A secret sharing scheme based on one-dimensional bipermutive cellular automata is discussed in this paper. The underlying idea is to represent the secret as a configuration of a bipermutive CA and to iteratively apply a preimage computation algorithm until a sufficiently long configuration to be splitted among the participants is obtained. The scheme is proved to be both perfect and ideal, and a simple extension is shown to induce a sequential access structure which eventually becomes cyclic, where the upper bound on the length of the cycles depends on the radius of the adopted local rule.

Mariot, L., Leporati, A. (2014). Sharing Secrets by Computing Preimages of Bipermutive Cellular Automata. In Cellular Automata (pp.417-426). Springer [10.1007/978-3-319-11520-7_43].

Sharing Secrets by Computing Preimages of Bipermutive Cellular Automata

MARIOT, LUCA
Primo
;
LEPORATI, ALBERTO OTTAVIO
Ultimo
2014

Abstract

A secret sharing scheme based on one-dimensional bipermutive cellular automata is discussed in this paper. The underlying idea is to represent the secret as a configuration of a bipermutive CA and to iteratively apply a preimage computation algorithm until a sufficiently long configuration to be splitted among the participants is obtained. The scheme is proved to be both perfect and ideal, and a simple extension is shown to induce a sequential access structure which eventually becomes cyclic, where the upper bound on the length of the cycles depends on the radius of the adopted local rule.
paper
Cellular automata, cryptography, secret sharing schemes, bipermutivity, preimage computation, cyclic access structure
English
Cellular Automata for Research and Industry ACRI September 22-25
2014
Wąs, J; Sirakoulis, G; Bandini, S
Cellular Automata
978-3-319-11519-1
2014
8751
417
426
none
Mariot, L., Leporati, A. (2014). Sharing Secrets by Computing Preimages of Bipermutive Cellular Automata. In Cellular Automata (pp.417-426). Springer [10.1007/978-3-319-11520-7_43].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/90027
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