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A secret sharing scheme based on cellular automata
Authors:A Martín del Rey  J Pereira Mateus  G Rodríguez Snchez
Institution:

aDepartment of Applied Mathematics, University of Salamanca C/Santo Tomás s/n 05003 Ávila, Spain

bDepartment of Mathematics, Technical Institute of Guarda, 6300 Guarda, Portugal

cDepartment of Applied Mathematics, University of Salamanca Avda. Requejo 33, 49022 Zamora, Spain

Abstract:A new secret sharing scheme based on a particular type of discrete delay dynamical systems: memory cellular automata, is proposed. Specifically, such scheme consists of a (kn)-threshold scheme where the text to be shared is considered as one of the k initial conditions of the memory cellular automata and the n shares to be distributed are n consecutive configurations of the evolution of such cellular automata. It is also proved to be perfect and ideal.
Keywords:Cellular automata  Cryptography  Discrete dynamical systems  Secret sharing  Threshold scheme
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