Equivalent computational problems for superspecial abelian surfaces

Mickaël Montessinos

Paper 2026/120

Equivalent computational problems for superspecial abelian surfaces

Mickaël Montessinos

, Eötvös Loránd University

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.
Keywords: isogeny-based cryptography superspecial abelian surfaces endomorphism ring problem
Contact author(s): mickael @ montessinos fr
History: 2026-01-26: approved; 2026-01-25: received; See all versions
Short URL: https://ia.cr/2026/120
License: CC BY

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}
}