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In this work, Pseudo-Random Bit Generation (PRBG) based on 2D chaotic mappings of logistic type is considered. The sequences generated with two Pseudorandom Bit Generators (PRBGs) of this type are statistically tested and the computational…

Chaotic Dynamics · Physics 2008-03-03 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

Utilization of chaotic signals for covert communications remains a very promising practical application. Multiple studies indicated that the major shortcoming of recently proposed chaos-based communication schemes is their susceptibility to…

We demonstrate a random bit streaming system that uses a chaotic laser as its physical entropy source. By performing real-time bit manipulation for bias reduction, we were able to provide the memory of a personal computer with a constant…

Instrumentation and Detectors · Physics 2017-03-29 Susumu Shinohara , Kenichi Arai , Peter Davis , Satoshi Sunada , Takahisa Harayama

The applicability of machine learning for predicting chaotic dynamics relies heavily upon the data used in the training stage. Chaotic time series obtained by numerically solving ordinary differential equations embed a complicated noise of…

Data Analysis, Statistics and Probability · Physics 2021-10-13 Igor A Khovanov

In this paper, a new approach for constructing integer domain chaotic systems (IDCS) is proposed, and its chaotic behavior is mathematically proven according to the Devaney's definition of chaos. Furthermore, an analog-digital hybrid…

Chaotic Dynamics · Physics 2016-08-31 Qianxue Wang , Simin Yu , Christophe Guyeux , Jacques Bahi , Xiaole Fang

An approach to generate the pseudorandom-bit sequence from the asymptotic deterministic randomness system is proposed in this Letter. We study the characteristic of multi-value correspondence of the asymptotic deterministic randomness…

Chaotic Dynamics · Physics 2009-11-13 Kai Wang , Wenjiang Pei , Haishan Xia , Yiu-ming Cheung

We present results of extensive bit level tests on some pseudorandom number generators which are commonly used in physics applications. The generators have first been tested with an extended version of the $d$-tuple test. Second, we have…

High Energy Physics - Lattice · Physics 2009-10-22 K. Kankaala , T. Ala-Nissila , I. Vattulainen

New chaos-based communication schemes for transmission of analog and digital information are suggested. The carrier signal is produced by chaotic generator having well-defined oscillation phases at least on short time intervals. For data…

Chaotic Dynamics · Physics 2017-08-10 Olga B. Isaeva , Alexey Yu. Jalnine , Sergey P. Kuznetsov

A major problem in using iterative number generators of the form x_i=f(x_{i-1}) is that they can enter unexpectedly short cycles. This is hard to analyze when the generator is designed, hard to detect in real time when the generator is…

Cryptography and Security · Computer Science 2010-11-02 Adi Shamir , Boaz Tsaban

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

Random number generators (RNG) based on quantum mechanics are captivating due to their security and unpredictability compared to conventional generators, such as pseudo-random number generators and hardware-random number generators. This…

Digital circuits based on residue number systems have been considered to produce a pseudo-random behavior. The present work is an initial step towards the complete implementation of those systems for similar applications using quantum…

Quantum Physics · Physics 2025-06-03 Andrea Ceschini , Antonello Rosato , Massimo Panella

The generation of random numbers via quantum processes is an efficient and reliable method to obtain true indeterministic random numbers that are of vital importance to cryptographic communication and large-scale computer modeling. However,…

Quantum Physics · Physics 2015-05-20 J. Y. Haw , S. M. Assad , A. M. Lance , N. H. Y. Ng , V. Sharma , P. K. Lam , T. Symul

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

Quantum random number generators can provide genuine randomness by appealing to the fundamental principles of quantum mechanics. In general, a physical generator contains two parts---a randomness source and its readout. The source is…

Quantum Physics · Physics 2016-03-01 Zhu Cao , Hongyi Zhou , Xiao Yuan , Xiongfeng Ma

We propose a novel pseudorandom number generator based on R\"ossler attractor and bent Boolean function. We estimated the output bits properties by number of statistical tests. The results of the cryptanalysis show that the new pseudorandom…

Cryptography and Security · Computer Science 2018-07-31 Borislav Stoyanov , Krzysztof Szczypiorski , Krasimir Kordov

The generation of random bits is of enormous importance in modern information science. Cryptographic security is based on random numbers which require a physical process for their generation. This is commonly performed by hardware random…

Quantum Physics · Physics 2017-12-07 Tobias Steinle , Johannes N. Greiner , Jörg Wrachtrup , Harald Giessen , Ilja Gerhardt

The $\beta$-encoder is an analog circuit that converts an input signal $x \in [0,1]$ into a finite bit stream $\{b_i\}$. The bits $\{b_i\}$ are correlated and therefore are not immediately suitable for random number generation, but they can…

Dynamical Systems · Mathematics 2023-03-24 Charlene Kalle , Evgeny Verbitskiy , Benthen Zeegers

In this paper, we develop an information entropy based metric that represents the statistical quality of the generated binary sequence in Truly Random Number Generators (TRNG). The metric can be used for the design and optimization of the…

Information Theory · Computer Science 2015-03-20 Ahmad Beirami , Hamid Nejati , Yehia Massoud

We describe random processes (with binary alphabet) whose entropy is less than 1 (per letter), but they mimic true random process, i.e., by definition, generated sequence can be interpreted as the result of the flips of a fair coin with…

Information Theory · Computer Science 2015-12-23 Boris Ryabko