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According to actual needs, generalized signcryption scheme can flexibly work as an encryption scheme, a signature scheme or a signcryption scheme. In this paper, firstly, the authors give a security model for identity based generalized signcryption which is more complete than existing model. Secondly, they propose an identity based generalized signcryption scheme. Thirdly, they give the security proof of the new scheme in this complete model. Comparing with existing identity based generalized signcryption, the new scheme has less implementation complexity. Moreover, the new scheme has comparable computation complexity with the existing normal signcryption schemes.
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