Search Results - "Firer, Marcelo"
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1
Quanta matemática escolar é conhecida pelos egressos dos cursos brasileiros de Licenciatura?
Published in Zetetiké (17-09-2021)“…Neste texto, buscamos interpretar o significado do desempenho de estudantes de licenciatura em matemática no ENADE para além dos conceitos divulgados pelo…”
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2
Classification of Niederreiter-Rosenbloom-Tsfasman Block Codes
Published in IEEE transactions on information theory (01-10-2010)“…Poset and block metrics were introduced in recent years as alternative metrics to study error correcting codes. Poset-block codes were introduced in 2008,…”
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3
Oficina Desafio – Challenging creativity
Published in Journal of science communication (01-09-2008)“…Oficina Desafio, Challenge Workshop, is a project of UNICAMP Exploratory Science Museum – the Science Center of the State University of Campinas (Brazil). It…”
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Symmetry groups of Rosenbloom–Tsfasman spaces
Published in Discrete mathematics (06-03-2009)“…Let F q m ⋅ n be the vector space of m ⋅ n -tuples over a finite field F q and P = { 1 , 2 , … , m ⋅ n } a poset that is the finite union of m disjoint chains…”
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5
The Generalized Covering Radii of Linear Codes
Published in IEEE transactions on information theory (01-12-2021)“…Motivated by an application to database linear querying, such as private information-retrieval protocols, we suggest a fundamental property of linear codes-…”
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6
Generalized Column Distances
Published in IEEE transactions on information theory (01-11-2020)“…The notion of Generalized Hamming weights of block codes has been investigated since the nineties due to its significant role in coding theory and…”
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Weights Which Respect Support and NN-Decoding
Published in IEEE transactions on information theory (01-06-2020)“…In this work we explore a family of metrics over a finite field <inline-formula> <tex-math notation="LaTeX">\mathbb {F}_{q} </tex-math></inline-formula> which…”
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Obtaining Binary Perfect Codes Out of Tilings
Published in IEEE transactions on information theory (01-10-2020)“…A tiling of <inline-formula> <tex-math notation="LaTeX">\mathbb {F}_{2}^{n} </tex-math></inline-formula> (considered as a graph) gives rise to a perfect code…”
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9
Metrics Based on Finite Directed Graphs and Coding Invariants
Published in IEEE transactions on information theory (01-04-2018)“…Given a finite directed graph with <inline-formula> <tex-math notation="LaTeX">n </tex-math></inline-formula> vertices, we define a metric <inline-formula>…”
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10
Loterias Esportivas e Códigos
Published in Boletim da Sociedade Paranaense de Matemática (01-11-2005)“…Neste trabalho apresentamos uma análise de alguns aspectos da conhecida Loteria Esportiva utilizando os conceitos básicos da Teoria de Códigos. Corretores de…”
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GRUPOS CRISTALOGRÁFICOS E EMPACOTAMENTOS DE ESFERAS
Published in Revista Brasileira de História da Matemática (01-11-2020)“…O 18º problema proposto por Hilbert no Congresso Internacional de Matemática de 1900 coloca duas questões, dois desafios, a serem enfrentados pela comunidade…”
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12
Characterization of Metrics Induced by Hierarchical Posets
Published in IEEE transactions on information theory (01-06-2017)“…In this paper, we consider metrics determined by hierarchical posets and give explicit formulas for the main parameters of a linear code: the minimum distance…”
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13
Matched Metrics and Channels
Published in IEEE transactions on information theory (01-03-2016)“…The most common decision criteria for decoding are maximum likelihood decoding and nearest neighbor decoding. It is well known that maximum likelihood decoding…”
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14
Combinatorial metrics: MacWilliams-type identities, isometries and extension property
Published in Designs, codes, and cryptography (15-03-2019)“…In this work we characterize the combinatorial metrics admitting a MacWilliams-type identity and describe the group of linear isometries of such metrics…”
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15
A low complexity coding and decoding strategy for the quadratic Gaussian CEO problem
Published in Journal of the Franklin Institute (01-02-2016)“…We consider the quadratic Gaussian CEO problem, where the goal is to estimate a measure based on several Gaussian noisy observations which must be encoded and…”
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16
On Equivalence of Binary Asymmetric Channels Regarding the Maximum Likelihood Decoding
Published in IEEE transactions on information theory (01-05-2018)“…We study the problem of characterizing when two memoryless binary asymmetric channels, described by their transition probabilities <inline-formula> <tex-math…”
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17
The packing radius of a code and partitioning problems: The case for poset metrics on finite vector spaces
Published in Discrete mathematics (06-12-2015)“…Until this work, the packing radius of a poset code was only known in the cases where the poset was a chain, a hierarchy, a union of disjoint chains of the…”
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18
Classification of Poset-Block Spaces Admitting MacWilliams-Type Identity
Published in IEEE transactions on information theory (01-12-2012)“…In this paper, we prove that a poset-block space admits a MacWilliams-type identity if and only if the poset is hierarchical, and at any level of the poset,…”
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19
A distance between channels: the average error of mismatched channels
Published in Designs, codes, and cryptography (15-03-2019)“…Two channels are equivalent if their maximum likelihood (ML) decoders coincide for every code. We show that this equivalence relation partitions the space of…”
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Loterias Esportivas e Códigos
Published in Boletim da Sociedade Paranaense de Matemática (27-06-2009)Get full text
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