共查询到18条相似文献,搜索用时 546 毫秒
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通过计算选择逻辑函数的Walsh循环谱和自相关函数,系统分析了选择逻辑函数的密码学性质。所得结论表明选择逻辑函数在变元个数较大的情况下具有理想的稳定性,能够抵抗最佳仿射(BAA)攻击,但是其“扩散”特性不够理想,在一定意义下不能有效地抗击差分攻击。讨论了与选择逻辑函数线性等价意义下满足严格雪崩准则或具有相关免疫性的逻辑函数构造问题。 相似文献
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给出了剩余类环Zm上逻辑函数的k阶严格雪崩准则(SAC)的概念, 用概率方法证明了m值逻辑函数满足高阶严格雪崩准则时一定满足低阶严格雪崩准则, 并借助Chrestenson谱给出了m值逻辑函数满足k阶严格雪崩准则的一个充分必要条件。 相似文献
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p值随机变量联合分布的分解式及其应用 总被引:3,自引:0,他引:3
给出了一般概率空间上n维p值(户为素数)随机变量的联合分布与其分量的任意非零线性和的分布之间的等量关系,并将之应用于与户值逻辑函数相应的p值随机变量的有关联合分布的分解,得到了p值逻辑函数和户值逻辑向量函数相关免疫性的等价条件及谱判别条件,揭示出p值逻辑函数、p值逻辑向量函数相关免疫性的若干等价条件的概率内在联系。 相似文献
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相关免疫布尔函数的一种构造方法 总被引:3,自引:0,他引:3
本文证明了布尔函数的谱分解定理,定义了布尔函数的谱(分解)特征向量,给出相应的充要条件,将全部N元相关免疫布尔函数的构造问题转化为线性方程组的求解问题,为相关免疫布尔函数的构造提供了新的方法。)满足,可求得符合要求的用上述方法我们通过人工计算确定出86个符合要求的谱特征向量,注意到向量中各分量地位的对称性,并注意到定理4,我们得知全部4无相关免疫的非平凡布尔函数共2×324=648个N=4,m=2时,定理6中条件即从后面11个方程可求得联系(Ⅱ)中的第5~14个方和即知在(Ⅲ4)下b1、b2、b3、b4全为1(全为0平凡情况),在(Ⅲ4)下b1、b2、b3、b4中有3个取1、1个取0,由此可得全部4元至少2阶相关免疫的非平凡布尔函数所对应的谱特征向量如下:它们所对应的的布尔函数依次是(此结论与[1]p155上结论相符),因而4元1阶相关免疫的布尔函数共有648-10=638个。一般情况下,在我们的方法里构造全部N元相关免疫布尔函数实质上是在定理6中“约束条件”(1)下去求2N-1个变元、N个方程的方程组(Ⅱ)所有解,构造全部N元至少m(≥2)附相关免疫布尔函数实质上是在定理6中“约束条件,(1)下去解2N- 相似文献
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对称布尔函数的代数免疫性 总被引:2,自引:0,他引:2
在流密码和分组密码的加密体制中,需要构作具有各种密码学性质的布尔函数,用来作为密钥,以抵抗已有的各种有效攻击方法。近年来,人们提出了代数攻击方法,为了抵抗这种攻击方式,构作代数免疫度很大的布尔函数,成为近五年来信息安全领域一个研究热点。本文综述布尔函数代数免疫性方面的重要问题和主要进展,其中包括中国学者在对称布尔函数代数免疫性的研究成果。 相似文献
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概述了目前密码学中布尔函数的研究现状和重要研究方向上的新成果,并对布尔函数的研究进行了展望,指出了一些重要的研究热点问题. 相似文献
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在白噪声激励下,结构响应的相关函数作为脉冲响应函数的近似可以进行模态参数辨识,但其物理意义始终缺乏明确解释;相比于脉冲响应函数,基于相关函数的辨识缺少了模态参与因子或者说质量信息,这也是工况模态分析(OMA)方法的主要缺陷。简要回顾了复模态下的自然激励技术原理,证明了白噪声激励下位移响应的相关函数等价于系统在特定初始条件下的自由响应,给出相应初始条件的计算方法;进一步提出了一种系统质量分布的辨识方法,并藉此重构得到系统脉冲响应函数。讨论了相关函数误差与信号时长及激励带宽之间的关系。通过仿真和试验验证了所得结论。 相似文献
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Danila A. Prikazchikov 《International Journal of Engineering Science》2003,41(2):149-171
The effect of pre-stress on the propagation of small amplitude waves in an incompressible, transversely isotropic elastic solid is discussed in respect of the most general appropriate strain energy function. A simple set of sufficient conditions is noted which ensures that two real wave speeds exist for all directions of propagation. In the case of bi-axial primary deformations, and for propagation within each principal plane of the homogeneous primary deformation, the propagation condition is factorised and conditions which are both necessary and sufficient to ensure the existence of two real wave speeds are established. The paper also includes some graphical illustrations of the associated slowness and wave surfaces and discussion of the strongly anisotropic case, for which the extensional modulus along the preferred fibre direction is much larger than other material parameters. 相似文献
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A new fracture criterion able to predict crack onset and propagation at interfaces between solids is formulated, implemented in a computational code and applied to a particular problem in composites on a microscale. More specifically, this criterion is used to study the debond onset and propagation in mixed mode in the case of a single fibre subjected to a biaxial remote loading. The fracture criterion formulation is based on the Linear Elastic-(Perfectly) Brittle Interface Model (LEBIM) combined with a Finite Fracture Mechanics (FFM) approach, where the stress and energy criteria are suitably coupled. Each of these criteria is a necessary but not sufficient condition for crack onset and propagation. Two empirical mixed-mode fracture criteria are considered and tested: the interface fracture toughness law by Hutchinson and Suo and the quadratic stress criterion. The FFM + LEBIM approach developed offers an adequate characterization of the interface stiffness in contrast to the too restrictive, original LEBIM formulation. 相似文献
