Network Oblivious Transfer and Infrastructure for Secure Multiparty Computation

Adam Sealfon, Massachusetts Institute of Technology

Motivated by the goal of improving the concrete efficiency of secure multiparty computation (MPC), we study the possibility of implementing an infrastructure for MPC. We propose an infrastructure based on oblivious transfer (OT) that would consist of OT channels between some pairs of parties in the network. We devise information-theoretically secure protocols that allow additional pairs of parties to establish secure OT correlations using the help of other parties in the network in the presence of a dishonest majority. Our main technical contribution is an upper bound that matches a lower bound of Harnik, Ishai and Kushilevitz (2007), who studied the number of OT channels necessary and sufficient for MPC. In particular, we characterize which n-party OT networks G allow t-secure computation of OT correlations between all pairs of parties, showing that this is possible if and only if the complement of G does not contain the complete bipartite graph K_{n-t,n-t} as a subgraph.

Abstract Author(s): R. Kumaresan, S. Raghuraman, A. Sealfon