On the structure of linear recurrent error-control codes
ESAIM: Control, Optimisation and Calculus of Variations, Volume 8  (2002), p. 703-713

We are extending to linear recurrent codes, i.e., to time-varying convolutional codes, most of the classic structural properties of fixed convolutional codes. We are also proposing a new connection between fixed convolutional codes and linear block codes. These results are obtained thanks to a module-theoretic framework which has been previously developed for linear control.

DOI : https://doi.org/10.1051/cocv:2002035
Classification:  93C65,  94B05,  94B10,  12H05,  13A02,  13C05
Keywords: convolutional codes, linear recurrent codes, block codes, transducers, encoders, feedback decoding, linear systems, controllability, observability, input-output inversion, modules
@article{COCV_2002__8__703_0,
     author = {Fliess, Michel},
     title = {On the structure of linear recurrent error-control codes},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     publisher = {EDP-Sciences},
     volume = {8},
     year = {2002},
     pages = {703-713},
     doi = {10.1051/cocv:2002035},
     zbl = {1070.94026},
     mrnumber = {1932969},
     language = {en},
     url = {http://www.numdam.org/item/COCV_2002__8__703_0}
}
Fliess, Michel. On the structure of linear recurrent error-control codes. ESAIM: Control, Optimisation and Calculus of Variations, Volume 8 (2002) , pp. 703-713. doi : 10.1051/cocv:2002035. http://www.numdam.org/item/COCV_2002__8__703_0/

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