[Resource Topic] 2018/134: A Las Vegas algorithm to solve the elliptic curve discrete logarithm problem

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Title:
A Las Vegas algorithm to solve the elliptic curve discrete logarithm problem

Authors: Ayan Mahalanobis, Vivek Mallick

Abstract:

In this paper, we describe a new Las Vegas algorithm to solve the elliptic curve discrete logarithm problem. The algorithm depends on a property of the group of rational points of an elliptic curve and is thus not a generic algorithm. The algorithm that we describe has some similarities with the most powerful index-calculus algorithm for the discrete logarithm problem over a finite field.

ePrint: https://eprint.iacr.org/2018/134

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