Curves of genus 3 over small finite fields

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We present a table containing the maximal number of rational points on a genus 3 curve over a field of cardinality q, for all q<100. Also, some remarks on Frobenius non-classical quartics over finite fields are given.
9 pages

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Number Theory, Algebraic Geometry, 11G; 14H

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http://salesiana.dossiersoluciones.com/handle/123456789/66333

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301264
 http://arxiv.org/abs/math/0301264

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arXiv