多輸出布爾函數(shù)的特征值分析
The Analysis of Eigenvalue of Multi-outputting Boolean Functions
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摘要: 為了研究自變量是獨立而非均勻分布條件下的多輸出布爾函數(shù)的密碼學(xué)性質(zhì),文章定義了多輸出布爾函數(shù)的譜值和特征值,給出了多輸出函數(shù)的特征值的一般表達(dá)式和估計式,并且計算出了n階布爾置換和t-彈性函數(shù)特征值的上界.
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關(guān)鍵詞:
- 特征值; 無偏函數(shù); t-彈性函數(shù); 布爾置換
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. -
溫巧燕,鈕心忻,楊義先.現(xiàn)代密碼學(xué)中的布爾函數(shù)[M].北京:科學(xué)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,李大興.密碼學(xué)進(jìn)展.CHINACRYPT2002[M],威海,2002.北京:電子工業(yè)出版社,2002:259-260. -
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