RapidUp: Multi-Domain Permutation Protocol for Lookup Tables

Héctor Masip Ardevol; Jordi Baylina Melé; Daniel Lubarov; José L. Muñoz-Tapia

Paper 2022/1050

RapidUp: Multi-Domain Permutation Protocol for Lookup Tables

Héctor Masip Ardevol

, Universitat Politècnica de Catalunya

Jordi Baylina Melé, Polygon Hermez

Daniel Lubarov, Mir Protocol

José L. Muñoz-Tapia

, Universitat Politècnica de Catalunya

Abstract

SNARKs for some standard cryptographic primitives tend to be plenty designed with SNARK-unfriendly operations such as XOR. Previous protocols such as [GW20] worked around this problem by the introduction of lookup arguments. However, these protocols were only appliable over the same circuit. RapidUp is a protocol that solves this limitation by unfolding the grand-product polynomial into two (equivalent) polynomials of the same size. Morevoer, a generalization of previous protocols is presented by the introduction of selectors.

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Preprint.
Keywords: lookup tables permutation SNARK protocol
Contact author(s): hector masip @ upc edu
jordi @ baylina cat
daniel @ lubarov com
jose luis munoz @ upc edu
History: 2022-09-19: last of 2 revisions; 2022-08-13: received; See all versions
Short URL: https://ia.cr/2022/1050
License: CC BY

BibTeX

@misc{cryptoeprint:2022/1050,
      author = {Héctor Masip Ardevol and Jordi Baylina Melé and Daniel Lubarov and José L. Muñoz-Tapia},
      title = {RapidUp: Multi-Domain Permutation Protocol for Lookup Tables},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1050},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/1050}},
      url = {https://eprint.iacr.org/2022/1050}
}