Design of Binary Network Codes for Multi-User Multi-Way Relay Networks
The authors explain multi-user multi-way relay networks where N user nodes exchange their information through a single relay node. They use network coding in the relay to increase the throughput. Due to the limitation of complexity, they only consider the binary multi-user network coding (BMNC) in the relay. They explain BMNC matrix (in GF(2)) and propose several design criteria on the BMNC matrix to improve the Symbol Error Probability (SEP) performance. Closed-form expressions of the SEP of the system are provided. Moreover, an upper bound of the SEP is also proposed to provide further insights on system performance. Then BMNC matrices are designed to minimize the error probabilities.