Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2019, Volume 15, Issue 2, Pages 212–220
DOI: https://doi.org/10.21638/11701/spbu10.2019.205 (Mi vspui402) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

Post-quantum electronic digital signature scheme based on the enhanced form of the hidden discrete logarithm problem

N. A. Moldovyan, I. K. Abrosimov

St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, 39, 14 Line V. I., St. Petersburg, 199178, Russian Federation
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DOI: https://doi.org/10.21638/11701/spbu10.2019.205
Abstract: A digital signature scheme based on the computational difficulty of the hidden discrete logarithm problem defined in finite non-commutative associative algebras is proposed. The modified quaternion algebra and its properties are considered as the algebraic carrier of the introduced post-quantum digital signature scheme. Formulas describing the set of local units associated with a given non-invertible vector of a modified quaternion algebra are derived. \newpage A new form of the hidden discrete logarithm problem has been formulated and a digital signature scheme has been developed on its base.
Keywords: post-quantum cryptography, cryptographic primitive, electronic signature, finite algebra, non-commutative associative algebra.
Received: February 14, 2019
Accepted: March 15, 2019
Bibliographic databases:
Document Type: Article
UDC: 512.552.18+003.26
MSC: 16P10
Language: Russian
Citation: N. A. Moldovyan, I. K. Abrosimov, “Post-quantum electronic digital signature scheme based on the enhanced form of the hidden discrete logarithm problem”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 15:2 (2019), 212–220
Citation in format AMSBIB
\Bibitem{MolAbr19}
\by N.~A.~Moldovyan, I.~K.~Abrosimov
\paper Post-quantum electronic digital signature scheme based on the enhanced form of the hidden discrete logarithm problem
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2019
\vol 15
\issue 2
\pages 212--220
\mathnet{http://mi.mathnet.ru/vspui402}
\crossref{https://doi.org/10.21638/11701/spbu10.2019.205}
\elib{https://elibrary.ru/item.asp?id=38552366}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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