Breaking the short certificateless signature scheme

Certificateless cryptography eliminates the need of certificates in the Public Key Infrastructure and solves the inherent key escrow problem in the identity-based cryptography. Recently, Huang et al. proposed two certificateless signature schemes from pairings. They claimed that their first short certificateless signature scheme is provably secure against a normal type I adversary and a super type II adversary. In this paper, we show that their short certificateless signature scheme is broken by a type I adversary who can replace users’ public keys and access to the signing oracle under the replaced public keys.