Paper 2023/1106 Original: eprint.iacr.org/2023/1106 ↗

ProtoGalaxy: Efficient ProtoStar-style folding of multiple instances

Liam Eagen
Ariel Gabizon
Abstract

We continue the recent line of work on folding schemes. Building on ideas from ProtoStar [BC23] we construct a folding scheme where the recursive verifier's ``marginal work'', beyond linearly combining witness commitments, consists only of a logarithmic number of field operations and a constant number of hashes. Moreover, our folding scheme performs well when \emph{folding multiple instances at one step}, in which case the marginal number of verifier field operations per instance becomes constant, assuming constant degree gates.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2024-01-30: last updated
2023-07-15: published
Short URL
https://ia.cr/2023/1106
License
https://creativecommons.org/publicdomain/zero/1.0/

BibTeX

@misc{cryptoeprint:2023/1106,
      author = {Liam Eagen and Ariel Gabizon},
      title = {ProtoGalaxy:  Efficient ProtoStar-style folding of multiple instances},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1106},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1106}
}
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