Statistical properties of chaotic binary sequences

TL;DR

This paper analyzes the statistical properties of chaotic binary sequences, considering implementation effects, and evaluates their suitability for pseudo-random generation and security applications in wireless standards.

Contribution

It provides a detailed evaluation of chaotic binary sequences' statistical properties, including the impact of numerical representations, and assesses their potential for secure pseudo-random generation.

Findings

Chaotic binary sequences exhibit specific mean and covariance properties.

Floating-point representations influence the statistical behavior of chaotic sequences.

Sequences pass certain statistical tests indicating their suitability for security applications.

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.