Performances of Chaos Coded Modulation schemes based on high dimensional LDPC Mod-MAP mapping with Belief Propagation decoding

In this paper, we propose to generalize the coding schemes first proposed by Kozic & al to high spectral efficient modulation schemes. To obtain high performing coding schemes, we use a high dimensional modulo-MAP mapping process similar to the low-density generator-matrix codes (LDGM) introduced by Kozic & al. The main difference with their work is that we use an encoding and decoding process on GF(2
^m
) which enables to obtain better performances while preserving a relative simple decoding algorithm when we use the Extended Min-Sum (EMS) algorithm of Declercq & Fossorier.