Paper 2022/153
Faulty isogenies: a new kind of leakage
Gora Adj, Jesús-Javier Chi-Domínguez, Víctor Mateu, and Francisco Rodríguez-Henríquez
Abstract
In SIDH and SIKE protocols, public keys are defined over quadratic extensions of prime fields. We present in this work a projective invariant property characterizing affine Montgomery curves defined over prime fields. We then force a secret 3-isogeny chain to repeatedly pass through a curve defined over a prime field in order to exploit the new property and inject zeros in the A-coefficient of an intermediate curve to successfully recover the isogeny chain one step at a time. Our results introduce a new kind of fault attacks applicable to SIDH and SIKE.
Note: Extended countermeasures: this version coincides with the arXiv version
Metadata
- Available format(s)
-
PDF
- Category
- Implementation
- Publication info
- Preprint. MINOR revision.
- Keywords
- isogeny-based cryptographyfault injection attack
- Contact author(s)
-
gora adj @ gmail com
jesus dominguez @ tii ae
victor mateu @ tii ae
francisco rodriguez @ tii ae - History
- 2022-02-28: revised
- 2022-02-12: received
- See all versions
- Short URL
- https://ia.cr/2022/153
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2022/153,
author = {Gora Adj and Jesús-Javier Chi-Domínguez and Víctor Mateu and Francisco Rodríguez-Henríquez},
title = {Faulty isogenies: a new kind of leakage},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/153},
year = {2022},
url = {https://eprint.iacr.org/2022/153}
}
