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Faulty isogenies: a new kind of leakage
February 10, 2022 Β· Declared Dead Β· π IACR Cryptology ePrint Archive
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
Gora Adj, JesΓΊs-Javier Chi-DomΓnguez, VΓctor Mateu, Francisco RodrΓguez-HenrΓquez
arXiv ID
2202.04896
Category
math.NT
Cross-listed
cs.CR
Citations
6
Venue
IACR Cryptology ePrint Archive
Last Checked
4 months ago
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.
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