Orienting supersingular isogeny graphs
Number Theory
2020-12-22 v1
Abstract
We introduce a category of -orientedsupersingularellipticcurves and derive properties of the associated oriented and nonoriented -isogeny supersingular isogeny graphs. As an application we introduce an oriented super-singular isogeny Diffie-Hellman protocol (OSIDH), analogous to the supersingular isogeny Diffie-Hellman (SIDH) protocol and generalizing the commutative supersingular isogeny Diffie-Hellman (CSIDH) protocol.
Keywords
Cite
@article{arxiv.2012.10803,
title = {Orienting supersingular isogeny graphs},
author = {Leonardo Colò and David Kohel},
journal= {arXiv preprint arXiv:2012.10803},
year = {2020}
}