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Supersingular Elliptic Curves in Cryptography

  • Alfred Menezes
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4575)

Abstract

I will survey the checkered history of supersingular elliptic curves in cryptography, from their first consideration in the seminal papers of Koblitz and Miller, to their rejection after the discovery of the Weil and Tate pairing attacks on the discrete logarithm problem for these curves, and concluding with their resurrection alongside the discovery of pairing-based cryptography.

Keywords

Information Theory Problem Complexity Algorithm Analysis Elliptic Curf Seminal Paper 
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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Alfred Menezes
    • 1
  1. 1.Department of Combinatorics & Optimization, University of Waterloo 

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