Paper 2024/144 Original: eprint.iacr.org/2024/144 ↗
Efficient (3,3)-isogenies on fast Kummer surfaces
Abstract
We give an alternative derivation of (N,N)-isogenies between fast Kummer surfaces which complements existing works based on the theory of theta functions. We use this framework to produce explicit formulae for the case of N = 3, and show that the resulting algorithms are more efficient than all prior (3,3)-isogeny algorithms.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2024-09-05: last updated
- 2024-02-01: published
- Short URL
- https://ia.cr/2024/144
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2024/144,
author = {Maria Corte-Real Santos and Craig Costello and Benjamin Smith},
title = {Efficient (3,3)-isogenies on fast Kummer surfaces},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/144},
year = {2024},
url = {https://eprint.iacr.org/2024/144}
}