The Eurocrypt 2019 program features a lot of interesting papers. There are two papers relevant to isogeny crypto:
- Daniel J. Bernstein, Tanja Lange, Chloe Martindale and Lorenz Panny. Quantum Circuits for the CSIDH: Optimizing Quantum Evaluation of Isogenies.
- Luca De Feo and Steven Galbraith. SeaSign: Compact Isogeny Signatures from Class Group Actions.
The PQ Crypto 2019 program features three papers on isogeny crypto:
- Thomas Decru, Lorenz Panny and Frederik Vercauteren. Faster SeaSign signatures through improved rejection sampling.
- E.V. Flynn and Yan Bo Ti. Genus Two Isogeny Cryptography.
- Michael Meyer, Fabio Campos and Steffen Reith. On Lions and Elligators: An efficient constant-time implementation of CSIDH.
The PKC 2019 program includes the paper:
- Steven D. Galbraith, Jake Massimo and Kenneth G. Paterson. Safety in Numbers: On the Need for Robust Diffie-Hellman Parameter Validation.
This paper shows how to construct elliptic curves whose group order is a composite that passes some primality tests with moderate probability. The paper explains why this has implications in some Diffie-Hellman settings.
(Apologies for the self-promotion.)
— Steven Galbraith