MPC for Q(2) Access Structures over Rings and Fields

Abstract

We examine Multi-Party Computation protocols in the active-security-with-abort setting for Q(2) access structures over small and large finite fields F-p and over rings Z(pk). We give general protocols which work for any Q(2) access structure which is realised by a multiplicative Extended Span Program. We generalize a number of techniques and protocols from various papers and compare the different methodologies. In particular we examine the expected communication cost per multiplication gate when the protocols are instantiated with different access structures.