Pseudo-random bit generator based on multi-modal maps

In this work we present a pseudo-random Bit Generator via unidimensional multi-modal discrete dynamical systems called k -modal maps. These multi-modal maps are based on the logistic map and are useful to yield pseudo-random sequences with longer period, i.e., in order to attend the problem of perio...

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Bibliographic Details
Published in:Nonlinear dynamics 2015-12, Vol.82 (4), p.2119-2131
Main Authors: García-Martínez, M., Campos-Cantón, E.
Format: Article
Language:English
Subjects:
Algorithms
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Encryption
Engineering
Mechanical Engineering
Original Paper
Periodic variations
Pseudorandom sequences
Vibration
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Summary:In this work we present a pseudo-random Bit Generator via unidimensional multi-modal discrete dynamical systems called k -modal maps. These multi-modal maps are based on the logistic map and are useful to yield pseudo-random sequences with longer period, i.e., in order to attend the problem of periodicity. In addition the pseudo-random sequences generated via multi-modal maps are evaluated with the statistical suite of test from NIST and satisfactory results are obtained when they are used as key stream. Furthermore, we show the impact of using these sequences in a stream cipher resulting in a better encryption quality correlated with the number of modals of the chaotic map. Finally, a statistical security analysis applied to cipher images is given. The proposed algorithm to encrypt is able to resist the chosen-plaintext attack and differential attack because the same set of encryption keys generates a different cipher image every time it is used.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2303-y