A novel identity-based strong designated verifier signature scheme

Unlike ordinary digital signatures, a designated verifier signature scheme makes it possible for a signer to convince a designated verifier that she has signed a message in such a way that the designated verifier cannot transfer the signature to a third party. In a strong designated verifier signature scheme, no third party can even verify the validity of a designated verifier signature, since the designated verifier's private key is required in the verifying phase. Firstly, this paper proposes the model of identity-based strong designated verifier signature scheme based on bilinear pairings by combining identity-based cryptosystem with the designated verifier signature scheme, and then, provides one concrete strong identity-based designated verifier signature scheme, which has short size of signature, low communication and computational cost. We provide security proofs for our scheme.