New curves with many points over small finite fields

Details New curves with many points over small finite fields New curves with many points over small finite fields

2012-04-19

arxiv.org/abs/1204.4355v1

Mathematics

Number Theory

Scientific paper

We use class field theory to search for curves with many rational points,
finding a number of improvements of the old records. In particular, we settle
the question of how many points a curve over GF(2) of genus 17 can have, by
finding one with 18 points.

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