Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2018, Volume 9, Issue 4, Pages 5–30
DOI: https://doi.org/10.4213/mvk267 (Mi mvk267) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Application of non-associative structures to the construction of public key distribution algorithms

A. V. Baryshnikov, S. Yu. Katyshev

Certification Research Center, LLC, Moscow
Full-text PDF (294 kB) Citations (2)
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DOI: https://doi.org/10.4213/mvk267
Abstract: We explore the possibility of using non-associative groupoids to construct public key distribution algorithms generalizing the Diffie–Hellmann algorithm. A class of non-associative groupoids satisfying the power permutability property is founded. For this class the complexity of computing powers of an element and the complexity of discrete logarithm problem, including the possible usage of hypothetical quantum computer.
Key words: public key distribution algorithm, non-associative groupoids, linear quasigroups, discrete logarithm problem, Hellmann method, quantum computer.
Received 11.V.2017
Bibliographic databases:
Document Type: Article
UDC: 519.548.2
Language: Russian
Citation: A. V. Baryshnikov, S. Yu. Katyshev, “Application of non-associative structures to the construction of public key distribution algorithms”, Mat. Vopr. Kriptogr., 9:4 (2018), 5–30
Citation in format AMSBIB
\Bibitem{BarKat18}
\by A.~V.~Baryshnikov, S.~Yu.~Katyshev
\paper Application of non-associative structures to the construction of public key distribution algorithms
\jour Mat. Vopr. Kriptogr.
\yr 2018
\vol 9
\issue 4
\pages 5--30
\mathnet{http://mi.mathnet.ru/mvk267}
\crossref{https://doi.org/10.4213/mvk267}
\elib{https://elibrary.ru/item.asp?id=32810558}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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