Signcryption is a novel cryptographic primitive that simultaneously provides the authentication and encryption in a single logic step. In this study, by combining two ID-based signature schemes with a signcryption scheme, we build security model of ID-based signcryption in the multi-PKG and have proposed an ID-based signcryption scheme in the multi-PKG based on the bilinear pairings to adapt to the different crypto graphical system setting. We prove that our proposed scheme is secure and satisfies the confidentiality and unforgeability. The fixed verification computation is needed in our proposed signcrypiton, thus, it is very efficient.
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