Abstract
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.
Highlights
One-time pad cryptography as the most secure version of cryptosystems is a very safe symmetrickey cryptographic method [Shannon, 1949], wherein the secret key consists of a sequence of random numbers, the length of which is equal to that of the plaintext to be encrypted, and is supposed to be securely shared by a sender traditionally called Alice and receiver called Bob
We evaluate the security of the augmented Lorenz (AL) equations as a binary pseudorandom generator in comparison with those of the logistic map and a star network of Rossler oscillators
We have evaluated the randomness of the pseudorandom numbers generated from the AL equations in terms of the statistical tests of SP800-22 published by National Institute of Standards and Technology (NIST) in comparison with those of the augmented Rossler (AR) equations and the logistic map
Summary
One-time pad cryptography as the most secure version of cryptosystems is a very safe symmetrickey cryptographic method [Shannon, 1949], wherein the secret key consists of a sequence of random numbers, the length of which is equal to that of the plaintext to be encrypted, and is supposed to be securely shared by a sender traditionally called Alice and receiver called Bob. This weak point can be overcome by quantum key distribution (QKD), a newly emerging technology for secret-key distribution [Bennett & Brassard, 1984; Ekert, 1991; Gisin et al, 2002]
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