Paper 2024/680 Original: eprint.iacr.org/2024/680 ↗

Universal Vector Commitments

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.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2024-09-05: last updated
2024-05-03: published
Short URL
https://ia.cr/2024/680
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/680,
      author = {Ojaswi Acharya and Foteini Baldimtsi and Samuel Dov Gordon and Daniel McVicker and Aayush Yadav},
      title = {Universal Vector Commitments},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/680},
      year = {2024},
      url = {https://eprint.iacr.org/2024/680}
}
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