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Robust cryptosystem using a new hyperchaotic oscillator with stricking dynamic properties

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Abstract

This paper presents a digital image cryptosystem utilizing a novel dynamic system with very interesting features. The oscillator is designed by introducing a feedback control law to the third line of the Lorenz oscillator with exponential nonlinearity. This exponential nonlinearity is replaced with hyperbolic sine nonlinearity to induce more complexity in the oscillator. Using some well-known computation analysis tools like Lyapunov spectrum, bifurcation analysis, and phase portraits representations, the dynamic analysis indicates that the oscillator can show chaos or hyperchaos for the same parameter space. In addition, the oscillator is equilibrium free, consequently its attractors are classified as hidden. Finally, the sequences of the oscillator are utilized to design a robust encryption scheme. Our method relies on a discrete orthogonal moment, confusion and diffusion stages. The input image is represented in the transform domain using Hahn orthogonal moments. Chaotic sequences are used to confuse and diffuse the obtaind image. Various security techniques have been used with success to show that our encryption process is powerful to resist malicious attacks.

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Acknowledgements

TSAFACK Nestor is grateful to Prof. KENGNE Jacques for his inestimable broad knowledge, common sense, and ability to analyze intricate problems crucial to the success of this research work.

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Authors and Affiliations

  1. Department of Physics, University of Ngaoundéré, P.O. Box 454, Ngaoundere, Cameroon

    Franklin Djimasra & Joseph Yves Effa

  2. Department of Electrical Engineering and Industrial Computing, University Institute of Technology, P.O. Box 8698, Douala, Cameroon

    Jean De Dieu Nkapkop

  3. Research Unit of Laboratory of Condensed Matter, Electronics and Signal Processing (URMACETS) Department of Physics, Faculty of Sciences, University of Dschang, P.O. Box 67, Dschang, Cameroon

    Nestor Tsafack

  4. Research Unit of Laboratory of Automation and Applied Computer (LAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon

    Jacques Kengne

  5. Department of Electronics, University of MSB, Jijel, Algeria

    Abdelkrim Boukabou

  6. Department of Electrical Engineering, Energetics and Automatics, University of Ngaoundéré, Ngaoundéré, Cameroon

    Laurent Bitjoka

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  1. Franklin Djimasra
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  3. Nestor Tsafack
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Correspondence to Nestor Tsafack.

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Djimasra, F., Nkapkop, J.D.D., Tsafack, N. et al. Robust cryptosystem using a new hyperchaotic oscillator with stricking dynamic properties. Multimed Tools Appl 80, 25121–25137 (2021). https://doi.org/10.1007/s11042-021-10734-1

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  • DOI: https://doi.org/10.1007/s11042-021-10734-1

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