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高非线性度三次齐次plateaued函数

DOI: 10.13190/jbupt.200901.81.zhangfr, PP. 81-84

Keywords: plateaued函数,循环Walsh变换,密码函数,布尔函数

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Abstract:

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.

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