Design of non-binary polar codes with shaping

A method for construction of non-binary polar (sub)codes with shaping is proposed. It is based on the Honda-Yamamoto scheme and does not require multilevel (ML) coding framework. Polar codes with conventional Reed-Solomon kernel, as well as the generalized Reed-Solomon kernel are considered. Simulation results show that non-binary polar (sub)codes with generalized Reed-Solomon kernel provide better shaping gain and performance compared to ML binary polar (sub)codes under list successive cancellation decoding.