Title :
One family of algebraic codes for network coding
Author :
Bossert, Martin ; Gabidulin, Ernst M.
Author_Institution :
Inst. of Telecommun. & Appl. Inf. Theor.-TAIT, Univ. of Ulm, Ulm, Germany
fDate :
June 28 2009-July 3 2009
Abstract :
The subspace metric is a subject of intensive researche recently. Nevertheless not much is known about codes in this metric in general. In this paper, one class of subspace metric based codes is defined. This class is a generalization of a Koetter-Kshishang-Silva construction, namely, the lifting construction. Also, a quasi-Singleton bound is derived which is tighter than the Koetter-Kschischang bound for large dimensions of subspaces.
Keywords :
algebraic codes; Koetter-Kschischang bound; Koetter-Kshishang-Silva construction; algebraic codes; network coding; quasiSingleton bound; subspace metric codes; Decoding; Encoding; Error correction codes; Galois fields; Information theory; Mathematical model; Network coding; Physics;
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
978-1-4244-4313-0
DOI :
10.1109/ISIT.2009.5205280