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A true random bit generator based on a memristive chaotic circuit: Analysis, design and FPGA implementation

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  • Karakaya, Barış
  • Gülten, Arif
  • Frasca, Mattia

Abstract

The aim of this paper is to present a true random bit generator (TRBG) based on a memristive chaotic circuit and its implementation on Field Programmable Gate Array (FPGA) board. The proposed TRBG architecture makes use of a memristive canonical Chua's oscillator and a logistic map as entropy sources, while the XOR function is used for post-processing. The optimal parameter set for the chaotic systems has been chosen by carrying out numerical simulations of the system and adopting the scale index parameter to determine the degree of non-periodicity of the obtained bit streams. The proposed TRBG system has been then modeled and co-simulated on the Xilinx System Generator (XSG) platform and implemented on the Xilinx Kintex-7 KC705 FPGA Evaluation Board, obtaining experimental results in agreement with the expectations. Finally, the system has been validated with statistical analysis by using the NIST 800.22 statistical test suite.

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  • Karakaya, Barış & Gülten, Arif & Frasca, Mattia, 2019. "A true random bit generator based on a memristive chaotic circuit: Analysis, design and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 143-149.
    • Handle: RePEc:eee:chsofr:v:119:y:2019:i:c:p:143-149
    DOI: 10.1016/j.chaos.2018.12.021
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    References listed on IDEAS

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    1. Hu, Yue & Liao, Xiaofeng & Wong, Kwok-wo & Zhou, Qing, 2009. "A true random number generator based on mouse movement and chaotic cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2286-2293.
    2. Çavuşoğlu, Ünal & Kaçar, Sezgin & Pehlivan, Ihsan & Zengin, Ahmet, 2017. "Secure image encryption algorithm design using a novel chaos based S-Box," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 92-101.
    3. Zhao, Liang & Liao, Xiaofeng & Xiao, Di & Xiang, Tao & Zhou, Qing & Duan, Shukai, 2009. "True random number generation from mobile telephone photo based on chaotic cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1692-1699.
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    Cited by:

    1. Soliman, Nancy S. & Tolba, Mohammed F. & Said, Lobna A. & Madian, Ahmed H. & Radwan, Ahmed G., 2019. "Fractional X-shape controllable multi-scroll attractor with parameter effect and FPGA automatic design tool software," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 292-307.
    2. Balamurali Ramakrishnan & Victor Kamdoum Tamba & Hayder Natiq & Alex Stephane Kemnang Tsafack & Anitha Karthikeyan, 2022. "Dynamical analysis of autonomous Josephson junction jerk oscillator with cosine interference term embedded in FPGA and investigation of its collective behavior in a network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-12, September.
    3. Kuate, Paul Didier Kamdem & Tchendjeu, Achille Ecladore Tchahou & Fotsin, Hilaire, 2020. "A modified Rössler prototype-4 system based on Chua’s diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Yang, Zhen & Liu, Yinzhe & Wu, Yuqi & Qi, Yunliang & Ren, Fengyuan & Li, Shouliang, 2023. "A high speed pseudo-random bit generator driven by 2D-discrete hyperchaos," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. Muhamad Deni Johansyah & Asep Kuswandi Supriatna & Endang Rusyaman & Jumadil Saputra, 2022. "The Existence and Uniqueness of Riccati Fractional Differential Equation Solution and Its Approximation Applied to an Economic Growth Model," Mathematics, MDPI, vol. 10(17), pages 1-21, August.

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