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

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

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 dist...

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Bibliographic Details
Main Authors: Muhammad Irfan, Asim Ali, Muhammad Asif Khan, Muhammad Ehatisham-ul-Haq, Syed Nasir Mehmood Shah, Abdul Saboor, Waqar Ahmad
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Electronics
Subjects:
chaotic logistic map
robust chaos
key scheduling
prng
lyapunov exponent
Online Access:https://www.mdpi.com/2079-9292/9/1/104
Description
Summary: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).
ISSN:2079-9292

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