Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system

Abstract

The generation, implementation, and application of multi-scroll chaotic systems have been extensively studied due to their complex dynamic behaviors. This paper introduces a new controlled multi-double-scroll chaotic system and its corresponding implementation on a digital platform, the Field Programmable Gate Array (FPGA). The proposed system can generate 2N+1 and 2N+2 numbers of double-scroll attractors. In particular, the system has controllable multistability and multi-double-scroll complete amplitude control characteristics. The numerical analyses of Lyapunov exponents, bifurcation diagrams, phase diagrams, and basin of attraction show that the system exhibits complex dynamic behaviors. Furthermore, a new pseudo-random number generator (PRNG) is designed based on the multi-double-scroll chaotic system (MDSCS), in which a post-processing circuit is used to improve the quality of the generator. The PRNG has a high data throughput and uses only a small amount of resources in the target FPGA. The proposed PRNG uses less than 1% of the resources of the target FPGA and delivers a data bit throughput of 7.2 Gbps/s. To our best knowledge, it reaches the highest data throughput of PRNG based on continuous chaotic systems. The evaluation sequences are tested using generic randomness tests such as NIST SP800-22, TestU01, and Histograms. The experimental results show that the random sequences generated by our design have passed all the test items, which means that they will have excellent performance in the application.