布爾函數(shù)的線性結(jié)構(gòu)的特征
CHARACTER OF LINEAR STRUCTURES OF BOOLEAN FUNCTIONS
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摘要: 本文首先利用布爾函數(shù)的特征集合對(duì)布爾函數(shù)的線性結(jié)構(gòu)進(jìn)行了刻劃,給出了尋找布爾函數(shù)的線性結(jié)構(gòu)的一種方法。其次引入了布爾函數(shù)的r型線性結(jié)構(gòu)的概念,并對(duì)其進(jìn)行了研究,同時(shí)還指出了布爾函數(shù)的r型線性結(jié)構(gòu)的密碼學(xué)意義。
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關(guān)鍵詞:
- 布爾函數(shù); 線性結(jié)構(gòu); 特征集合
Abstract: The linear structures of Boolean functions are discussed using characteristic set of Boolean functions, and a way to find linear structures of Boolean functions is given. Then, the linear structures of Boolean functions are generalized, and r-type linear structures of Boolean functions are presented and studied, meanwhile the cryptological significance of r-type linear structures of Boolean functions is described. -
Nyberg K. 0n the construction of highly nonlinear permutations. Advances in Cryptology, Proc. Eourocrypto'92. Springer-Verlag.1993, 92-98.[2]Nyberg K.[J].Knudsen L K. Provable Security against Differential Cryptanalysis. Advauces in Cryptology, Proc. ,Eurocrypto92, Springer-Verlag.1993,:- -
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