Paper 2025/431
Commitment Schemes Based on Module-LIP
Abstract
Recently, Jiang et al. (EUROCRYPT 2025) proposed a universal framework for constructing commitment schemes using group actions, and instantiated it with the Lattice Isomorphism Problem (LIP). This paper attempts to construct an instantiation based on module-LIP with this framework. More precisely, we first present a reduction from $\mathcal{O}_{\mathbb{L}}^2$-LIP to $\mathcal{O}_{\mathbb{L}}^2$-LAP. Then we develop a re-randomized algorithm based on the self-reduction framework of Module-LIP (Ducas et al. ASIACRYPT 2022), adapting it to the framework to construct commitment schemes.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Preprint.
- Keywords
- Lattice automorphismmodule-LIPCommitment
- Contact author(s)
-
luohengyi @ amss ac cn
jkj21 @ mails tsinghua edu cn
panyanbin @ amss ac cn
anyuwang @ tsinghua edu cn - History
- 2025-03-06: approved
- 2025-03-06: received
- See all versions
- Short URL
- https://ia.cr/2025/431
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2025/431,
author = {Hengyi Luo and Kaijie Jiang and Yanbin Pan and Anyu Wang},
title = {Commitment Schemes Based on Module-{LIP}},
howpublished = {Cryptology {ePrint} Archive, Paper 2025/431},
year = {2025},
url = {https://eprint.iacr.org/2025/431}
}
