A Graham-Sloane Type Construction of Constant Dimension Codes

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.