Soft-Decision Decoding of Reed–Muller Codes With Applications to Partial Response Channels

Bane V. Vasic, J. Park, Erozan M. Kurtas · IEEE Transactions on Magnetics · 2004

We propose a new approach to the soft-decision decoding of Reed-Muller codes, which takes direct advantage of the Reed decoding algorithm. The proposed decoder has highly parallel and modularized structure compared to the decoder of the random low-density parity-check (LDPC) codes. We apply the new decoding algorithm to the both longitudinal and perpendicular magnetic recording channels.

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