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By theoretical analysis, we discuss the performance of random access protocol by network coding in wireless relay networks. We present a novel method to increase the opportunity of network coding in relay node. By using this method, the performance of random access protocol in wireless networks can be improved especially in low traffic load. We compare the performance of this method with network coding method in the system using slotted ALOHA in several metrics including the system throughput, the retransmission number and delay.