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Many Random Number Generators (RNG) are available nowadays; they are divided in two categories, hardware RNG, that provide "true" random numbers, and algorithmic RNG, that generate pseudo random numbers (PRNG). Both types usually generate…

Information Theory · Computer Science 2018-09-28 Andrea C. G. Mennucci

In this paper, a new pseudorandom number generator (PRNG) based on the logistic map has been proposed. To prevent the system to fall into short period orbits as well as increasing the randomness of the generated sequences, the proposed…

Signal Processing · Electrical Eng. & Systems 2024-01-29 Miguel Garcia-Bosque , Adrián Pérez-Resa , Carlos Sánchez-Azqueta , Concepción Aldea , Santiago Celma

The Mersenne Twister MT19937 pseudorandom number generator, introduced by the last two authors in 1998, is still widely used. It passes all existing statistical tests, except for the linear complexity test, which measures the ratio of the…

Mathematical Software · Computer Science 2026-01-05 Alain Schumacher , Takuji Nishimura , Makoto Matsumoto

Statistical machine learning often uses probabilistic algorithms, such as Markov Chain Monte Carlo (MCMC), to solve a wide range of problems. Many accelerators are proposed using specialized hardware to address sampling inefficiency, the…

Signal Processing · Electrical Eng. & Systems 2020-03-09 Xiangyu Zhang , Sayan Mukherjee , Alvin R. Lebeck

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…

Differential Privacy (DP) relies on random numbers to preserve privacy, typically utilising Pseudorandom Number Generators (PRNGs) as a source of randomness. In order to allow for consistent reproducibility, testing and bug-fixing in DP…

Cryptography and Security · Computer Science 2023-07-10 Naoise Holohan

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

In this paper we present a new pseudorandom number generator (PRNG) on graphics processing units (GPU). This PRNG is based on the so-called chaotic iterations. It is firstly proven to be chaotic according to the Devaney's formulation. We…

Cryptography and Security · Computer Science 2011-12-23 Jacques M. Bahi , Raphaël Couturier , Christophe Guyeux , Pierre-Cyrille Héam

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

In this paper we show how different sources of random numbers influence the outcomes of Monte Carlo simulations. We compare industry-standard pseudo-random number generators (PRNGs) to a quantum random number generator (QRNG) and show,…

Computational Physics · Physics 2025-01-03 Anton Lebedev , Annika Möslein , Olha I. Yaman , Del Rajan , Philip Intallura

In this work, by employing a bitsliced data representation as building blocks of algorithms, we showcase the capability and scalability of our proposed method in a variety of PRNG methods in the category of block and stream ciphers. While…

Cryptography and Security · Computer Science 2019-10-22 Saleh Khalaj Monfared , Omid Hajihassani , Soroush Meghdadi Zanjani , Mohammadsina Kiarostami , Dara Rahmati , Saeid Gorgin

We introduce the Romu family of pseudo-random number generators (PRNGs) which combines the nonlinear operation of rotation with the linear operations of multiplication and (optionally) addition. Compared to conventional linear-only PRNGs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-27 Mark A. Overton

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

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

This paper conducts a comparative study of three IoT-based PRNG models, including Logistic Map, Double Pendulum, and Multi-LFSR, implemented on an FPGA platform. Comparisons are made across key performance metrics like randomness, latency,…

Cryptography and Security · Computer Science 2025-05-08 Tee Hui Teo

Randomness supports many critical functions in the field of machine learning (ML) including optimisation, data selection, privacy, and security. ML systems outsource the task of generating or harvesting randomness to the compiler, the cloud…

Machine Learning · Computer Science 2024-02-13 Pranav Dahiya , Ilia Shumailov , Ross Anderson

The statistical characterization of the measurement errors of a phasor measurement unit (PMU) is currently receiving considerable interest in the power systems community. This paper focuses on the characteristics of the errors in magnitude…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Demetra Salls , Jairo Ramírez Torres , Antos Cheeramban Varghese , John Patterson , Anamitra Pal

We address the problem of detecting deviations of binary sequence from randomness,which is very important for random number (RNG) and pseudorandom number generators (PRNG). Namely, we consider a null hypothesis $H_0$ that a given bit…

Information Theory · Computer Science 2007-07-13 B. Ya. Ryabko , V. A. Monarev

Basic uniform pseudo-random number generators are implemented on ATI Graphics Processing Units (GPU). The performance results of the realized generators (multiplicative linear congruential (GGL), XOR-shift (XOR128), RANECU, RANMAR, RANLUX…

High Energy Physics - Lattice · Physics 2011-01-27 Vadim Demchik

This paper focuses on the design and implementation of a high-quality and high-throughput true-random number generator (TRNG) in FPGA. Various practical issues which we encountered are highlighted and the influence of the various parameters…

Cryptography and Security · Computer Science 2009-06-26 Cristian Klein , Octavian Cret , Alin Suciu