Multi-dimensional coded modulation approaches the nonlinear Shannon limit due to its high SNR sensitivity and large Euclidean distance between multi-dimensional symbols. It also eliminates phase ambiguity to avoid cycle slips. In this paper, we review the design principles of bit-interleaved coded modulation with multi-dimensional mapping and its performance in long-haul transmission experiments with different spectral efficiencies in both dispersion managed and dispersion unmanaged fiber optic systems.Index Terms-coded modulation, coherent communications, coherent detection, fiber optics communications, maximum a posteriori probability (MAP) detection, optical communications, quadrature amplitude modulation (QAM), wavelength-division multiplexing (WDM) 0733-8724 (c)