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Hyperchaotic encryption based on multi-scroll piecewise linear systems

Author

Listed:
  • García-Martínez, M.
  • Ontañón-García, L.J.
  • Campos-Cantón, E.
  • Čelikovský, S.

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.

Suggested Citation

  • García-Martínez, M. & Ontañón-García, L.J. & Campos-Cantón, E. & Čelikovský, S., 2015. "Hyperchaotic encryption based on multi-scroll piecewise linear systems," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 413-424.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:413-424
    DOI: 10.1016/j.amc.2015.08.037
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    References listed on IDEAS

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    1. Mazloom, Sahar & Eftekhari-Moghadam, Amir Masud, 2009. "Color image encryption based on Coupled Nonlinear Chaotic Map," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1745-1754.
    2. Kwok, H.S. & Tang, Wallace K.S., 2007. "A fast image encryption system based on chaotic maps with finite precision representation," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1518-1529.
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    Cited by:

    1. Anzo-Hernández, A. & García-Martínez, M. & Campos-Cantón, E. & Ontañón-García, L.J., 2019. "Electronic implementation of a dynamical network with nearly identical hybrid nodes via unstable dissipative systems," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 272-282.
    2. Kamal, F.M. & Elsonbaty, A. & Elsaid, A., 2021. "A novel fractional nonautonomous chaotic circuit model and its application to image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. Jafari, Sajad & Dehghan, Soroush & Chen, Guanrong & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2018. "Twin birds inside and outside the cage," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 135-140.
    4. Singh, Jay Prakash & Roy, Binoy Krishna & Jafari, Sajad, 2018. "New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 243-257.
    5. Castañeda, Carlos E. & López-Mancilla, D. & Chiu, R. & Villafaña-Rauda, E. & Orozco-López, Onofre & Casillas-Rodríguez, F. & Sevilla-Escoboza, R., 2019. "Discrete-time neural synchronization between an Arduino microcontroller and a Compact Development System using multiscroll chaotic signals," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 269-275.
    6. Fang, He & Xu, Li & Choo, Kim-Kwang Raymond, 2017. "Stackelberg game based relay selection for physical layer security and energy efficiency enhancement in cognitive radio networks," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 153-167.

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