Yet More Projective Curves Over F2

2001/05/31 by Lomont, Chris
#FOS: Mathematics #Number Theory (math.NT) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/0105262

Abstract

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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