Published January 1, 2013 | Version v1
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An exhaustive computer search for finding new curves with many points among fibre products of two Kummer covers over F-5 and F-7

  • 1. Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
  • 2. Middle E Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey

Description

In this paper we make an exhaustive computer search for finding new curves with many points among fibre products of 2 Kummer covers of the projective line over F-5 and F-7. At the end of the search, we have 12 records and 6 new entries for the current Table of Curves with Many Points. In particular, we observe that the fibre product

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