Two-round secure MPC from Indistinguishability Obfuscation.
Sanjam Garg, Craig Gentry, Shai Halevi, Mariana Raykova · IACR Cryptology ePrint Archive · 2013
One fundamental complexity measure of an MPC protocol is its round complexity. Asharov et al. recently constructed the first three-round protocol for general MPC in the CRS model. Here, we show how to achieve this result with only two rounds. We obtain UC security with abort against static malicious adversaries, and fairness if there is an honest majority. Additionally the communication in our protocol is only proportional to the input and output size of the function being evaluated and independent of its circuit size. Our main tool is indistinguishability obfuscation, for which a candidate construction was recently proposed by Garg et al. The technical tools that we develop in this work also imply virtual black box obfuscation of a new primitive that we call a dynamic point function. This primitive may be of independent interest. The second and third authors were supported by the Intelligence Advanced Research Projects Activity (IARPA) via Department of Interior National Business Center (DoI/NBC) contract number D11PC20202. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright annotation thereon. Disclaimer: The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of IARPA, DoI/NBC, or the U.S. Government.