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高非线性度三次齐次Plateaued函数

Highly Nonlinear Cubic Homogenous Plateaued Functions
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摘要 对一类三次plateaued函数进行了研究,证明了该函数具有高非线性度且没有线性结构.同时借助对称矩阵给出了该函数和三次齐次plateaued函数等价的条件,并给出了构造该三次齐次plateaued函数的具体方法. A class of cubic plateaued functions is investigated. It is shown that they have high nonlin- earity without linear structure. A special condition is given that the functions are equivalent to cubic homogenous plateaued functions via the symmetric matrixes. Besides these, a method for constructing cubic homogenous plateaued functions is presented.
出处 《北京邮电大学学报》 EI CAS CSCD 北大核心 2009年第1期81-84,共4页 Journal of Beijing University of Posts and Telecommunications
基金 国家自然科学基金项目(60503010 60673072)
关键词 PLATEAUED函数 循环Walsh变换 密码函数 布尔函数 plateaued functions Walsh cyclic spectrum cryptographic functions Boolean functions
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参考文献9

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