functions on n variables.Several ... |
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| Keywords: | Boolean function semi-bent function Hadamard transform Kloosterman sums |
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