Questions tagged [isogeny]

Elliptic curve isogenies are structure-preserving maps between elliptic curves which have been proposed as a foundation of post-quantum cryptosystems.

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1 answer
3k views

The death of isogeny-based cryptography?

Wouter Castryck and Thomas Decru recently broke SIDH. From the abstract: We present an efficient key recovery attack on the Supersingular Isogeny Diffie-Hellman protocol (SIDH), based on a "glue-...
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6 votes
3 answers
630 views

Supersingular Isogeny Key Exchange broken?

Found this report detailing a quantum algorithm for computing isogenies between supersingular elliptic curves. https://cacr.uwaterloo.ca/techreports/2014/cacr2014-24.pdf with the quote "...