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This paper presents a symmetric stream cipher that utilizes the dynamic properties of random cubic mappings in the complex plane to generate pseudo-random key streams. The system is based on the iterations of the random cubic polynomial…

Cryptography and Security · Computer Science 2026-03-24 Pouya Mehdipour , Alexandre Miranda Alves , Gerardo Honorato , Mostafa Salarinoghabi

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…

Dynamical Systems · Mathematics 2008-02-20 R. Lozi

In this work, we propose a data-driven image encryption framework that identifies chaotic maps directly from data using the SINDy-PI algorithm. Unlike conventional encryption schemes relying on predefined maps, our method learns the full…

Cryptography and Security · Computer Science 2026-05-26 Wenyuan Li , Xiao-Yun Wang , Zhigang Zhu , Xiaofeng Zhang , Li Zhang

Recently, an image encryption scheme based on a compound chaotic sequence was proposed. In this paper, the security of the scheme is studied and the following problems are found: (1) a differential chosen-plaintext attack can break the…

Cryptography and Security · Computer Science 2009-12-21 Chengqing Li , Shujun Li , Guanrong Chen , Wolfgang A. Halang

Lots of researches indicate that the inefficient generation of random numbers is a significant bottleneck for information communication applications. Therefore, Field Programmable Gate Array (FPGA) is developed to process a scalable…

Cryptography and Security · Computer Science 2016-08-23 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Laurent Larger

This paper studies the security of a chaotic cryptosystem based on the Chua circuit and implemented with State Controlled Cellular Neural Networks. It is shown that the plaintext can be retrieved by ciphertext band-pass filtering after an…

Chaotic Dynamics · Physics 2007-06-21 A. B. Orue , G. Alvarez , F. Montoya , C. Sanchez-Avila

Recently, a novel public key edcryption technique based on multiple chaotic systems has been proposed. The scheme employs m-chaotic systmes and a set of linear functions for key exchange over an insecure channel. The security of the…

Chaotic Dynamics · Physics 2009-11-11 K. wang , W. J. Pei , Z. L. Hua , Z. Y. He

Number-conserving (or {\em conservative}) cellular automata have been used in several contexts, in particular traffic models, where it is natural to think about them as systems of interacting particles. In this article we consider several…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Andres Moreira , Nino Boccara , Eric Goles

In this paper we propose a novel image encryption scheme. The proposed method is based on the chaos theory. Our cryptosystem uses the chaos theory to define a dynamic chaotic Look-Up Table (LUT) to compute the new value of the current pixel…

Cryptography and Security · Computer Science 2016-02-11 Med Karim Abdmouleh , Ali Khalfallah , Med Salim Bouhlel

Recently two encryption schemes were proposed by combining circular bit shift and XOR operations, under the control of a pseudorandom bit sequence (PRBS) generated from a chaotic system. This paper studies the security of these two…

Chaotic Dynamics · Physics 2010-06-23 Chengqing Li , Shujun Li , Gonzalo Álvarez , Guanrong Chen , Kwok-Tung Lo

Cellular automata (CA) are dynamical systems on symbolic configurations on the lattice. They are also used as models of massively parallel computers. As dynamical systems, one would like to understand the effect of small random…

Probability · Mathematics 2019-04-16 Irène Marcovici , Mathieu Sablik , Siamak Taati

Cellular automata (CA) consist of an array of identical cells, each of which may take one of a finite number of possible states. The entire array evolves in discrete time steps by iterating a global evolution G. Further, this global…

Discrete Mathematics · Computer Science 2015-03-18 Pablo Arrighi , Renan Fargetton , Vincent Nesme , Eric Thierry

The probabilistic cellular automaton (PCA) method is highlighted for its relatively simple numerical algorithm and low computational cost in the simulation of microstructural evolution. In this method, probabilistic state change rules are…

Materials Science · Physics 2024-04-23 Majid Seyed-Salehi

In recent years, numerous incidents involving the leakage of website accounts and text passwords (referred to as passwords) have raised significant concerns regarding the potential exposure of personal information. These events underscore…

Cryptography and Security · Computer Science 2026-04-07 Abel C. H. Chen

An equidistribution is a theoretical quality criteria that measures the uniformity of a linear pseudo-random number generator (PRNG). In this work, we first show that all existing linear cellular automaton (CA) based pseudo-random number…

Cryptography and Security · Computer Science 2026-03-23 Bhuvaneswari A , Kamalika Bhattacharjee

A minimalistic model for chimera states is presented. The model is a cellular automaton (CA) which depends on only one adjustable parameter, the range of the nonlocal coupling, and is built from elementary cellular automata and the majority…

Pattern Formation and Solitons · Physics 2016-05-25 Vladimir García-Morales

Chaotic cryptography describes the use of chaos theory (in particular physical dynamical systems working in chaotic regime as part of communication techniques and computation algorithms) to perform different cryptographic tasks in a…

Chaotic Dynamics · Physics 2012-03-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

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…

Cryptography and Security · Computer Science 2021-11-10 João Pedro do Valle Alvarenga , Jeaneth Machicao , Odemir Bruno

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

In this paper, a word based chaotic image encryption scheme for gray images is proposed, that can be used in both synchronous and self-synchronous modes. The encryption scheme operates in a finite field where we have also analyzed its…

Cryptography and Security · Computer Science 2020-04-06 Amir Daneshgar , Behrooz Khadem