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arXiv · 1005.2280

Modelling Nonlinear Sequence Generators in terms of Linear Cellular Automata

Amparo Fúster-Sabater·Dolores de la Guía-Martínez
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Abstract

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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Amparo Fúster-Sabater, Dolores de la Guía-Martínez. 2010-05-13. Modelling Nonlinear Sequence Generators in terms of Linear Cellular Automata. https://doi.org/10.1016/j.apm.2005.08.013

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