Investigation of the Structure of the Isogeny Graph for Postquantum Cryptography Protocols.

Autor: Kostin, S. O., Aleksandrova, E. B.
Zdroj: Automatic Control & Computer Sciences; Dec2023, Vol. 57 Issue 8, p904-913, 10p
Abstrakt: The isogeny graphs of supersingular curves are one of the promising mathematical structures in postquantum cryptography algorithms. However, the recently reported attack on the SIDH protocol [1] demonstrates that the isogeny graphs require a more detailed investigation when applied to real protocols. In this study, we analyze the structure of the graphs of isogenies of degree and consider the set of vertices of a special type to which an attack on reconstruction of the path in the graph is applicable [7]. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index