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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…

Cryptography and Security · Computer Science 2022-08-15 Awnon Bhowmik , Emon Hossain , Mahmudul Hasan

In recent years, information security essential in various arenas like internet communication, multimedia systems, medical imaging, tele-medicine and military communication. However, most of them faced with some problems such as the lack of…

Cryptography and Security · Computer Science 2012-11-02 Sodeif Ahadpour , Yaser Sadra

We show on the example of the Arnold cat map that classical chaotic systems can be simulated with exponential efficiency on a quantum computer. Although classical computer errors grow exponentially with time, the quantum algorithm with…

Quantum Physics · Physics 2016-09-08 B. Georgeot , D. L. Shepelyansky

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…

Cryptography and Security · Computer Science 2016-10-14 Chengqing Li , Tao Xie , Qi Liu , Ge Cheng

This paper reports a detailed cryptanalysis of a recently proposed encryption scheme based on the logistic map. Some problems are emphasized concerning the key space definition and the implementation of the cryptosystem using floating-point…

Chaotic Dynamics · Physics 2009-11-13 David Arroyo , Rhouma Rhouma , Gonzalo Alvarez , Shujun Li , Veronica Fernandez

Fairly recently, a novel image encryption based on Arnold scrambling and Lucas series has been proposed in the literature. The scheme design is based on permutation-substitution operations, where Arnold map is used to permute pixels for…

Cryptography and Security · Computer Science 2020-10-06 Imad El Hanouti , Hakim El Fadili , Khalid Zenkouar

Since the 1990s chaotic cat maps are widely used in data encryption, for their very complicated dynamics within a simple model and desired characteristics related to requirements of cryptography. The number of cat map parameters and the map…

Chaotic Dynamics · Physics 2012-05-16 Yue Wu , Sos Agaian , Joseph P. Noonan

In this paper, we introduce a hybrid chaos map for image encryption method with high sensitivity. This new map is sensitive to small changes in the starting point and also in control parameters which result in having more computational…

Cryptography and Security · Computer Science 2021-11-01 Roghayeh Hosseinzadeh , Yavar Khedmati , Reza Parvaz

This letter proposes using intermittent chaotic clocks, generated from chaotic maps, to drive cryptographic chips running the Advanced Encryption Standard as a countermeasure against Correlation Power Analysis attacks. Five different…

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…

Chaotic Dynamics · Physics 2010-10-22 S. Behnia , A. Akhshani , A. Akhavan , H. Mahmodi

In this paper, a simple and robust color image encryption algorithm based on high-dimensional chaotic maps is proposed. The algorithm employs a 3D Arnold transform to perform inter-component shuffling of plain-image, while a 2D…

Cryptography and Security · Computer Science 2014-03-20 Musheer Ahmad , Hamed D Al-Sharari

Arithmetic Coding (AC) is widely used for the entropy coding of text and video data. It involves recursive partitioning of the range [0,1) in accordance with the relative probabilities of occurrence of the input symbols. A data (image or…

Multimedia · Computer Science 2013-11-14 Gaurav Pande

Security of information has become a major issue during the last decades. New algorithms based on chaotic maps were suggested for protection of different types of multimedia data, especially digital images and videos in this period.…

Chaotic Dynamics · Physics 2010-10-22 Sohrab Behnia , Afshin Akhshani , Amir Akhavan , Hadi Mahmodi

Spatiotemporal chaos of a two-dimensional one-way coupled map lattice is used for chaotic cryptography. The chaotic outputs of many space units are used for encryption simultaneously. This system shows satisfactory cryptographic properties…

Chaotic Dynamics · Physics 2018-01-17 Shihong Wang , Weiping Ye , Huaping Lu , Jinyu Kuang , Jinghua Li , Yunlun Luo , Gang Hu

A discrete dynamical system known as Arnold's Discrete Cat Map (Arnold's DCM) is given by (x_t+1, y_t+1) = (x_t + y_t, x_t + 2y_t) mod N; which acts on a two-dimensional square coordinate grid of size Nx?N. The defining characteristic of…

Dynamical Systems · Mathematics 2016-11-25 Joe Nance

Chaotic maps are very important for establishing chaos-based image encryption systems. This paper introduces a coupling chaotic system based on a certain unit transform, which can combine any two 1D chaotic maps to generate a new one with…

Cryptography and Security · Computer Science 2019-09-19 Guozhen Hu , Baobin Li

This paper investigates the chaotic properties of Arnol'd cat maps (ACMs) coupled on the nodes of a circulant graph. By demanding that the system's evolution matrix be symplectic, we determine the coupling matrix, which is naturally…

Dynamical Systems · Mathematics 2026-05-22 Kimon Manolas , Emmanuel Floratos

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…

Cryptography and Security · Computer Science 2012-02-08 Sodeif Ahadpour , Yaser Sadra , Zahra ArastehFard

This paper focuses on hyperchaotic-map construction and proposes a 3D-Cascading Crossing Coupling framework (3D-CCC), which cascades, crosses, and couples three one-dimensional chaotic maps to form a three-dimensional hyperchaotic system.…

Multimedia · Computer Science 2026-02-26 Jilei Sun , Dianhong Wu

Network coding is known to improve the throughput and the resilience to losses in most network scenarios. In a practical network scenario, however, the accurate modeling of the traffic is often too complex and/or infeasible. The goal is…

Information Theory · Computer Science 2009-08-25 Anoosheh Heidarzadeh , Amir H. Banihashemi
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