Explicit maximal and minimal curves over finite fields of odd characteristics

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2016-11-01

Author

Özbudak, Ferruh

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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].

Subject Keywords

Algebraic curves, Rational points, Maximal curves, Minimal curves

URI

https://hdl.handle.net/11511/33387

Journal

FINITE FIELDS AND THEIR APPLICATIONS

DOI

https://doi.org/10.1016/j.ffa.2016.07.006

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Department of Mathematics, Article

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Citation Formats

F. Özbudak, “Explicit maximal and minimal curves over finite fields of odd characteristics,” FINITE FIELDS AND THEIR APPLICATIONS, pp. 81–92, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33387.