Paper 2009/390 Original: eprint.iacr.org/2009/390 ↗

Short Pairing-based Non-interactive Zero-Knowledge Arguments

Jens Groth
Abstract

We construct non-interactive zero-knowledge arguments for circuit satisfiability with perfect completeness, perfect zero knowledge and computational soundness. The non-interactive zero-knowledge arguments have sublinear size and very efficient public verification. Their size can even be reduced to a constant number of group elements if we allow the common reference string to be large. Our constructions rely on groups with pairings, and security is based on two new cryptographic assumptions; we do not use the Fiat-Shamir heuristic or random oracles.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2026-04-19: last updated
2009-08-15: published
Short URL
https://ia.cr/2009/390
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/390,
      author = {Jens Groth},
      title = {Short Pairing-based Non-interactive Zero-Knowledge Arguments},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/390},
      year = {2009},
      url = {https://eprint.iacr.org/2009/390}
}
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