An algebraic view to gradient descent decoding
MB Quintana, MAB Trenard… - 2010 IEEE …, 2010 - ieeexplore.ieee.org
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 Gröbner representation of the monoid associated to …
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 Gröbner representation of the monoid associated to …
An algebraic view to gradient descent decoding
M Borges Quintana, B Trenard… - arXiv e …, 2010 - ui.adsabs.harvard.edu
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 Gröbner representation of the monoid associated to …
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 Gröbner representation of the monoid associated to …
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