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Generating secure random numbers is vital to the security and privacy infrastructures we rely on today. Having a computer system generate a secure random number is not a trivial problem due to the deterministic nature of computer systems.…

Cryptography and Security · Computer Science 2018-04-10 JV Roig

{\em Ziggurat} and {\em Monty Python} are two fast and elegant methods proposed by Marsaglia and Tsang to transform uniform random variables to random variables with normal, exponential and other common probability distributions. While the…

Statistics Theory · Mathematics 2007-06-13 Boaz Nadler

This study investigates the application of machine learning predictors for min-entropy estimation in Random Number Generators (RNGs), a key component in cryptographic applications where accurate entropy assessment is essential for…

Machine Learning · Computer Science 2024-07-01 Javier Blanco-Romero , Vicente Lorenzo , Florina Almenares Mendoza , Daniel Díaz-Sánchez

We introduce a systematic method for constructing polytope approximations to the quantum set in a variety of device-independent quantum random number generation (DI-QRNG) protocols. Our approach relies on two general-purpose algorithms that…

Quantum Physics · Physics 2026-03-11 Hyejung H. Jee , Florian J. Curchod , Mafalda L. Almeida

We present a novel, computationally simple method of hiding any message in the stream of random bits by using a secret key. The method is called Bury Among Random Numbers (BARN). A stream of random bits is produced by extracting the entropy…

Cryptography and Security · Computer Science 2024-04-16 Jan J. Tatarkiewicz , Wieslaw B. Kuzmicz

We analyze the thermodynamic costs of the three main approaches to generating random numbers via the recently introduced Information Processing Second Law. Given access to a specified source of randomness, a random number generator (RNG)…

Statistical Mechanics · Physics 2017-07-05 C. Aghamohammadi , J. P. Crutchfield

We revisit Nisan's classical pseudorandom generator (PRG) for space-bounded computation (STOC 1990) and its applications in streaming algorithms. We describe a new generator, HashPRG, that can be thought of as a symmetric version of Nisan's…

Data Structures and Algorithms · Computer Science 2024-01-05 Praneeth Kacham , Rasmus Pagh , Mikkel Thorup , David P. Woodruff

With the advancement of quantum computing technologies, recent years have seen increasing efforts to identify cryptographic methods resistant to quantum attacks and to establish post-quantum cryptography (PQC) approaches. Among these,…

Cryptography and Security · Computer Science 2025-06-25 Abel C. H. Chen

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

Physical Unclonable Functions (PUFs) are widely used to generate random Numbers. In this paper we propose a new architecture in which an Arbiter Based PUF has been employed as a nonlinear function in Nonlinear Feedback Shift Register (NFSR)…

Cryptography and Security · Computer Science 2012-04-12 Ali Sadr , Mostafa Zolfaghari-Nejad

Prior works propose SRAM-based TRNGs that extract entropy from SRAM arrays. SRAM arrays are widely used in a majority of specialized or general-purpose chips that perform the computation to store data inside the chip. Thus, SRAM-based TRNGs…

In this paper, we approximate the hidden Markov model of chaotic-map truly random number generators (TRNGs) and describe its fundamental limits based on the approximate entropy-rate of the underlying bit-generation process. We demonstrate…

Information Theory · Computer Science 2013-03-04 Ahmad Beirami , Hamid Nejati

As a vital security primitive, the true random number generator (TRNG) is a mandatory component to build roots of trust for any encryption system. However, existing TRNGs suffer from bottlenecks of low throughput and high area-energy…

Cryptography and Security · Computer Science 2025-02-04 Yuan Zhang , Kuncai Zhong , Jiliang Zhang

The library RNGSSELIB for random number generators (RNGs) based upon the SSE2 command set is presented. The library contains realization of a number of modern and most reliable generators. Usage of SSE2 command set allows to substantially…

Computational Physics · Physics 2011-04-19 L. Yu. Barash , L. N. Shchur

Pseudorandom quantum states (PRS) are efficiently constructible states that are computationally indistinguishable from being Haar-random, and have recently found cryptographic applications. We explore new definitions, new properties and…

Quantum Physics · Physics 2023-06-12 Prabhanjan Ananth , Aditya Gulati , Luowen Qian , Henry Yuen

Quantum random number generators (QRNG) are based on the naturally random measurement results performed on individual quantum systems. Here, we demonstrate a branching-path photonic QRNG implemented with a Sagnac interferometer with a…

Quantum Physics · Physics 2022-05-11 Joakim Argillander , Alvaro Alarcón , Guilherme B. Xavier

Random number generation is fundamental for many modern applications including cryptography, simulations and machine learning. Traditional pseudo-random numbers may offer statistical unpredictability, but are ultimately deterministic. On…

Quantum Physics · Physics 2025-12-11 Andrzej Gnatowski , Jarosław Rudy , Teodor Niżyński , Krzysztof Święcicki

Chaos, a nonlinear dynamical system, favors cryptography due to their inherent sensitive dependence on the initial condition, mixing, and ergodicity property. In recent years, the nonlinear behavior of chaotic maps has been utilized as a…

Cryptography and Security · Computer Science 2024-08-13 Muhammad Irfan , Muhammad Asif Khan

This research aims to develop kernel GNG, a kernelized version of the growing neural gas (GNG) algorithm, and to investigate the features of the networks generated by the kernel GNG. The GNG is an unsupervised artificial neural network that…

Machine Learning · Computer Science 2023-12-20 Kazuhisa Fujita

The Graphcore Intelligence Processing Unit contains an original pseudorandom number generator (PRNG) called xoroshiro128aox, based on the F2-linear generator xoroshiro128. It is designed to be cheap to implement in hardware and provide…

Hardware Architecture · Computer Science 2022-09-13 James Hanlon , Stephen Felix