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In wireless sensor networks (WSNs), key management is the crucial aspect in its secure mechanism. Recently, many research on key management for WSNs are proposed by some predecessors. However, many schemes require the predeployment knowledge to generate keys, which is unrealistic in large-scale and dynamic sensor networks. A new key management scheme is presented, in which keys are generated based on relative node location and a non-negative irregular increasing function. Compared to the present schemes, our scheme reduces the consumption of communication and the influence on WSNs security by compromised nodes. Simulation results demonstrate that our scheme is more security and practical.