Isogeny-Based Cryptography
SIDH/SIKE, CSIDH, and supersingular isogeny graphs.
Isogeny-Based Cryptography. SIDH/SIKE, CSIDH, and supersingular isogeny graphs.
Recent technical contributions
A handful of recent papers carry the methodological frontier of isogeny-based cryptography forward. Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies (Jao et al., 2011) is a primary reference for this area and develops new techniques or results that downstream work builds on. An efficient key recovery attack on SIDH (Castryck et al., 2023) pushes the technical state of the art and is widely cited in subsequent work on the topic.
Open methodological questions for isogeny-based cryptography include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- paper · primary · 2011jao-2011, defeo-2011
-
In context
Where this topic sits in the prerequisite graph. Click any node to jump.
Review this topic
This page was drafted by an agent and is waiting on expert review. Spotted a wrong prerequisite, a missing concept, a misattributed source, or a factual slip? Tell us — your review opens a tracked issue maintainers act on.