Unimodular Hunting II
Abstract Pursuing ideas in [6], we determine the isometry classes of unimodular lattices of rank $28$ , as well as the isometry classes of unimodular lattices of rank $29$ without nonzero vectors of norm $\leq 2$ . We also provide some invariant that allows to distinguish these lattices and to independently check with a computer that our lists are complete.
Authors
- Gaëtan Chenevier (ORCID: https://orcid.org/0000-0001-8456-6295)
- Bill Allombert (ORCID: https://orcid.org/0000-0003-3097-1572)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Bordeaux (FR)
- École Normale Supérieure (BI)
- Institut de Mathématiques de Bordeaux (FR)
Publication Details
- Journal
- Forum of Mathematics Sigma
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1017/fms.2025.10058
- Citations
- 1
- Primary Topic
- Cryptography and Data Security
- Type
- article
- Field-Weighted Citation Impact
- 2.48
Funders
- Agence Nationale de la Recherche