Decoding method for generalized algebraic geometry codes

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We propose a decoding method for the generalized algebraic geometry codes proposed by Xing et al. To show its practical usefulness, we give an example of generalized algebraic geometry codes of length 567 over F_8 whose numbers of correctable errors by the proposed method are larger than the shortened codes of the primitive BCH codes of length 4095 in the most range of dimension.
LaTeX2e, 8 pages, 1 figure

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Number Theory, Information Theory, Algebraic Geometry, 11T71 (Primary) 11G20, 14G50, 94B27 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/134331

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104222
 http://arxiv.org/abs/math/0104222

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arXiv