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JOURNALS
// Fundamentalnaya i Prikladnaya Matematika
// Archive
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.
UDC:
512.624
Fulltext:
PDF file (151 kB)
References
English version:
Journal of Mathematical Sciences (New York), 2015,
206
:6,
734–741
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025