English

Modelling Nonlinear Sequence Generators in terms of Linear Cellular Automata

Cryptography and Security 2010-05-14 v1 Discrete Mathematics

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.

Keywords

Cite

@article{arxiv.1005.2280,
  title  = {Modelling Nonlinear Sequence Generators in terms of Linear Cellular Automata},
  author = {Amparo Fúster-Sabater and Dolores de la Guía-Martínez},
  journal= {arXiv preprint arXiv:1005.2280},
  year   = {2010}
}

Comments

15 pages, 0 figures

R2 v1 2026-06-21T15:22:23.249Z