A UE determines a PMI, by performing at least the following: determining an intermediate set of vectors from a FD codebook; forming a subset of the intermediate set of vectors; mapping the subset of vectors to a combinatorial indicator; and forming the PMI at least from the combinatorial indicator. The UE sends the PMI toward a wireless network. A base station receives the PMI from the UE. The PMI includes a combinatorial indicator that maps to a subset of vectors from the FD codebook. The base station determines, using at least the received PMI, information from at least the FD codebook to apply to data for transmission toward the UE.