Isogeny-Based Cryptography

Cryptography from maps between elliptic curves, prized for tiny keys until SIKE's dramatic 2022 collapse.

Core Principles & Analysis

• Offered the smallest key sizes of any post-quantum family.
• SIKE fell to a classical attack exploiting auxiliary torsion points.
• SQIsign survives as a compact isogeny signature candidate.

Specifications & Metrics

• HARD PROBLEM: Isogeny path-finding
• EXAMPLE: SIKE (broken), SQIsign