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Constant-Size zk-SNARKs in ROM from Falsifiable Assumptions

Authors:
Helger Lipmaa , University of Tartu
Roberto Parisella , Simula UiB
Janno Siim , Simula UiB
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Presentation: Slides
Conference: EUROCRYPT 2024
Abstract: We prove that the seminal KZG polynomial commitment scheme (PCS) is black-box extractable under a simple falsifiable assumption ARSDH. To create an interactive argument, we construct a compiler that combines a black-box extractable non-interactive PCS and a polynomial IOP (PIOP). The compiler incurs a minor cost per every committed polynomial. Applying the Fiat-Shamir transformation, we obtain slightly less efficient variants of well-known PIOP-based zk-SNARKs, such as Plonk, that are knowledge-sound in the ROM under the ARSDH assumption. Importantly, there is no need for idealized group models or knowledge assumptions. This results in the first known zk-SNARKs in the ROM from falsifiable assumptions with both an efficient prover and constant-size argument.
BibTeX
@inproceedings{eurocrypt-2024-33882,
  title={Constant-Size zk-SNARKs in ROM from Falsifiable Assumptions},
  publisher={Springer-Verlag},
  author={Helger Lipmaa and Roberto Parisella and Janno Siim},
  year=2024
}