A Generalized Floor Bound for the Minimum Distance of Geometric Goppa Codes and its Application to Two-Point Codes

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We prove a new bound for the minimum distance of geometric Goppa codes that generalizes two previous improved bounds. We include examples of the bound to one and two point codes over both the Suzuki and Hermitian curves.
7 pages (fixed typos in second submission)

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Number Theory, Algebraic Geometry, 11T71

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http://salesiana.dossiersoluciones.com/handle/123456789/72278

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408341
 http://arxiv.org/abs/math/0408341

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arXiv