Gauss sums and Van der Geer–Van der Vlugt curves
We study Van der Geer–Van der Vlugt curves in a ramification‐theoretic view point. We give explicit formulae on the L$L$‐polynomials of these curves. As a result, we show that these curves are supersingular and give sufficient conditions for these curves to be maximal or minimal.
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2024-02, Vol.56 (2), p.602-623 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We study Van der Geer–Van der Vlugt curves in a ramification‐theoretic view point. We give explicit formulae on the L$L$‐polynomials of these curves. As a result, we show that these curves are supersingular and give sufficient conditions for these curves to be maximal or minimal. |
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| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/blms.12953 |