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- Article name
- Post-quantum digital signature protocols 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
- Keywords
- information protection / cryptography / digital signature / discrete logarithm problem / finite associative algebra / non-commutative algebra / global unit / left-sided unit / homomorphism
- Year
- 2019 Issue 2 Pages 23 - 32
- Code EDN
- Code DOI
- Abstract
- There are proposed two new forms of the hidden discrete logarithm problem in a finite non-commutative associative algebras defined over the finite ground field GF(p). Using them there are developed two practical post-quantum digital signature schemes. The operations of homomorphism map in finite algebras (that serve as carriers of the cryptoscheme) are used as masking mechanisms. The correctness of the signature schemes is ensured by the property of mutual commutativity of the basic operation with masking operations.
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