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- Article name
- Finite quaternion-like algebras as carriers of post-quantum digital signature algorithms
- 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 / cyclic group / two-dimensional cyclicity
- Year
- 2022 Issue 2 Pages 21 - 29
- Code EDN
- JQWUAP
- Code DOI
- 10.52190/2073-2600_2022_2_21
- Abstract
- The decomposition of finite four-dimensional associative algebras, the non-commutativity of the multiplication operation in which is given by the asymmetric distribution of a structural constant, into commutative subalgebras is considered. The types of subalgebras and the values of the orders of their multiplicative groups are determined. The results obtained show the possibility of using the studied four finite quaternion-like algebras as carriers of post-quantum digital signature algorithms with a hidden group, including those based on the computational difficulty of finding a solution to a system of many quadratic equations with many unknowns.
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