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Elliptic Curves with a Given Number of Points

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Algorithmic Number Theory (ANTS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3076))

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Abstract

We present a non-archimedean method to construct, given an integer N≥1, a finite field F q and an elliptic curve E/F q such that E(F q ) has order N.

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Author information

Authors and Affiliations

  1. Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA, Leiden, The Netherlands

    Reinier Bröker & Peter Stevenhagen

Authors
  1. Reinier Bröker
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  2. Peter Stevenhagen
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, University of South Carolina , SC 29208, Columbia, USA

    Duncan Buell

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© 2004 Springer-Verlag Berlin Heidelberg

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Bröker, R., Stevenhagen, P. (2004). Elliptic Curves with a Given Number of Points. In: Buell, D. (eds) Algorithmic Number Theory. ANTS 2004. Lecture Notes in Computer Science, vol 3076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24847-7_8

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  • DOI: https://doi.org/10.1007/978-3-540-24847-7_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22156-2

  • Online ISBN: 978-3-540-24847-7

  • eBook Packages: Springer Book Archive

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