IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v270y2015icp413-424.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315010929
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.08.037?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bowen Zhang & Lingfeng Liu, 2023. "Chaos-Based Image Encryption: Review, Application, and Challenges," Mathematics, MDPI, vol. 11(11), pages 1-39, June.
    2. 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.
    3. Yuan, Manman & Luo, Xiong & Mao, Xue & Han, Zhen & Sun, Lei & Zhu, Peican, 2022. "Event-triggered hybrid impulsive control on lag synchronization of delayed memristor-based bidirectional associative memory neural networks for image hiding," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    4. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    5. García-Guerrero, E.E. & Inzunza-González, E. & López-Bonilla, O.R. & Cárdenas-Valdez, J.R. & Tlelo-Cuautle, E., 2020. "Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    6. Wenqiang Yang & Li Xiao & Junjian Huang & Jinyue Yang, 2021. "Fixed-Time Synchronization of Neural Networks Based on Quantized Intermittent Control for Image Protection," Mathematics, MDPI, vol. 9(23), pages 1-14, November.
    7. Wong, Kwok-Wo & Kwok, Bernie Sin-Hung & Yuen, Ching-Hung, 2009. "An efficient diffusion approach for chaos-based image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2652-2663.
    8. Zhang, Ying-Qian & Wang, Xing-Yuan, 2014. "Spatiotemporal chaos in mixed linear–nonlinear coupled logistic map lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 104-118.
    9. Rhouma, Rhouma & Meherzi, Soumaya & Belghith, Safya, 2009. "OCML-based colour image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 309-318.
    10. Ben Moews, 2023. "On random number generators and practical market efficiency," Papers 2305.17419, arXiv.org, revised Jul 2023.
    11. Trujillo-Toledo, D.A. & López-Bonilla, O.R. & García-Guerrero, E.E. & Tlelo-Cuautle, E. & López-Mancilla, D. & Guillén-Fernández, O. & Inzunza-González, E., 2021. "Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    12. Othman Abdullah Almatroud & Viet-Thanh Pham, 2023. "Building Fixed Point-Free Maps with Memristor," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    13. Lu, Guangqing & Smidtaite, Rasa & Navickas, Zenonas & Ragulskis, Minvydas, 2018. "The Effect of Explosive Divergence in a Coupled Map Lattice of Matrices," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 308-313.
    14. Nada E. El-Meligy & Tamer O. Diab & Ashraf S. Mohra & Ashraf Y. Hassan & Wageda I. El-Sobky, 2022. "A Novel Dynamic Mathematical Model Applied in Hash Function Based on DNA Algorithm and Chaotic Maps," Mathematics, MDPI, vol. 10(8), pages 1-21, April.
    15. Wang, Xingyuan & Yang, Jingjing & Guan, Nana, 2021. "High-sensitivity image encryption algorithm with random cross diffusion based on dynamically random coupled map lattice model," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    16. Xiao, Di & Liao, Xiaofeng & Wei, Pengcheng, 2009. "Analysis and improvement of a chaos-based image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2191-2199.
    17. Lian, Shiguo, 2009. "Efficient image or video encryption based on spatiotemporal chaos system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2509-2519.
    18. Tutueva, Aleksandra V. & Nepomuceno, Erivelton G. & Karimov, Artur I. & Andreev, Valery S. & Butusov, Denis N., 2020. "Adaptive chaotic maps and their application to pseudo-random numbers generation," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    19. Zheng, Jun & Hu, Hanping, 2022. "Bit cyclic shift method to reinforce digital chaotic maps and its application in pseudorandom number generator," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    20. Wang, Mingxu & Wang, Xingyuan & Wang, Chunpeng & Xia, Zhiqiu & Zhao, Hongyu & Gao, Suo & Zhou, Shuang & Yao, Nianmin, 2020. "Spatiotemporal chaos in cross coupled map lattice with dynamic coupling coefficient and its application in bit-level color image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:413-424. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.