Cryptology ePrint Archive: Report 2020/832

Round-optimal Black-box Commit-and-prove with Succinct Communication

Susumu Kiyoshima

Abstract: We give a four-round black-box construction of a commit-and-prove protocol with succinct communication. Our construction is WI and has constant soundness error, and it can be upgraded into a one that is ZK and has negligible soundness error by relying on a round-preserving transformation of Khurana et al. (TCC 2018). Our construction is obtained by combining the MPC-in-the-head technique of Ishai et al. (SICOMP 2009) with the two-round succinct argument of Kalai et al. (STOC 2014), and the main technical novelty lies in the analysis of the soundness---we show that, although the succinct argument of Kalai et al. does not necessarily provide soundness for NP statements, it can be used in the MPC-in-the-head technique for proving the consistency of committed MPC views. Our construction is based on sub-exponentially hard collision-resistant hash functions, two-round PIRs, and two-round OTs.

Category / Keywords: foundations /

Original Publication (with major differences): IACR-CRYPTO-2020

Date: received 6 Jul 2020

Contact author: susumu kiyoshima at ntt-research com

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Version: 20200707:084145 (All versions of this report)

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