@InProceedings{C:DEFHIR25,
  author="Dartois, Pierrick
  and Eriksen, Jonathan Komada
  and Fouotsa, Tako Boris
  and Herl{\'e}dan Le Merdy, Arthur
  and Invernizzi, Riccardo
  and Robert, Damien
  and Rueger, Ryan
  and Vercauteren, Frederik
  and Wesolowski, Benjamin",
  editor="Tauman Kalai, Yael
  and Kamara, Seny F.",
  title="PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies",
  booktitle="Advances in Cryptology -- CRYPTO 2025",
  year="2025",
  publisher="Springer Nature Switzerland",
  address="Cham",
  pages="67--99",
  abstract="In this paper, we present the first practical algorithm to compute an effective group action of the class group of any imaginary quadratic order {\$}{\$}{\backslash}mathcal {\{}O{\}}{\$}{\$}Oon a set of supersingular elliptic curves primitively oriented by {\$}{\$}{\backslash}mathcal {\{}O{\}}{\$}{\$}O. Effective means that we can act with any element of the class group directly, and are not restricted to acting by products of ideals of small norm, as for instance in CSIDH. Such restricted effective group actions often hamper cryptographic constructions, e.g. in signature or MPC protocols.",
  isbn="978-3-032-01855-7"
}