Paper 2021/1075

The security of the code-based signature scheme based on the Stern identification protocol

Victoria Vysotskaya and Ivan Chizhov

Abstract

The paper provides a complete description of the digital signature scheme based on the Stern identification protocol. We also present the proof of the existential unforgeability of the scheme under the chosen message attack (EUF-CMA) in the random oracle model (ROM) under assumptions of hardness of syndrome decoding and hash function collision finding problems. Finally, we discuss the choice of the signature parameters and introduce a parameter set providing 80-bit security.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
post-quantum cryptographycode-based cryptographydigital signatureStern’s schemeFiat-Shamir transformprovable securityEUF-CMA security.
Contact author(s)
vysotskaya victory @ gmail com
History
2021-08-30: last of 2 revisions
2021-08-23: received
See all versions
Short URL
https://ia.cr/2021/1075
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2021/1075,
      author = {Victoria Vysotskaya and Ivan Chizhov},
      title = {The security of the code-based signature scheme based on the Stern identification protocol},
      howpublished = {Cryptology ePrint Archive, Paper 2021/1075},
      year = {2021},
      note = {\url{https://eprint.iacr.org/2021/1075}},
      url = {https://eprint.iacr.org/2021/1075}
}
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