Cooperative communication with network coding in GF(2n)

In this paper, we propose a multi-users cooperative communication scheme based on the network coding in GF(2n). Through changing the implementation of network coding and designing the proper coding coefficients, this network-coded cooperation in GF(2n) (NCCG) can improve the solvability of decoding set of equations in the receiver effectively and make full use of the advantages taken by network coding. Compared with the cooperation by resending and cooperation based on network coding with XOR operation, the analysis and simulation results indicate that NCCG can yield higher system diversity gain, improve the efficiency of cooperation and the performance of system powerfully.