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Curves of genus 3 over small finite fields

Jaap Top
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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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Jaap Top. 2003-01-23. Curves of genus 3 over small finite fields. https://arxiv.org/abs/math/0301264

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