Journal ArticleDOI
Modeling and analyzing finite state automata in the finite field F 2
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TLDR
A method for determining multilinear state space models for general finite state automata is presented and the cyclic structure of the state space is shown to be determined only by the periods of the elementary divisor polynomials of the system dynamics.About:
This article is published in Mathematics and Computers in Simulation.The article was published on 2004-06-29. It has received 13 citations till now. The article focuses on the topics: Quantum finite automata & Automata theory.read more
Citations
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Non-local memory-dependent heat conduction in a magneto-thermoelastic problem
TL;DR: In this article, the non-local behavior during thermal lagging is studied to accommodate the effect of the thermomass for a piezoelastic half-space due to the influence of magnetic field in the nonlocal behavior.
Journal ArticleDOI
Boundary element modeling of fractional nonlinear generalized photothermal stress wave propagation problems in FG anisotropic smart semiconductors
TL;DR: In this article, a boundary element method (BEM) was used to model the fractional nonlinear generalized photo thermal stress wave propagation problems in the context of functionally graded (FG) anisotropic smart semiconductors.
Journal ArticleDOI
Boundary element modeling of 3 T nonlinear transient magneto-thermoviscoelastic wave propagation problems in anisotropic circular cylindrical shells
TL;DR: In this paper, boundary element modeling of three-temperature (3T) nonlinear transient magneto-thermoviscoelastic wave propagation problems in anisotropic circular cylindrical shells under the effects of electron, ion, phonon, and total temperatures was introduced.
Journal ArticleDOI
Boundary Element Modeling for Simulation and Optimization of Three-Temperature Anisotropic Micropolar Magneto-thermoviscoelastic Problems in Porous Smart Structures Using NURBS and Genetic Algorithm
M. A. Fahmy,M. A. Fahmy,S. Shaw,S. Mondal,A. E. Abouelregal,Kh. Lotfy,Kh. Lotfy,I. A. Kudinov,A. H. Soliman +8 more
TL;DR: In this paper, a boundary element modeling technique for simulation and optimization of three-temperature micropolar magneto-thermoviscoelastic problems in anisotropic porous smart structures, where the GA algorithm was implemented as a method of optimization based on the free form deformation (FFD) methodology to improve the performance of the proposed technique.
Journal ArticleDOI
Linear Systems over Finite Fields – Modeling, Analysis, and Synthesis
TL;DR: Das Zustandsübergangsverhalten autonomer linearer Systeme über einem beliebigen endlichen Körper behandelt wird sich auf die reichhaltige Theorie linearer Schaltkreise der 60erJahre zurückgreifen verzeichnet.
References
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MonographDOI
Introduction to finite fields and their applications
Rudolf Lidl,Harald Niederreiter +1 more
TL;DR: An introduction to the theory of finite fields, with emphasis on those aspects that are relevant for applications, especially information theory, algebraic coding theory and cryptology and a chapter on applications within mathematics, such as finite geometries.
Book
Coding Theory and Cryptography: The Essentials
D.C. Hankerson,Gary Hoffman,D.A. Leonard,Charles C. Lindner,Kevin T. Phelps,Christopher A. Rodger,J.R. Wall +6 more
TL;DR: Appendices: the Euclidean algorithm factorization of 1 + xn example of compact disc encoding solutions to selected exercises of classicalcryptography topics in algebra and number theory public-key cryptography.
Journal ArticleDOI
Cycle analysis for deterministic finite state automata
TL;DR: The multilinear case is reduced to the affine-linear case by application of a linearizing constant state feedback and a linear state space embedding.
Journal ArticleDOI
Review of Coding theory and cryptography: the essentials, second edition, revised and expanded by D.R. Hankerson, et al. Marcel Dekker, 2000.
TL;DR: The models that will be examined in this text, the assumptions being made with respective to these models and the limitations (if any) that they may have are stated.
Related Papers (5)
A Finite Field Framework for Modeling, Analysis and Control of Finite State Automata
Constructing finite automata with invertibility by transformation method
Renji Tao,Shihua Chen +1 more