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Cellular automaton (CA) approach is an important theoretical framework for studying complex system behavior and has been widely applied in various research field. CA traffic flow models have the advantage of flexible evolution rules and…

Cellular Automata and Lattice Gases · Physics 2018-10-09 Junfang Tian , Chenqiang Zhu , Rui Jiang

This paper aims at providing a survey on the problems that can be easily addressed by cellular automata in bioinformatics. Some of the authors have proposed algorithms for addressing some problems in bioinformatics but the application of…

Computational Engineering, Finance, and Science · Computer Science 2014-04-03 Pokkuluri Kiran Sree , Inampudi Ramesh Babu , SSSN Usha Devi N

This article surveys some theoretical aspects of Cellular Automata (CAs) research. In particular, we discuss on maximal length CA. An n-cell CA is a maximal length CA, if all the configurations except one form a single cycle. There is a…

Formal Languages and Automata Theory · Computer Science 2024-10-10 Sumit Adak , Sukanta Das

We continue the study of asynchrony immunity in cellular automata (CA), which can be considered as a weaker version of correlation immunity in the context of vectorial Boolean functions. The property could have applications as a…

Cellular Automata and Lattice Gases · Physics 2019-07-23 Luca Mariot , Luca Manzoni , Alberto Dennunzio

The original local, discrete example of Linear Unitary Cellular Automata (LUCA) is analyzed in terms of a new representation previously introduced in [1] for classical CA. Several important underlying symmetries are reviewed and their tight…

Cellular Automata and Lattice Gases · Physics 2016-08-22 T. E. Raptis

Cellular Automata (CA), as they are presented in the literature, are abstract mathematical models of computation. In this pa- per we present an alternate approach: using the CA as a model or theory of physical systems and devices. While…

Discrete Mathematics · Computer Science 2008-09-11 Donny Cheung , Carlos A. Perez-Delgado

Classical Cellular Automata (CCAs) are a powerful computational framework widely used to model complex systems driven by local interactions. Their simplicity lies in the use of a finite set of states and a uniform local rule, yet this…

Cellular Automata and Lattice Gases · Physics 2025-03-20 Enrico Formenti , Faizal Hafiz , Amelia Kunze , Davide La Torre

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

Cellular Automata and Lattice Gases · Physics 2023-08-15 Abhishek Dalai

We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking…

Condensed Matter · Physics 2009-10-31 S. C. Benjamin , N. F. Johnson

Cellular automata with memory (CAM) are widely used in fields such as image processing, pattern recognition, simulation, and cryptography. The invertibility of CAM is generally considered to be chaotic. Paper [Invertible behavior in…

Cellular Automata and Lattice Gases · Physics 2024-06-11 Chen Wang , Xiang Deng , Chao Wang

Lattice gas cellular automata (Lgca) are particular cellular automata that imitate the behavior of par- ticles moving on a lattice. We used a particular set of Lgca rules, called hpp, to mix bits in data blocks and obtain a symmetric…

Cryptography and Security · Computer Science 2013-06-07 Laurent Signac

We propose a chaotic encryption method based on Cellular Automata(CA), specifically on the family called the "Life-Like" type. Thus, the encryption process lying on the pseudo-random numbers generated (PRNG) by each CA's evolution, which…

Dynamical Systems · Mathematics 2011-12-30 Marina Jeaneth Machicao , Anderson G. Marco , Odemir M. Bruno

Cellular Automata (CA) are an interesting computational model for designing Pseudorandom Number Generators (PRNG), due to the complex dynamical behavior they can exhibit depending on the underlying local rule. Most of the CA-based PRNGs…

Cryptography and Security · Computer Science 2022-03-08 Luca Mariot

In this paper we consider the identification problem of Cellular Automata (CAs). The problem is defined and solved in the context of partial observations with time gaps of unknown length, i.e. pre-recorded, partial configurations of the…

Neural and Evolutionary Computing · Computer Science 2015-08-25 Witold Bołt , Jan M. Baetens , Bernard De Baets

Nowadays, using cryptographic systems play an effective role in security and safety technologies. One of the most applied kind of cryptography is Symmetric Cryptography and its applications. New aspects of symmetric Cryptography…

Cryptography and Security · Computer Science 2009-12-08 Amin Daneshmand Malayeri , Jalal Abdollahi

The dynamical system described herein uses a hybrid cellular automata (CA) mechanism to attain reversibility, and this approach is adapted to create a novel block cipher algorithm called HCA. CA are widely used for modeling complex systems…

Cryptography and Security · Computer Science 2023-05-23 Everton R. Lira , Heverton B. de Macêdo , Danielli A. Lima , Leonardo Alt , Gina M. B. Oliveira

Structural properties of two well-known families of keystream generators, Shrinking Generators and Cellular Automata, have been analyzed. Emphasis is on the equivalence of the binary sequences obtained from both kinds of generators. In…

Cryptography and Security · Computer Science 2010-06-10 Amparo Fúster-Sabater , Dolores de la Gu'\ia-Martínez

Reversible Cellular Automata (RCA) are a particular kind of shift-invariant transformations characterized by a dynamics composed only of disjoint cycles. They have many applications in the simulation of physical systems, cryptography and…

Neural and Evolutionary Computing · Computer Science 2021-05-26 Luca Mariot , Stjepan Picek , Domagoj Jakobovic , Alberto Leporati

A new class of linear sequence generators based on cellular automata is here introduced in order to model several nonlinear keystream generators with practical applications in symmetric cryptography. The output sequences are written as…

Cryptography and Security · Computer Science 2010-06-08 P. Caballero-Gil , A. Fúster-Sabater , M. E. Pazo-Robles

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