True Random Number Generator Design with A Fractional Order Sprott B Chaotic System

The growing prevalence of digital communication and interconnected devices has amplified the need for robust data security measures. True random number generators (TRNG) play a pivotal role in protecting information by generating unpredictable and irreproducible sequences required for encryption, secure authentication, and cryptographic key generation. This research presents a TRNG model based on the fractional-order Sprott B chaotic system. The chaotic properties of the system were confirmed through Lyapunov exponent calculations, bifurcation diagrams, and phase space analyses. The fractional-order dynamics enhance the complexity and unpredictability of the generated entropy source, making it suitable for secure applications. The performance of the generated random numbers was assessed using the NIST 800-22 statistical test suite, successfully passing all tests and meeting the randomness requirements. This study introduces a unique approach by leveraging the fractional-order Sprott B chaotic system for TRNG design, demonstrating its effectiveness in cryptographic systems and secure communication frameworks.