Paper 2020/262 Original: eprint.iacr.org/2020/262 ↗
A Note on the Ending Elliptic Curve in SIDH
Abstract
It has been suspected that in supersingular isogeny-based cryptosystems the two ending elliptic curves computed by the participants are exactly equal. Resolving this open problem has not been pressing because the elliptic curves are known to be isomorphic, and therefore share a $j$-invariant which can be used as a shared secret. However, this is still an interesting independent problem as other values of the elliptic curves may be valuable as shared information as well. This note answers this open problem in the affirmative.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2020-02-25: last updated
- 2020-02-25: published
- Short URL
- https://ia.cr/2020/262
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/262,
author = {Christopher Leonardi},
title = {A Note on the Ending Elliptic Curve in SIDH},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/262},
year = {2020},
url = {https://eprint.iacr.org/2020/262}
}