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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

In recent years, a growing number of cryptosystems based on chaos have been proposed. But most of them encountered many problems such as small key space and weak security. In the present paper, a new kind of chaotic cryptosystem based on…

混沌动力学 · 物理学 2010-10-22 S. Behnia , A. Akhshani , A. Akhavan , H. Mahmodi

Chaotic behavior arises from very simple non-linear dynamical equation of logistic map which makes it was used often in designing chaotic image encryption schemes. However, some properties of chaotic maps can also facilitate cryptanalysis…

密码学与安全 · 计算机科学 2016-10-14 Chengqing Li , Tao Xie , Qi Liu , Ge Cheng

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

Cryptography is always very important in data origin authentications, entity authentication, data integrity and confidentiality. In recent years, a variety of chaotic cryptographic schemes have been proposed. These schemes have typical…

密码学与安全 · 计算机科学 2012-02-08 Sodeif Ahadpour , Yaser Sadra , Zahra ArastehFard

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

In many publications, authors showed that chaotic pseudo random number generators (PRNGs) may improve performance of the evolutionary algorithms. In this paper, we use two chaotic maps Gingerbread man and Tinkerbell as the chaotic PRNGs…

神经与进化计算 · 计算机科学 2014-12-22 Lenka Skanderova , Tomas Fabian

This article describes a new family of cryptographically secure pseudorandom number generators, based on coupled chaotic maps, that will serve as keystream in a stream cipher. The maps are a modification of a piecewise linear map, by…

密码学与安全 · 计算机科学 2010-08-18 A. B. Orue , G. Alvarez , A. Guerra , G. Pastor , M. Romera , F. Montoya

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…

动力系统 · 数学 2026-05-08 Benjamin V. Holt

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

Chaotic systems have been investigated in several areas of engineering. In control theory, such systems have instigated the emergence of new techniques as well, have been used as a source of noise generation. The application of chaotic…

信号处理 · 电气工程与系统科学 2019-10-15 M. Teixeira , N. P. Basilio , D. L. Firmo , E. G. Nepomuceno , J. Arias-Garcia

This paper describes the design of a modified tent map characterized by a uniform probability density function. The use of this map is proposed as an alternative to the tent map and the Bernoulli shift. It is shown that practical circuits…

混沌动力学 · 物理学 2014-09-29 Sergio Callegari , Gianluca Setti , Peter J. Langlois

In this paper, by using Logistic, Sine and Tent systems we define a combination chaotic system. Some properties of the chaotic system are studied by using figures and numerical results. A color image encryption algorithm is introduced based…

信息论 · 计算机科学 2017-12-06 R. Parvaz , M. Zarebnia

Quantum Key Distribution(QKD) thrives to achieve perfect secrecy of One time Pad (OTP) through quantum processes. One of the crucial components of QKD are Quantum Random Number Generators(QRNG) for generation of keys. Unfortunately, these…

密码学与安全 · 计算机科学 2023-11-07 Arun Mishra , Kanaka Raju Pandiri , Anupama Arjun Pandit , Lucy Sharma

Chaotic dynamics is an important source for generating pseudorandom binary sequences (PRNS). Much efforts have been devoted to obtaining period distribution of the generalized discrete Arnold's Cat map in various domains using all kinds of…

混沌动力学 · 物理学 2019-09-25 Chengqing Li , Kai Tan , Bingbing Feng , Jinhu Lü

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

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

In this paper, a rigorous analysis of the behavior of the standard logistic map, Logistic Tent system (LTS), Logistic-Sine system (LSS) and Tent-Sine system (TSS) is performed using 0-1 test and three state test (3ST). In this work, it has…

数值分析 · 数学 2021-02-16 Joan S. Muthu , Aditya Jyoti Paul , P. Murali

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

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