Curves of genus 3 over small finite fields

2003/01/23 by Jaap Top, Top, Jaap
Mathematics · #11G #14H #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G #msc:14H

paper · pdf · doi:10.48550/arxiv.math/0301264

9 pages

arxiv created 2003/01/23 · arxiv updated 2009/11/30

Abstract

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.

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