Paper 2020/417 Original: eprint.iacr.org/2020/417 ↗
Optimal strategies for CSIDH
Abstract
Since its proposal in Asiacrypt 2018, the commutative isogeny-based key exchange protocol (CSIDH) has spurred considerable attention to improving its performance and re-evaluating its classical and quantum security guarantees. In this paper we discuss how the optimal strategies employed by the Supersingular Isogeny Diffie-Hellman (SIDH) key agreement protocol can be naturally extended to CSIDH. Furthermore, we report a software library that achieves moderate but noticeable performance speedups when compared against state-of-the-art implementations of CSIDH-512, which is the most popular CSIDH instantiation. We also report an estimated number of field operations for larger instantiations of this protocol, namely, CSIDH-1024 and CSIDH-1792.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2020-08-05: last updated
- 2020-04-13: published
- Short URL
- https://ia.cr/2020/417
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/417,
author = {Jesús-Javier Chi-Domínguez and Francisco Rodríguez-Henríquez},
title = {Optimal strategies for CSIDH},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/417},
year = {2020},
url = {https://eprint.iacr.org/2020/417}
}