Feedback equivalence of convolutional codes over finite rings

Noemí DeCastro-García

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 1495-1508
  • ISSN: 2391-5455

Abstract

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The approach to convolutional codes from the linear systems point of view provides us with effective tools in order to construct convolutional codes with adequate properties that let us use them in many applications. In this work, we have generalized feedback equivalence between families of convolutional codes and linear systems over certain rings, and we show that every locally Brunovsky linear system may be considered as a representation of a code under feedback convolutional equivalence.

How to cite

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Noemí DeCastro-García. "Feedback equivalence of convolutional codes over finite rings." Open Mathematics 15.1 (2017): 1495-1508. <http://eudml.org/doc/288290>.

@article{NoemíDeCastro2017,
abstract = {The approach to convolutional codes from the linear systems point of view provides us with effective tools in order to construct convolutional codes with adequate properties that let us use them in many applications. In this work, we have generalized feedback equivalence between families of convolutional codes and linear systems over certain rings, and we show that every locally Brunovsky linear system may be considered as a representation of a code under feedback convolutional equivalence.},
author = {Noemí DeCastro-García},
journal = {Open Mathematics},
keywords = {Convolutional codes; Linear systems; Feedback equivalence; Finite rings; Coding theory},
language = {eng},
number = {1},
pages = {1495-1508},
title = {Feedback equivalence of convolutional codes over finite rings},
url = {http://eudml.org/doc/288290},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Noemí DeCastro-García
TI - Feedback equivalence of convolutional codes over finite rings
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1495
EP - 1508
AB - The approach to convolutional codes from the linear systems point of view provides us with effective tools in order to construct convolutional codes with adequate properties that let us use them in many applications. In this work, we have generalized feedback equivalence between families of convolutional codes and linear systems over certain rings, and we show that every locally Brunovsky linear system may be considered as a representation of a code under feedback convolutional equivalence.
LA - eng
KW - Convolutional codes; Linear systems; Feedback equivalence; Finite rings; Coding theory
UR - http://eudml.org/doc/288290
ER -

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