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arxiv: math/0301264 · v1 · submitted 2003-01-23 · 🧮 math.NT · math.AG

Curves of genus 3 over small finite fields

classification 🧮 math.NT math.AG
keywords fieldsfinitegenuscardinalitycontainingcurvecurvesfield
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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.

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