caa a22 4500 463203216 CHVBK 20180405153118.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s00200-007-0048-7 doi (NATIONALLICENCE)springer-10.1007/s00200-007-0048-7 Gröbner basis approach to list decoding of algebraic geometry codes [Elektronische Daten] [Henry O'Keeffe, Patrick Fitzpatrick] We show how our Gröbner basis algorithm, which was previously applied to list decoding of Reed Solomon codes, can be used in the hard and soft decision list decoding of Algebraic Geometry codes. In addition, we present a linear functional version of our Gröbner basis algorithm in order to facilitate comparisons with methods based on duality. Springer-Verlag, 2007 Gröbner bases nationallicence Polynomial modules nationallicence Error correcting codes nationallicence Algebraic geometry codes nationallicence List decoding nationallicence O'Keeffe Henry Boole Centre for Research in Informatics, National University of Ireland, Cork, Ireland aut Fitzpatrick Patrick Boole Centre for Research in Informatics, National University of Ireland, Cork, Ireland aut Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/5(2007-10-01), 445-466 0938-1279 18:5<445 2007 18 200 https://doi.org/10.1007/s00200-007-0048-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00200-007-0048-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- O'Keeffe Henry Boole Centre for Research in Informatics, National University of Ireland, Cork, Ireland aut NATIONALLICENCE 700 1- Fitzpatrick Patrick Boole Centre for Research in Informatics, National University of Ireland, Cork, Ireland aut NATIONALLICENCE 773 0- Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/5(2007-10-01), 445-466 0938-1279 18:5<445 2007 18 200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer