Collision bounds for the additive Pollard rho algorithm for solving discrete logarithms

We prove collision bounds for the Pollard rho algorithm to solve the discrete logarithm problem in a general cyclic group 𝐆$\mathbf {G}$. Unlike the setting studied by Kim et al., we consider additive walks: the setting used in practice to solve the elliptic curve discrete logarithm problem. Our bou...

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Bibliographic Details
Main Authors: Bos Joppe W., Dudeanu Alina, Jetchev Dimitar
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2012-0032