Mathematics of Post-Quantum Elliptic Curve Cryptography

In this paper, we give a brief survey of elliptic curve isogenies and hard problem candidates related to supersingular isogeny crypto. There are no quantum attacks known against supersingular isogeny cryptography that are significantly faster than classical attacks.

Keywords:

Cryptography , Elliptic curves , Isogeny , Post-quantum cryptography , Supersingular elliptic curves