An analysis of the infrastructure in real function fields

David J.  Mireles Morales

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: infrastructure real hyperelliptic curves
Contact author(s): david mireles @ gmail com
History: 2008-07-04: received
Short URL: https://ia.cr/2008/299
License: CC BY

BibTeX

@misc{cryptoeprint:2008/299,
      author = {David J.  Mireles Morales},
      title = {An analysis of the infrastructure in real function fields},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/299},
      year = {2008},
      url = {https://eprint.iacr.org/2008/299}
}