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This paper provides a survey of the existing literature on the decoding of algebraic-geometric codes. Definitions, theorems and cross references will be given. We show what has been done, discuss what still has to be done and pose some open problems. The following subjects are examined in a more or less historical order. * Manuscriptdoi:10.1109/18.476214 fatcat:xlmzq64klnbs3dm3wvxhi7cgfm