Decoding algebraic-geometric codes up to the designed minimum distance

G.L. Feng, T.R.N. Rao · IEEE Transactions on Information Theory · 1993

A simple decoding procedure for algebraic-geometric codes C/sub Omega /(D,G) is presented. This decoding procedure is a generalization of Peterson's decoding procedure for the BCH codes. It can be used to correct any ((d*-1)/2) or fewer errors with complexity O(n/sup 3/), where d* is the designed minimum distance of the algebraic-geometric code and n is the codelength.>

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