Paper 2020/208 Original: eprint.iacr.org/2020/208 ↗
Random Integer Lattice Generation via HNF
Abstract
Lattices used in cryptography are integer lattices. Defining and generating a "random integer lattice" are interesting topics. A generation algorithm for random integer lattice can be used to serve as a random input of all the lattice algorithms. In this paper, we recall the definition of random integer lattice given by G.Hu et al. and present an improved generation algorithm for it via Hermite Normal Form. It can be proved that with probability >= 0.99, this algorithm outputs an n-dim random integer lattice within O(n^2) operations.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2020-02-19: last updated
- 2020-02-19: published
- Short URL
- https://ia.cr/2020/208
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/208,
author = {Gengran Hu and Lin You and Liqin Hu and Hui Wang},
title = {Random Integer Lattice Generation via HNF},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/208},
year = {2020},
url = {https://eprint.iacr.org/2020/208}
}