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Recently, a chaos-based image encryption algorithm called MCKBA (Modified Chaotic-Key Based Algorithm) was proposed. This paper analyzes the security of MCKBA and finds that it can be broken with a differential attack, which requires only…

Cryptography and Security · Computer Science 2016-10-04 Chengqing Li , Michael Z. Q. Chen , Kwok-Tung Lo

Two different kinds of synchronization have been applied to cryptography: Synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the…

Statistical Mechanics · Physics 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on…

Chaotic Dynamics · Physics 2009-11-07 Govindan Rangarajan , Mingzhou Ding

In this review, a model (the Random Coupling Model) that gives a statistical description of the coupling of radiation into and out of large enclosures through localized and/or distributed channels is presented. The Random Coupling Model…

Chaotic Dynamics · Physics 2013-03-27 Gabriele Gradoni , Jen-Hao Yeh , Bo Xiao , Thomas M. Antonsen , Steven M. Anlage , Edward Ott

The security of Fridrich Image Encryption Algorithm against brute-force attack, statistical attack, known-plaintext attack and select-plaintext attack is analyzed by investigating the properties of the involved chaotic maps and diffusion…

Multimedia · Computer Science 2007-05-23 Shiguo Lian , Jinsheng Sun , Zhiquan Wang

Recently, a colour image encryption algorithm based on chaos was proposed by cascading two position permutation operations and one substitution operation, which are all determined by some pseudo-random number sequences generated by…

Cryptography and Security · Computer Science 2012-03-27 Chengqing Li , Yu Zhang , Rong Ou , Kwok-Wo Wong

Fairly recently, a new encryption scheme for embedded systems based on continuous third-order hyperbolic sine chaotic system was proposed by Z. Lin et al. The cryptosystem's main objective is to provide a faster algorithm with lowest…

Cryptography and Security · Computer Science 2021-06-21 Imad El Hanouti , Hakim El Fadili , Khalid Zenkouar

A dynamic SBox using a chaotic map is a cryptography technique that changes the SBox during encryption based on iterations of a chaotic map, adding an extra layer of confusion and security to symmetric encryption algorithms like AES. The…

Cryptography and Security · Computer Science 2023-10-11 Kashif Ishaq , Khwaja Ahmad Hassan , Yahya Tauqeer Bhatti

Line map, an invertible, two-dimensional chaotic encryption algorithm was introduced recently. In this paper, we propose several weaknesses of the method based on standard cryptanalytic attacks. We perform a side-channel attack by observing…

Chaotic Dynamics · Physics 2008-01-12 Nikhil Balaji , Nithin Nagaraj

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

A method for the semiclassical quantization of chaotic maps is proposed, which is based on harmonic inversion. The power of the technique is demonstrated for the baker's map as a prototype example of a chaotic map.

Chaotic Dynamics · Physics 2009-11-07 K. Weibert , J. Main , G. Wunner

Recently an image encryption scheme based on a chaotic Tent map has been proposed by Li et al. This comment shows that this scheme is broken and no secure application can be found for it.

Cryptography and Security · Computer Science 2016-11-03 Alireza Jolfaei

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

Information Theory · Computer Science 2023-12-11 Zekeriya Sarı , Serkan Günel

While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved…

Signal Processing · Electrical Eng. & Systems 2022-10-14 Thomas L. Carroll

The combinative applications of one-way coupled map lattice (OCML) and some simple algebraic operations have demonstrated to be able to construct the best known chaotic cryptosystem with high practical security, fast encryption speed, and…

Chaotic Dynamics · Physics 2007-05-23 Jiantao Zhou , Wenjiang Pei , Jie Huang , Aiguo Song , Zhenya He

Chaotic synchronization performs poorly in noisy environments, with the main drawback being that the coherent receiver cannot be implemented in realistic communication channels. In this paper, we focus our study on a promising communication…

Information Theory · Computer Science 2013-02-18 Georges Kaddoum , Francois Gagnon , Denis Couillard

The phenomena of synchronization and nontrivial collective behavior are studied in a model of coupled chaotic maps with random global coupling. The mean field of the system is coupled to a fraction of elements randomly chosen at any given…

Chaotic Dynamics · Physics 2009-11-11 O. Alvarez-Llamoza , K. Tucci , M. G. Cosenza , M. Pineda

This paper describes the security weaknesses of a recently proposed secure communication method based on chaotic masking using projective synchronization of two chaotic systems. We show that the system is insecure and how to break it in two…

Chaotic Dynamics · Physics 2007-10-23 Gonzalo Alvarez , Shujun Li , F. Montoya , M. Romera , G. Pastor

In this paper, we approximate the hidden Markov model of chaotic-map truly random number generators (TRNGs) and describe its fundamental limits based on the approximate entropy-rate of the underlying bit-generation process. We demonstrate…

Information Theory · Computer Science 2013-03-04 Ahmad Beirami , Hamid Nejati

We discuss two properties making a deterministic algorithm suitable to generate a pseudo random sequence of numbers: high value of Kolmogorov-Sinai entropy and high-dimensionality. We propose the multi dimensional Anosov symplectic (cat)…

Chaotic Dynamics · Physics 2009-11-11 Massimo Falcioni , Luigi Palatella , Simone Pigolotti , Angelo Vulpiani