On some open problems on maximal curves

Stefania Fanali; Massimo Giulietti

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On some open problems on maximal curves

机译：关于最大曲线上的一些开放问题

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摘要

In this paper we solve three open problems on maximal curves with Frobenius dimension 3. In particular, we prove the existence of a maximal curve with order sequence (0, 1, 3, q).

机译：在本文中，我们解决了Frobenius维数为3的最大曲线上的三个开放问题。特别是，我们证明了存在阶数为（0，1，3，q）的最大曲线。

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《Designs, Codes and Cryptography》 |2010年第3期|p.131-139|共9页
作者
Stefania Fanali; Massimo Giulietti;
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正文语种 eng
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关键词
Maximal curve; Order sequence; Frobenius dimension; Weierstrass semigroup;

机译：最大曲线;订单顺序;Frobenius维数;Weierstrass半群;

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2. Further examples of maximal curves which cannot be covered by the Hermitian curve [J] . Tafazolian Saeed, Teheran-Herrera Arnoldo, Torres Fernando Journal of pure and applied algebra . 2016,第3期

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3. Maximal curves from subcovers of the GK-curve [J] . Giulietti Massimo, Quoos Luciane, Zini Giovanni Journal of pure and applied algebra . 2016,第10期

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4. Discrete Polynomial Curve Fitting Guaranteei Inclusion-Wise Maximality of Inlier Set [C] . Fumiki Sekiya, Akihiro Sugimoto Asian conference on computer vision . 2017

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5. Stripping the yield curve with maximally smooth forward curves . [D] . Jerassy-Etzion, Yaniv. 2010

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On some open problems on maximal curves

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