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

Victoria Vysotskaya; Ivan Chizhov

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 cryptography code-based cryptography digital signature Stern’s scheme Fiat-Shamir transform provable security EUF-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: 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},
      url = {https://eprint.iacr.org/2021/1075}
}