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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 4, Pages 185–195 (Mi fpm1537)  
Pairing inversion for finding discrete logarithms

M. A. Cherepniov

Lomonosov Moscow State University, Moscow, Russia
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Abstract: This paper proposes an inversion algorithm for pairings. This technique can be used for breaking the Diffie–Hellman protocol on elliptic curves and for solving the discrete logarithm problem on some curves that satisfy GOST P.34.10-2012.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 206, Issue 6, Pages 734–741
DOI: https://doi.org/10.1007/s10958-015-2349-x
Bibliographic databases:
Document Type: Article
UDC: 512.624
Language: Russian
Citation: M. A. Cherepniov, “Pairing inversion for finding discrete logarithms”, Fundam. Prikl. Mat., 18:4 (2013), 185–195; J. Math. Sci., 206:6 (2015), 734–741
Citation in format AMSBIB
\Bibitem{Che13}
\by M.~A.~Cherepniov
\paper Pairing inversion for finding discrete logarithms
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 4
\pages 185--195
\mathnet{http://mi.mathnet.ru/fpm1537}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431840}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 206
\issue 6
\pages 734--741
\crossref{https://doi.org/10.1007/s10958-015-2349-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84956736454}
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    		Фундаментальная и прикладная математика
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