Paper 2008/299 Original: eprint.iacr.org/2008/299 ↗
An analysis of the infrastructure in real function fields
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
- Preprint.
- History
- 2008-07-04: last updated
- 2008-07-04: published
- Short URL
- https://ia.cr/2008/299
- License
- https://creativecommons.org/licenses/by/4.0/
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}
}