Curves of genus 3 over small finite fields

Details Curves of genus 3 over small finite fields Curves of genus 3 over small finite fields

2003-01-23

arxiv.org/abs/math/0301264v1

Mathematics

Number Theory

9 pages

Scientific paper

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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