Realizing Hash-and-Sign Signatures under Standard Assumptions [chapter]

Susan Hohenberger, Brent Waters
<span title="">2009</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Currently, there are relatively few instances of "hash-andsign" signatures in the standard model. Moreover, most current instances rely on strong and less studied assumptions such as the Strong RSA and q-Strong Diffie-Hellman assumptions. In this paper, we present a new approach for realizing hash-and-sign signatures in the standard model. In our approach, a signer associates each signature with an index i that represents how many signatures that signer has issued up to that point. Then, to
more &raquo; ... use of this association, we create simple and efficient techniques that restrict an adversary which makes q signature requests to forge on an index no greater than 2 lg(q) < 2q. Finally, we develop methods for dealing with this restricted adversary. Our approach requires that a signer maintains a small amount of state -a counter of the number of signatures issued. We achieve two new realizations for hashand-sign signatures respectively based on the RSA assumption and the Computational Diffie-Hellman assumption in bilinear groups.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1007/978-3-642-01001-9_19</a> <a target="_blank" rel="external noopener" href="">fatcat:rt6g6wn5rvgcnorik7xqtqb3fm</a> </span>
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