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Luengo Velasco, Ignacio and López, Bartolomé
(2004)
*Algebraic curves over F-3 with many rational points.*
In
Algebra, Arithmetic and Geometry with Applications.
Springer-Verlag Berlin, Berlin, pp. 619-626.
ISBN 3-540-00475-0

## Abstract

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.

Item Type: | Book Section |
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Additional Information: | Conference: Conference on Algebra, Arithmetic, Geometry and its Applications Location: Purdue Univ, W Lafayette, in Date: Jul 20-26, 2000 |

Uncontrolled Keywords: | Codes |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 16640 |

Deposited On: | 11 Oct 2012 08:58 |

Last Modified: | 11 Oct 2012 08:58 |

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