多输出布尔函数的特征值分析
The Analysis of Eigenvalue of Multi-outputting Boolean Functions
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摘要: 为了研究自变量是独立而非均匀分布条件下的多输出布尔函数的密码学性质,文章定义了多输出布尔函数的谱值和特征值,给出了多输出函数的特征值的一般表达式和估计式,并且计算出了n阶布尔置换和t-弹性函数特征值的上界.Abstract: In order to investigate the cryptographical properties of the Multi-outputting Boolean functions under non-uniformity of arguments, this paper defines the spectrum and eigenvalue, presents the general expression and estimation formula, and computes the upper bounds ofagonic functions and t -resilient functions.
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温巧燕,钮心忻,杨义先.现代密码学中的布尔函数[M].北京:科学出版社,2000:174.[2]Meier W.[J].Staffelbach O. Nonlinearity criteria for cryptographic functions. Advances in Cryptology-Eurocrypt89, Proceedings[C].Springer-Verlag.1989,:-[3]Kanstantsin, Miranovich. Spectral analysis of Boolean functions under non-uniformity of arguments. http:∥eprint. iacr. org 2002.[4]王育民,王新梅,李大兴.密码学进展.CHINACRYPT2002[M],威海,2002.北京:电子工业出版社,2002:259-260. -
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