On Weierstrass points and optimal curves

Abstract

We use Weierstrass Point Theory and Frobenius orders to prove the uniqueness (up to isomorphism) of some optimal curves.

22 pages, Latex 2e

References in corpus (1)

• How to Construct Curves over Finite Fields With Many Points

Cited by in corpus (12)

• Quotient curves of the Deligne-Lusztig curve of Suzuki type
• The approach of St"ohr-Voloch to the Hasse-Weil bound with applications to optimal curves and plane arcs
• Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus
• Embedding of a maximal curve in a Hermitian variety
• On maximal curves that are not quotients of the Hermitian curve
• On a F_{q^2}-maximal curve of genus q(q-3)/6
• Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q\equiv 1(\mathrm{mod}3)$
• Remarks on plane maximal curves
• On curves covered by the Hermitian curve, II
• Suzuki-invariant codes from the Suzuki curve
• On the genus of a maximal curve
• On maximal curves in characteristic two