[Resource Topic] 2008/299: An analysis of the infrastructure in real function fields

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Title:
An analysis of the infrastructure in real function fields

Authors: David J. Mireles Morales

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.

ePrint: https://eprint.iacr.org/2008/299

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