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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


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

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