Paper 2020/208
Random Integer Lattice Generation via HNF
Gengran Hu, Lin You, Liqin Hu, and Hui Wang
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. MINOR revision.
- Keywords
- random integer latticeHermite Normal Formgeneration algorithm
- Contact author(s)
-
grhu @ hdu edu cn
385205227 @ qq com - History
- 2020-02-19: received
- Short URL
- https://ia.cr/2020/208
- License
-
CC BY
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}
}
