Quadratic forms, generalized Hamming weights of codes and curves with many points

1994/12/13 by G. van der Geer, van der Geer, G., M. van der Vlugt +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9412011

14 pages, Plain TeX

arxiv created 1994/12/13 · arxiv updated 2009/11/30

Abstract

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 of codes.

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