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- Article name
- Post-quantum digital signature algorithm with matrices as secret key elements and evaluation of its software implementation
- Authors
- Moldovyan N. A., , nmold@mail.ru, St. Petersburg Federal Research Center of the RAS (SPC RAS), St. Petersburg, Russia
Podtergera A. A., , podtergera2007@mail.ru, Saint Petersburg Electrotechnical University "LETI", St. Petersburg, Russia
- Keywords
- information security / post-quantum cryptography / public-key cryptosystems / digital signature / finite matrix algebra / finite field of characteristic two
- Year
- 2026 Issue 2 Pages 69 - 75
- Code EDN
- EHHPZO
- Code DOI
- 10.52190/2073-2600_2026_2_69
- Abstract
- A post-quantum digital signature algorithm is proposed, which uses the algebra of square matrices defined over the finite field GF(2s) as an algebraic support, and a proof of the cryptosystem's correctness is given. The security to a direct attack, which involves solving large systems of polynomial equations, and to an attack based on known signatures, is evaluated. The developed algorithm has been implemented in software, using the language Python, and its correctness has been confirmed in practice.
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