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Eurasian Journal of Mathematical and Computer Applications, 2018, Volume 6, Issue 2, Pages 19–33
DOI: https://doi.org/10.32523/2306-6172-2018-6-2-19-33 (Mi ejmca112) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Development and analysis of the encryption algorithm in nonpositional polynomial notations

R. G. Biyashev, M. N. Kalimoldayev, S. E. Nyssanbayeva, N. A. Kapalova, D. S. Dyusenbayev, K. T. Algazy

Institute of Information and Computational Technologies of the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan Address,125, Pushkin str., Almaty, 050010, Kazakhstan
Full-text PDF (410 kB) Citations (3)
DOI: https://doi.org/10.32523/2306-6172-2018-6-2-19-33
Abstract: This paper proposes a nonpositional encryption scheme built on the basis of nonpositional polynomial notations (NPNs). To develop the cryptographic transformation system, there were implemented a Feistel network, S-boxes and encryption algorithm KazCipher based on NPNs. The S-boxes were specifically designed for the proposed encryption algorithm. Linear and differential analyses of S-boxes have been conducted. The results of avalanche effect tests of the algorithm are provided.
Keywords: encryption, nonpositional polynomial notations, cryptanalysis, S-box, Feistel network.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan
Ongoing studies are funded by the Ministry of Education and Science of the Republic of Kazakhstan.
Bibliographic databases:
Document Type: Article
MSC: 68P25
Language: English
Citation: R. G. Biyashev, M. N. Kalimoldayev, S. E. Nyssanbayeva, N. A. Kapalova, D. S. Dyusenbayev, K. T. Algazy, “Development and analysis of the encryption algorithm in nonpositional polynomial notations”, Eurasian Journal of Mathematical and Computer Applications, 6:2 (2018), 19–33
Citation in format AMSBIB
\Bibitem{BiyKalNys18}
\by R.~G.~Biyashev, M.~N.~Kalimoldayev, S.~E.~Nyssanbayeva, N.~A.~Kapalova, D.~S.~Dyusenbayev, K.~T.~Algazy
\paper Development and analysis of the encryption algorithm in nonpositional polynomial notations
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2018
\vol 6
\issue 2
\pages 19--33
\mathnet{http://mi.mathnet.ru/ejmca112}
\crossref{https://doi.org/10.32523/2306-6172-2018-6-2-19-33}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000440236300002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049261621}
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  • https://www.mathnet.ru/eng/ejmca112
  • https://www.mathnet.ru/eng/ejmca/v6/i2/p19
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Journal of Mathematical and Computer Applications
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    Abstract page:138
    Full-text PDF :1301
    References:1
     
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