非线性序列发生器的线性元胞自动机建模
Modelling Nonlinear Sequence Generators in terms of Linear Cellular Automata
摘要:
在这项工作中,一个广泛的家庭LFSR为基础的序列发生器,所谓的时钟控制收缩发生器(CCSG),已被分析和识别的一个子集的线性元胞自动机(CA)。事实上,可以推导出一对描述CCSG行为的线性模型。将给定的CCSG转换为基于CA的线性模型的算法非常简单,并且可以在实际感兴趣的范围内应用于CCSG。这些细胞模型的线性可以有利地以两种不同的方式使用:(a)用于CCSG的分析和/或密码分析,以及(b)用于从这种生成器获得的输出序列的重构。
英文摘要:
In this work, a wide family of LFSR-based sequence generators, the so-called Clock-Controlled Shrinking Generators (CCSGs), has been analyzed and identified with a subset of linear Cellular Automata (CA). In fact, a pair of linear models describing the behavior of the CCSGs can be derived. The algorithm that converts a given CCSG into a CA-based linear model is very simple and can be applied to CCSGs in a range of practical interest. The linearity of these cellular models can be advantageously used in two different ways: (a) for the analysis and/or cryptanalysis of the CCSGs and (b) for the reconstruction of the output sequence obtained from this kind of generators.
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