On random walks for Pollard's rho method

@article{Teske2001OnRW,
  title={On random walks for Pollard's rho method},
  author={Edlyn Teske},
  journal={Math. Comput.},
  year={2001},
  volume={70},
  pages={809-825}
}
We consider Pollard’s rho method for discrete logarithm computation. Usually, in the analysis of its running time the assumption is made that a random walk in the underlying group is simulated. We show that this assumption does not hold for the walk originally suggested by Pollard: its performance is worse than in the random case. We study alternative walks that can be efficiently applied to compute discrete logarithms. We introduce a class of walks that lead to the same performance as expected… CONTINUE READING
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