Recursive decoding of Reed-Muller codes
Ilya I. Dumer, Kirill Shabunov · 2002
We use the Plotkin (u,u+v)-construction for general Reed-Muller codes (m,r) and relegate decoding to the two constituent RM codes. First, we use the better protected code (m-1,r-1) to find a subblock v. Then we proceed with the block u from the code (m-l,r). We repeat this recursion on both halves and recalculate the reliabilities of the received symbols. In the end, we perform maximum likelihood decoding on the biorthogonal codes.