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Conventional random number generators provide the speed but not necessarily the high quality output streams needed for large-scale stochastic simulations. Cryptographically-based generators, on the other hand, provide superior quality…

Numerical Analysis · Mathematics 2013-07-17 William K. Cochran , Michael T. Heath , Kyle W. McKiou

Random Number Generators (RNGs) are crucial for applications ranging from cryptography to simulations. Depending on the source of randomness, RNGs are classified into Pseudo-Random Number Generators (PRNGs), True Random Number Generators…

Quantum Physics · Physics 2026-04-02 Anurag K. S. V. , Shubham Chouhan , K. Srinivasan , G. Raghavan , Kanaka Raju P

This is a review of pseudorandom number generators (RNG's) of the highest quality, suitable for use in the most demanding Monte Carlo calculations. All the RNG's we recommend here are based on the Kolmogorov-Anosov theory of mixing in…

Computational Physics · Physics 2019-05-30 Frederick James , Lorenzo Moneta

Sub-categories of mathematical topology, like the mathematical theory of chaos, offer interesting applications devoted to information security. In this research work, we have introduced a new chaos-based pseudorandom number generator…

Cryptography and Security · Computer Science 2017-06-27 Mohammed Bakiri , Jean-François Couchot , Christophe Guyeux

Ideal quantum random number generators (QRNGs) can produce algorithmically random and thus incomputable sequences, in contrast to pseudo-random number generators. However, the verification of the presence of algorithmic randomness and…

Quantum Physics · Physics 2021-01-06 John T. Kavulich , Brennan P. Van Deren , Maximilian Schlosshauer

Langevin Dynamics, Monte Carlo, and all-atom Molecular Dynamics simulations in implicit solvent, widely used to access the microscopic transitions in biomolecules, require a reliable source of random numbers. Here we present the two main…

Chemical Physics · Physics 2010-03-05 A. Zhmurov , K. Rybnikov , Y. Kholodov , V. Barsegov

Random numbers are an essential resource to many applications, including cryptography and Monte Carlo simulations. Quantum random number generators (QRNGs) represent the ultimate source of randomness, as the numbers are obtained by sampling…

The Linux pseudorandom number generator (PRNG) is a PRNG with entropy inputs and is widely used in many security-related applications and protocols. This PRNG is written as an open-source code which is subject to regular changes. It has…

Programming Languages · Computer Science 2023-12-07 Ayush Bansal , Pramod Subramanyan , Satyadev Nandakumar

A novel Mathematical Random Number Generator (MRNG) is presented here. In this case, "mathematical" refers to the fact that to construct that generator it is not necessary to resort to a physical phenomenon, such as the thermal noise of an…

Numerical Analysis · Computer Science 2012-11-22 Osvaldo Skliar , Ricardo E. Monge , Sherry Gapper , Guillermo Oviedo

The use of three extractors, fed by linear feedback shift registers (LFSR) for generating pseudo-random bit streams is investigated. Specifically, a standard LFSR is combined with a von Neumann extractor, a modified LFSR, extended by the…

Cryptography and Security · Computer Science 2024-04-19 Holger Nobach

High-performance streams of (pseudo) random numbers are crucial for the efficient implementation for countless stochastic algorithms, most importantly, Monte Carlo simulations and molecular dynamics simulations with stochastic thermostats.…

Computational Physics · Physics 2012-08-30 Markus Manssen , Martin Weigel , Alexander K. Hartmann

Parallel stochastic simulations tend to exploit more and more computing power and they are now also developed for General Purpose Graphics Process Units (GP-GPUs). Conse-quently, they need reliable random sources to feed their applications.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-02 Jonathan Passerat-Palmbach , Claude Mazel , Antoine Mahul , David Hill

Random numbers form an intrinsic part of modern day computing with applications in a wide variety of fields. But due to their limitations, the use of pseudo random number generators (PRNGs) is certainly not desirable for sensitive…

Quantum Physics · Physics 2023-09-27 Abhishek Yadav , Sandeep Mishra , Anirban Pathak

Random number generation is an important task in a wide variety of critical applications including cryptographic algorithms, scientific simulations, and industrial testing tools. True Random Number Generators (TRNGs) produce truly random…

Hardware Architecture · Computer Science 2022-06-07 F. Nisa Bostancı , Ataberk Olgun , Lois Orosa , A. Giray Yağlıkçı , Jeremie S. Kim , Hasan Hassan , Oğuz Ergin , Onur Mutlu

Random number generators (RNG) are an important resource in many areas: cryptography (both quantum and classical), probabilistic computation (Monte Carlo methods), numerical simulations, industrial testing and labeling, hazard games,…

Quantum Physics · Physics 2015-05-27 Mario Stipcevic

Even if the output of a Random Number Generator (RNG) is perfectly uniformly distributed, it may be correlated to pre-existing information and therefore be predictable. Statistical tests are thus not sufficient to guarantee that an RNG is…

Quantum Physics · Physics 2013-11-20 Daniela Frauchiger , Renato Renner , Matthias Troyer

Quantum random number generators (QRNGs) promise perfectly unpredictable random numbers. However, the security certification of the random numbers in form of a stochastic model often introduces assumptions that are either hardly justified…

This paper has a practical aim. For a long time, implementations of pseudorandom number generators in standard libraries of programming languages had poor quality. The situation started to improve only recently. Up to now, a large number of…

Mathematical Software · Computer Science 2020-04-21 Migran N. Gevorkyan , Dmitry S. Kulyabov , Anastasia V. Demidova , Anna V. Korolkova

The security of many cryptographic constructions depends on random number generators for providing unpredictable keys, nonces, initialization vectors and other parameters. Modern operating systems implement cryptographic pseudo-random…

Cryptography and Security · Computer Science 2013-11-14 Richard Ostertág , Martin Stanek

Quantum random number generators (QRNGs) use the inherent unpredictability of quantum mechanics to generate true randomness, as opposed to classical random number generators. However, ensuring the authenticity of this randomness still…