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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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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
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BibTeX
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.