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Applying elliptic curve cryptography to a chaotic synchronisation system: neural-network-based approach

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  • Feng-Hsiag Hsiao

Abstract

In order to obtain double encryption via elliptic curve cryptography (ECC) and chaotic synchronisation, this study presents a design methodology for neural-network (NN)-based secure communications in multiple time-delay chaotic systems. ECC is an asymmetric encryption and its strength is based on the difficulty of solving the elliptic curve discrete logarithm problem which is a much harder problem than factoring integers. Because it is much harder, we can get away with fewer bits to provide the same level of security. To enhance the strength of the cryptosystem, we conduct double encryption that combines chaotic synchronisation with ECC. According to the improved genetic algorithm, a fuzzy controller is synthesised to realise the exponential synchronisation and achieves optimal H∞ performance by minimising the disturbances attenuation level. Finally, a numerical example with simulations is given to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Feng-Hsiag Hsiao, 2017. "Applying elliptic curve cryptography to a chaotic synchronisation system: neural-network-based approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 3044-3059, October.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3044-3059
    DOI: 10.1080/00207721.2017.1364446
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    Cited by:

    1. Jiang, Congshi & Chen, Quan, 2020. "Construction of blind restoration model for super-resolution image based on chaotic neural network," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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