布尔函数

After that the construction of resilient Boolean functions becomes an important direction of the research of Boolean function.

此后，弹性函数的构造一直是布尔函数研究中的一个重要工作。

The Bent function is very important in the construction of a high nonlinearity Boolean function which is applied in the design of the cipher system.

本文所研究的Bent函数，对于构造一类具有高非线性度的布尔函数在密码体制的应用具有重要意义。

The relationship between the partial spectra of a Boolean function and the spectra of its sub-functions is discovered.

本文揭示了布尔函数部分点谱值和其子函数谱值的关系。

This paper applies Particle Swarm Optimization algorithm in the cryptology area to design Boolean function in cryptography.

将粒子群(Particle Swarm Optimization，PSO)算法应用于密码学领域，设计密码学中的密码函数—布尔函数。

Resilient function is a natural generalization of correlation immunity Boolean function.

弹性函数是相关免疫布尔函数的自然推广。

The generalized Walsh spectral characteristics and the generalized auto-correlation function characteristics of orthormophic permutations are studied by using of knowledge about the relation between orthomorphic permutations and vector Boolean functions.

运用向量布尔函数的知识研究了正形置换的广义一阶Walsh谱特征和广义自相关函数的特征，通过正形置换的广义一阶Walsh谱特征给出了正形置换的几种构造方法。

The redundant controller produces odd and even check code in setup time. After odd and even check code is calculated with Boolean function calculation, it is transformed into of Galois field. If the output of controller can satisfy odd and even check condition is checked with the function calculation to decide it exist fault or not.

该控制器在设定时间产生奇偶校验码，通过布尔函数逻辑运算转换成Galois域函数运算，检验其输出是否满足奇偶校验条件以判断是否存在故障。

And each symmetric function can be written into a linear combination of homogeneous symmetric functions.

这样，就可以把一个n元对称布尔函数转化为一个n+1维向量v_f =v_f (0， v_f (1)，…， v_f，其中v_f表示重量为i的函数值， 0≤i≤n，此向量v_f称为对称函数f的向量值，极大地减少了对存储空间的需求，并且在软件应用中发挥着重要作用。

Some important characteristics of functions which have balancedness, correlation inimunityc propagation criterion or strict avalanche criterion are pointed out respectively; For example, presents the feature of the Walsh spectrum and the algebraic normal forms of functions with balanced correlation immunity.

分别指出了满足平衡性、相关免疫性、扩散性和严格雪崩特性等的布尔函数的一些重要特征，如关于平衡相关免疫函数的谱特征和其代数标准型的结构特征。

In this paper,the possessed knowledge on study generalized correlation-immunity is introduced,including stream ciphers system,Booleam function in ciphers,divide-and-conquer attacks,ungraduated ruler of correlation-immune.

文章介绍了研究广义相关免疫函数应具备的知识，包括：流密码体制、密码学中的布尔函数、分别征服代数攻击、相关免疫的界定。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。