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The cryptographic security provided by various techniques of random number generator (RNG) construction is one of the developing researches areas today. Among various types of RNG, the true random bit generator (TRBG) can be considered as…

Signal Processing · Electrical Eng. & Systems 2018-05-22 Togzhan Abzhanova , Irina Dolzhikova , Alex Pappachen James

Random number generators (RNGs) that are crucial for cryptographic applications have been the subject of adversarial attacks. These attacks exploit environmental information to predict generated random numbers that are supposed to be truly…

Machine Learning · Computer Science 2025-05-08 Nhan Duy Truong , Jing Yan Haw , Syed Muhamad Assad , Ping Koy Lam , Omid Kavehei

Although machine learning (ML) has been successful in automating various software engineering needs, software testing still remains a highly challenging topic. In this paper, we aim to improve the generative testing of software by directly…

Software Engineering · Computer Science 2022-02-01 Chuan-Yung Tsai , Graham W. Taylor

The main goal of this paper is to construct a wavelet-type random series representation for a random field $X$, defined by a multistable stochastic integral, which generates a multifractional multistable Riemann-Liouville (mmRL) process…

Probability · Mathematics 2020-04-14 Antoine Ayache , Julien Hamonier

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

Well-known chaotic maps, such as the logistic and tent maps, have been used to generate cryptographically secure pseudorandomness, yet we know of no efforts which attempt to use the Gauss continued-fraction map, a known chaotic map, as a…

Dynamical Systems · Mathematics 2026-05-08 Benjamin V. Holt

In this paper we propose a new ternary QRNG based on measuring located value indefinite observables with probabilities $1/4, 1/2,1/4$ and prove that every sequence generated is maximally unpredictable, 3-bi-immune (a stronger form of…

Quantum Physics · Physics 2020-09-22 José Manuel Agüero Trejo , Cristian S. Calude

Designing a pseudorandom number generator (PRNG) is a difficult and complex task. Many recent works have considered chaotic functions as the basis of built PRNGs: the quality of the output would indeed be an obvious consequence of some…

Cryptography and Security · Computer Science 2017-03-08 Sylvain Contassot-Vivier , Jean-François Couchot , Christophe Guyeux , Pierre-Cyrille Heam

Next-generation reservoir computing (NG-RC) has attracted much attention due to its excellent performance in spatio-temporal forecasting of complex systems and its ease of implementation. This paper shows that NG-RC can be encoded as a…

Machine Learning · Computer Science 2025-02-24 Lyudmila Grigoryeva , Hannah Lim Jing Ting , Juan-Pablo Ortega

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

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

This paper shows how Long Short-term Memory recurrent neural networks can be used to generate complex sequences with long-range structure, simply by predicting one data point at a time. The approach is demonstrated for text (where the data…

Neural and Evolutionary Computing · Computer Science 2014-06-06 Alex Graves

We present an efficient method to extract the amount of true randomness that can be obtained by a Quantum Random Number Generator (QRNG). By repeating the measurements of a quantum system and by swapping between two mutually unbiased bases,…

Quantum Physics · Physics 2014-12-23 G. Vallone , D. Marangon , M. Tomasin , P. Villoresi

A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of x= cot2(x). Digital computer simulation of this function iteration exhibits random behavior. A method is proposed to extract…

Discrete Mathematics · Computer Science 2013-01-23 Nabarun Mondal , Partha P. Ghosh

We present the Random Permutation Sorting System (RPSS), a novel framework for true uniform randomness generation grounded in statistical quantum mechanics. RPSS is built on a pair of conjugate observables, the permutation count and the…

Quantum Physics · Physics 2026-02-10 Randy Kuang

Nowadays random number generation plays an essential role in technology with important applications in areas ranging from cryptography, which lies at the core of current communication protocols, to Monte Carlo methods, and other…

Peres algorithm applies the famous von Neumann trick recursively to produce unbiased random bits from biased coin tosses. Its recursive nature makes the algorithm simple and elegant, and yet its output rate approaches the…

Data Structures and Algorithms · Computer Science 2018-05-23 Sung-il Pae

Generators of random sequences used in high-end applications such as cryptography rely on entropy sources for their indeterminism. Physical processes governed by the laws of quantum mechanics are excellent sources of entropy available in…

Quantum Physics · Physics 2022-05-02 Nithin Abraham , Kenji Watanabe , Takashi Taniguchi , Kausik Majumdar

One of the key requirement of many schemes is that of random numbers. Sequence of random numbers are used at several stages of a standard cryptographic protocol. A simple example is of a Vernam cipher, where a string of random numbers is…

Computational Physics · Physics 2015-10-06 Ram Soorat , Madhuri K. , Ashok Vudayagiri

Quantum random-number generators (QRNGs) can offer a means to generate information-theoretically provable random numbers, in principle. In practice, unfortunately, the quantum randomness is inevitably mixed with classical randomness due to…

Quantum Physics · Physics 2013-06-25 Xiongfeng Ma , Feihu Xu , He Xu , Xiaoqing Tan , Bing Qi , Hoi-Kwong Lo
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