Analysis of one strong designated verifier signature scheme is given in this paper. The result shows that the scheme can not satisfy the strongness property required by strong designated verifier signature schemes. Exploiting the flaw existing in Li et al.’s scheme, a forgery attack on the scheme is also given in the same paper. Using this forgery attack, any third party, who even has neither the private key of the signer nor that of the designated verifier, can also generate a valid signature. Based on Cha et al.’ ID-based signature scheme, a novel ID-based strong designated verifier signature scheme is put forward at last, which is much more efficient than existing ID-based strong designated verifier signature schemes and satisfies all the properties required by the strong designated verifier signature schemes. In this paper, it is also proved secure in the random oracle model under the hardness assumption of bilinear Diffie-Hellman problem.
