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  • © 2018

Network Coding and Subspace Designs

  • 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. Front Matter

    Pages i-xiv
  2. Subspace Codes and Rank Metric Codes

    1. Front Matter

      Pages 1-1
    2. Codes Endowed with the Rank Metric

      • Elisa Gorla, Alberto Ravagnani
      Pages 3-23
    3. Constructions of Constant Dimension Codes

      • Anna-Lena Horlemann-Trautmann, Joachim Rosenthal
      Pages 25-42
    4. Generalizing Subspace Codes to Flag Codes Using Group Actions

      • Dirk Liebhold, Gabriele Nebe, María Ángeles Vázquez-Castro
      Pages 67-89
    5. Multi-shot Network Coding

      • Diego Napp, Filipa Santana
      Pages 91-104
  3. Finite Geometries and Subspace Designs

    1. Front Matter

      Pages 105-105
    2. Geometrical Aspects of Subspace Codes

      • Antonio Cossidente, Francesco Pavese, Leo Storme
      Pages 107-129
    3. Partial Spreads and Vector Space Partitions

      • Thomas Honold, Michael Kiermaier, Sascha Kurz
      Pages 131-170
    4. q-Analogs of Designs: Subspace Designs

      • Michael Braun, Michael Kiermaier, Alfred Wassermann
      Pages 171-211
    5. Computational Methods in Subspace Designs

      • Michael Braun, Michael Kiermaier, Alfred Wassermann
      Pages 213-244
  4. Application of Network Coding

    1. Front Matter

      Pages 245-245
    2. Index Coding, Network Coding and Broadcast with Side-Information

      • Eimear Byrne, Marco Calderini
      Pages 247-293
    3. Implementation of Network Coding in Wireless Systems

      • Semiha Tedik Basaran, Ali Reza Heidarpour, Selahattin Gokceli, Gunes Karabulut Kurt, Murat Uysal, Ibrahim Altunbas
      Pages 295-317
    4. Opportunistic Network Coding

      • Kemal Alic, Ales Svigelj
      Pages 319-338
    5. Coded Random Access

      • Čedomir Stefanović, Dejan Vukobratović
      Pages 339-359
  5. Codes for Distributed Storage Systems

    1. Front Matter

      Pages 361-361
    2. An Overview of Coding for Distributed Storage Systems

      • Shiqiu Liu, Frédérique Oggier
      Pages 363-383
    3. Matroid Theory and Storage Codes: Bounds and Constructions

      • 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.

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access