Explicit maximal and minimal curves over finite fields of odd characteristics

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ÖZBUDAK F., Saygi Z.

FINITE FIELDS AND THEIR APPLICATIONS, vol.42, pp.81-92, 2016 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 42
• Publication Date: 2016
• Doi Number: 10.1016/j.ffa.2016.07.006
• Journal Name: FINITE FIELDS AND THEIR APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.81-92
• Middle East Technical University Affiliated: Yes

Abstract

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.