一階相關(guān)免疫布爾函數(shù)的計(jì)數(shù)
ENUMERATING CORRELATION-IMMUNE FUNCTIONS OF ORDER ONE
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摘要: 本文研究線性結(jié)構(gòu)布爾函數(shù)的相關(guān)免疫性,得到了一大類滿足一階相關(guān)免疫的線性結(jié)構(gòu)函數(shù),并大大改進(jìn)了一階相關(guān)免疫函數(shù)的計(jì)數(shù)結(jié)果,得到了目前為止的最好下界.
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關(guān)鍵詞:
- 布爾函數(shù); 序列密碼; 相關(guān)免疫函數(shù)
Abstract: A large class of linear structure functions satisfying correlation immunity of order one is found by the studying of linear structural Boolean functions. The known enumeration bounds of correlation-immune Boolean functions are greatly improved. The best updated lower bounds are found. -
Mitchell C. Enumerating Boolean function of cryptographic significance. J. Cryptology,1990,2(3): 155-170.[2]楊義先,胡正名.用于序列密碼的布爾函數(shù)計(jì)數(shù)問(wèn)題.通信學(xué)報(bào),1992,13(4): 18-24.[3]郭寶安.非線性序列的分析與綜合:[博士論文].北京:北京郵電大學(xué),1993.6.[4]Yang Yi Xian, Guo Bao An. Further enumeration of Boolean functions of cryptographic significance. J.Cryptology, 1996, 8(1):115-122.[5]OConnor L, Klapper A. Algebraic nonlinearity and its applications to cryptography. J. Cryptology, 1994, 7(4): 213-227.[6]楊義先,林須端,胡正名.編碼密碼學(xué).北京:人民郵電出版社,1992年,第15章,538-549. -
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