Poset Codes: Partial Orders, Metrics and Coding Theory

• Main Authors: Firer, Marcelo (Author, http://id.loc.gov/vocabulary/relators/aut), S. Alves, Marcelo Muniz (http://id.loc.gov/vocabulary/relators/aut), Pinheiro, Jerry Anderson (http://id.loc.gov/vocabulary/relators/aut), Panek, Luciano (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Algebra.; Ordered algebraic structures.; Coding theory.; Information theory.; Convex geometry .; Discrete geometry.; Number theory.; Order, Lattices, Ordered Algebraic Structures.; Coding and Information Theory.; Convex and Discrete Geometry.; Number Theory.

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...

Table of 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.