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An analysis of the infrastructure in real function fields
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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 }