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Paper: Fast genus 2 arithmetic based on Theta functions

Authors:
P. Gaudry
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URL: http://eprint.iacr.org/2005/314
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Abstract: In 1986, D. V. Chudnovsky and G. V. Chudnovsky proposed to use formulae coming from Theta functions for the arithmetic in Jacobians of genus 2 curves. We follow this idea and derive fast formulae for the scalar multiplication in the Kummer surface associated to a genus 2 curve, using a Montgomery ladder. Our formulae can be used to design very efficient genus 2 cryptosystems that should be faster than elliptic curve cryptosystems in some hardware configurations.
BibTeX
@misc{eprint-2005-12648,
  title={Fast genus 2 arithmetic based on Theta functions},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography /},
  url={http://eprint.iacr.org/2005/314},
  note={ gaudry@lix.polytechnique.fr 13033 received 7 Sep 2005},
  author={P. Gaudry},
  year=2005
}