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Paper 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.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
infrastructurereal hyperelliptic curves
Contact author(s)
david mireles @ gmail com
History
2008-07-04: received
Short URL
https://ia.cr/2008/299
License
Creative Commons Attribution
CC BY
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