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- Article name
- A new approach to the development of digital signature algorithms based on the hidden discrete logarithm problem
- Authors
- Moldovyan D. N., , mdn.spectr@mail.ru, St. Petersburg Electrotechnical Univeristy "LETI", St. Petersburg, Russia
Moldovyan A. A., , maa1305@yandex.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
Kostina A. A., , anya@hotbox.ru, St. Petersburg Federal Research Center of the RAS (SPC RAS), St. Petersburg, Russia
- Keywords
- information security / post-quantum cryptography / digital signature / finite associative algebra / non-commutative algebra / two-dimensional cyclicity group
- Year
- 2021 Issue 4 Pages 45 - 49
- Code EDN
- Code DOI
- 10.52190/2073-2600_2021_4_45
- Abstract
- A new approach to the designing digital signature algorithms based on the hidden discrete logarithm problem is proposed. The approach is characterized in that one of the signature elements S is included in the verification equation set in a finite non-commutative algebra, at least two times. This ensures the computational difficulty of solving the verification equation relative to unknown S when fixing all other parameters. The algorithm developed under this approach is described.
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