TL;DR
This paper analyzes the entropy of the Mersenne-Twister and its variants, providing insights into their randomness quality and comparing different modern generators' entropy levels.
Contribution
It offers the first comprehensive analysis of the Kolmogorov entropy across various Mersenne-Twister variants and related generators.
Findings
Original Mersenne-Twister has high entropy indicating good randomness.
Modern variants show varying entropy levels, affecting their randomness quality.
Entropy analysis helps evaluate the reliability of pseudo-random number generators.
Abstract
The Mersenne-Twister is one of the most popular generators of uniform pseudo-random numbers. It is used in many numerical libraries and software. In this paper, we look at the Komolgorov entropy of the original Mersenne-Twister, as well as of more modern variations such as the 64-bit Mersenne-Twisters, the Well generators, and the Melg generators.
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Taxonomy
TopicsChaos-based Image/Signal Encryption · Computability, Logic, AI Algorithms