多输出Plateaued函数的密码学性质
doi: 10.3724/SP.J.1146.2008.00670
Cryptographic Properties of Multi-output Plateaued Functions
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摘要: 该文对多输出Plateaued函数的一些密码学性质进行了研究，以多输出函数的特征函数为工具，建立了多输出Plateaued函数的差分转移概率与其Walsh谱及阶数之间的关系。给出了多输出Plateaued函数的Walsh谱值在一定条件下的分布情形，指出多输出Plateaued函数的在其输出分量函数的任意非零线性组合函数均为非平衡函数时，其输入变量个数、输出变量个数与其阶数之间的关系满足。Abstract: This paper discusses the cryptographic properties of Multi-output plateaued functions, the relationship among difference, Walsh spectra and the order of Multi-output plateaued functions is established. The Walsh spectra distribution of Multi-output plateaued functions is given under certain conditions. Pointed that when any nonzero linear combination of the coordinate functions of the multi-output plateaued functions are not balanced, the relationship among the number of input variables, number of output variables and the order satisfy .
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