Research of attack on short designated verifier signature and its new construction

The concept of strong designated verifier signature was proposed by Jakobsson in 1996. The signature only permits the designated verifier to verify its correction, while any other parties cannot verifier it and do not trust authenticity of the signature from the designated verifier. The reason why they don´t trust it is that the designated verifier can create an indistinguishable signature for all the third parties. A short strong designated verifier signature scheme was proposed by Huang, while it didn´t satisfy the property of non-delegatability. In our paper, we re-produce the signature so that it can possess non-delegatability property.