Authors:
- Presents poset metrics in a clearly structured and systematic way, gathering together results so far only available in a scattered range of papers
- Includes a survey on additional, new generalizations for metrics determined by posets
- Addresses the needs of graduate students and researchers in Mathematics, Electrical Engineering and Computer Sciences
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“For a mathematically mature audience, this advanced monograph compiles and presents poset metrics in a systematic way. Instead of reading many papers, one can study the area all in one place. The book can be useful to mathematically oriented electrical engineering and computer science researchers.” (M. M. Tanik, Computing Reviews, October 17, 2019)
Authors and Affiliations
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IMECC — Department of Mathematics, University of Campinas, Campinas, Brazil
Marcelo Firer, Jerry Anderson Pinheiro
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Polytechnic Center — Department of Mathematics, Federal University of Paraná, Curitiba, Brazil
Marcelo Muniz S. Alves
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Center of Exact Sciences and Engineering, State University of West Paraná, Foz do Iguaçu, Brazil
Luciano Panek
About the authors
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.
Bibliographic Information
Book Title: Poset Codes: Partial Orders, Metrics and Coding Theory
Authors: Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-93821-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
Softcover ISBN: 978-3-319-93820-2Published: 13 November 2018
eBook ISBN: 978-3-319-93821-9Published: 01 November 2018
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: IX, 127
Number of Illustrations: 6 b/w illustrations
Topics: Order, Lattices, Ordered Algebraic Structures, Coding and Information Theory, Convex and Discrete Geometry, Number Theory