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Poset Codes: Partial Orders, Metrics and Coding Theory (SpringerBriefs in Mathematics) book cover by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek
Paperback

Poset Codes: Partial Orders, Metrics and Coding Theory (SpringerBriefs in Mathematics)

by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro and Luciano Panek

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Paperback · 127 pages Springer International Publishing · 2018

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About the book

Poset Codes

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.



Details

Publisher
Springer International Publishing
Authors
Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek
Format
Paperback
Published
Nov 13, 2018
ISBN-13
9783319938202
Pages
127
Printing
Printed on demand
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