Paper 2003/060
Isomorphism Classes of Picard Curves over Finite Fields
Jong Won Lee
Abstract
In this paper we determine the number of isomorphism classes of Picard curves, i.e., superelliptic curves $y^3=f(x)$ of genus three, over finite fields of characteristic different from $3$. In the process of doing this we also provide reduced forms of Picard curves together the number of such forms up to isomorphism. In addition to its own theoretical meaning it has applications to cryptography.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Foundations
- Publication info
- Published elsewhere. preprint
- Keywords
- Picard curvessuperelliptic curvesisomorphism classesalgebraic function field
- Contact author(s)
- lee @ exp-math uni-essen de
- History
- 2003-04-07: received
- Short URL
- https://ia.cr/2003/060
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2003/060,
author = {Jong Won Lee},
title = {Isomorphism Classes of Picard Curves over Finite Fields},
howpublished = {Cryptology {ePrint} Archive, Paper 2003/060},
year = {2003},
url = {https://eprint.iacr.org/2003/060}
}
