Improvement of Provably Secure Self-Certified Proxy Convertible Authenticated Encryption Scheme

By integrating self-certified public-key systems and the designated verifier proxy signature with message recovery, Wu and Lin proposed the first self-certified proxy convertible authenticated encryption (SP-CAE) scheme and its variants based on discrete logarithm problem (DLP) in 2009. Though their schemes are claimed provably secure, we demonstrate that their schemes are existentially forgeable under adaptive chosen warrants, unconfidentiable and verifiable under adaptive chosen messages and designated verifiers. Then we propose a provably secure SP-CAE scheme in the random oracle model.