Weil descent of Jacobians

  • Authors:
  • Steven D. Galbraith

  • Affiliations:
  • Mathematics Department, Royal Holloway University of London, Egham, Surrey TW20 0EX, UK

  • Venue:
  • Discrete Applied Mathematics - Special issue: International workshop on coding and cryptography (WCC 2001)
  • Year:
  • 2003

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Abstract

The technique of Weil restriction of scalars has significant implications for elliptic curve cryptography. In this paper we apply these ideas to the case of the discrete logarithm problem in the Jacobian of a curve of genus greater than one over a finite field Fqn where n 1.