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| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
Gerard van der Geer, Marcel 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.
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Comments
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| Tags |
Fibre products of Artin-Schreier curves |
User comments
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Explicit Curve
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S.E.Fischer
12-07-2014 04:13
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We can assume such a curve C as an extension C' of degree 2 of a maximal curve M of genus 1 as follows:
M := (x + y + x*y) * (x*y) +1 ;
C'/M := z^2 + z*(x*y^5)+ x^2*y^5 .
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