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arXiv · 1609.04797

On the spectrum for the genera of maximal curves over small fields

Nazar Arakelian·Saeed Tafazolian·Fernando Torres
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Abstract

Motivated by previous computations in Garcia, Stichtenoth and Xing (2000) paper ,we discuss the spectrum $\mathbf{M}(q^2)$ for the genera of maximal curves over finite fields of order $q^2$ with $7\leq q\leq 16$. In particular, by using a result in Kudo and Harashita(2016) paper, the set $\mathbf{M}(7^2)$ is completely determined.

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Nazar Arakelian, Saeed Tafazolian, Fernando Torres. 2016-09-15. On the spectrum for the genera of maximal curves over small fields. https://arxiv.org/abs/1609.04797

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