[Resource Topic] 2024/680: Universal Vector Commitments

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Title:
Universal Vector Commitments

Authors: Ojaswi Acharya, Foteini Baldimtsi, Samuel Dov Gordon, Daniel McVicker, Aayush Yadav

Abstract:

We propose a new notion of vector commitment schemes with proofs of (non-)membership that we call universal vector commitments. We show how to build them directly from (i) Merkle commitments, and (ii) a universal accumulator and a plain vector commitment scheme. We also present a generic construction for universal accumulators over large domains from any vector commitment scheme, using cuckoo hashing. Leveraging the aforementioned generic constructions, we show that universal vector commitment schemes are implied by plain vector commitments and cuckoo hashing.

ePrint: https://eprint.iacr.org/2024/680

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