4.6 Article

Design of a High Throughput Pseudorandom Number Generator Based on Discrete Hyper-Chaotic System

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2022.3178103

Keywords

Complexity theory; Throughput; Nonlinear dynamical systems; Generators; Field programmable gate arrays; Chaotic communication; Logistics; Discrete hyper-chaotic system; embedded cross-coupled; FPGA; high throughput; NIST

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Chaotic systems with non-linear dynamics are potential candidates for PRNGs. This paper proposes a discrete hyper-chaotic system with a cross-coupled topological structure, which exhibits high complexity of chaotic dynamics. The chaotic sequences generated by this system show better randomness quality than other maps and the PRNG based on this system has good hardware resources utilization, achieving a high throughput of 10.04 Gbps.
Chaotic systems with non-linear dynamic behaviors enable them to be potential candidates for pseudo-random number generators (PRNGs). Most PRNGs are capable of throughputs in the Gbps range. Here, we propose a discrete hyper-chaotic system with an embedded cross-coupled topological structure, which has two large positive Lyapunov exponents (LEs) exhibit a high level of complexity of chaotic dynamics. The chaotic sequences generated by ours show better randomness quality than the ones generated by the tent and 2D logistic maps when evaluated via Sample Entropy (SE) and Permutation Entropy (PE). Last but not the least, PRNG based on our system reveals good hardware resources utilization on field-programmable gate array (FPGA). The bits throughput of which is up to 10.04 Gbps, and over 3.62 Gbps larger than the highest level of designs by far. And all the generated bits have successfully passed the famous NIST SP800.22 and TestU01 without extra post-processing.

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