Paper 2026/1301
STRUCTURED LATTICES AND THEIR APPLICATIONS TO SECURITY
Abstract
Euclidean lattices are an interesting object of study in many regards and can have a rich structure arising from various constructions, e.g., from number field extensions. A particularly interesting class is the one of well-rounded lattices, as they relate to the well-known densest sphere packing problem in geometry, theta function minimization, and the famous Minkowski and Woods conjectures. In addition to being an important mathematical object in their own right, lattices also play a central role in many applications. This paper offers a survey of structured lattices and discusses their recent applications in lattice-based cryptography and secure wireless communications. Our goal is to spark the interest of mathematicians and adjacent communities in these fascinating topics in the intersection of lattices, number theory, cryptography, and wireless communications.
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Preprint.
- Keywords
- Algebraic number fieldslatticeslattice-based cryptographylearning with errorsphysical layer securitywell-rounded lattices
- Contact author(s)
-
lenny @ cmc edu
camilla hollanti @ aalto fi
rahinatou njah @ aalto fi - History
- 2026-06-24: approved
- 2026-06-22: received
- See all versions
- Short URL
- https://ia.cr/2026/1301
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2026/1301,
author = {LENNY FUKSHANSKY and CAMILLA HOLLANTI and RAHINATOU Y. NJAH NCHIWO},
title = {{STRUCTURED} {LATTICES} {AND} {THEIR} {APPLICATIONS} {TO} {SECURITY}},
howpublished = {Cryptology {ePrint} Archive, Paper 2026/1301},
year = {2026},
url = {https://eprint.iacr.org/2026/1301}
}
