Gröbner basis approach to list decoding of algebraic geometry codes |
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| Authors: | Henry O’Keeffe Patrick Fitzpatrick |
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| Affiliation: | (1) Boole Centre for Research in Informatics, National University of Ireland, Cork, Ireland |
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| Abstract: | 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. |
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| Keywords: | Gr?bner bases Polynomial modules Error correcting codes Algebraic geometry codes List decoding |
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