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The Resource Poset Codes: Partial Orders, Metrics and Coding Theory, by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek, (electronic resource)

Poset Codes: Partial Orders, Metrics and Coding Theory, by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek, (electronic resource)

Creator
Author
Contributor
Summary
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.--
Language
eng
Work
Publication
Extent
1 online resource (IX, 127 pages)
Contents
  • Chapter 01- Introduction
  • Chapter 02- Basic concepts of coding theory
  • Chapter 03- Poset metrics
  • Chapter 04- Hierarquical posets
  • Chapter 05- Disjoint chains with equal length
  • Chapter 06- The general case: Coding invariants
  • Chapter 07- Duality
  • Chapter 08- Generalizations
Isbn
9783319938219
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-93821-9
Instance
Label
Poset Codes: Partial Orders, Metrics and Coding Theory
Title
Poset Codes: Partial Orders, Metrics and Coding Theory
Statement of responsibility
by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek
Creator
Contributor
Author
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Firer, Marcelo
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • S. Alves, Marcelo Muniz
  • Pinheiro, Jerry Anderson
  • Panek, Luciano
Series statement
  • SpringerBriefs in Mathematics,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Algebra
  • Coding theory
  • Discrete groups
  • Number theory
Label
Poset Codes: Partial Orders, Metrics and Coding Theory, by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-93821-9
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Chapter 01- Introduction -- Chapter 02- Basic concepts of coding theory -- Chapter 03- Poset metrics -- Chapter 04- Hierarquical posets -- Chapter 05- Disjoint chains with equal length -- Chapter 06- The general case: Coding invariants -- Chapter 07- Duality -- Chapter 08- Generalizations
Control code
978-3-319-93821-9
Dimensions
unknown
Extent
1 online resource (IX, 127 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319938219
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
6 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1076244838
Label
Poset Codes: Partial Orders, Metrics and Coding Theory, by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-93821-9
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Chapter 01- Introduction -- Chapter 02- Basic concepts of coding theory -- Chapter 03- Poset metrics -- Chapter 04- Hierarquical posets -- Chapter 05- Disjoint chains with equal length -- Chapter 06- The general case: Coding invariants -- Chapter 07- Duality -- Chapter 08- Generalizations
Control code
978-3-319-93821-9
Dimensions
unknown
Extent
1 online resource (IX, 127 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319938219
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
6 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1076244838

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