List decoding codes on Garcia–Stictenoth tower using Gröbner basis |
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| Authors: | M. Prem Laxman Das Kripasindhu Sikdar |
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| Affiliation: | aThe Institute of Mathematical Sciences, CIT Campus Taramani, 600 113 Chennai, Tamil Nadu, India |
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| Abstract: | An account of the interpolation and the root-finding steps of list decoding of one-point codes is given. The interpolation step is reduced to the problem of finding the minimal element of the Gröbner basis of a submodule of a free module over a polynomial ring of one variable. The procedure for root-finding of the interpolation polynomial going modulo a large degree place is described from the tower point of view. |
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| Keywords: | Grö bner basis One-point codes Function fields Towers List decoding |
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