Lattice Codes for Lattice-Based PKE

Shanxiang Lyu; Ling Liu; Junzuo Lai; Cong Ling; Hao Chen

Paper 2022/874

Lattice Codes for Lattice-Based PKE

Shanxiang Lyu

, Jinan University

Ling Liu

, Shenzhen University

Junzuo Lai, Jinan University

Cong Ling

, Imperial College London

Hao Chen, Jinan University

Abstract

The public key encryption (PKE) protocol in lattice-based cryptography (LBC) can be modeled as a noisy point-to-point communication system, where the communication channel is similar to the additive white Gaussian noise (AWGN) channel. To improve the error correction performance, this paper investigates lattice-based PKE from the perspective of lattice codes. We propose an efficient labeling function that converts between binary information bits and lattice codewords. The proposed labeling is feasible for a wide range of lattices, including Construction-A and Construction-D lattices. Based on Barnes-Wall lattices, a few improved parameter sets with either higher security or smaller ciphertext size are proposed for FrodoPKE.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
Keywords: public key encryption (PKE) lattice-based cryptography (LBC) lattice codes
Contact author(s): lsx07 @ jnu edu cn
liulingcs @ szu edu cn
laijunzuo @ gmail com
c ling @ imperial ac uk
chenhao @ fudan edu cn
History: 2022-08-04: last of 2 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 Junzuo Lai and Cong Ling and Hao Chen},
      title = {Lattice Codes for Lattice-Based PKE},
      howpublished = {Cryptology ePrint Archive, Paper 2022/874},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/874}},
      url = {https://eprint.iacr.org/2022/874}
}