Paper 2025/215 Original: eprint.iacr.org/2025/215 ↗
A note on the genus of the HAWK lattice
Abstract
The cryptographic scheme and NIST candidate HAWK makes use of a particular module lattice and relies for its security on the assumption that finding module lattice isomorphisms (module LIP) is hard. To support this assumption, we compute the mass of the HAWK lattice, which gives a lower bound on the number of isometry classes of module lattices which cannot be distinguished from the HAWK lattice by an easily computed invariant called the genus. This number turns out to be so large that an attack based on the genus alone seems infeasible.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2025-02-12: last updated
- 2025-02-12: published
- Short URL
- https://ia.cr/2025/215
- License
- https://creativecommons.org/publicdomain/zero/1.0/
BibTeX
@misc{cryptoeprint:2025/215,
author = {Daniël M. H. van Gent},
title = {A note on the genus of the HAWK lattice},
howpublished = {Cryptology {ePrint} Archive, Paper 2025/215},
year = {2025},
url = {https://eprint.iacr.org/2025/215}
}