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OMEGA: a system for the effective construction, coding and decoding of block error-correcting codes

Autor
Xambo, S.
Tipus d'activitat
Article en revista
Revista
Contributions to science
Data de publicació
2000
Volum
1
Número
2
Pàgina inicial
199
Pàgina final
224
URL
http://revistes.iec.cat/index.php/CtS/article/view/34264/34369 Obrir en finestra nova
Resum
In this work, we show how to implement effective constructions, coding and decoding of algebraic codes by means of Omega, a system specifically designed and programmed for general mathematical computations. For alternant codes, the main class we consider (which includes BCH, RS and classical Goppa codes), we give an implementation of the Euclidean division BM decoding algorithm. For cyclic codes we implement the Meggitt decoder, and to illustrate how it works we provide an imp...

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