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- Article name
- Novel type of post-quantum algebraic signature algorithms
- Authors
- Moldovyan D. N., , mdn.spectr@mail.ru, St. Petersburg Electrotechnical Univeristy "LETI", St. Petersburg, Russia
Moldovyan A. А., , maa1305@ya.ru, St. Petersburg Federal Research Center of the Russian Academy of Sciences (SPC RAS), St. Petersburg, Russia
- Keywords
- digital signature / post-quantum cryptography / matrix algebra / commutative subrings / system of power equations / equivalent key
- Year
- 2025 Issue 4 Pages 51 - 56
- Code EDN
- KUUVQP
- Code DOI
- 10.52190/2073-2600_2025_4_51
- Abstract
- A new method for constructing algebraic digital signature algorithms based on the computational difficulty of solving large systems of power equations without the use of hidden groups is proposed. This method enables the development of post-quantum digital signature algorithms virtually free from vulnerability to potential attacks based on equivalent keys. A finite algebra of square matrices defined by a ground finite field is used as the algebraic support. Conditions for defining the balance and overdetermination of this system of equations are obtained.
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