Cryptology ePrint Archive: Report 2021/841

MPC for $Q_2$ Access Structures over Rings and Fields

Robin Jadoul and Nigel P. Smart and Barry Van Leeuwen

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 $Z_{p^k}$. 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.

Category / Keywords: cryptographic protocols /

Date: received 21 Jun 2021, last revised 28 Jul 2021

Contact author: robin jadoul at esat kuleuven be, nigel smart at kuleuven be, barry vanleeuwen at kuleuven be

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Version: 20210728:095343 (All versions of this report)

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