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On Goppa Codes and Weierstrass Gaps at Several Points |
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| Authors: | |
| Institution: | (1) Faculdade de Matemática, Universidade Federal de Uberlândia, Av. J.N. de Ávila 2160, 38408-100 Uberlândia – MG, Brasil;(2) IMECC-UNICAMP, Cx. P. 6065, Campinas, 13083-970-SP, Brazil;(3) Present address: Departamento de Algebra, Geometría y Topología, Facultad de Ciencias – Universidad de Valladolid, c/ Prado de la Magdalena s/n 47005, Valladolid, Spain |
| 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.This paper was written while the second author was visiting The University of Valladolid (Dpto. Algebra, Geometría y Topología; Fac. de Ciencias) supported by the Grant SB2000-0225 from the  Secretaria de Estado de Educacíon y Universidades del Ministerio de Educacíon, Cultura y Deportes de España . |
| Keywords: | error correcting codes goppa codes weierstrass gaps at several points gonality sequence of curves |
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