International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Polynomial IOPs for Linear Algebra Relations

Alan Szepieniec , Nervos Foundation
Yuncong Zhang , Shanghai Jiao Tong University
Search ePrint
Search Google
Presentation: Slides
Conference: PKC 2022
Abstract: This paper proposes new Polynomial IOPs for arithmetic circuits. They rely on the monomial coefficient basis to represent the matrices and vectors arising from the arithmetic constraint satisfaction system, and build on new protocols for establishing the correct computation of linear algebra relations such as matrix-vector products and Hadamard products. Our protocols give rise to concrete proof systems with succinct verification when compiled down with a cryptographic compiler whose role is abstracted away in this paper. Depending only on the compiler, the resulting SNARKs are either transparent or rely on a trusted setup.
Video from PKC 2022
  title={Polynomial IOPs for Linear Algebra Relations},
  author={Alan Szepieniec and Yuncong Zhang},