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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Bibliographic Details
Published in:IEEE transactions on information theory 2006-01, Vol.52 (1), p.340-344
Main Authors: Porras, J.M.M., Perez, J.A.D., Curto, J.I.I., Sotelo, G.S.
Format: Article
Language:English
Subjects:
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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Description
Summary: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