Paper 2020/260

Lattice-based (Partially) Blind Signature without Restart

Samuel Bouaziz-Ermann, Sébastien Canard, Gautier Eberhart, Guillaume Kaim, Adeline Roux-Langlois, and Jacques Traoré

Abstract

We present in this paper a blind signature and its partially blind variant based on lattices assumptions. Blind signature is a cornerstone in privacy-oriented cryptography and we propose the first lattice based scheme without restart. Compare to related work, the key idea of our construction is to provide a trapdoor to the signer in order to let him perform some gaussian pre-sampling during the signature generation process, preventing this way to restart from scratch the whole protocol. We prove the security of our scheme under the ring k-SIS assumption, in the random oracle model. We also explain security issues in the other existing lattice-based blind signature schemes. Finally, we propose a partially blind variant of our scheme, which is done with no supplementary cost, as the number of elements generated and exchanged during the signing protocol is exactly the same.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
blind signaturepartially blindlatticesrejection samplingk-SIS problem
Contact author(s)
guillaume kaim @ orange com
History
2020-02-25: received
Short URL
https://ia.cr/2020/260
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2020/260,
      author = {Samuel Bouaziz-Ermann and Sébastien Canard and Gautier Eberhart and Guillaume Kaim and Adeline Roux-Langlois and Jacques Traoré},
      title = {Lattice-based (Partially) Blind Signature without Restart},
      howpublished = {Cryptology ePrint Archive, Paper 2020/260},
      year = {2020},
      note = {\url{https://eprint.iacr.org/2020/260}},
      url = {https://eprint.iacr.org/2020/260}
}
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