Paper 2024/1732 Original: eprint.iacr.org/2024/1732 ↗
Radical 2-isogenies and cryptographic hash functions in dimensions 1, 2 and 3
Abstract
We provide explicit descriptions for radical 2-isogenies in dimensions one, two and three using theta coordinates. These formulas allow us to efficiently navigate in the corresponding isogeny graphs. As an application of this, we implement different versions of the CGL hash func- tion. Notably, the three-dimensional version is fastest, which demonstrates yet another potential of using higher dimensional isogeny graphs in cryptography.
Metadata
- Available format(s)
PDF- Category
- Implementation
- Publication info
- Preprint.
- History
- 2025-03-04: last updated
- 2024-10-22: published
- Short URL
- https://ia.cr/2024/1732
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2024/1732,
author = {Sabrina Kunzweiler and Luciano Maino and Tomoki Moriya and Christophe Petit and Giacomo Pope and Damien Robert and Miha Stopar and Yan Bo Ti},
title = {Radical 2-isogenies and cryptographic hash functions in dimensions 1, 2 and 3},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/1732},
year = {2024},
url = {https://eprint.iacr.org/2024/1732}
}