Paper 2020/348
Constructing hidden order groups using genus three Jacobians
Steve Thakur
Abstract
Groups of hidden order have gained a surging interest in recent years due to applications to cryptographic commitments, verifiable delay functions and zero knowledge proofs. Recently, Dobson and Galbraith ([DG20]) proposed Jacobians of genus three hyperelliptic curves as a suitable candidate for such a group. While this looks like a promising idea, certain Jacobians are less secure than others and hence, the curve has to be chosen with caution. In this short note, we explore the types of Jacobians that would be suitable for this purpose.
Note: Comments/corrections/suggestions welcome
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Preprint. MINOR revision.
- Keywords
- Jacobianshyperellipticaccumulatorscommitments
- Contact author(s)
- stevethakur01 @ gmail com
- History
- 2020-05-14: last of 3 revisions
- 2020-03-26: received
- See all versions
- Short URL
- https://ia.cr/2020/348
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2020/348,
author = {Steve Thakur},
title = {Constructing hidden order groups using genus three Jacobians},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/348},
year = {2020},
url = {https://eprint.iacr.org/2020/348}
}
