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- Article name
- Post-quantum Signature Scheme with Double Masking of the Exponentiation Operation
- 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
Kostina A. A., , anna1805@mail.ru, St. Petersburg Institute for Informatics and Automation the RAS, St. Petersburg, Russia
- Keywords
- information protection / cryptography / digital signature / discrete logarithm problem / finite associative algebra / non-commutative algebra / global unit / local unit / single-sided unit
- Year
- 2020 Issue 2 Pages 41 - 48
- Code EDN
- Code DOI
- Abstract
- A new method for designing the signature schemes based on the hidden discrete logarithm problem and its implementation are 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 masking operations of different types each of which is mutually commutative with the basic exponentiation operation in a cyclic group generated by a non-invertible element of the algebra, which has sufficiently large prime order. In a particular implementation of the method the 4-dimensional finite algebra, containing large sets of the local left-sided and right-sided units described by mathematical formulas is used as the algebraic support of the signature scheme.
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