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Título:
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Algebraic curves over F-3 with many rational points
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Autores:
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Luengo Velasco, Ignacio ;
López, Bartolomé
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Tipo de documento:
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texto impreso
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Editorial:
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SPRINGER-VERLAG BERLIN, 2004
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Álgebra
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Tipo = Sección de libro
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Resumen:
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We present a method to find curves over the finite field F-3 with many rational points. The method is based in an arithmetic study of linear systems of projective plane curves of a given degree and prescribed singularities. We have found curves of genera 4, 5, 6, 7 and 8 which in the cases of genera 5 and 8 improve the existent bounds for the number of rational points, and in the cases of genera 4, 6 and 7 reach these bounds.
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