Curves with many points and configurations of hyperplanes over finite fields

Ozbudak F., Stichtenoth H.

FINITE FIELDS AND THEIR APPLICATIONS, cilt.5, sa.4, ss.436-449, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1006/ffta.1999.0262
  • Dergi Adı: FINITE FIELDS AND THEIR APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.436-449
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We establish a correspondence between a class of Kummer extensions of the rational function field and configurations of hyperplanes in an affine space. Using this correspondence, we obtain explicit curves over finite fields with many rational points. Some of our examples almost attain the Oesterle bound. (C) 1999 Academic Press.