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We propose a chosen-ciphertext attack on recently presented noncommutative variant of the well-known Polly Cracker cryptosystem. We show that if one chooses parameters for this noncommutative Polly Cracker as initially proposed, than the…

Information Theory · Computer Science 2007-07-13 Stanislav Bulygin

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

Chaotic Dynamics · Physics 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

A dissipative quantum system is treated here by coupling it with a heat bath of harmonic oscillators. Through quantum Langevin equations and Ehrenfest's theorem, we establish explicitly the quantum Duffing equations with a double-well…

chao-dyn · Physics 2009-10-30 W. Vincent Liu , William C. Schieve

Numerical problems are considered on general synchronization of chaotic oscillators, through the evaluation of the Lower Bound Error index on two case studies: a Lorenz system unidirectionally coupled to a Duffing system and a Duffing…

Recently Bu and Wang [Chaos, Solitons & Fractals 19 (2004) 919] proposed a simple modulation method aiming to improve the security of chaos-based secure communications against return-map-based attacks. Soon this modulation method was…

Chaotic Dynamics · Physics 2016-08-16 Shujun Li , Gonzalo Álvarez , Guanrong Chen

This paper deals whith the stabilization of any UPO of a chaotic map by modulation of a control parameter. It concentrates on proportional and delayed feedback control methods. Alternative types of these methods are proposed and their…

Dynamical Systems · Mathematics 2016-05-24 Roberta Hansen , Graciela Adriana González

Using the predictor-corrector scheme, the fractional order diffusionless Lorenz system is investigated numerically. The effective chaotic range of the fractional order diffusionless system for variation of the single control parameter is…

Chaotic Dynamics · Physics 2009-07-14 Kehui Sun , J. C. Sprott

This paper analyzes the use of the logistic map for cryptographic applications. The most important characteristics of the logistic map are shown in order to prove the inconvenience of considering this map in the design of new chaotic…

Chaotic Dynamics · Physics 2008-05-29 David Arroyo , Gonzalo Alvarez , Veronica Fernandez

We have introduced a mechanism for synchronizing chaotic systems by one way coupling with a variable delay that is reset at finite intervals. Here we extend this method to time delay systems and suggest a new cryptosystem based on this. We…

Chaotic Dynamics · Physics 2010-07-02 G. Ambika , R. E. Amritkar

The fluctuations and correlations of matrix elements of cross sections are investigated in open systems that are chaotic in the classical limit. The form of the correlation functions is discussed within a statistical analysis and tested in…

Chaotic Dynamics · Physics 2007-08-22 Bruno Eckhardt , Imre Varga , Peter Pollner

We introduce an encryption device based on wave-chaos to enhance the physical security of wireless wave transmission. The proposed encryption device is composed of a compact quasi-2D disordered cavity, where transmit signals pass through to…

Applied Physics · Physics 2021-09-24 Hong Soo Park , Sun K. Hong

We investigate a quantum algorithm which simulates efficiently the quantum kicked rotator model, a system which displays rich physical properties, and enables to study problems of quantum chaos, atomic physics and localization of electrons…

Quantum Physics · Physics 2007-05-23 B. Levi , B. Georgeot , D. L. Shepelyansky

Several recently proposed code-based cryptosystems base their security on a slightly generalized version of the classical (syndrome) decoding problem. Namely, in the so-called restricted (syndrome) decoding problem, the error values stem…

Cryptography and Security · Computer Science 2023-06-09 Marco Baldi , Sebastian Bitzer , Alessio Pavoni , Paolo Santini , Antonia Wachter-Zeh , Violetta Weger

The truly chaotic finite machines introduced by authors in previous research papers are presented here. A state of the art in this discipline, encompassing all previous mathematical investigations, is provided, explaining how finite state…

Cryptography and Security · Computer Science 2017-08-17 Christophe Guyeux , Qianxue Wang , Xiole Fang , Jacques Bahi

In cryptography, block ciphers are the most fundamental elements in many symmetric-key encryption systems. The Cipher Block Chaining, denoted CBC, presents one of the most famous mode of operation that uses a block cipher to provide…

Chaotic Dynamics · Physics 2017-08-11 Abdessalem Abidi , Samar Tawbi , Christophe Guyeux , Belgacem Bouallègue , Mohsen Machhout

We propose a cryptosystem based on matrices over group rings and claim that it is secure against adaptive chosen ciphertext attack.

Cryptography and Security · Computer Science 2014-03-17 Delaram Kahrobaei , Charalambos Koupparis , Vladimir Shpilrain

Parameter space of a driven damped oscillator in a double well potential presents either a chaotic trajectory with sign oscillating amplitude or a non-chaotic trajectory with a fixed sign amplitude. A network of such delay coupled damped…

Chaotic Dynamics · Physics 2015-06-04 Y. Peleg , W. Kinzel , I. Kanter

In this paper we review a number of issues on the security of quantum key distribution (QKD) protocols that bear directly on the relevant physics or mathematical representation of the QKD cryptosystem. It is shown that the cryptosystem…

Quantum Physics · Physics 2014-05-08 Horace P. Yuen

A chaotic system under periodic forcing can develop a periodically visited strange attractor. We discuss simple models in which the phenomenon, quite easy to see in numerical simulations, can be completely studied analytically.

Chaotic Dynamics · Physics 2012-09-19 Giovanni Gallavotti , Guido Gentile , Alessandro Giuliani

The increase in data traffic on the internet has significantly increased the relevance of data and image encryption. Among the techniques most used in cryptography, chaotic systems have received great attention due to their easy…

Cryptography and Security · Computer Science 2020-02-19 R. C. Gonzalez , E. G. Nepomuceno
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