“…We consider a three-way relay system where nodes A, B and C are to exchange their information via a relay R as shown in Fig. 1 [15]. For simplicity, in order to present the proposed joint channel decoding and network coding algorithm, without loss of generality, we adopt the node pair selection scheme of [15] which selects nodes A and B to transmit their information first and then B and C to transmit their information second.…”