SIDH key recovery
Recover a secret isogeny using a SIDH public key, including its auxiliary torsion-point images.
Classical · polynomial time
SIDH key recovery including a random starting curve
Results
| # | PUBLICATION / AUTHORS | DATE | TIME BOUND | SPACE BOUND | EVIDENCE |
|---|---|---|---|---|---|
| — | Breaking SIDH in polynomial timeEurocrypt 2023SourceBibTeX / details | 10 Aug 2022 | Polynomial in the input size | Not stated in the checked source | PublishedSource checked |
Comparison definition & assumptions
- Regime
- SIDH key recovery including a random starting curve
- Computation
- Classical
- Rigor
- Provable
- Instances
- SIDH public auxiliary torsion images
- Cost scale
- Polynomial in input size
- Parameter
- log p
- Description
- SIDH key recovery including a random starting curve
- Comparison rules
- Structural breaks are displayed by their full complexity class rather than a scalar exponent. Auxiliary torsion images are essential, and this does not solve unrestricted supersingular isogeny search in polynomial time.
- Tags
- SIDH, auxiliary torsion, polynomial time