|
| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
Jean-Pierre Serre
Letter to G. van der Geer
September 1, 1997.
|
Comments
|
|
| Tags |
Methods from general class field theory |
User comments
|
Correction
|
S.E.Fischer
12-20-2014 03:39
|
The extension E/F leads to a curve of genus 4 with 8 points. Extending once again by H of degree 2 leads to the desired result, as we write
H/(E/F):= v^2 + v*x + x^3 + x .
|
|
Explicit Curve
|
S.E.Fischer
12-18-2014 15:27
|
We can assume such a curve C as an extension E of degree 2 of a curve F of genus 1 as follows:
F:= (x + y + x*y) * x*y + x + 1
E/F := z^2 * x + z + x^2 * y^2
|
|
My reference corrected
|
Isabel Pirsic
06-19-2012 16:18
|
G. van der Geer
Hunting for curves over finite fields with many points
arXiv:0902.3882
|
|
Defining equation
|
Isabel Pirsic
06-19-2012 14:17
|
y^8 +
(x^4 + x + 1)*y^4 +
(x^2 + x)*y^2 +
(x^4 + x^2)*y +
(x^12 + x^4)
Ref: G. van der Geer, M. van der Vlugt
How to construct curves over finite fields with many points
In: Arithmetic Geometry, (Cortona 1994), F. Catanese Ed.,
Cambridge Univ. Press, Cambridge, 1997, p. 169-189.
|
|
| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
Jean-Pierre Serre
Letter to G. van der Geer
September 1, 1997.
|
Comments
|
|
| Tags |
None |
User comments
No comments have been made.
|