Serial Concatenation of Reed Muller and LDPC Codes with Low Error Floor

Abstract

In this paper, we propose a concatenated coding scheme involving an outer Reed-Muller (RM) code and an inner Finite Field low-density parity check (LDPC) code of medium length and high rate. It lowers the error floor of inner Finite Field LDPC code. This concatenation scheme offers flexibility in design and it is easy to implement. In addition, the decoding works in a serial turbo manner and has no harmful trapping sets of size smaller than the minimum distance of the outer code. The simulation results indicate that the proposed serial concatenation can eliminate the dominant trapping sets of the inner Finite Field LDPC code.