一阶相关免疫函数的计数
NONLINEAR STRUCTURE FUNCTIONS AND THE ENUMERATION OF THE FIRST ORDER CORRELATION-IMMUNE FUNCTIONS
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摘要: 通过研究布尔函数的线性结构,得到了一类满足一阶相关免疫的不具有线性结构的函数,由此给出了一阶相关免疫函数个数的一个新下界。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.线性结构函数与一阶相关免疫函数的计数.通信学报,1996, (1): 87-91.[5]Carrion P. On Correlation-Immune Functions. Advances in Cryptology, Crypto91, Springer-Verlag,[6]-100.[7]吴文玲,肖国镇.关于布尔函数的线性结构.电子学报,已录用 -
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