Convolutional Goppa codes

In this correspondence, we define convolutional Goppa codes over algebraic curves and construct their corresponding dual codes. Examples over the projective line and over elliptic curves are described, obtaining in particular some maximum-distance separable (MDS) convolutional codes.

[1]  Philippe Piret,et al.  Convolutional Codes: An Algebraic Approach , 1988 .

[2]  G. David Forney,et al.  Convolutional codes I: Algebraic structure , 1970, IEEE Trans. Inf. Theory.

[3]  J. M. Muñoz Porras,et al.  Convolutional Codes of Goppa Type , 2003, Applicable Algebra in Engineering, Communication and Computing.

[4]  Joachim Rosenthal,et al.  Maximum Distance Separable Convolutional Codes , 1999, Applicable Algebra in Engineering, Communication and Computing.

[5]  Joachim Rosenthal,et al.  Connections between linear systems and convolutional codes , 2000, math/0005281.

[6]  J. Tate,et al.  Algorithm for determining the type of a singular fiber in an elliptic pencil , 1975 .