An improvement of a cryptanalysis algorithm

Benamara, Oualid; Merazka, Fatiha; Betina, Kamel

doi:10.1016/j.ipl.2015.08.002

Cited by 1 publication

(1 citation statement)

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“…Chaotic maps have a wide-range application areas in many disciplines including engineering, cryptography, statistics, physics, biology, art and philosophy (El-Hameed et al (2021); Benamara et al (2016); Strogatz (2015); Ruelle (1997); Banerjee et al (2012)). Specifically, the need for highly secure cryptosystems is always increasing because the information technologies are continuously developing and reaching more and more people everyday in various platforms (e.g., e-banking, IoT, e-purchasing, etc.).…”

Section: Introductionmentioning

confidence: 99%

Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation

Ablay

2022

Chaos Theory and Applications

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Most of the chaotic maps are not suitable for chaos-based cryptosystems due to their narrow chaotic parameter range and lacking of strong unpredictability. This work presents a nonlinear transformation approach for Lyapunov exponent enhancement and robust chaotification in discrete-time chaotic systems for generating highly independent and uniformly distributed random chaotic sequences. The outcome of the new chaotic systems can directly be used in random number and random bit generators without any post-processing algorithms for various information technology applications. The proposed Lyapunov exponent enhancement based chaotic maps are analyzed with Lyapunov exponents, bifurcation diagrams, entropy, correlation and some other statistical tests. The results show that excellent random features can be accomplished even with one-dimensional chaotic maps with the proposed approach.

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Section: Introductionmentioning

confidence: 99%