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A New Design and Construction Method of Bent Functions

机译:Bent函数的新设计与构造方法

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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:Bent函数是一类最高级别的布尔布尔函数。本文以算例,代数方法,射影几何中的特征函数和随机研究方法为例,讨论了三种设计和构造方法。PS类的Bent函数最后,给出了从k =变量的m =2n-λBent函数到n变量的Bent函数的级联构造,并用Walsh谱进行了验证。

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