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Climbing and descending tall volcanos
June 12, 2024, 8 a.m. |
IACR News www.iacr.org
ePrint Report: Climbing and descending tall volcanos
Steven Galbraith
We revisit the question of relating the elliptic curve discrete logarithm problem (ECDLP) between ordinary elliptic curves over finite fields with the same number of points. This problem was considered in 1999 by Galbraith and in 2005 by Jao, Miller, and Venkatesan. We apply recent results from isogeny cryptography and cryptanalysis, especially the Kani construction, to this problem. We improve the worst case bound in Galbraith's 1999 paper from $\tilde{O}( q^{1.5} …
curve elliptic eprint report miller points problem question report results
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