Reversible elementary cellular automaton with rule number 150 and periodic boundary conditions over𝔽p

A. Martín del Rey () and G. Rodríguez Sánchez ()
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A. Martín del Rey: Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain
G. Rodríguez Sánchez: Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, Salamanca, Spain

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 11, 1-11

Abstract: The study of the reversibility of elementary cellular automata with rule number 150 over the finite state set𝔽pand endowed with periodic boundary conditions is done. The dynamic of such discrete dynamical systems is characterized by means of characteristic circulant matrices, and their analysis allows us to state that the reversibility depends on the number of cells of the cellular space and to explicitly compute the corresponding inverse cellular automata.

Keywords: Elementary cellular automata; reversibility; periodic boundary conditions; circulant matrices; image encryption; 89.75.-k; 89.20.Ff (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S012918311550120X

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