On the efficiency of Pollard's rho method for discrete logarithms

Shi Bai*, Richard P. Brent

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    Pollard's rho method is a randomized algorithm for computing discrete logarithms. It works by defining a pseudo-random sequence and then detecting a match in the sequence. Many improvements have been proposed, while few evaluation results and efficiency suggestions have been reported. This paper is devoted to a detailed study of the efficiency issues in Pollard's rho method. We describe an empirical performance analysis of several widely applied algorithms. This should provide a better combination of algorithms and a good choice of parameters for Pollard's rho method.

    Original languageEnglish
    Title of host publicationTheory of Computing 2008 - Proceedings of the Fourteenth Computing
    Subtitle of host publicationThe Australasian Theory Symposium, CATS 2008
    Publication statusPublished - 2008
    EventTheory of Computing 2008 - 14th Computing: The Australasian Theory Symposium, CATS 2008 - Wollongong, NSW, Australia
    Duration: 22 Jan 200825 Jan 2008

    Publication series

    NameConferences in Research and Practice in Information Technology Series
    Volume77
    ISSN (Print)1445-1336

    Conference

    ConferenceTheory of Computing 2008 - 14th Computing: The Australasian Theory Symposium, CATS 2008
    Country/TerritoryAustralia
    CityWollongong, NSW
    Period22/01/0825/01/08

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