An analysis of the infrastructure in real function fields

@article{Morales2008AnAO,
  title={An analysis of the infrastructure in real function fields},
  author={David J. Mireles Morales},
  journal={IACR Cryptology ePrint Archive},
  year={2008},
  volume={2008},
  pages={299}
}
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. 

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 13 references

Key-Exchange in Real Quadratic Congruence Function Fields

Des. Codes Cryptography • 1996
View 8 Excerpts
Highly Influenced

Computing arakelov class groups

R. Schoof
MSRI Publications • 2008
View 1 Excerpt

Cryptography in Quadratic Function Fields

Des. Codes Cryptography • 2001
View 1 Excerpt

A course in computational algebraic number theory, vol. 138 of Graduate Texts in Mathematics

H. Cohen
1993
View 1 Excerpt

Computing in the Jacobian of a hyperelliptic curve

D. G. Cantor
Math. Comp. 48, • 1987
View 1 Excerpt