Paper 2024/680

Universal Vector Commitments

Ojaswi Acharya, University of Massachusetts Amherst
Foteini Baldimtsi, George Mason University
Samuel Dov Gordon, George Mason University
Daniel McVicker, George Mason University
Aayush Yadav, George Mason University
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.
Keywords
vector commitmentsuniversal accumulatorscuckoo hashinggeneric constructions
Contact author(s)
ayadav5 @ gmu edu
History
2024-05-06: approved
2024-05-03: received
See all versions
Short URL
https://ia.cr/2024/680
License
Creative Commons Attribution
CC BY

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},
      note = {\url{https://eprint.iacr.org/2024/680}},
      url = {https://eprint.iacr.org/2024/680}
}
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