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...
6 KB (649 words) - 08:25, 18 June 2023
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...
25 KB (3,699 words) - 00:30, 30 December 2023
supersingular isogeny graphs are Ramanujan, although they tend to have lower girth than the graphs of Lubotzky, Phillips, and Sarnak. Like the graphs...
19 KB (2,689 words) - 01:42, 4 January 2024
properties of isogeny graphs of elliptic curves (and higher-dimensional abelian varieties) over finite fields, in particular supersingular isogeny graphs, to create...
62 KB (6,467 words) - 07:58, 19 November 2024
2-dimensional Isogenies". Cryptology ePrint Archive. Retrieved 2024-11-15. Page, Aurel; Wesolowski, Benjamin (2023). "The supersingular Endomorphism Ring...
6 KB (515 words) - 09:00, 21 November 2024
Elliptic curve (section The Dual Isogeny)
cryptography Elliptic-curve Diffie–Hellman key exchange (ECDH) Supersingular isogeny key exchange Elliptic curve digital signature algorithm (ECDSA)...
54 KB (8,404 words) - 02:08, 12 November 2024
coworkers at Microsoft to develop a cryptographic algorithm from supersingular isogeny graphs. She created a HASH function from it and presented it at the...
12 KB (1,024 words) - 22:32, 16 July 2024