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

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Authors Ayan Mahalanobis, Vivek Mallick arXiv ID 1703.07544 Category cs.CR: Cryptography & Security Cross-listed cs.IT, math.AG Citations 4 Venue IACR Cryptology ePrint Archive Last Checked 4 months ago
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.
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