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Hyperchaotic encryption based on multi-scroll piecewise linear systems
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DOI：10.1016/j.amc.2015.08.037.png)
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Abstract
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A hyperchaotic multi-scroll piecewise 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 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. (C) 2015 Elsevier Inc. All rights reserved.
Keywords:
Hyperchaotic encryption
Piecewise linear systems
Stream cipher
Pseudo-random bit generator
Chaos theory
Multi-scroll attractors
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