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An analysis of the infrastructure in real function fields

Authors:
David J. Mireles Morales
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URL: http://eprint.iacr.org/2008/299
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Abstract: We construct a map injecting the set of infrastructure ideals in a real function field into the class group of the correspoding hyperelliptic curve. This map respects the `group-like' structure of the infrastructure, as a consequence of this construction we show that calculating distances in the set of infrastructure ideals is equivalent to the DLP in the underlying hyperelliptic curve. We also give a precise description of the elements missing in the infrastructure to be a group.
BibTeX
@misc{eprint-2008-17976,
  title={An analysis of the infrastructure in real function fields},
  booktitle={IACR Eprint archive},
  keywords={foundations / infrastructure, real hyperelliptic curves},
  url={http://eprint.iacr.org/2008/299},
  note={ david.mireles@gmail.com 14064 received 4 Jul 2008},
  author={David J. Mireles Morales},
  year=2008
}