A supplement to Liu et al.\u27s certificateless signcryption scheme in the standard model

Abstract

Recently, Liu et al. proposed the first certificateless signcryption scheme without random oracles and proved it was semantically secure in the standard model. However, Selvi et al. launched a fatal attack to its confidentiality by replacing users\u27 public keys, thus pointed out this scheme actually doesn\u27t reach the semantic security as claimed. In this paper, we come up with a rescue scheme based on Liu et al.\u27s original proposal. A Schnorr-based one-time signature is added to each user\u27s public key, which is used to resist Selvi et al.\u27s attack. In addition, according to the mistake made in Liu et al.\u27s security proof, we also show that our improvement is really secure in the standard model under the intractability of the decisional bilinear Diffie-Hellman assumption

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