Isogeny based cryptography

We introduce Isogeny based cryptography, one of the possible candidates for post-quantum cryptography. People may have heard the SIKE protocol have been broken [CD22], but many other isogeny based cryptosystems, such as the CLG hash function [CGL06] and SQISign [Unknown bib ref: SKLPW20] remains secure against the attack on SIDH. We begin with supersingular isogeny graph and its properties, then we describe several isogeny based cryptosystems.