Cryptology ePrint Archive: Report 2008/299

An analysis of the infrastructure in real function fields

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.

Category / Keywords: foundations / infrastructure, real hyperelliptic curves

Date: received 4 Jul 2008

Contact author: david mireles at gmail com

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Version: 20080704:112825 (All versions of this report)

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