International Association for Cryptologic Research

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Succinct Arguments over Towers of Binary Fields

Authors:
Benjamin E. Diamond , Irreducible
Jim Posen , Irreducible
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Conference: EUROCRYPT 2025
Abstract: We introduce an efficient SNARK for towers of binary fields. Adapting Brakedown (CRYPTO '23), we construct a multilinear polynomial commitment scheme suitable for polynomials over tiny fields, including that with just two elements. Our commitment scheme, unlike those of previous works, treats small-field polynomials with no embedding overhead. We further introduce binary-field adaptations of HyperPlonk (EUROCRYPT '23)'s product and permutation checks and of Lasso (EUROCRYPT '24)'s lookup. Our binary PLONKish variant captures standard hash functions—like Keccak-256 and Grøstl—extremely efficiently. With recourse to thorough performance benchmarks, we argue that our scheme can efficiently generate precisely those Keccak-256-proofs which critically underlie modern efforts to scale Ethereum.
BibTeX
@inproceedings{eurocrypt-2025-34970,
  title={Succinct Arguments over Towers of Binary Fields},
  publisher={Springer-Verlag},
  author={Benjamin E. Diamond and Jim Posen},
  year=2025
}