Design and Test of Pseudorandom Number Generator Using a Star Network of Lorenz Oscillators Article Swipe

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Pseudorandom number generator Lorenz system Stream cipher Chaotic Pseudorandom generator theorem Generator (circuit theory) Binary number Computer science Pseudorandom generator Random number generation Random seed Algorithm Cryptography Pseudorandomness Star (game theory) Theoretical computer science Mathematics Arithmetic Artificial intelligence Physics Mathematical analysis Quantum mechanics Power (physics)

Kenichiro Cho , Takaya Miyano ·

YOU? · · 2017 · Open Access · · DOI: https://doi.org/10.1142/s021812741750184x · OA: W2779476765

We have recently developed a chaos-based stream cipher based on augmented Lorenz equations as a star network of Lorenz subsystems. In our method, the augmented Lorenz equations are used as a pseudorandom number generator. In this study, we propose a new method based on the augmented Lorenz equations for generating binary pseudorandom numbers and evaluate its security using the statistical tests of SP800-22 published by the National Institute for Standards and Technology in comparison with the performances of other chaotic dynamical models used as binary pseudorandom number generators. We further propose a faster version of the proposed method and evaluate its security using the statistical tests of TestU01 published by L’Ecuyer and Simard.