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- Article name
- Post-quantum scheme of the public key distribution
- 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
- Keywords
- information protection / cryptography / public key distribution / discrete logarithm problem / finite associative algebra / non-commutative algebra / global unit / local unit / left-sided unit
- Year
- 2020 Issue 4 Pages 3 - 10
- Code EDN
- Code DOI
- Abstract
- A new method for the public key distribution is proposed. The method is based on the hidden discrete logarithm problem set in a finite non-commutative associative algebra with the two-sided global unit and is characterized in applying two different mutually commutative operations which mask the basic exponentiation operation in a cyclic group of sufficiently large prime order. A cryptoscheme using the finite algebra, containing a large set of the left-sided units described by a mathematical formula, as its algebraic support and implementing the method is introduced. The developed cryptoscheme represents interest for constructing post-quantum public key distribution protocols.
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