In mathematics, the supersingular isogeny graphs are a class of expander graphs that arise in computational number theory and have been applied in elliptic-curve...

the Diffie–Hellman key exchange, but is based on walks in a supersingular isogeny graph and was designed to resist cryptanalytic attack by an adversary...

supersingular isogeny graphs are Ramanujan, although they tend to have lower girth than the graphs of Lubotzky, Phillips, and Sarnak. Like the graphs...

properties of isogeny graphs of elliptic curves (and higher-dimensional abelian varieties) over finite fields, in particular supersingular isogeny graphs, to create...

Elliptic curve cryptography Elliptic-curve Diffie–Hellman key exchange Supersingular isogeny key exchange Elliptic curve digital signature algorithm EdDSA digital...

coworkers at Microsoft to develop a cryptographic algorithm from supersingular isogeny graphs. She created a HASH function from it and presented it at the...