Finite number of fibre products of Kummer covers and curves with many points over finite fields


ÖZBUDAK F. , GÜLMEZ TEMÜR B.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.70, sa.3, ss.385-404, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Konu: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s10623-012-9706-2
  • Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
  • Sayfa Sayıları: ss.385-404

Özet

We study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Ozbudak and Temur (Appl Algebra Eng Commun Comput 18:433-443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011).