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List decoding algorithms based on Gröbner bases for general one-point AG codes

List decoding algorithms based on Gröbner bases for general one-point AG codes

We generalize the list decoding algorithm for Hermitian codes proposed by Lee and O'Sullivan based on Gr\"obner bases to general one-point AG codes, under an assumption weaker than one used by Beelen and Brander. By using the same principle, we also generalize the unique decoding algorithm for one-point AG codes …