共查询到18条相似文献,搜索用时 178 毫秒
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关于对称平衡布尔函数的几点注记 总被引:1,自引:0,他引:1
杨义先 《信息安全与通信保密》1992,(1)
在此注记中我们改进了对称平衡布尔函数的计数下界公式,给出了一些构造对称平衡布尔函数的具体方法,揭示了对称平衡布尔函数与某些丢番图方程之间的关系。 相似文献
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证明了代数次数为 的偶变元平衡旋转对称布尔函数不存在非零线性结构这个公开问题,给出了代数次数为 的奇变元旋转对称布尔函数不存在非零线性结构这个公开问题成立的充分条件和不成立的必要条件。 相似文献
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布尔函数扩散性的矩阵刻画 总被引:1,自引:0,他引:1
该文利用布尔函数的特征矩阵, 给出了n(3) 元布尔函数在sGFn(2) 满足扩散准则的充分必要条件, 在此基础上得到了布尔函数满足严格雪崩准则(SAC)的一个充分必要条件和n元平衡布尔函数满足严格雪崩准则、代数次数达到最大且不含有非零线性结构的一个充分必要条件, 最后提出了平衡且满足严格雪崩准则的布尔函数的两种特殊的递补构造法。 相似文献
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该文首先给出了一种新的求布尔函数代数次数d的零化子的算法,并且利用布尔函数的特征矩阵得到了低次零化子存在性的判别条件。其次,该文通过研究(5,1,3,12)旋转对称饱和最优函数的代数免疫和一类构造函数的代数免疫,证明了一类函数为代数攻击不变量,并对此性质作了进一步推广。 相似文献
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本文首先研究了Bent函数特征矩阵的性质,并给出了Bent函数的一个等价判别条件。从而引出了Bent函数的一种新的构造方法:由一个已知的n(n≥2)元Bent函数的特征矩阵来构造n+2元Bent函数的特征矩阵。为Bent函数的构造和计数提供了一种新思路. 相似文献
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Construction and count of multi-output rotation symmetric resilient functions with 8 input variables
The value ranges of the number of output variables were determined respectively under the existence of multi-output rotation symmetric balanced functions and resilient functions with 2rinput variables.Based on the equivalence between the resilient functions and large sets of orthogonal arrays,some results on the construction and count of multi-output rotation symmetric balanced functions with 8 input variables were presented according to the different dimensions of output vectors,and construction and count of multi-output rotation symmetric 1-resilient functions with 8 input variables were also studied.Besides,constructions of multi-output rotation symmetric resilient functions are transformed into the problem of solving a system of equations. 相似文献
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《电子学报:英文版》2017,(6):1276-1283
This paper studies the properties of orbit matrix and gives a formula to compute the number of these orbit matrices on 4p variables, where p is an odd prime. It has been demonstrated that the construction of 1-resilient Rotation symmetric Boolean functions (RSBFs) on 4p variables is equivalent to solving an equation system. By the proposed method, all 1-resilient RSBFs on 12 variables can be constructed. We present a counting formula for the total number of all 1-resilient RSBFs on 4p variables. As application of our method, some 1-resilient RSBFs on 12 variables are presented. 相似文献
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Cyclotomy and duadic codes of prime lengths 总被引:2,自引:0,他引:2
Cunsheng Ding Pless V. 《IEEE transactions on information theory / Professional Technical Group on Information Theory》1999,45(2):453-466
We present a cyclotomic approach to the construction of all binary duadic codes of prime lengths. We calculate the number of all binary duadic codes for a given prime length and that of all duadic codes that are not quadratic residue codes. We give necessary and sufficient conditions for p such that all binary duadic codes of length p are quadratic residue (QR) codes. We also show how to determine some weights of duadic codes with the help of cyclotomic numbers 相似文献
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关于旋转对称布尔函数线性结构的几点注记 总被引:1,自引:0,他引:1
该文研究了旋转对称布尔函数(RSBF)的线性结构特征,讨论了RSBF的代数次数与线性结构点之间的关系。证明了代数次数为n-1且平衡的偶数元RSBF不存在非全0的线性结构点这个公开问题。给出了自共轭轨道的计数公式,并以此计算了以全1向量为其线性结构点的RSBF的个数。 相似文献
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Public key distribution in matrix rings 总被引:3,自引:0,他引:3
An extension of the Diffie-Hellman public key distribution system to matrix rings is described. Using rings of non-singular matrices over Z/pZ and upper triangular matrices with invertible elements along the diagonal over Z/pZ, it is shown that the number of possible secret keys is much greater for a given prime p compared to the original system. An outline of a method to construct the base matrix used in the system is given. 相似文献