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Computing equations of
curves with many points
Virgile Ducet and Claus Fieker |
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Vol. 1 (2013), No. 1, 317–334
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Abstract |
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We explain how to compute the equations of the abelian coverings of any curve defined over a finite field. Then we describe an algorithm which computes curves with many rational points with respect to their genus. The implementation of the algorithm provides seven new records over . |
Keywords
explicit class field theory, Kummer theory, Witt vectors,
curves with many points, equations of abelian coverings
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Mathematical Subject Classification 2010
Primary: 11R37
Secondary: 14H45
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Milestones
Published: 14 November 2013
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Authors |
| Virgile Ducet | |
| Institut de Mathématiques de
Luminy Campus de Luminy, Case 907 13288 Marseille Cedex 9 France |
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| Claus Fieker | |
| Fachbereich Mathematik Universität Kaiserslautern Postfach 3049 67653 Kaiserslautern Germany |
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