A New Short Signature Scheme with Random Oracle from Bilinear Pairings

In this paper, we propose a new and efficient short signature scheme from the bilinear pairings. Our scheme is constructed by bilinear inverse-square Diffie-Hellman problem (BISDHP) and does not require any special hash function. The exact security proofs are also explained in the random Oracle model. We give the implementation and comparison results of our proposed signature scheme with the signature scheme proposed by Boneh, Lynn, Shacham (BLS) and Zhang, Safavi, Susilo (ZSS). Furthermore, we use this signature scheme to construct a ring signature scheme.