Algebraic Codes
Mostrando 1-12 de 19 artigos, teses e dissertações.
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1. Construction of Complex Lattice Codes via Cyclotomic Fields
ABSTRACT Through algebraic number theory and Construction A we extend an algebraic procedure which generates nested complex lattice codes from the polynomial ring F 2 x / x n - 1, where F 2 = 0 , 1, by using ideals from the generalized polynomial ring F 2 x , 1 2 ℤ 0 x 1 2 2 n - 1 through the ring of integers ���� of t
Trends in Computational and Applied Mathematics. Publicado em: 2022
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2. Cotas para a distância mínima de códigos de Goppa envolvendo o piso e o teto de um divisor
Neste trabalho, estudamos os fundamentos da teoria de corpos de funções algébricas, uma introdução à teoria de códigos, cabendo ressaltar neste ponto o estudo de códigos Geométricos de Goppa juntamente com os conceitos de derivação e forma diferencial, e resultados gerais no que diz respeito ao piso e o teto de um divisor. Este trabalho tem por ob
Publicado em: 2011
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3. Algebras equipped with light weight and Goppa codes Bi-Punctual / Álgebras munidas de função peso e códigos de Goppa Bi-Pontuais
The main objective of this text is to present the central result of F. Torres and C. Munuera concerning those algebra with two weight function good behaved being affine coordinate ring of an affine algebraic curve with exactly two place at innity. From this we can conclude that the evaluation codes constructed on this algebra are geometric Goppa codes suppor
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 26/04/2010
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4. Matrizes de conexão para as dinamicas continua e discreta / Connectiion matrices for the continuous and discrete dynamics
The goal of this work is to present the connection matrix by establishing a parallel between the continuous and discrete settings. The homological Conley index, the main element in the definition of the connection matrix, has a diferent form for flows or continuous maps. This index is a graded vector space in the continuous case whereas in the discrete case
Publicado em: 2010
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5. Modelo de sistema de comunicações digital para o mecanismo de importação de proteinas mitocondriais atraves de codigos corretores de erros / Digital communication system model for mitochondrial protein import by use of error-correcting codes
One of the puzzling problems in mathematical biology is to show the existence of any form of error-correcting code in the DNA structure. Using information theory considerations we propose a model for the biological coding system similar to that of a digital communication system. This model consists of a mapper (transformations from the set of nucleotides eit
Publicado em: 2010
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6. Sobre codigos hermitianos generalizados / On generalized hermitian codes
We study Goppa codes (GH codes) based on certain algebraic function fields whose number of rational places is large. These codes generalize the well-known Hermitian codes; thus we might expect that they have good parameters. Bulygin (IEEE Trans. Inform. Theory 52 (10), 46644669 (2006)) initiate the study of GH-codes; while he considered only the even chara
Publicado em: 2008
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7. Encoding geometric Goppa codes via Grobner basis and codes on Norm-Trace curves / Codificação de certos codigos de Goppa geometricos utilizando a teoria de Bases de Grobner e codigos sobre a curva Norma-Traço
We extend results of Heegard, Little and Saints concerning the Gröbner basis algorithm for one-point Hermitian codes. We work with two-point and n-point Hermitian codes and codes arising from the Norm-Trace curve. We also determine the Weierstrass semigroup at a certain pair of rational points in such curves and uses these computations to improve the lower
Publicado em: 2008
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8. Reticulados e codigos / Lattices and codes
We approach here some problems related to minimizing the error probability in signals transmission over Gaussian and Rayleigh channels. Algebraic ideal lattice theory is used to construct rotations of the n-dimensional integer lattice via cyclotomic fields. This construction allows to evaluate the minimum product distance of the lattice, parameter which cont
Publicado em: 2008
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9. Arithmetic fuchsian groups identified in quaternion orders for the construction of signal constellations / Grupos fuchsianos aritmeticos identificados em ordens dos quaternios para construção de constelações de sinais
Within the context of digital communications system in homogeneous space in particular, in hyperbolic spaces, it is necessary to establish systematic procedure for the construction of lattices O ; as the basic entity for construction of eometrically uniforms signal constellations. By this procedure we identify the algebraic and geometric structures to constr
Publicado em: 2007
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10. Algebras with a weight function and one-point AG codes / Algebras munidas de função peso e codigos de Goppa pontuais
O objetivo principal desta dissertação é apresentar o resultado central de R. Matsumoto sobre as álgebras munidas de função peso serem anéis de coordenadas a fim de curvas algébricas com exatamente um lugar de grau um no infinito. A partir disto, pode-se concluir que os códigos de avaliação, introduzidos por Ho/holdt, van Lint e Pellikaan, constru
Publicado em: 2007
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11. Goppa geometry codes via elementary methods / Codigos geometricos de Goppa via metodos elementares
The central objective of this dissertation was to present the Goppa Geometry Codes via elementary methods which were introduced by J. H. van Lint, R. Pellikaan and T. Hfhold about 1998. On the first past of such dissertation are presented the fundamental concepts about fields of rational functions of an algebraic curve in the direction as to define the Goppa
Publicado em: 2006
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12. Modeling and simulation of milk emulsion drying in spray dryers
This work aims at modeling and simulating the drying of whole milk emulsion in spray dryers. Drops and particles make up the discrete phase and are distributed into temporal compartments following their residence time in the dryer. Air is the continuous and well-mixed phase. Mass and energy balances are developed for each phase, taking into account their int
Brazilian Journal of Chemical Engineering. Publicado em: 2005-06