© 2018

Network Coding and Subspace Designs

  • Marcus Greferath
  • Mario Osvin Pavčević
  • Natalia Silberstein
  • María Ángeles Vázquez-Castro


  • 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 Signals and Communication Technology book series (SCT)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Subspace Codes and Rank Metric Codes

    1. Front Matter
      Pages 1-1
    2. Elisa Gorla, Alberto Ravagnani
      Pages 3-23
    3. Anna-Lena Horlemann-Trautmann, Joachim Rosenthal
      Pages 25-42
    4. Dirk Liebhold, Gabriele Nebe, María Ángeles Vázquez-Castro
      Pages 67-89
    5. Diego Napp, Filipa Santana
      Pages 91-104
  3. Finite Geometries and Subspace Designs

    1. Front Matter
      Pages 105-105
    2. Antonio Cossidente, Francesco Pavese, Leo Storme
      Pages 107-129
    3. Thomas Honold, Michael Kiermaier, Sascha Kurz
      Pages 131-170
    4. Michael Braun, Michael Kiermaier, Alfred Wassermann
      Pages 171-211
    5. Michael Braun, Michael Kiermaier, Alfred Wassermann
      Pages 213-244
  4. Application of Network Coding

    1. Front Matter
      Pages 245-245
    2. Eimear Byrne, Marco Calderini
      Pages 247-293
    3. Semiha Tedik Basaran, Ali Reza Heidarpour, Selahattin Gokceli, Gunes Karabulut Kurt, Murat Uysal, Ibrahim Altunbas
      Pages 295-317
    4. Kemal Alic, Ales Svigelj
      Pages 319-338
    5. Čedomir Stefanović, Dejan Vukobratović
      Pages 339-359
  5. Codes for Distributed Storage Systems

    1. Front Matter
      Pages 361-361
    2. Shiqiu Liu, Frédérique Oggier
      Pages 363-383
    3. Ragnar Freij-Hollanti, Camilla Hollanti, Thomas Westerbäck
      Pages 385-425

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.


Optimal Network Codes Distributed Storage Grassmannian Codes Encoding / Decoding Schemes Cryptosystems Network Coding Security Algebraic Coding Theory Linear / Non-linear Error-correcting Codes Random Network Design Random Network Coding

Editors and affiliations

  • Marcus Greferath
    • 1
  • Mario Osvin Pavčević
    • 2
  • Natalia Silberstein
    • 3
  • María Ángeles Vázquez-Castro
    • 4
  1. 1.Department of Mathematics and Systems AnalysisAalto UniversityEspooFinland
  2. 2.Faculty of Electrical Engineering and Computing, Department of Applied MathematicsUniversity of ZagrebZagrebCroatia
  3. 3.Yahoo ResearchHaifaIsrael
  4. 4.Department of Telecommunications and Systems EngineeringUniversitat Autònoma de BarcelonaCerdanyola del Vallès, BarcelonaSpain

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