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We consider the three-receiver Gaussian multiple-input multiple-output (MIMO)broadcast channel with an arbitrary number of antennas at each of thetransmitter and the receivers. We investigate the degrees-of-freedom (DoF)region of the channel when each receiver requests a private message, and mayknow some of the messages requested by the other receivers as receiver messageside information (RMSI). We establish the DoF region of the channel for all 16possible non-isomorphic RMSI configurations by deriving tight inner and outerbounds on the region. To derive the inner bounds, we first propose a scheme foreach RMSI configuration which exploits both the null space and the sideinformation of the receivers. We then use these schemes in conjunction withtime sharing for 15 RMSI configurations, and with time sharing and two-symbolextension for the remaining one. To derive the outer bounds, we constructenhanced versions of the channel for each RMSI configuration, and upper boundtheir DoF region. After establishing the DoF region, in the case where all thenodes have the same number of antennas, we introduce some common properties ofthe DoF region, and the capacity region of the index coding problem.

The DoF Region of the Three-Receiver MIMO Broadcast Channel with Side Information and Its Relation to Index Coding Capacity