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Explicit maximal and minimal curves over finite fields of odd characteristics |
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| Affiliation: | 1. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Dumlupınar Bul., No:1, 06800, Ankara, Turkey;2. Department of Mathematics, TOBB University of Economics and Technology, Söğütözü, 06530, Ankara, Turkey |
| 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]. |
| Keywords: | Algebraic curves Rational points Maximal curves Minimal curves |
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