Hyperchaotic encryption based on multi-scroll piecewise linear systems

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• 作者：M. Garcí ; a-Martí ; nez ; ^a ; ^d ; ^{moises.garcia@ipicyt.edu.mx" class="auth_mail" title="E-mail the corresponding author} ; L.J. Ontañ ; ó ; n-Garcí ; a^b ; ^{luisjavier.ontanon@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; E. Campos-Cantó ; n^a ; ^{eric.campos@ipicyt.edu.mx" class="auth_mail" title="E-mail the corresponding author} ; S. Čelikovský ; ^c ; ^{celikovs@utia.cas.cz" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hyperchaotic encryption ; Piecewise linear systems ; Stream cipher ; Pseudo-random bit generator ; Chaos theory ; Multi-scroll attractors
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：1 November 2015
• 年：2015
• 卷：270
• 期：Complete
• 页码：413-424
• 全文大小：3475 K

文摘

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.