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Open AccessArticle

Pseudorandom Number Generator (PRNG) Design Using Hyper-Chaotic Modified Robust Logistic Map (HC-MRLM)

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Department of Computer Engineering, University of Engineering and Technology, Taxila 47050, Pakistan
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Department of Computer Science, University of Wah, Wah Cantt 47040, Pakistan
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Department of Computer Sciences KICSIT, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, Pakistan
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Department of Research and Technology Simbal Tech, Sommerburg str. 157, 45149 Essen, Germany
*
Authors to whom correspondence should be addressed.
Electronics 2020, 9(1), 104; https://doi.org/10.3390/electronics9010104
Received: 1 November 2019 / Revised: 26 December 2019 / Accepted: 1 January 2020 / Published: 6 January 2020
(This article belongs to the Section Bioelectronics)
Robust chaotic systems, due to their inherent properties of mixing, ergodicity, and larger chaotic parameter space, constitute a perfect candidate for cryptography. This paper reports a novel method to generate random numbers using modified robust logistic map (MRLM). The non-smooth probability distribution function of robust logistic map (RLM) trajectories gives an un-even binary distribution in randomness test. To overcome this disadvantage in RLM, control of chaos (CoC) is proposed for smooth probability distribution function of RLM. For testing the proposed design, cryptographic random numbers generated by MRLM were vetted with National Institute of Standards and Technology statistical test suite (NIST 800-22). The results showed that proposed MRLM generates cryptographically secure random numbers (CSPRNG).
Keywords: chaotic logistic map; robust chaos; key scheduling; PRNG; lyapunov exponent chaotic logistic map; robust chaos; key scheduling; PRNG; lyapunov exponent
MDPI and ACS Style

Irfan, M.; Ali, A.; Khan, M.A.; Ehatisham-ul-Haq, M.; Mehmood Shah, S.N.; Saboor, A.; Ahmad, W. Pseudorandom Number Generator (PRNG) Design Using Hyper-Chaotic Modified Robust Logistic Map (HC-MRLM). Electronics 2020, 9, 104.

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