[Resource Topic] 2021/1357: Two-Round Concurrently Secure Two-Party Computation

Welcome to the resource topic for 2021/1357

Title:
Two-Round Concurrently Secure Two-Party Computation

Authors: Behzad Abdolmaleki, Giulio Malavolta, Ahmadreza Rahimi

Abstract:

In this paper, we study the round complexity of concurrently secure computation protocols in the plain model, without random oracles or assuming the presence of a trusted setup. In the plain model, it is well known that concurrently secure two-party computation with polynomial simulation is impossible to achieve in two rounds. For this reason, we focus on the well-studied notion of security with super-polynomial simulation (SPS). Our main result is the first construction of two-round SPS two-party computation for general functionalities in the plain model. Prior to our work, we only knew three-round constructions [Badrinarayanan et al., TCC 2017] and two-round protocols were not known from any computational assumption. As immediate applications, we establish the feasibility result for a series of cryptographic primitives of interest, such as: Two-round password authentication key exchange (PAKE) in the plain model, two-round concurrent blind signature in the plain model, and two round concurrent computation for quantum circuits (2PQC).

ePrint: https://eprint.iacr.org/2021/1357

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