Hermitian Codes
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Códigos de Goppa e Distâncias Generalizadas de Hamming / Goppa Codes and Generalized Hamming Weights
In this work, we study geometric Goppa codes and present several results on the so-called generalized Hamming distances. In the particular case of Hermitian codes we present precise results for the first, second and third generalized distances, for almost all Goppa codes supported on one point.
Publicado em: 2009
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2. Sobre codigos hermitianos generalizados / On generalized hermitian codes
We study Goppa codes (GH codes) based on certain algebraic function fields whose number of rational places is large. These codes generalize the well-known Hermitian codes; thus we might expect that they have good parameters. Bulygin (IEEE Trans. Inform. Theory 52 (10), 46644669 (2006)) initiate the study of GH-codes; while he considered only the even chara
Publicado em: 2008
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3. 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
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
Publicado em: 2008