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Diskretnaya Matematika, 2014, Volume 26, Issue 3, Pages 45–64
DOI: https://doi.org/10.4213/dm1289 (Mi dm1289) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Application of non-associative groupoids to the realization of an open key distribution procedure

S. Yu. Katysheva, V. T. Markovb, A. A. Nechaevc

a LLC "Certification Research Center"
b M. V. Lomonosov Moscow State University
c Academy of Criptography of Russia
Full-text PDF (547 kB) Citations (19)
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DOI: https://doi.org/10.4213/dm1289
Abstract: We investigate the possibility to use non-associative groupoids in the realization of an open key distribution procedure based on a generalization of the well known Diffie–Hellman algorithm. We prove the existence of non-associative groupoids which are simultaneously power commuting and not power-associative.
Keywords: open key distribution, Diffie–Hellman algorithm, non-associative groupoids, medial quasigroups, finite dimensional algebras.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6260.2012.10
Академия криптографии РФ
Received: 11.05.2014
English version:
Discrete Mathematics and Applications, 2015, Volume 25, Issue 1, Pages 9–24
DOI: https://doi.org/10.1515/dma-2015-0002
Bibliographic databases:
Document Type: Article
UDC: 512.548.2
Language: Russian
Citation: S. Yu. Katyshev, V. T. Markov, A. A. Nechaev, “Application of non-associative groupoids to the realization of an open key distribution procedure”, Diskr. Mat., 26:3 (2014), 45–64; Discrete Math. Appl., 25:1 (2015), 9–24
Citation in format AMSBIB
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\pages 45--64
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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