Efficient $(3,3)$-isogenies on fast Kummer surfaces
Cryptography and Security
2024-09-05 v2 Number Theory
Abstract
We give an alternative derivation of -isogenies between fast Kummer surfaces which complements existing works based on the theory oftheta functions. We use this framework to produce explicit formulae for the case of , and show that the resulting algorithms are more efficient than all prior -isogeny algorithms.
Cite
@article{arxiv.2402.01223,
title = {Efficient $(3,3)$-isogenies on fast Kummer surfaces},
author = {Maria Corte-Real Santos and Craig Costello and Benjamin Smith},
journal= {arXiv preprint arXiv:2402.01223},
year = {2024}
}