In wireless network

the sender performs retransmission mechanism when data packet is not correctly received by the receiver. The transmission efficiency of traditional ARQ retransmission mechanisms is relatively low because only one lost packet is sent in the retransmission procedure. By using of network coding and AQR retransmission mechanism

a sender can broadcast an encode packet which is combined by numbers of lost packet in the retransmission

thus the efficiency of retransmission can improve effectively. In this paper

we propose an algorithms RMBNC which can be applied to multiple senders multiple recipients in a wireless network

theoretical analysis and simulation verify the effectiveness of the proposed algorithm.