Paper 2024/1148 Original: eprint.iacr.org/2024/1148 ↗
On hermitian decomposition lattices and the module-LIP problem in rank 2
Abstract
In this short note, we introduce a specific class of rank two lattices over CM fields endowed with additional symmetries, which are involved in the decomposition of algebraic integers in Hermitian squares. As an application, we show an elementary reduction from the module-LIP problem in rank 2 over a CM or totally real number field to the finding of a square basis in such lattices.
Metadata
- Available format(s)
PDF- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- History
- 2024-07-15: last updated
- 2024-07-15: published
- Short URL
- https://ia.cr/2024/1148
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2024/1148,
author = {Thomas Espitau and Heorhii Pliatsok},
title = {On hermitian decomposition lattices and the module-LIP problem in rank 2},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/1148},
year = {2024},
url = {https://eprint.iacr.org/2024/1148}
}