Yet More Projective Curves Over F2

Mathematics – Number Theory

Scientific paper

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Scientific paper

All binary plane curves of degree less than 7 are examined for curves with a
large number of Fq rational points on their smooth model, for q = 2^m ; m = 3,
4,...,11. Previous results are improved, and many new curves are found meeting
or close to Serre's, Lauter's, and Ihara's upper bounds.

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