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Convolutional Goppa codes defined on fibrations

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Abstract

We define a new class of Convolutional Codes in terms of fibrations of algebraic varieties generalizing our previous constructions of Convolutional Goppa Codes (Domínguez Pérez et al. in AAECC 15:51–61, 2004 [1]; Muñoz Porras et al. in IEEE Trans. Inform. Theory 52(1):340–344, 2006; [16]). This general approach allow us to give convolutional codes with maximal error correction capability (Maximum Distance Separable).

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Authors and Affiliations

  1. Departamento de Matemáticas, IUFFyM, Universidad de Salamanca, Plaza de la Merced 1, 37008, Salamanca, Spain

    J. I. Iglesias Curto, J. M. Muñoz Porras, F. J. Plaza Martín & G. Serrano Sotelo

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  1. J. I. Iglesias Curto
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  2. J. M. Muñoz Porras
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  3. F. J. Plaza Martín
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  4. G. Serrano Sotelo
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Corresponding author

Correspondence to F. J. Plaza Martín.

Additional information

This research was supported by the Spanish DGESYC through research project MTM2009-11393 MICINN.

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Iglesias Curto, J.I., Muñoz Porras, J.M., Plaza Martín, F.J. et al. Convolutional Goppa codes defined on fibrations. AAECC 23, 165–178 (2012). https://doi.org/10.1007/s00200-012-0173-9

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  • DOI: https://doi.org/10.1007/s00200-012-0173-9

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