Hyperchaotic encryption based on multi-scroll piecewise linear systems

M. García-Martínez, L.J. Ontañón-García, E. Campos-Cantón and S. Čelikovský

Applied Mathematics and Computation, 2015, vol. 270, issue C, 413-424

Abstract: A hyperchaotic multi-scroll piecewise linear system in R4 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 piecewise linear systems with eigenvalues as follows: two negative real and one pair of complex conjugate eigenvalues with positive real part. Thus, the encryption quality is evaluated depending on the variation of the number of scrolls.

Keywords: Hyperchaotic encryption; Piecewise linear systems; Stream cipher; Pseudo-random bit generator; Chaos theory; Multi-scroll attractors (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:413-424

DOI: 10.1016/j.amc.2015.08.037

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