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Fundam. Prikl. Mat., 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

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.

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English version:
Journal of Mathematical Sciences (New York), 2015, 206:6, 734–741

Bibliographic databases:

UDC: 512.624

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://www.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{http://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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