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This study proposes a pseudo random number generator of q-Gaussian random variables for a range of q values, -infinity < q < 3, based on deterministic chaotic map dynamics. Our method consists of chaotic maps on the unit circle and map…

信息论 · 计算机科学 2013-01-10 Ken Umeno , Aki-Hiro Sato

The logistic map is one of the simple systems exhibiting order to chaos transition. In this work we have investigated the possibility of using the logistic map in the chaotic regime ({\sc logmap}) for a pseudo random number generator. To…

凝聚态物理 · 物理学 2007-05-23 S. C. Phatak , S. Suresh Rao

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…

混沌动力学 · 物理学 2009-11-13 Kai Wang , Wenjiang Pei , Haishan Xia , Yiu-ming Cheung

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

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

A scheme for pseudo-random binary sequence generation based on the two-dimensional discrete-time Henon map is proposed. Properties of the proposed sequences pertaining to linear complexity, linear complexity profile, correlation and…

密码学与安全 · 计算机科学 2007-05-23 Madhekar Suneel

We introduce new families of enhanced chaotic number generators in order to compute very fast long series of pseudorandom numbers. The key feature of these generators being the use of chaotic numbers themselves for sampling chaotic…

动力系统 · 数学 2008-02-20 R. Lozi

With meteoric developments in communication systems and data storage technologies, the need for secure data transmission is more crucial than ever. The level of security provided by any cryptosystem relies on the sensitivity of the private…

密码学与安全 · 计算机科学 2020-11-03 Unnikrishnan Menon , Anirudh Rajiv Menon , Atharva Hudlikar

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…

混沌动力学 · 物理学 2008-03-03 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

Pseudo-Random Bit Generation (PRBG) is required in many aspects of cryptography as well as in other applications of modern security engineering. In this work, PRBG based on 2D symmetrical chaotic mappings of logistic type is considered. The…

混沌动力学 · 物理学 2008-01-28 C. Pellicer-Lostao , R. Lopez-Ruiz

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

We proposed the deep zoom analysis of the composition of the logistic map and the tent map, which are well-known discrete unimodal chaotic maps. The deep zoom technique transforms each point of a given chaotic orbit by removing its first…

密码学与安全 · 计算机科学 2021-11-10 João Pedro do Valle Alvarenga , Jeaneth Machicao , Odemir Bruno

Pseudorandom circuits generate quantum states and unitary operators which are approximately distributed according to the unitarily invariant Haar measure. We explore how several design parameters affect the efficiency of pseudo-random…

量子物理 · 物理学 2009-11-13 Yaakov S. Weinstein , Winton G. Brown , Lorenza Viola

We generate new hierarchy of many-parameter family of maps of the interval [0,1] with an invariant measure, by composition of the chaotic maps of reference [1]. Using the measure, we calculate Kolmogorov-Sinai entropy, or equivalently…

混沌动力学 · 物理学 2015-06-26 M. A. Jafarizadeh , S. Behnia , S. Khorram , H. Naghshara

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

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 recent years, a lot of research has gone into creating multi-layer chaotic mapping-based cryptosystems. Random-like behavior, a continuous broadband power spectrum, and a weak baseline condition dependency are all characteristics of…

密码学与安全 · 计算机科学 2022-08-15 Awnon Bhowmik , Emon Hossain , Mahmudul Hasan

Dynamic and non-linear systems are emerging as potential candidates for random bit generation. In this context, chaotic systems, which are both dynamic and stochastic, are particularly suitable. This paper introduces a new continuous…

系统与控制 · 电气工程与系统科学 2023-01-09 Ngoc T. Nguyen , Toan Q. Bui , Ghyslain Gagnon , Pascal Giard , Georges Kaddoum

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

Internet communication systems involving cryptography and data hiding often require billions of random numbers. In addition to the speed of the algorithm, the quality of the pseudo-random number generator and the ease of its implementation…

密码学与安全 · 计算机科学 2017-06-28 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux
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