On oriented supersingular elliptic curves
Number Theory
2020-11-05 v3
Abstract
We revisit theoretical background on OSIDH, that is an isogeny-based key-exchange protocol proposed by Col\`o and Kohel at NutMiC 2019. We give a proof of a fundamental theorem for OSIDH. The theorem was stated by Col\`o and Kohel without proof. Furthermore, we consider parameters of OSIDH, give a sufficient condition on the parameters that the protocol works, and estimate the size of the parameters for a certain security level.
Cite
@article{arxiv.2002.09894,
title = {On oriented supersingular elliptic curves},
author = {Hiroshi Onuki},
journal= {arXiv preprint arXiv:2002.09894},
year = {2020}
}