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Constructions of Three Classes of Semi-Bent Functions
Author(s): 
Pages: 233-236
Year: Issue:  1
Journal: Acta Electronica Sinica

Keyword:  布尔函数semi-bent函数Hadamard变换Kloosterman和;
Abstract: 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,都存在一个semi-bent函数的子类,它们的代数次数是n/2.利用Klooster...
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