Paper 2019/357 Original: eprint.iacr.org/2019/357 ↗

Lattice-based proof of a shuffle

Núria Costa
Ramiro Martínez
Paz Morillo
Abstract

In this paper we present the first fully post-quantum proof of a shuffle for RLWE encryption schemes. Shuffles are commonly used to construct mixing networks (mix-nets), a key element to ensure anonymity in many applications such as electronic voting systems. They should preserve anonymity even against an attack using quantum computers in order to guarantee long-term privacy. The proof presented in this paper is built over RLWE commitments which are perfectly binding and computationally hiding under the RLWE assumption, thus achieving security in a post-quantum scenario. Furthermore we provide a new definition for a secure mixing node (mix-node) and prove that our construction satisfies this definition.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2020-10-21: last updated
2019-04-10: published
Short URL
https://ia.cr/2019/357
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/357,
      author = {Núria Costa and Ramiro Martínez and Paz Morillo},
      title = {Lattice-based proof of a shuffle},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/357},
      year = {2019},
      url = {https://eprint.iacr.org/2019/357}
}
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