Paper 2023/664 Original: eprint.iacr.org/2023/664 ↗

MPC in the head for isomorphisms and group actions

Antoine Joux
Abstract

In this paper, we take inspiration from an invited talk presented at CBCrypto'23 to design identification protocols and signature schemes from group actions using the MPC-in-the-head paradigm. We prove the security of the given identification schemes and rely on the Fiat-Shamir transformation to turn them into signatures. We also establish a parallel with the technique used for the MPC-in-the-head approach and the seed tree method that has been recently used in some signature and ring signatures algorithms based on group action problems.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2023-08-07: last updated
2023-05-10: published
Short URL
https://ia.cr/2023/664
License
https://creativecommons.org/licenses/by-sa/4.0/

BibTeX

@misc{cryptoeprint:2023/664,
      author = {Antoine Joux},
      title = {MPC in the head for isomorphisms and group actions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/664},
      year = {2023},
      url = {https://eprint.iacr.org/2023/664}
}
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