Definition ∞ Isogeny graphs are mathematical structures consisting of nodes representing elliptic curves and edges signifying isogenies between them. These graphs are fundamental to certain post-quantum cryptographic schemes, particularly those related to supersingular isogeny Diffie-Hellman key exchange. Their computational properties provide a foundation for public-key cryptography believed to resist attacks from quantum computers. The difficulty of navigating these graphs underpins their security.
Context ∞ The application of isogeny graphs in cryptography is a cutting-edge area, driven by the requirement for quantum-resistant security solutions. Researchers are actively exploring their use in constructing new cryptographic primitives and protocols to protect digital assets and communications against future quantum threats. Current discussions center on the efficiency, security assumptions, and practical implementation difficulties of these advanced mathematical constructs.
Blockchain Knowledge
Cryptocurrency Foundation
Cryptospace Newsfeed
