Optimal curves of low genus over finite fields

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Abstract

We investigate maximal and minimal curves of genus 4 and 5 over finite fields with discriminant -11 and -19. As a result the Hasse-Weil-Serre bound is improved.

Original languageEnglish
Pages (from-to)203-224
Number of pages22
JournalFinite Fields and their Applications
Volume37
DOIs
Publication statusPublished - 1 Jan 2016
Externally publishedYes

Keywords

  • Curves over finite field
  • Function fields over finite fields
  • Maximal curves

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