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A New Design and Construction Method of Bent Functions

机译:弯曲功能的新设计与施工方法

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摘要

Bent function is a class of the highest nonlinear Boolean functions.In this paper three methods of design and construction are discussed with examples,which are algebra method,the character function in projective geometry and random researching method.Also,the Bent function of PS class is implemented with C language.At last,the concatenate construction from m=2n-λ Bent functions of k variables to a Bent function of n variables is given and verified with Walsh spectra.
机译:弯曲功能是一类最高的非线性布尔函数。本文用示例讨论了三种设计和结构方法,这些方法是代数方法,投影几何形状和随机研究方法的特征函数.PS类的弯曲功能用C语言实现。最后,用沃尔什光谱给出了k变量的M = 2n-λ弯曲功能的连接结构,并用Walsh光谱验证。

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