A New Pseudorandom Bits Generator Based on a 2D-Chaotic System and Diffusion Property

Omar Zeyad Akif, Sura Ali, Rasha Subhi Ali, Alaa Kadhim Farhan

Abstract


A remarkable correlation between chaotic systems and cryptography has been established with sensitivity to initial states, unpredictability, and complex behaviours. Owing to this close relationship, numerous chaos-based cryptographic systems have been developed during the past 30 years. In one development, stages of a chaotic stream cipher are applied to a discrete chaotic dynamic system for the generation of pseudorandom bits. Some of these generators are based on 1D chaotic maps and others on 2D ones. The former are not very effective and secure owing to the limited space available to the secret key. Consequently, the regions that exhibit chaotic behaviours are also limited, which is a significant disadvantage in the security field. Hence, in the current study, a new pseudorandom bit generator (PRBG) based on a new 2D chaotic logistic map is proposed that runs side-by-side and commences from random independent initial states. The structure of the proposed model consists of the three components of a mouse input device, the proposed2D chaotic system, and an initial permutation (IP) table. With this approach, the capacity for the generated key and the period is high. Statistical tests of the generated sequence of bits are investigated by applying five evaluations as well as the ACF, which is the strictest statistical test utilised for specifying pure random sequences.



DOI: https://doi.org/10.11591/eei.v10i3.2610

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