Explicit maximal and minimal curves over finite fields of odd characteristics

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Date

2016-11-01

Author

Özbudak, Ferruh
Saygi, Zulfukar

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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

Collections

Department of Mathematics, Article

Citation Formats

F. Özbudak and Z. Saygi, “Explicit maximal and minimal curves over finite fields of odd characteristics,” FINITE FIELDS AND THEIR APPLICATIONS, vol. 42, pp. 81–92, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33387.