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math.NTMay 31, 2001
authors
  • Chris Lomont
institutions
  • Purdue University West Lafayette
arXiv abstractPDF
paper

Yet More Projective Curves Over F2

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.

References in corpus (1)

  • Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields
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