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Dlog is Practically as Hard (or Easy) as DH – Solving Dlogs via DH Oracles on EC Standards
April 17, 2023, 1:18 p.m. |
IACR News www.iacr.org
ePrint Report: Dlog is Practically as Hard (or Easy) as DH – Solving Dlogs via DH Oracles on EC Standards
Alexander May, Carl Richard Theodor Schneider
Assume that we have a group $G$ of known order $q$, in which we want to solve discrete logarithms (dlogs). In 1994, Maurer showed how to compute dlogs in $G$ in poly time given a Diffie-Hellman (DH) oracle in $G$, and an auxiliary elliptic curve $\hat E(\mathbb{F}_q)$ of smooth order. The problem of Maurer's …
compute diffie elliptic eprint report hard hellman may oracle order poly problem report schneider standards
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