n-dimensional ring-coupled hyperchaotic map and Its FPGA-based high-throughput pseudorandom number generator

Abstract Pseudorandom number generators (PRNGs) are essential components in modern cryptographic systems, where both high throughput and superior randomness quality are critical Requirements. However, many mainstream PRNGs fail to possess these characteristics simultaneously. This paper presents a novel N-dimensional ring-coupled hyperchaotic map (nD-RCHM) which exhibits excellent nonlinear characteristics, with n positive LEs. Moreover, its simple mathematic form benefits efficient hardware implementation. By setting n=3 yields the 3D-RCHM. We developed an FPGA-based PRNG which incorporates register segmentation and combinational logic optimization to enable dual-sequence output that achieves a throughput of 24 Gbps at 134 MHz clock frequency while utilizing less than 2% of FPGA resources. In addition, all the generated sequences have successfully passed rigorous statistical tests, including NIST SP800-22, without extra post-processing. The experimental results demonstrate that the proposed PRNG outperforms the state of the art PRNGs in the speed of random bits generation, hardware consumption, making it particularly suitable for real-time secure communications, IoT encryption, and other high-speed cryptographic applications.