[Resource Topic] 2022/1543: Four-Round Black-Box Non-Malleable Commitments from One-Way Permutations

Welcome to the resource topic for 2022/1543

Title:
Four-Round Black-Box Non-Malleable Commitments from One-Way Permutations

Authors: Michele Ciampi, Emmanuela Orsini, Luisa Siniscalchi

Abstract:

We construct the first four-round non-malleable commitment scheme based solely on the black-box use of one-to-one one-way functions. Prior to our work, all non-malleable commitment schemes based on black-box use of polynomial-time cryptographic primitives require more than 16 rounds of interaction.

A key tool for our construction is a proof system that satisfies a new definition of security that we call non-malleable zero-knowledge with respect to commitments. In a nutshell, such a proof system can be safely run in parallel with a (potentially interactive) commitment scheme. We provide an instantiation of this tool using the MPC-in-the-Head approach in combination with BMR.

ePrint: https://eprint.iacr.org/2022/1543

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