On Constructing Families of Pairing-Friendly Elliptic Curves with Variable Discriminant

  • Robert Dryło
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7107)

Abstract

In [10] Freeman, Scott and Teske consider three types of families: complete, sparse and complete with variable discriminant. A general method for constructing complete families is due to Brezing and Weng. In this note we generalize this method to construct families of the latter two types. As an application, we find variable-discriminant families for a few embedding degrees, which improve the previous best ρ-values of families given in [10].

Keywords

Elliptic Curve Elliptic Curf Minimal Polynomial Variable Discriminant Complete Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Robert Dryło
    • 1
    • 2
  1. 1.Institute of MathematicsPolish Academy of SciencesWarszawaPoland
  2. 2.Instytut MatematykiUniwersytet Humanistyczno-Przyrodniczy w KielcachKielcePoland

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