A chaotic stream cipher based on symbolic dynamic description and synchronization

In the present paper, we propose a new chaos-based stream cipher, by exploiting the simplicity of symbolic dynamic description and synchronization. The main contribution of this work is the pseudo-random numbers generator, which is based on the discretization of chaotic sequences generated from one-...

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Bibliographic Details
Published in:Nonlinear dynamics 2014-10, Vol.78 (1), p.197-207
Main Authors: Abderrahim, N. W., Benmansour, F. Z., Seddiki, O.
Format: Article
Language:English
Subjects:
Algorithms
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Cryptography
Dynamical Systems
Dynamics
Encryption
Engineering
Generators
High resistance
Mechanical Engineering
Nonlinear dynamics
Original Paper
Perturbation
Pseudorandom sequences
Random numbers
Statistical tests
Streams
Synchronism
Synchronization
Vibration
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Summary:In the present paper, we propose a new chaos-based stream cipher, by exploiting the simplicity of symbolic dynamic description and synchronization. The main contribution of this work is the pseudo-random numbers generator, which is based on the discretization of chaotic sequences generated from one-dimensional chaotic maps, satisfying uniform distribution. The originality of our keystream generator lies in the appropriate mixture of chaotic maps dynamic behaviors and their perturbation, in order to enhance its complexity and the secret key space, which corresponds to the chaotic systems control parameters. Thus, the pseudo-random sequences produced from our keystream generator have adequate cryptographic properties in terms of randomness quality, where their validity is proved through NIST statistical tests. Furthermore, the application of our keystream generator in the proposed cryptosystem provides a satisfactory security efficiency report, by insuring a good encryption effect with high resistance to known attacks, and a robust synchronization to noise and malicious interceptions, achieved via the symbolic dynamic-based method.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-014-1432-z