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TESLA protocol is an efficient message authentication protocol which can be used in wireless network. In some instances, however, there are some shortcomings in muTESLA. In this paper, we modify the original protocol from three aspects which can enhance security and availability. At first, separating the data source and key source, using key server to announce the authentication keys and using base station to announce messages, which can increase the difficulty of attacking. Second, the modified scheme supports the authentication of authenticity of key before the re-initialization of key chain, which can avoid the illusive re-keying message and illusive key. Finally, when a key in a node is invalid, the node can re-synchronize the key with key server. Through these ways, the security and availability of the network is enhanced.