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.

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Veröffentlicht in:	IEEE transactions on information theory 2006-01, Vol.52 (1), p.340-344
Hauptverfasser:	Porras, J.M.M., Perez, J.A.D., Curto, J.I.I., Sotelo, G.S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic curves Applied sciences Arithmetic Coding, codes Construction Convolutional codes Elliptic curves Exact sciences and technology finite fields Galois fields Goppa codes Hamming weight Information theory Information, signal and communications theory Linear algebra Mathematical models Mathematics maximum-distance separable (MDS) codes Optical fiber theory Signal and communications theory Telecommunications and information theory
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Beschreibung
Zusammenfassung:	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.
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2005.860447