Paper 2026/1431 Original: eprint.iacr.org/2026/1431 ↗

The Isogeny Problems

Wouter Castryck
Luca De Feo
Steven D. Galbraith
Péter Kutas
Krijn Reijnders
Benjamin Wesolowski
Abstract

This work contains an exposition of the seven foremost unsolved problems in the domain of isogeny-based cryptography, obtained by asking eleven experts in isogeny-based cryptography what they considered to be the most important unsolved problems in isogeny-based cryptography, and curated down to the seven problems in this document. For each problem, an expert wrote a short write-up giving the precise statements and descriptions per problem.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2026-07-13: last updated
2026-07-13: published
Short URL
https://ia.cr/2026/1431
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/1431,
      author = {Wouter Castryck and Luca De Feo and Steven D. Galbraith and Péter Kutas and Krijn Reijnders and Benjamin Wesolowski},
      title = {The Isogeny Problems},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/1431},
      year = {2026},
      url = {https://eprint.iacr.org/2026/1431}
}
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