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Explicit Maximal and Minimal Curves over Finite Fields of Odd Characteristics

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] at all.
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https://hal.inria.fr/hal-01275794
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Submitted on : Thursday, February 18, 2016 - 10:48:35 AM
Last modification on : Wednesday, December 2, 2020 - 4:54:03 PM
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Ferruh Özbudak, Zülfükar Saygı. Explicit Maximal and Minimal Curves over Finite Fields of Odd Characteristics. WCC2015 - 9th International Workshop on Coding and Cryptography 2015, Anne Canteaut, Gaëtan Leurent, Maria Naya-Plasencia, Apr 2015, Paris, France. ⟨hal-01275794⟩

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