Title :
Correcting generalized matrix erasures with applications to random network coding
Author :
Gabidulin, Ernst M. ; Bossert, Martin ; Pilipchuk, Nina I.
Author_Institution :
Moscow Inst. of Phys. & Technol.(State Univ.), Russia
Abstract :
Rank-metric codes are widely used in communications and recently in random network coding. In this paper generalized matrix erasures are defined and an algorithm to correct them is described. However, the main result is that we show that for the common channel model in random network coding only erasures, and no random errors have to be corrected.
Keywords :
matrix algebra; random codes; generalized matrix erasure; random network coding; rank-metric code; Decoding; Error correction; Galois fields; Hydrogen; Information theory; Modulation coding; Network coding; Parity check codes; Physics; Vectors;
Conference_Titel :
Source and Channel Coding (SCC), 2010 International ITG Conference on
Conference_Location :
Siegen
Print_ISBN :
978-1-4244-6872-0
Electronic_ISBN :
978-3-8007-3211-1