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定义了布尔函数的类差分和类差分平衡函数,研究了类差分平衡函数的密码学性质以及构造方法。作为类差分平衡函数的应用, 给出了Z24上逻辑函数是完全非线性函数的充要条件,并在首先分析得到所有四元类差分平衡函数的基础上,编程搜索出Z24上所有的完全非线性函数。 相似文献
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E.W. Billington 《Engineering Fracture Mechanics》1984,19(5):777-792
This paper is concerned with the lengthening of a solid rod or tubular specimen along the principal axis about which it is being twisted, this aspect of the elastic-plastic deformation of a material being referred to as the Poynting-Swift effect. The Swift effect is the counterpart in the plastic range of deformation to the Poynting effect in the elastic range of deformation. Central to any study of the Swift effect is the problem of identifying an appropriate yield criterion. A generalised isotropic yield criterion is formulated in such a way that it can be applied to materials which satisfy the von Mises yield criterion, or some modified, but continuously difierentiable form of it, and to materials which satisfy a piece-wise continuous yield condition such as the Tresca yield criterion. The choice of the constitutive equation describing the purely elastic deformation behaviour determines the initial yield function. In this context, the constitutive equation of a simple elastic material is only compatible with von Mises yield criterion, a conclusion which applies also to classical infinitesimal theory. An attempt is made to generalise the constitutive equation of a simple elastic material to give a constitutive equation which is compatible with the proposed generalised isotropic yield criterion. This approach introduces an additional term into the constitutive equation which is quadratic in the stress. The two loading coefficients associated with the stress loading function are assumed to be deriveable from the generalised isotropic yield criterion which is now assumed to hold over the entire range of deformation, and in this context is referred to as the stress intensity function. It is a matter of observation that the proposed constitutive equation describes the total, post-yield, elastic-plastic response to simple loading. Consideration is given to the application of the Poynting-Swift effect to the failure of ductile materials using the proposed constitutive equation. 相似文献
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This paper deals with two questions concerning permutation polynomials in several variables. Lidl and Niederreiter have considered the problem of when a sum of permutation polynomials in disjoint sets of variables is itself a permutation polynomial, and in the case of prime fields have shown that it is necessary and sufficient that at least one summand be a permutation polynomial. They also showed that in the case of non-prime fields this condition is not necessary. In this paper, a necessary and sufficient condition is obtained for the general case which specialises to the previous result for prime fields. The second part extends a criterion of Niederreiter for permutation polynomials over prime fields to any finite field. 相似文献