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This article presents a new class of Pseudorandom Number Generators. The generators are based on traversing a n-cube where a Balanced Hamiltonian Cycle has been removed. The construction of such generators is automatic for small number of…

数据结构与算法 · 计算机科学 2017-06-28 Jean-François Couchot , Pierre-Cyrille Heam , Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

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…

信号处理 · 电气工程与系统科学 2024-01-29 Miguel Garcia-Bosque , Adrián Pérez-Resa , Carlos Sánchez-Azqueta , Concepción Aldea , Santiago Celma

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…

密码学与安全 · 计算机科学 2017-06-27 Mohammed Bakiri , Jean-François Couchot , Christophe Guyeux

A generalized method is proposed to compose new orbits from a given chaotic map. The method provides an approach to examine discrete-time chaotic maps in a "deep-zoom" manner by using $k$-digits to the right from the decimal separator of a…

混沌动力学 · 物理学 2017-06-07 Jeaneth Machicao , Odemir Martinez Bruno

In this paper, a new chaotic pseudo-random number generator (PRNG) is proposed. It combines the well-known ISAAC and XORshift generators with chaotic iterations. This PRNG possesses important properties of topological chaos and can…

密码学与安全 · 计算机科学 2010-12-22 Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

In this paper, we present the design of a new chaotic map circuit with a 65nm CMOS process. This chaotic map circuit uses a dynamic parameter-control topology and generates a wide chaotic range. We propose two designs of dynamic…

硬件体系结构 · 计算机科学 2021-01-06 Partha Sarathi Paul , Maisha Sadia , Md Sakib Hasan

We deal with randomness-quantifiers and concentrate on their ability do discern the hallmark of chaos in time-series used in connection with pseudo random number generators (PRNG). Workers in the field are motivated to use chaotic maps for…

混沌动力学 · 物理学 2015-05-13 L. De Micco , H. A. Larrondo , A. Plastino , O. A. Rosso

In this paper, a new pseudo-random number generator (PRNG) based on chaotic iterations is proposed. This method also combines the digits of two XORshifts PRNGs. The statistical properties of this new generator are improved: the generated…

密码学与安全 · 计算机科学 2010-12-22 Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

With the widespread use of communication technologies, cryptosystems are therefore critical to guarantee security over open networks as the Internet. Pseudo-random number generators (PRNGs) are fundamental in cryptosystems and information…

密码学与安全 · 计算机科学 2011-12-06 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux , Qianxue Wang

This paper explores the development and viability of an alternative pseudorandom number generator (PRNG) that leverages the chaotic dynamics of multiple pendulum systems. Some traditional PRNGs, notably the one implemented in the…

密码学与安全 · 计算机科学 2024-04-29 Matthew Sigit

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…

密码学与安全 · 计算机科学 2011-12-23 Jacques M. Bahi , Raphaël Couturier , Christophe Guyeux , Pierre-Cyrille Héam

The paper develops techniques in order to construct computer programs, pseudorandom number generators (PRNG), that produce uniformly distributed sequences. The paper exploits an approach that treats standard processor instructions…

动力系统 · 数学 2011-11-15 Vladimir Anashin

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…

量子物理 · 物理学 2013-11-20 Daniela Frauchiger , Renato Renner , Matthias Troyer

Chaos enables the emergence of randomness in deterministic physical systems. Therefore it can be exploited for the conception of true random number generators (RNG) mandatory in classical cryptography applications. Meanwhile, nanomechanical…

介观与纳米尺度物理 · 物理学 2022-09-14 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

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…

密码学与安全 · 计算机科学 2024-08-13 Muhammad Irfan , Muhammad Asif Khan

Pseudo-random number generators (PRNGs) are essential in a wide range of applications, from cryptography to statistical simulations and optimization algorithms. While uniform randomness is crucial for security-critical areas like…

密码学与安全 · 计算机科学 2025-01-03 Jianan Wu , Ahmet Yusuf Salim , Eslam Elmitwalli , Selçuk Köse , Zeljko Ignjatovic

The pseudo-random number generators (PRNGs), sampling algorithms, and algorithms for generating random integers in some common statistical packages and programming languages are unnecessarily inaccurate, by an amount that may matter for…

统计计算 · 统计学 2018-10-29 Philip B. Stark , Kellie Ottoboni

This project develops a pseudo-random number generator (PRNG) using the logistic map, implemented in Verilog HDL on an FPGA and processes its output through a Central Limit Theorem (CLT) function to achieve a Gaussian distribution. The…

Emergence of stochastic simulations as an extensively used computational tool for scientific purposes intensified the need for more accurate ways of generating sufficiently long sequences of uncorrelated random numbers. Even though several…

数学软件 · 计算机科学 2014-08-14 Ayse Ferhan Yesil , M. Cemal Yalabik

High quality random numbers are necessary in the modern world. Ranging from encryption keys in cyber security to models and simulations for scientific use: it's important that these random numbers are of high quality and quickly attainable.…

密码学与安全 · 计算机科学 2024-05-16 Dmitriy Beznosko , Keith Driscoll , Fernando Guadarrama , Steven Mai , Nikolas Thornton
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