A Novel Random Number Generator and Its Application in Sound Encryption Based on a Fractional-Order Chaotic System

Random number generator design is one of the practical applications of nonlinear systems. This study used random number generation and sound encryption application with a fractional chaotic system. Random numbers were generated with the Langford chaotic system, and a sound encryption application was carried out for the secure transmission of voice messages. Randomization performance of numbers was evaluated by employing NIST-800-22 statistical tests, which meet the highest international requirements. It was observed that the distributions of these generated random numbers reached the desired level of randomness after the examination. Unlike the integer-order random number generators widely used in the literature, the fractional-order Langford chaotic system was employed to generate and analyze random numbers and demonstrate their utilization in sound encryption. Random numbers generated from a fractional degree-based chaotic system developed in this study can be used in cryptology, secret writing, stamping, statistical sampling, computer simulations, dynamic information compression and coding.