© 2017 IEEE. Holography is considered to be one of the most promising techniques of goggle-free visualization for the near-future. We consider wireless transmission of digital holograms, which are partitioned into multiple bitplanes that are then independently encoded by a forward error correction (FEC) code for transmission over wireless channels. The coding rates of these bitplanes will be optimized at the transmitter for the sake of achieving an improved holographic peak signal-to-noise ratio (PSNR) at the receiver. Our simulation results show that up to 2.6 dB of Eb/N0or 12.5 dB of PSNR improvements may be achieved when employing a recursive systematic convolutional code.