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Currently, ID-based public key cryptography has got many useful achievements and attracted much attention. Proxy signature scheme enables an original signer to delegate his\her signing capability to a proxy signer to sign messages on behalf of the original signer. In this paper, we will theoretically discuss on the provable security of an ID-based proxy signature scheme. In fact, we analyze the ID-based proxy signature scheme proposed by Mala et al.'s and show that this scheme is secure in the random oracle model. We show that their scheme's security can be reduced to the hardness of CDHP.

Formal Security of an Identity-Based Proxy Signature Scheme in the Random Oracle Model