Encoding geometric Goppa codes via Grobner basis and codes on Norm-Trace curves / Codificação de certos codigos de Goppa geometricos utilizando a teoria de Bases de Grobner e codigos sobre a curva Norma-Traço

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

We extend results of Heegard, Little and Saints concerning the Gröbner basis algorithm for one-point Hermitian codes. We work with two-point and n-point Hermitian codes and codes arising from the Norm-Trace curve. We also determine the Weierstrass semigroup at a certain pair of rational points in such curves and uses these computations to improve the lower bound on the minimum distance of two-point algebraic geometry codes arising from them.

ASSUNTO(S)

goppa codes codigos de goppa bases de grobner grobner basis weierstrass points weierstrass pontos de

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