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An Improvement to the Gaudry-Schost Algorithm for Multidimensional Discrete Logarithm Problems

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Cryptography and Coding (IMACC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5921))

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Abstract

Gaudry and Schost gave a low-memory algorithm for solving the 2-dimensional discrete logarithm problem. We present an improvement to their algorithm and extend this improvement to the general multidimensional DLP. An important component of the algorithm is a multidimensional pseudorandom walk which we analyse thoroughly in the 1 and 2 dimensional cases as well as giving some discussion for higher dimensions.

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Author information

Authors and Affiliations

  1. Mathematics Department, Auckland University, Auckland, New Zealand

    Steven Galbraith

  2. Mathematics Department, Royal Holloway University of London, Egham, Surrey, UK

    Raminder S. Ruprai

Authors
  1. Steven Galbraith
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  2. Raminder S. Ruprai
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Editor information

Editors and Affiliations

  1. The Selmer Centre Department of Informatics, University of Bergen, P.O. Box 7800, N-5020, Bergen, Norway

    Matthew G. Parker

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© 2009 Springer-Verlag Berlin Heidelberg

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Galbraith, S., Ruprai, R.S. (2009). An Improvement to the Gaudry-Schost Algorithm for Multidimensional Discrete Logarithm Problems. In: Parker, M.G. (eds) Cryptography and Coding. IMACC 2009. Lecture Notes in Computer Science, vol 5921. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10868-6_22

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  • DOI: https://doi.org/10.1007/978-3-642-10868-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10867-9

  • Online ISBN: 978-3-642-10868-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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