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- W2952636670 abstract "The Pollard Rho algorithm is a widely used algorithm for solving discrete logarithms on general cyclic groups, including elliptic curves. Recently the first nontrivial runtime estimates were provided for it, culminating in a sharp O(sqrt(n)) bound for the collision time on a cyclic group of order n. In this paper we show that for n satisfying a mild arithmetic condition, the collisions guaranteed by these results are nondegenerate with high probability: that is, the Pollard Rho algorithm successfully finds the discrete logarithm." @default.
- W2952636670 created "2019-06-27" @default.
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- W2952636670 date "2008-08-04" @default.
- W2952636670 modified "2023-09-27" @default.
- W2952636670 title "Non-degeneracy of Pollard Rho Collisions" @default.
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