Computer Science – Information Theory
Scientific paper
2010-08-26
Information Theory Workshop, Dublin 2010
Computer Science
Information Theory
Scientific paper
There are two gradient descent decoding procedures for binary codes proposed independently by Liebler and by Ashikhmin and Barg. Liebler in his paper mentions that both algorithms have the same philosophy but in fact they are rather different. The purpose of this communication is to show that both algorithms can be seen as two ways of understanding the reduction process algebraic monoid structure related to the code. The main tool used for showing this is the Gr\"obner representation of the monoid associated to the linear code.
Borges Trenard M. A.
Marquez-Corbella I.
Martinez-Moro Edgar
Quintana Borges M.
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