A Two-Parameter Modified Logistic Map and Its Application to Random Bit Generation

This work proposes a modified logistic map based on the system previously proposed by Han in 2019. The constructed map exhibits interesting chaos related phenomena like antimonotonicity, crisis, and coexisting attractors. In addition, the Lyapunov exponent of the map can achieve higher values, so th...

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Bibliographic Details
Published in:Symmetry (Basel) 2020-05, Vol.12 (5), p.829
Main Authors: Moysis, Lazaros, Tutueva, Aleksandra, Volos, Christos, Butusov, Denis, Munoz-Pacheco, Jesus M., Nistazakis, Hector
Format: Article
Language:English
Subjects:
Algorithms
Applied research
chaos
Chaos theory
chaos-based cryptography
Cryptography
Liapunov exponents
logistic map
Methods
Parameter modification
random bit generation
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Summary:This work proposes a modified logistic map based on the system previously proposed by Han in 2019. The constructed map exhibits interesting chaos related phenomena like antimonotonicity, crisis, and coexisting attractors. In addition, the Lyapunov exponent of the map can achieve higher values, so the behavior of the proposed map is overall more complex compared to the original. The map is then successfully applied to the problem of random bit generation using techniques like the comparison between maps, X O R , and bit reversal. The proposed algorithm passes all the NIST tests, shows good correlation characteristics, and has a high key space.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12050829