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Paper 2018/399

On the Feasibility of an ECDLP Algorithm

Sergey Grebnev

Abstract

We study the properties of an algorithm for solving the elliptic curve discrete logarithm problem presented by A.~Yu.~Nesterenko at the CTCrypt 2015 session. We show that for practically important instances of the problem its average complexity is not less than that of Pollard's rho-method.

Note: Fixed some minor typography details

Metadata
Available format(s)
PDF
Publication info
Preprint. MINOR revision.
Keywords
elliptic curvesdiscrete logarithm problemmultiplicative ordersPollard's lambdaPollard's rho
Contact author(s)
sgrebnev @ hse ru
History
2018-05-02: received
Short URL
https://ia.cr/2018/399
License
Creative Commons Attribution
CC BY
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