Paper 2022/353
SNARGs for P from Sub-exponential DDH and QR
James Hulett, Ruta Jawale, Dakshita Khurana, and Akshayaram Srinivasan
Abstract
We obtain publicly verifiable Succinct Non-Interactive Arguments (SNARGs) for arbitrary deterministic computations and bounded space non-deterministic computation from standard group-based assumptions, without relying on pairings. In particular, assuming the sub-exponential hardness of both the Decisional Diffie-Hellman (DDH) and Quadratic Residuosity (QR) assumptions, we obtain the following results, where $n$ denotes the length of the instance: 1. A SNARG for any language that can be decided in non-deterministic time $T$ and space $S$ with communication complexity and verifier runtime $(n + S) \cdot T^{o(1)}$. 2. A SNARG for any language that can be decided in deterministic time $T$ with communication complexity and verifier runtime $n \cdot T^{o(1)}$.
Metadata
- Available format(s)
-
PDF
- Category
- Cryptographic protocols
- Publication info
- A major revision of an IACR publication in EUROCRYPT 2022
- Keywords
- SNARGsFiat-Shamirnon-interactive
- Contact author(s)
-
jhulett2 @ illinois edu
jawale2 @ illinois edu
dakshita @ illinois edu
akshayaram srinivasan @ tifr res in - History
- 2022-03-18: received
- Short URL
- https://ia.cr/2022/353
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2022/353,
author = {James Hulett and Ruta Jawale and Dakshita Khurana and Akshayaram Srinivasan},
title = {{SNARGs} for P from Sub-exponential {DDH} and {QR}},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/353},
year = {2022},
url = {https://eprint.iacr.org/2022/353}
}