27 citations · 41 across the 4 of their papers we have counts for
4 papers
The coset weight distributions of certain BCH codes and a family of curves
Gerard van der Geer, Marcel van der Vlugt
We study the distribution of the number of rational points in a family of curves over a finite field of characteristic 2. This distribution determines the coset weight distribution…
How to Construct Curves over Finite Fields With Many Points
Gerard van der Geer, Marcel van der Vlugt
In this paper we give several methods to construct curves over finite fields with many points and illustrate this with examples of the results.
Quadratic forms, generalized Hamming weights of codes and curves with many points
G. van der Geer, M. van der Vlugt
We use the relations between quadrics, trace codes and algebraic curves to construct algebraic curves over finite fields with many points and to compute generalized Hamming weights…
On the Existence of Supersingular Curves of Given Genus
Gerard van der Geer, Marcel van der Vlugt
We give a method to construct explicitly a supersingular curve of given genus g in characteristic 2.