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Intensive statistical complexity measure of pseudorandom number generators

Author

Listed:
  • Larrondo, H.A.
  • González, C.M.
  • Martín, M.T.
  • Plastino, A.
  • Rosso, O.A.

Abstract

A Statistical Complexity measure has been recently proposed to quantify the performance of chaotic Pseudorandom number generators (PRNG) (Physica A 354 (2005) 281). Here we revisit this quantifier and introduce two important improvements: (i) consideration of an intensive statistical complexity (Physica A 334 (2004) 119), and (ii) following the prescription of Brand and Pompe (Phys. Rev. Lett. 88 (2002) 174102-1) in evaluating the probability distribution associated with the PRNG. The ensuing new measure is applied to a very well-tested PRNG advanced by Marsaglia.

Suggested Citation

  • Larrondo, H.A. & González, C.M. & Martín, M.T. & Plastino, A. & Rosso, O.A., 2005. "Intensive statistical complexity measure of pseudorandom number generators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(1), pages 133-138.
    • Handle: RePEc:eee:phsmap:v:356:y:2005:i:1:p:133-138
    DOI: 10.1016/j.physa.2005.05.025
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    Cited by:

    1. Biamou, Arsene Loic Mbanda & Tamba, Victor Kamdoum & Tagne, François Kapche & Takougang, Armand Cyrille Nzeukou, 2024. "Fractional-order-induced symmetric multi-scroll chaotic attractors and double bubble bifurcations in a memristive coupled Hopfield neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Avaroğlu, Erdinç, 2020. "The implementation of ring oscillator based PUF designs in Field Programmable Gate Arrays using of different challenge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    3. De Micco, Luciana & Fernández, Juana Graciela & Larrondo, Hilda A. & Plastino, Angelo & Rosso, Osvaldo A., 2012. "Sampling period, statistical complexity, and chaotic attractors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2564-2575.
    4. Zunino, L. & Pérez, D.G. & Kowalski, A. & Martín, M.T. & Garavaglia, M. & Plastino, A. & Rosso, O.A., 2008. "Fractional Brownian motion, fractional Gaussian noise, and Tsallis permutation entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6057-6068.
    5. Wang, Mengjiao & Liao, Xiaohan & Deng, Yong & Li, Zhijun & Su, Yongxin & Zeng, Yicheng, 2020. "Dynamics, synchronization and circuit implementation of a simple fractional-order chaotic system with hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    6. Valle, João & Machicao, Jeaneth & Bruno, Odemir M., 2022. "Chaotical PRNG based on composition of logistic and tent maps using deep-zoom," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    7. Etem, Taha & Kaya, Turgay, 2020. "A novel True Random Bit Generator design for image encryption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    8. Zunino, Luciano & Zanin, Massimiliano & Tabak, Benjamin M. & Pérez, Darío G. & Rosso, Osvaldo A., 2009. "Forbidden patterns, permutation entropy and stock market inefficiency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2854-2864.
    9. Pastor, Marissa & Song, Juyong & Hoang, Danh-Tai & Jo, Junghyo, 2016. "Minimal perceptrons for memorizing complex patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 31-37.
    10. Wang, Shaojie & He, Shaobo & Yousefpour, Amin & Jahanshahi, Hadi & Repnik, Robert & Perc, Matjaž, 2020. "Chaos and complexity in a fractional-order financial system with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    11. Lijun Zhang & Caochuan Ma & Yuxiang Zhao & Wenbo Zhao, 2023. "A Novel Dynamic S-Box Generation Scheme Based on Quantum Random Walks Controlled by a Hyper-Chaotic Map," Mathematics, MDPI, vol. 12(1), pages 1-22, December.
    12. Eduarda T. C. Chagas & Marcelo Queiroz‐Oliveira & Osvaldo A. Rosso & Heitor S. Ramos & Cristopher G. S. Freitas & Alejandro C. Frery, 2022. "White Noise Test from Ordinal Patterns in the Entropy–Complexity Plane," International Statistical Review, International Statistical Institute, vol. 90(2), pages 374-396, August.

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