Paper 2018/1229 Original: eprint.iacr.org/2018/1229 ↗
On Some Computational Problems in Local Fields
Abstract
Lattices in Euclidean spaces are important research objects in geometric number theory, and they have important applications in many areas, such as cryptology. The shortest vector problem (SVP) and the closest vector problem (CVP) are two famous computational problems about lattices. In this paper, we define so-called p-adic lattices, and consider the p-adic analogues of SVP and CVP in local fields. We find that, in contrast with lattices in Euclidean spaces, the situation is completely different and interesting. We also develop relevant algorithms, indicating that these problems are computable.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2018-12-30: last updated
- 2018-12-30: published
- Short URL
- https://ia.cr/2018/1229
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2018/1229,
author = {Yingpu Deng and Lixia Luo and Guanju Xiao},
title = {On Some Computational Problems in Local Fields},
howpublished = {Cryptology {ePrint} Archive, Paper 2018/1229},
year = {2018},
url = {https://eprint.iacr.org/2018/1229}
}