Statistical properties of chaotic binary sequences

2008/05/28 by Bogdan Cristea, Cristea, Bogdan
Computer Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cellular Automata and Applications #Chaos-based Image/Signal Encryption #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences

paper · pdf · doi:10.48550/arxiv.0805.4405

openalex publication_date 2008/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Mean value and cross-covariance function of chaotic binary sequences are evaluated for chaotic maps with specific properties. We also take into account the effect of fixed- and floating-point representations on statistical properties of chaotic generators. Thus, one is able to obtain possible candidates for pseudo-random binary sequences generation. Results of statistical tests applied to chaotic binary sequences are presented. The chaotic binary sequences thus obtained could be used for security improvement in IEEE 802.11 standard.

Citations

• ON THE DYNAMICAL DEGRADATION OF DIGITAL PIECEWISE LINEAR CHAOTIC MAPS

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