[Resource Topic] 2019/953: PLONK: Permutations over Lagrange-bases for Oecumenical Noninteractive arguments of Knowledge

Welcome to the resource topic for 2019/953

Title:
PLONK: Permutations over Lagrange-bases for Oecumenical Noninteractive arguments of Knowledge

Authors: Ariel Gabizon, Zachary J. Williamson, and Oana Ciobotaru

Abstract:

zk-SNARK constructions that utilize an updatable universal structured reference string remove one of the main obstacles in deploying zk-SNARKs [GKMMM, Crypto 2018]. The important work of Maller et al. [MBKM, CCS 2019] presented \mathsf{Sonic} - the first potentially practical zk-SNARK with fully succinct verification for general arithmetic circuits with such an SRS. However, the version of \mathsf{Sonic} enabling fully succinct verification still requires relatively high proof construction overheads. We present a universal SNARK construction with fully succinct verification, and significantly lower prover running time (roughly 7.5-20 less group exponentiations than [MBKM] in the fully succinct verifier mode depending on circuit structure). Similarly to [MBKM], we rely on a permutation argument based on Bayer and Groth [Eurocrypt 2012]. However, we focus on ``Evaluations on a subgroup rather than coefficients of monomials’'; which enables simplifying both the permutation argument and the artihmetization step.

ePrint: https://eprint.iacr.org/2019/953

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .