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arXiv · 2305.06117

Gauss sums and Van der Geer--Van der Vlugt curves

Daichi Takeuchi·Takahiro Tsushima
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Abstract

We study Van der Geer--Van der Vlugt curves in a ramification-theoretic view point. We give explicit formulae on 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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Daichi Takeuchi, Takahiro Tsushima. 2023-05-10. Gauss sums and Van der Geer--Van der Vlugt curves. https://doi.org/10.1112/blms.12953

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