Paper 2026/120 Original: eprint.iacr.org/2026/120 ↗

Equivalent computational problems for superspecial abelian surfaces

Mickaël Montessinos
Abstract

We show reductions and equivalences between various problems related to the computation of the endomorphism ring of principally polarised superspecial abelian surfaces. Problems considered are the computation of the Ibukiyama-Katsura-Oort matrix and computation of unpolarised isomoprhisms between superspecial abelian surfaces.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2026-01-25: last updated
2026-01-25: published
Short URL
https://ia.cr/2026/120
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/120,
      author = {Mickaël Montessinos},
      title = {Equivalent computational problems for superspecial abelian surfaces},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/120},
      year = {2026},
      url = {https://eprint.iacr.org/2026/120}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.