Explicit maximal and minimal curves over finite fields of odd characteristics


ÖZBUDAK F. , Saygi Z.

FINITE FIELDS AND THEIR APPLICATIONS, cilt.42, ss.81-92, 2016 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 42
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.ffa.2016.07.006
  • Dergi Adı: FINITE FIELDS AND THEIR APPLICATIONS
  • Sayfa Sayısı: ss.81-92

Özet

In this work we present explicit classes of maximal and minimal Artin-Schreier type curves over finite fields having odd characteristics. Our results include the proof of Conjecture 5.9 given in [1] as a very special subcase. We use some techniques developed in [2], which were not used in [1]. (C) 2016 Elsevier Inc. All rights reserved.