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Network Coding and Subspace Designs

  • Book
  • © 2018

Overview

  • Offers a comprehensive introduction to Network Coding and Designs over GF(q)
  • Provides many mathematical and engineering-type problems
  • Can be used as a reference textbook for advanced courses on coding theory, combinatorics, design theory, networking, or distributed storage

Part of the book series: Signals and Communication Technology (SCT)

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Table of contents (16 chapters)

  1. Subspace Codes and Rank Metric Codes

  2. Finite Geometries and Subspace Designs

  3. Application of Network Coding

  4. Codes for Distributed Storage Systems

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About this book

This book, written by experts from universities and major research laboratories, addresses the hot topic of network coding, a powerful scheme for information transmission in networks that yields near-optimal throughput. It introduces readers to this striking new approach to network coding, in which the network is not simply viewed as a mechanism for delivering packets, but rather an algebraic structure named the subspace, which these packets span. This leads to a new kind of coding theory, employing what are called subspace codes. The book presents selected, highly relevant advanced research output on: Subspace Codes and Rank Metric Codes; Finite Geometries and Subspace Designs; Application of Network Coding; Codes for Distributed Storage Systems. The outcomes reflect research conducted within the framework of the European COST Action IC1104: Random Network Coding and Designs over GF(q). Taken together, they offer communications engineers, R&D engineers, researchers and graduate students in Mathematics, Computer Science, and Electrical Engineering a comprehensive reference guide to the construction of optimal network codes, as well as efficient encoding and decoding schemes for a given network code.

Editors and Affiliations

  • Department of Mathematics and Systems Analysis, Aalto University, Espoo, Finland

    Marcus Greferath

  • Faculty of Electrical Engineering and Computing, Department of Applied Mathematics, University of Zagreb, Zagreb, Croatia

    Mario Osvin Pavčević

  • Yahoo Research, Haifa, Israel

    Natalia Silberstein

  • Department of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, Cerdanyola del Vallès, Barcelona, Spain

    María Ángeles Vázquez-Castro

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