Paper 2019/1290 Original: eprint.iacr.org/2019/1290 ↗
Trapdoor DDH groups from pairings and isogenies
Abstract
Trapdoor DDH groups are an appealing cryptographic primitive where DDH instances are hard to solve unless provided with additional information (i.e., a trapdoor). In this paper, we introduce a new trapdoor DDH group construction using pairings and isogenies of supersingular elliptic curves. The construction solves all shortcomings of previous constructions as identified by Seurin (RSA 2013). We also present partial attacks on a previous construction due to Dent--Galbraith, and we provide a formal security definition of the related notion of ``trapdoor pairings''.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2020-11-27: last updated
- 2019-11-07: published
- Short URL
- https://ia.cr/2019/1290
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2019/1290,
author = {Péter Kutas and Christophe Petit and Javier Silva},
title = {Trapdoor DDH groups from pairings and isogenies},
howpublished = {Cryptology {ePrint} Archive, Paper 2019/1290},
year = {2019},
url = {https://eprint.iacr.org/2019/1290}
}