Comparative Analysis Between Counter Mode Deterministic Random Bit Generators and Chaos-Based Pseudo-Random Number Generators

Pseudo-random number generators (PRNGs) are essential components in cryptographic applications, providing the basis for generating keys, creating digital signatures, and ensuring secure communications. This research explores two methodologies for pseudo-random number generation: the implementation of the Counter mode deterministic random bit generator (CTRDRBG) according to the National Institute of Standards and Technology (NIST) specifications, and a chaos-based pseudo-random number generator. The CTRDRBG implementation utilizes a 256-bit seed and follows strict NIST guidelines, ensuring resistance against brute force and cryptanalytic attacks. In contrast, the chaos-based approach harnesses chaotic dynamics to generate high-quality random values efficiently based on a 256-bit key. By optimizing parameters and introducing a threshold for random bit generation, we prove that the chaos-based generator achieves superior randomness and statistical properties.