Hyperchaotic encryption based on multi-scroll piecewise linear systems Article

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Overview

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. © 2015 Elsevier Inc. All rights reserved.

authors

• Campos E.
• García-Martínez M.
• Ontañón García Pimentel Luis Javier
• Čelikovský S.

publication date

• 2015-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: 181002  Grant
• Grantová Agentura České Republiky, GA ČR: 13-20433S  Grant
• Universidad Autónoma de San Luis Potosí, UASLP: C15-FAI-04-80.80  Grant

published in

• Applied Mathematics and Computation  Journal

Research

keywords

• Chaos theory; Hyperchaotic encryption; Multi-scroll attractors; Piecewise linear systems; Pseudo-random bit generator; Stream cipher Chaos theory; Eigenvalues and eigenfunctions; Linear systems; Number theory; Piecewise linear techniques; Hyperchaotic; Multi-scroll attractors; Piece-wise linear systems; Pseudo random bit generators; Stream Ciphers; Cryptography

Identity

Digital Object Identifier (DOI)

• 10.1016/j.amc.2015.08.037

Additional Document Info

start page

• 413

end page

• 424

volume

• 270