We present three constructions within our framework. Our first system is proven selectively secure under a assumption that we call the decisional Parallel Bilinear Diffie-Hellman Exponent (PBDHE) assumption which can be viewed as a generalization of the BDHE assumption. Our next two constructions provide performance tradeoffs to achieve provable security respectively under the (weaker) decisional Bilinear-Diffie-Hellman Exponent and decisional Bilinear Diffie-Hellman assumptions.
Category / Keywords: Date: received 27 Jun 2008, last revised 20 Dec 2010 Contact author: bwaters at cs utexas edu Available format(s): PDF | BibTeX Citation Version: 20101220:203013 (All versions of this report) Short URL: ia.cr/2008/290 Discussion forum: Show discussion | Start new discussion