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Poset Codes: Partial Orders, Metrics and Coding Theory (SpringerBriefs in Mathematics) - Tapa blanda
Sinopsis
This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric – the most important metric used in the context of coding theory – and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and advances towards coding theory for poset metrics and generalizations. Each chapter includes a survey of the topic presented and a list of exercises, drawn in part from recently proven results. This work will appeal to researchers and graduate students alike, particularly those in the fields of Mathematics, Electrical Engineering and Computer Sciences, with an interest in discrete geometry and coding theory.
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Marcelo Firer holds Bachelor’s (1989) and Master’s (1991) degrees in Mathematics from the University of Campinas (Unicamp), Brazil, and received his PhD in Mathematics from the Hebrew University of Jerusalem (1997), Israel, under the supervision of Dr. Ilya Rips. He is currently a researcher at the Department of Mathematics at Unicamp, where he has worked since 1999. During this period his research focus has shifted from differential geometry and symmetric spaces to discrete geometrical problems in the context of Coding Theory.
Marcelo Muniz S. Alves completed his Bachelor’s (1996), Master’s (1998) and PhD (2002) studies in Mathematics at the University of Campinas (Unicamp), Brazil. In 2002 he joined the Department of Mathematics at the Federal University of Paraná (UFPR), Brazil, where he works as an Associate Professor. His current research is focused on poset codes and, in particular, codes in the Rosenbloom-Tsfasman metric. In addition, he is pursuing research on actions and representations of Hopf algebras.
Jerry Anderson Pinheiro holds a Master’s degree (2011) and a PhD (2016), both in Mathematics, from the University of Campinas (Unicamp), Brazil, (2016), with studies at the University College Dublin, Claude Shannon Institute, Ireland (2013). His research interests lie in combinatorics, coding theory, discrete geometry and information theory.
Luciano Panek is a professor at the State University of West Paraná, Brazil. He received his Bachelor’s and PhD degrees from the State University of Maringá, Brazil, in 2000 and 2012, respectively, both in Mathematics, and his Master’s degree in Mathematics (2003) from the University of Campinas, Brazil. His research fields include error-correcting codes, information theory and discrete mathematics.
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This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, was first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric – the most important metric used in the context of coding theory – and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and advances towards poset proprieties and generalizations. Each chapter includes a survey of the topic presented and a list of exercises, drawn in part from recently proven propositions. This work will appeal to researchers and graduate students alike, particularly those in the fields of Mathematics, Electrical Engineering and Computer Sciences, with an interest in discrete geometry and coding theory.
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Poset Codes: Partial Orders, Metrics and Coding Theory
Librería: Books Puddle, New York, NY, Estados Unidos de America
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Condición: New. pp. IX, 127 6 illus. 1 Edition NO-PA16APR2015-KAP. Nº de ref. del artículo: 26384559784
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Poset Codes: Partial Orders, Metrics and Coding Theory
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Springer International Publishing Nov 2018, 2018
ISBN 10: 3319938207
ISBN 13: 9783319938202
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric - the most important metric used in the context of coding theory - and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and advances towards coding theory for poset metrics and generalizations. Each chapter includes a survey of the topic presented and a list of exercises, drawn in part from recently proven results. This work will appeal to researchers and graduate students alike, particularly those in the fields of Mathematics, Electrical Engineering and Computer Sciences, with an interest in discrete geometry and coding theory. 140 pp. Englisch. Nº de ref. del artículo: 9783319938202
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Poset Codes: Partial Orders, Metrics and Coding Theory
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
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Condición: New. Print on Demand pp. IX, 127 6 illus. Nº de ref. del artículo: 379344247
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Impresión bajo demandaLibrería: Biblios, Frankfurt am main, HESSE, Alemania
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Condición: New. PRINT ON DEMAND pp. IX, 127 6 illus. Nº de ref. del artículo: 18384559778
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Poset Codes: Partial Orders, Metrics and Coding Theory
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Springer International Publishing, 2018
ISBN 10: 3319938207
ISBN 13: 9783319938202
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Librería: moluna, Greven, Alemania
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents poset metrics in a clearly structured and systematic way, gathering together results so far only available in a scattered range of papersIncludes a survey on additional, new generalizations for metrics determined by p. Nº de ref. del artículo: 226364348
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Poset Codes: Partial Orders, Metrics and Coding Theory
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Paperback. Condición: Brand New. 140 pages. 9.25x6.10x0.32 inches. In Stock. Nº de ref. del artículo: 3319938207
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Poset Codes: Partial Orders, Metrics and Coding Theory
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Springer International Publishing, Springer Nature Switzerland Nov 2018, 2018
ISBN 10: 3319938207
ISBN 13: 9783319938202
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric ¿ the most important metric used in the context of coding theory ¿ and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and advances towards coding theory for poset metrics and generalizations. Each chapter includes a survey of the topic presented and a list of exercises, drawn in part from recently proven results. This work will appeal to researchers and graduate students alike, particularly those in the fields of Mathematics, Electrical Engineering and Computer Sciences, with an interest in discrete geometry and coding theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 140 pp. Englisch. Nº de ref. del artículo: 9783319938202
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Poset Codes: Partial Orders, Metrics and Coding Theory
Publicado por
Springer International Publishing, Springer International Publishing, 2018
ISBN 10: 3319938207
ISBN 13: 9783319938202
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric - the most important metric used in the context of coding theory - and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and advances towards coding theory for poset metrics and generalizations. Each chapter includes a survey of the topic presented and a list of exercises, drawn in part from recently proven results. This work will appeal to researchers and graduate students alike, particularly those in the fields of Mathematics, Electrical Engineering and Computer Sciences, with an interest in discrete geometry and coding theory. Nº de ref. del artículo: 9783319938202
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