高阶相关免疫功能的频谱分析

Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252) Pub Date : 2001-06-24 DOI:10.1109/ISIT.2001.935932

Y. Tarannikov, D. Kirienko

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引用次数: 19

摘要

我们考虑F/下标2//sup n/， F/下标2/的n元元素的向量空间。一个n变量布尔函数是从F/sub 2//sup n/到F/sub 2/的映射。向量x的权值是x中1的个数，用|x|表示。函数f在f /下标2//sup n/上的权值wt(f)等于f /下标2//sup n/上使f(x)=1的向量x的个数。函数f是平衡的，如果wt(f)=wt(f/spl + /1)=2/sup n-1/。布尔函数f的一个子函数是一个函数f/spl急性/通过将f中的某些变量替换为某些常数而得到。

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Spectral analysis of high order correlation immune functions

We consider F/sub 2//sup n/, the vector space of n-tuples of elements from F/sub 2/. An n-variable Boolean function is a map from F/sub 2//sup n/ into F/sub 2/. The weight of a vector x is the number of ones in x and is denoted by |x|. The weight wt(f) of a function f on F/sub 2//sup n/ is the number of vectors x on F/sub 2//sup n/ such that f(x)=1. A function f is said to be balance if wt(f)=wt(f/spl oplus/1)=2/sup n-1/. A subfunction of the Boolean function f is a function f/spl acute/ obtained by substituting some constants for some variables in f.

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Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)

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