Title :
A Graham-Sloane Type Construction of Constant Dimension Codes
Author_Institution :
Tsinghua Univ., Shenzhen
Abstract :
Very recently, an operator channel was defined by Koetter and Kschischang when they studied random network coding. They also introduced constant dimension codes and demonstrated that these codes can be employed to correct errors and/or erasures over the operator channel. In this paper, a Graham-Sloane type construction of constant dimension codes is presented. It is shown that the construction for the case of minimum dimension distance 4 exceeds the Gilbert type lower bound for constant dimension codes.
Keywords :
channel coding; Graham-Sloane type construction; constant dimension codes; operator channel; Decoding; Error correction; Error correction codes; Galois fields; Laboratories; Mobile communication; Network coding; Reed-Solomon codes; Upper bound;
Conference_Titel :
Network Coding, Theory and Applications, 2008. NetCod 2008. Fourth Workshop on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-1689-9
DOI :
10.1109/NETCOD.2008.4476190
