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Reed-Solomon error correction has several applications in broadcasting, in particular forming part of the specification for the ETSI digital terrestrial television standard, known as DVB-T.
Hardware implementations of coders and decoders for Reed-Solomon error correction are complicated and require some knowledge of the theory of Galois fields on which they are based. This note describes the underlying mathematics and algorithms used for coding and decoding, with particular emphasis on the realisation in logic circuits. Worked examples are provided to illustrate the processes involved.