Zero-Knowledge Proofs for SIDH variants with Masked Degree or Torsion

ePrint Report: Zero-Knowledge Proofs for SIDH variants with Masked Degree or Torsion

Youcef Mokrani, David Jao

The polynomial attacks on SIDH by Castryck, Decru, Maino, Martindale and Robert have shown that, while the general isogeny problem is still considered unfeasible to break, it is possible to efficiently compute a secret isogeny when given its degree and image on enough torsion points.
A natural response from many researchers has been to propose SIDH variants where one or both of these possible …

attacks compute eprint report general knowledge problem report robert secret