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布尔函数的Walsh谱的概率意义及其应用
引用本文:曾本胜,李世取,曾文曲.布尔函数的Walsh谱的概率意义及其应用[J].工业工程,1994(1).
作者姓名:曾本胜  李世取  曾文曲
作者单位:解放军信息工程学院,广东机械学院
摘    要:本文揭示了布尔函数的Walsh谱的概率实质,对布尔函数的线性逼近的最佳意义作出了概率解释.并利用Walsh谱的概率意义进行了谱分析.考察了谱的运算性质。文中的方法和结论对密码设计和分析都是有用的。

关 键 词:相关免疫  Walsh谱  布尔函数  相关度  概率

ON THE SIGNIFICANCE OF THE PROBABILITY AND THE APPLICATIONS OF THE WALSH SPECTRA OF BOOLEAN FUNCTIONS
Zeng Bensheng ,Lishiqu.ON THE SIGNIFICANCE OF THE PROBABILITY AND THE APPLICATIONS OF THE WALSH SPECTRA OF BOOLEAN FUNCTIONS[J].Industrial Engineering Journal,1994(1).
Authors:Zeng Bensheng  Lishiqu
Affiliation:Zeng Bensheng ;Lishiqu(Information Engineering institute of PLA)Zeng Wenqu(Guang dong Mechanical institute)
Abstract:In this peper we give the essence of the probability of the Walsh spectra of Boolean functionsand make explanations on the best significance of the linear approximation of Boolean functions.Moreover we make speCtrum analysis by using the significance of the Probability of Walsh speCtraand consider the Properties of the operations of speCtra. The methods and results in this P8per arevan useful for cryptognphic design and cryptogtaphic analysis
Keywords:correlation - immunity  Walsh spectrum  boolean function  correlation  measure  Probability
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