— In this contribution we show how Shannon’s coding theory could be realized for Multiple-Input Multiple-Output (MIMO) channels with the aid of EXtrinsic Information Transfer (EXIT) charts and the Maximum-Aposteriori Probability (MAP) algorithm. We review the relationship between the channel capacity, EXIT charts and the MAP algorithm, outlining the principles of designing near MIMO-channel capacity coding schemes. Both serial and parallel concatenated coding schemes are designed based on these principles and near MIMO-channel capacity performance is achieved.