Algebraic codes for network coding

  • Authors:
  • E. M. Gabidulin;M. Bossert

  • Affiliations:
  • Moscow Institute of Physics and Technology (State University), Moscow, Russia;Ulm University, Ulm, Germany

  • Venue:
  • Problems of Information Transmission
  • Year:
  • 2009

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Abstract

The subspace metric is an object of active research in network coding. Nevertheless, little is known on codes over this metric. In the present paper, several classes of codes over subspace metric are defined and investigated, including codes with distance 2, codes with the maximal distance, and constant-distance constant-dimension codes. Also, Gilbert-type bounds are presented.