Attack on SHealS and HealS: the Second Wave of GPST

Steven D.  Galbraith; Yi-Fu Lai

Paper 2022/443

Attack on SHealS and HealS: the Second Wave of GPST

Steven D. Galbraith

, University of Auckland

Yi-Fu Lai

, University of Auckland

Abstract

We cryptanalyse the isogeny-based public key encryption schemes SHealS and HealS, and the key exchange scheme HealSIDH of Fouotsa and Petit from Asiacrypt 2021.

Note: -Update- May 10th 2022: generalise the generalised attack in the appendix. Apr 27th 2023: update publication information.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. PQCrypto2022
DOI: 10.1007/978-3-031-17234-2_19
Keywords: Post-quantum cryptography isogeny cryptograph cryptanalysis SIDH SIKE adaptive attacks GPST attack
Contact author(s): s galbraith @ auckland ac nz
27182818284fu lai @ gmail com
History: 2023-04-27: last of 2 revisions; 2022-04-12: received; See all versions
Short URL: https://ia.cr/2022/443
License: CC BY

BibTeX

@misc{cryptoeprint:2022/443,
      author = {Steven D.  Galbraith and Yi-Fu Lai},
      title = {Attack on {SHealS} and {HealS}: the Second Wave of {GPST}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/443},
      year = {2022},
      doi = {10.1007/978-3-031-17234-2_19},
      url = {https://eprint.iacr.org/2022/443}
}