Algebraic geometry constructions of convolutional codes

  1. J. A. Domínguez Pérez 1
  2. J. M. Muñoz Porras 1
  3. G. Serrano Sotelo 1
  1. 1 Department of Mathematics. University of Salamanca
Libro:
Advances in algebraic geometry codes

Editorial: Word Scientific

ISBN: 9789812794000,  981279400X

Año de publicación: 2008

Páginas: 391-417

Tipo: Capítulo de Libro

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Resumen

Algebraic-geometric techniques to construct linear codes can be appliedto construct convolutional codes, using algebraic curves over functionfields. In this way we construct convolutional Goppa codes and providea systematic way for constructing convolutional codes with prescribedproperties. We study convolutional Goppa codes defined by the projec-tive line and elliptic curves in detail