An improvement of the Hasse-Weil-Serre bound for curves over some finite fields

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Abstract

The Hasse-Weil-Serre bound is improved for low genus curves over finite fields with discriminant from {-3,-4,-7,-8} by studying maximal and minimal curves.

Original languageEnglish
Pages (from-to)88-99
Number of pages12
JournalFinite Fields and their Applications
Volume30
DOIs
Publication statusPublished - Nov 2014
Externally publishedYes

Keywords

  • Curves over finite fields
  • Maximal curves
  • The Hasse-Weil-Serre bound

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