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It is a challenge to find out suitable cryptography for wireless sensor networks (WSN) due to limitations of power, computation capability and storage resources. Many schemes based on public or symmetric key cryptography are investigated. We propose an identity-based broadcast encryption scheme, which can be used for key distribution or directly broadcasting message. The scheme is also suitable for general kind of networks. We review first identity-based encryption (IBE) and decryption, particularly, the Boneh-Franklin (BF) algorithm. Then we describe a key agreement and encryption scheme based on the Boneh-Franklin algorithms. We discuss the efficiency and security of our scheme by comparing with traditional public key technique and symmetric key technique.