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- W2783161780 abstract "Abstract Let 𝓧 be the nonsingular model of a plane curve of type y n = f ( x ) over the finite field F of order q 2 , where f ( x ) is a separable polynomial of degree coprime to n . If the number of F -rational points of 𝓧 attains the Hasse–Weil bound, then the condition that n divides q +1 is equivalent to the solubility of f ( x ) in F ; see [20]. In this paper, we investigate this condition for f ( x ) = x ℓ ( x m +1)." @default.
- W2783161780 created "2018-01-26" @default.
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- W2783161780 date "2018-01-07" @default.
- W2783161780 modified "2023-10-03" @default.
- W2783161780 title "On the curve<i>Y<sup>n</sup></i>=<i>X<sup>ā„“</sup></i>(<i>X<sup>m</sup></i>+ 1) over finite fields" @default.
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- W2783161780 doi "https://doi.org/10.1515/advgeom-2017-0041" @default.
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