Benchmarking Various 1D Chaotic Maps For Lightweight Pseudo-Random Number Generation

This study comparatively analyzes the performance of various one-dimensional (1D) chaotic maps for Internet of Things (IoT) devices and resource-constrained environments using a lightweight Pseudo Random Number Generator (PSRNG). The research aims to determine the most suitable 1D chaotic map for IoT devices and image encryption applications. The study tested and evaluated nine different chaotic maps such as Logistic Map, ID ILM, ID IQM, Tent Map, Sine Map, Gauss Map, Circle Map, Chebyshev Map and Quadratic Map using the NIST-SP800-22R1A statistical test suite. Five out of the nine chaotic maps (1D IQM, 1D ILM, Sine Map, Gauss Map, and Chebyshev Map) successfully passed all the statistical tests. Regarding security, 1D IQM, 1D ILM, and Gauss Map were found to be resistant to both brute-force attacks and quantum attacks. According to the execution time tests, Sine Map has the fastest execution time but does not provide quantum resistance. Among the quantum-resistant maps, Gauss Map showed the quickest performance. It is concluded that Gauss Map can be a good option for applications requiring secure and efficient random number generation, especially for IoT devices and other resource-constrained environments. This study guides IoT developers and cryptography experts to develop random number generation solutions that meet high-security standards in resource-constrained environments.