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Design of pseudo-random number generator from turbulence padded chaotic map

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Abstract

Transmission of the information in any form requires security. Security protocols used for communication rely on the use of random numbers. Pseudo-random numbers are required with good statistical properties and efficiency. The use of a single chaotic map may not produce enough randomness. The turbulence is padded into the existing map to improve its chaotic behaviour and increase the periodicity. A Pseudo-random number generator (PRNG) with this architecture is devised to generate random bit sequences from secret keys. The statistical properties of newly constructed PRNG are tested with NIST SP 800–22 statistical test suite and were shown to have good randomness. To ensure its usability in cryptographic applications, we analysed the size of its key space, key sensitivity, and performance speed. The test results show that the newly designed PRNG has a 3.6% increase in key space and a 5% increase in its performance speed compared to existing chaotic PRNGs. The novel PRNG with faster performance is found suitable for lightweight cryptographic applications.

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Funding

This research work has received no funding from any source.

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Authors and Affiliations

  1. Kongu Engineering College, Erode, India

    Sathya Krishnamoorthi, Premalatha Jayapaul & Vani Rajasekar

  2. School of Computing Science and Engineering, Galgotias University, Greater Noida, Uttar Pradesh, India

    Rajesh Kumar Dhanaraj & Balamurugan Balusamy

  3. Department of Computer Science and Engineering, Indian Institute of Information Technology, Kalyani, West Bengal, 741235, India

    SK Hafizul Islam

Authors
  1. Sathya Krishnamoorthi
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  2. Premalatha Jayapaul
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  3. Rajesh Kumar Dhanaraj
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  4. Vani Rajasekar
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  5. Balamurugan Balusamy
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  6. SK Hafizul Islam
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Correspondence to Sathya Krishnamoorthi or SK Hafizul Islam.

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Krishnamoorthi, S., Jayapaul, P., Dhanaraj, R.K. et al. Design of pseudo-random number generator from turbulence padded chaotic map. Nonlinear Dyn 104, 1627–1643 (2021). https://doi.org/10.1007/s11071-021-06346-x

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  • DOI: https://doi.org/10.1007/s11071-021-06346-x

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