Explicit maximal and minimal curves over finite fields of odd characteristics


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ÖZBUDAK F., Saygi Z.

FINITE FIELDS AND THEIR APPLICATIONS, cilt.42, ss.81-92, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.ffa.2016.07.006
  • Dergi Adı: FINITE FIELDS AND THEIR APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.81-92
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.