Abstract
Binary sequences generated by a class of linear cellular automata (the so-called multiplicative polynomial cellular automata) can be written as solutions of linear difference equations. At the same time, such solutions equal the output sequences of well known LFSR-based keystream generators. Cryptographic properties of the sequences generated by multiplicative polynomial cellular automata have been analyzed. In addition, an algorithm to model nonlinear LFSR-based generators in terms of these linear automata has been developed.
Work supported by Ministerio de Educación y Ciencia (Spain) Projects SEG2004-02418 and SEG2004-04352-C04-03.
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Fúster-Sabater, A., Caballero-Gil, P., Pazo-Robles, M.E. (2007). Application of Linear Hybrid Cellular Automata to Stream Ciphers. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_71
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DOI: https://doi.org/10.1007/978-3-540-75867-9_71
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