Institute of Information Theory and Automation

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Journal Article

Hyperchaotic encryption based on multi-scroll piecewise linear Systems

García-Martínez M., Ontanon-García L.J., Campos-Cantón E., Čelikovský Sergej

: Applied Mathematics and Computation vol.270, 1 (2015), p. 413-424

: GA13-20433S, GA ČR

: Hyperchaotic encryption, Piecewise linear systems, Stream cipher, Pseudo-random bit generator, Chaos theory, Multi-scrollattractors

: 10.1016/j.amc.2015.08.037

: http://library.utia.cas.cz/separaty/2015/TR/celikovsky-0446895.pdf

(eng): A hyperchaotic multi-scroll piece wise linear system in R^4 is binarized to generate a pseudo-random sequence which encrypt a grayscale image via symmetric-key algorithm. The sequence is analyzed throughout statistical tests according to the National Institute of Standards and Technology (NIST)specifications. The scrolls of the system are the result of a switching law that changes between the saddle hyperbolic equilibria of piece wise linear systems with eigenvalues as follows: two negative real and one pair of complex conjugate eigenvalue swith positive realpart.Thus, the encryption quality is evaluated depending on the variation of the number of scrolls.

: BC

2019-01-07 08:39