In the world of ZKPs explore polynomial commitments, hash functions, and the evolution from Plonky2 to Plonky3 with Poseidon2.
Abstract This document provides a simple introduction to the current state of development of polynomial commitments and the application of hash functions in zero-knowledge proofs . We conduct a detailed study and comparison of the two generations of Poseidon hash functions used in Plonky2 and Plonky3, and present benchmark results to verify the computational performance of Poseidon2.
New Hash Function for Zero-Knowledge Proof Systems. <https://eprint.iacr.org/2019/458.pdf]. 2019. Alan Szepieniec1 , Tomer Ashur2,3 , and Siemen Dhooghe. Rescue-Prime: a Standard Specification . https://eprint.iacr.org/2020/1143.pdf. 2020. Ulrich Habock, Daniel Lubarov, Jacqueline Nabaglo. Reed-Solomon codes over the circle group. https://eprint.iacr.org/2023/824.pdf. 2023. Alexander Golovnev, Jonathan Lee, Srinath Setty，et al. Brakedown: Linear-time and field-agnostic SNARKs for R1CS.
New Hash Function for Zero-Knowledge Proof Systems. <https://eprint.iacr.org/2019/458.pdf]. 2019. Alan Szepieniec1 , Tomer Ashur2,3 , and Siemen Dhooghe. Rescue-Prime: a Standard Specification . https://eprint.iacr.org/2020/1143.pdf. 2020. Ulrich Habock, Daniel Lubarov, Jacqueline Nabaglo. Reed-Solomon codes over the circle group. https://eprint.iacr.org/2023/824.pdf. 2023. Alexander Golovnev, Jonathan Lee, Srinath Setty，et al. Brakedown: Linear-time and field-agnostic SNARKs for R1CS.
New Hash Function for Zero-Knowledge Proof Systems. <https://eprint.iacr.org/2019/458.pdf] . 2019. <https://eprint.iacr.org/2019/458.pdf] Alan Szepieniec1 , Tomer Ashur2,3 , and Siemen Dhooghe. Rescue-Prime: a Standard Specification . https://eprint.iacr.org/2020/1143.pdf. 2020 . https://eprint.iacr.org/2020/1143.pdf. 2020 https://eprint.iacr.org/2020/1143.pdf. 2020 Ulrich Habock, Daniel Lubarov, Jacqueline Nabaglo. Reed-Solomon codes over the circle group. https://eprint.iacr.
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