On Goppa Codes and Weierstrass Gaps at Several Points

Authors:
Cícero Carvalho;Fernando Torres
Affiliations:
Faculdade de Matemática, Universidade Federal de Uberlândia, Uberlândia -- MG, Brasil 38408-100;Aff2 Aff3
Venue:
Designs, Codes and Cryptography
Year:
2005

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Abstract

We generalize results of Homma and Kim [J. Pure Appl. Algebra Vol. 162, (2001), pp. 273--290] concerning an improvement on the Goppa bound on the minimum distance of certain Goppa codes.