Title :
Convolutional Goppa codes
Author :
Porras, J. M Munoz ; Pérez, J. A Dominguez ; Curto, J. I Iglesias ; Sotelo, G. Serrano
Author_Institution :
Dept. of Math., Univ. of Salamanca, Spain
Abstract :
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.
Keywords :
Goppa codes; algebraic codes; convolutional codes; dual codes; MDS; algebraic curve; convolutional Goppa code; dual code; finite field; maximum-distance separable code; Arithmetic; Convolutional codes; Elliptic curves; Galois fields; Hamming weight; Mathematics; Optical fiber theory; Algebraic curves; Goppa codes; convolutional codes; finite fields; maximum-distance separable (MDS) codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.860447
