Abstract:Certificateless hybrid signcryption can handle messages of arbitrary length while the conventional certificateless signcryption cannot. This paper demonstrates that the attacks presented by Selvi, et al., do not hold, and proposes a new certificateless hybrid signcryption scheme, which outperforms all the existing schemes on both bandwidth usage and computation efficiency. Hence, this scheme is more suitable for the applications with a narrow bandwidth and limited computation resources such as ad hoc networks. This scheme has been proven to be secure in the random oracle model, under the bilinear Diffie-Hellman assumption.