This document discusses formats for coherent optical communications. It explores higher dimensionality modulation formats that apply modulation over more than one parameter such as polarization, time-slot, wavelength, or mode. Both uncoded systems and systems using forward-error correction are studied in terms of spectral efficiency and sensitivity. The document finds that increasing dimensionality at a constant spectral efficiency improves sensitivity substantially for uncoded systems, but provides much smaller gains for coded systems. It also outlines some of the advantages and disadvantages of coherent optical receivers, as well as challenges such as long loop delays and narrow loop bandwidth, and potential solutions through integrated circuits and digital feedback systems.