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

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.

12 pages

References in corpus (1)

• Exponential sums and total Weil representations of finite symplectic and unitary groups