Successive cancellation decoding of Reed-Solomon codes

Peter Trifonov · Problems of Information Transmission · 2014

A novel soft-decision decoding algorithm for Reed-Solomon codes over GF(2 m ) is proposed, which is based on representing them as polar codes with dynamic frozen symbols and applying the successive cancellation method. A further performance improvement is obtained by exploiting multiple permutations of codewords which are taken from the automorphism group of Reed-Muller codes. It is also shown that the proposed algorithm can be simplified in the case of decoding a binary image of the Reed-Solomon code.

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