Security Analysis of a Random Number Generator Based on a Ten-Term Chaotic System for Multimedia Applications

Authors : Celal Erbay

Pages : 1098-1111

Doi:10.29130/dubited.1631332

View : 59 | Download : 68

Publication Date : 2025-07-31

Article Type : Research Paper

Abstract :Ensuring the security of multimedia data has become increasingly critical with the rapid expansion of digital applications. This study presents a security analysis of a chaotic system-based random number generator (RNG) designed for high-security multimedia encryption. The analyzed RNG is based on a ten-term chaotic system without equilibrium points and generates random bit sequences using the Runge-Kutta 4 algorithm. Although chaotic systems exhibit inherent unpredictability, the findings reveal significant security vulnerabilities. By employing the master-slave synchronization approach, the generated bit sequences exhibit deterministic behavior under specific conditions, making them susceptible to cryptanalytic attacks. The ability to predict both the next bit and the entire output stream undermines the RNG’s suitability for cryptographic applications such as image encryption and sound steganography. Simulation and numerical results confirm that attackers with partial knowledge of the system can reconstruct the RNG’s output. This study highlights the necessity of developing more robust chaotic RNGs with enhanced resistance to synchronization attacks, incorporating hybrid models and additional entropy sources to improve cryptographic security in multimedia applications.
Keywords : Güvenlik Analizi, Kaotik Sistemler, rastgele sayı üreteçleri

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