Paper 2013/662
Fine-Tuning Groth-Sahai Proofs
Alex Escala and Jens Groth
Abstract
Groth-Sahai proofs are efficient non-interactive zero-knowledge proofs that have found widespread use in pairing-based cryptography. We propose efficiency improvements of Groth-Sahai proofs in the SXDH setting, which is the one that yields the most efficient non-interactive zero-knowledge proofs. - We replace some of the commitments with ElGamal encryptions, which reduces the prover's computation and for some types of equations reduces the proof size. - Groth-Sahai proofs are zero-knowledge when no public elements are paired to each other. We observe that they are also zero-knowledge when base elements for the groups are paired to public constants. - The prover's computation can be reduced by letting her pick her own common reference string. By giving a proof she has picked a valid common reference string this does not compromise soundness. - We define a type-based commit-and-prove scheme, which allows commitments to be reused in many different proofs.
Metadata
- Available format(s)
-
PDF
- Category
- Cryptographic protocols
- Publication info
- Preprint. MINOR revision.
- Keywords
- Non-interactive zero-knowledge proofscommit-and-prove schemesGroth-Sahai proofstype-based commitments
- Contact author(s)
- Alexandre Escala @ uab cat
- History
- 2013-10-24: received
- Short URL
- https://ia.cr/2013/662
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2013/662,
author = {Alex Escala and Jens Groth},
title = {Fine-Tuning Groth-Sahai Proofs},
howpublished = {Cryptology ePrint Archive, Paper 2013/662},
year = {2013},
note = {\url{https://eprint.iacr.org/2013/662}},
url = {https://eprint.iacr.org/2013/662}
}
