一階相關免疫函數(shù)的計數(shù)
NONLINEAR STRUCTURE FUNCTIONS AND THE ENUMERATION OF THE FIRST ORDER CORRELATION-IMMUNE FUNCTIONS
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摘要: 通過研究布爾函數(shù)的線性結(jié)構(gòu),得到了一類滿足一階相關免疫的不具有線性結(jié)構(gòu)的函數(shù),由此給出了一階相關免疫函數(shù)個數(shù)的一個新下界。Abstract: By discussing linear structures of Boolean functions, a large class of the first order correlation-immune nonlinear structure functions is got; After enumerating this class of functions, a new lower bound of the number of the first order correlation-immune functions is given.
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Siegenthaler T. Correlation-immunity of nonlinear combining function for cryptographic applicatian.[2]IEEE Trans. on Inform. Theory, 1994, IT-30(5): 776-780.[3]Mrtchell C. Enumerating boolean functions of cryptographic significance. J of cryptology, 1990, 2(3): 155-170.[4]王建宇.線性結(jié)構(gòu)函數(shù)與一階相關免疫函數(shù)的計數(shù).通信學報,1996, (1): 87-91.[5]Carrion P. On Correlation-Immune Functions. Advances in Cryptology, Crypto91, Springer-Verlag,[6]-100.[7]吳文玲,肖國鎮(zhèn).關于布爾函數(shù)的線性結(jié)構(gòu).電子學報,已錄用 -
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