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- Article name
- A post-quantum algebraic digital signature algorithm secure against equivalent-key attacks
- Authors
- Moldovyan D. N., , mdn.spectr@mail.ru, St. Petersburg Electrotechnical Univeristy "LETI", St. Petersburg, Russia
Moldovyan N. A., , nmold@mail.ru, St. Petersburg Federal Research Center of the RAS (SPC RAS), St. Petersburg, Russia
Morozova E. V., , evmgumrf@mail.ru, Admiral Makarov State University of Maritime and Inland Shipping, St. Petersburg, Russia
Kostina A. A., , to.ann@inbox.ru, St. Petersburg Federal Research Center of the RAS (SPC RAS), St. Petersburg, Russia
- Keywords
- digital signature / post-quantum cryptography / matrix algebra / commutative subrings / cyclic groups / system of power equations / equivalent key
- Year
- 2026 Issue 1 Pages 56 - 61
- Code EDN
- VIVAQO
- Code DOI
- 10.52190/2073-2600_2026_1_56
- Abstract
- A new post-quantum digital signature algorithm is proposed, based on the computational difficulty of solving large systems of power equations (LSPEs), which has increased security against potential attacks based on equivalent keys, which is ensured by the balancing or overdetermination of the LSPEs. Various versions of the developed algorithm, differing in the dimension of the finite matrix algebra used as an algebraic support, have small public key and signature sizes with a sufficiently high level of security to direct attacks and attacks based on known signatures.
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