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Do There Exist Non-linear Maximal Length Cellular Automata? A Study

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Cellular Automata (ACRI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11115))

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Abstract

An n-cell maximal length cellular automaton (CA) is a binary CA which is having a cycle of length \(2^n-1\). These CAs are linear and have been used in different applications, such as pseudo random number generation, VLSI design & test, cryptosystem etc. For some applications, however, it could be good if we can use non-linear maximal length CAs. In this paper, we arrange an experiment for the search of non-linear maximal length CAs. By experimentation, we have seen that there exists non-linear maximal length CAs.

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Correspondence to Sumit Adak .

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Adak, S., Mukherjee, S., Das, S. (2018). Do There Exist Non-linear Maximal Length Cellular Automata? A Study. In: Mauri, G., El Yacoubi, S., Dennunzio, A., Nishinari, K., Manzoni, L. (eds) Cellular Automata. ACRI 2018. Lecture Notes in Computer Science(), vol 11115. Springer, Cham. https://doi.org/10.1007/978-3-319-99813-8_26

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  • DOI: https://doi.org/10.1007/978-3-319-99813-8_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99812-1

  • Online ISBN: 978-3-319-99813-8

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