Identity-based strong designated verifier signature schemes

In this paper, we propose an identity based strong designated verifier signature scheme. Firstly, we provide a generic construction of such schemes. We show that the generic construction satisfies all the requirements of identity based strong designated verifier signature schemes. However, the resulting scheme will not be very efficient, since it requires an additional identity based encryption scheme. Then, we proceed with a specially designed identity based strong designated verifier signature scheme, which has low communication and computational cost. We provide complete security proofs for our schemes.