Paper 2024/089 Original: eprint.iacr.org/2024/089 ↗

Two-party GOST in two parts: fruitless search and fruitful synthesis

Liliya Akhmetzyanova
Evgeny Alekseev
Alexandra Babueva
Lidiia Nikiforova
Stanislav Smyshlyaev
Abstract

In the current paper we investigate the possibility of designing secure two-party signature scheme with the same verification algorithm as in the Russian standardized scheme (GOST scheme). We solve this problem in two parts. The first part is a (fruitless) search for an appropriate scheme in the literature. It turned out that all existing schemes are insecure in the strong security models. The second part is a synthesis of new signature scheme and ends fruitfully. We synthesize a new two-party GOST signature scheme, additionally using the commitment scheme, guided by the features of the GOST signature scheme, as well as the known attacks on existing schemes. We prove that this scheme is secure in a bijective random oracle model in the case when one of the parties is malicious under the assumption that the classical GOST scheme is unforgeable in a bijective random oracle model and the commitment scheme is modelled as a random oracle.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2024-01-19: last updated
2024-01-19: published
Short URL
https://ia.cr/2024/089
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/089,
      author = {Liliya Akhmetzyanova and Evgeny Alekseev and Alexandra Babueva and Lidiia Nikiforova and Stanislav Smyshlyaev},
      title = {Two-party GOST in two parts: fruitless search and fruitful synthesis},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/089},
      year = {2024},
      url = {https://eprint.iacr.org/2024/089}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.