Paper 2021/808 Original: eprint.iacr.org/2021/808 ↗
SNARGs for $\mathcal{P}$ from LWE
Abstract
We provide the first construction of a succinct non-interactive argument (SNARG) for *all* polynomial time deterministic computations based on standard assumptions. For $T$ steps of computation, the size of the proof and the common random string (CRS) as well as the verification time are poly-logarithmic in $T$. The security of our scheme relies on the hardness of the Learning with Errors (LWE) problem against polynomial-time adversaries. Previously, SNARGs based on standard assumptions could support bounded-depth computations and required sub-exponential hardness assumptions [Jawale-Kalai-Khurana-Zhang, STOC'21]. Along the way, we also provide the first construction of non-interactive batch arguments for $\mathsf{NP}$ based solely on the LWE assumption.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2021-11-08: last updated
- 2021-06-16: published
- Short URL
- https://ia.cr/2021/808
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/808,
author = {Arka Rai Choudhuri and Abhishek Jain and Zhengzhong Jin},
title = {SNARGs for $\mathcal{P}$ from LWE},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/808},
year = {2021},
url = {https://eprint.iacr.org/2021/808}
}