Paper 2022/874
Lattice Codes for Lattice-Based PKE
, Jinan University, State Key Laboratory of Cryptology, Shenzhen University, Imperial College LondonAbstract
Existing error correction mechanisms in lattice-based public key encryption (PKE) rely on either trivial modulation or its concatenation with error correction codes (ECC). This paper demonstrates that lattice coding, as a combined ECC and modulation technique, can replace trivial modulation in current lattice-based PKEs, resulting in improved error correction performance. We model the FrodoPKE protocol as a noisy point-to-point communication system, where the communication channel resembles an additive white Gaussian noise (AWGN) channel. To utilize lattice codes for this specific channel with hypercube shaping, we propose an efficient labeling function that converts binary information bits to lattice codewords and vice versa. The parameter sets of FrodoPKE are enhanced to achieve higher security levels or smaller ciphertext sizes. For instance, the proposed Frodo-1344-E$_\text{8}$ offers a 10-bit classical security improvement over Frodo-1344. The code for reproducing our main experiments is available at https://github.com/shx-lyu/lattice-codes-for-pke.
Note: the paper has been accepted by Designs, Codes and Cryptography.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Preprint.
- Keywords
- public key encryption (PKE)lattice-based cryptography (LBC)lattice codescoded modulation
- Contact author(s)
-
lsx07 @ jnu edu cn
liulingcs @ szu edu cn
c ling @ imperial ac uk
laijunzuo @ gmail com
chenhao @ fudan edu cn - History
- 2023-10-10: last of 5 revisions
- 2022-07-04: received
- See all versions
- Short URL
- https://ia.cr/2022/874
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2022/874,
author = {Shanxiang Lyu and Ling Liu and Cong Ling and Junzuo Lai and Hao Chen},
title = {Lattice Codes for Lattice-Based {PKE}},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/874},
year = {2022},
url = {https://eprint.iacr.org/2022/874}
}
