balanced functor

For any given integers n,m(n≥m), and the balanced function f(x) on-alphabet set, m balanced functions can be obtained by using bifurcate tree.

对任意的正整数n,m(n≥m),当给定一个GF(2)n上的平衡函数f1(x)时,根据f1(x)的取值情况,把GF(2)n划分成若干个不相交的集合,由这些集合可递归地构造出平衡函数f2(x),…,fm(x),且它们的任意线性组合都是平衡函数。

It is constructed that a class of orthogonal Bent sequences,and used them to get balanced functions with high nonlinearity and satisfying SAC.

通过构造一组正交的Bent函数 (序列 ) ,利用它进一步构造出一类具有高非线性度、满足SAC的平衡函数 ,得到比较广泛的结果。

For any given integers n,m ( n≥m) and the balanced function f(x)on 2n-alphabet set, m balanced functions can be obtained by using bifurcate tree.

把多输出正交函数的概念推广到了有限域上,给出了一种在有限域上递归地构造平衡函数的方法,从而得到构造多输出正交函数的方法。

This paper gives two sufficient and necessary conditions whether the addition function of k(k≥2) Bent functions is Bent function by using probability and the property of balance function,and calculates the correlation coefficient of such a pair of Bent functions.

分别从平衡函数和概率角度给出了k(k≥2)个Bent函数的和函数是Bent函数的充要条件,并计算了这类函数对的相关系数。

Based on the distance concept in this paper,potential function and balance function are introduced and used to measure the uniformity of points distributed in a general convex polyhedron.

本文从距离概念出发,定义了两种新的函数—势函数和平衡函数,并将它们作为任意凸多面体上布点均匀性好坏的度量准则。