Improved list-decoding for Reed-Muller codes as generalized multiple concatenated (GMC) codes
R. Lucas, Martin Bossert, Armin Dammann · 2002
We present a new list-decoding algorithm for Reed-Muller (RM) codes based on the GMC decoding algorithm proposed previously. As a result, a SDML decoding algorithm for the 1st order RM codes is obtained. Furthermore, simulations showed that for RM codes of higher order and up to a length 1024, the performance of L-GMC decoding is more than 1 dB superior to conventional GMC decoding.