Entropy Mixing Networks: Enhancing Pseudo-Random Number Generators with Lightweight Dynamic Entropy Injection

Mohamed Aly Bouke; Omar Imhemmed Alramli; Azizol Abdullah; Nur Izura Udzir; Normalia Samian; Mohamed Othman; Zurina Mohd Hanapi

arXiv · 2501.08031

Entropy Mixing Networks: Enhancing Pseudo-Random Number Generators with Lightweight Dynamic Entropy Injection

Mohamed Aly Bouke·Omar Imhemmed Alramli·Azizol Abdullah·Nur Izura Udzir·Normalia Samian·Mohamed Othman·Zurina Mohd Hanapi

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Abstract

Random number generation plays a vital role in cryptographic systems and computational applications, where uniformity, unpredictability, and robustness are essential. This paper presents the Entropy Mixing Network (EMN), a novel hybrid random number generator designed to enhance randomness quality by combining deterministic pseudo-random generation with periodic entropy injection. To evaluate its effectiveness, we propose a comprehensive assessment framework that integrates statistical tests, advanced metrics, and visual analyses, providing a holistic view of randomness quality, predictability, and computational efficiency. The results demonstrate that EMN outperforms Python's SystemRandom and MersenneTwister in critical metrics, achieving the highest Chi-squared p-value (0.9430), entropy (7.9840), and lowest predictability (-0.0286). These improvements come with a trade-off in computational performance, as EMN incurs a higher generation time (0.2602 seconds). Despite this, its superior randomness quality makes it particularly suitable for cryptographic applications where security is prioritized over speed.

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Mohamed Aly Bouke, Omar Imhemmed Alramli, Azizol Abdullah, Nur Izura Udzir, Normalia Samian, Mohamed Othman, Zurina Mohd Hanapi. 2025-01-14. Entropy Mixing Networks: Enhancing Pseudo-Random Number Generators with Lightweight Dynamic Entropy Injection. https://arxiv.org/abs/2501.08031

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