  It is shown how to combine ordered statistics decoding (OSD) with CRC-aided
belief propagation list (CBPL) decoding of polar codes. Even when the
reprocessing order of the OSD is as low as one, the new decoder is shown to
significantly improve on CBPL. For reprocessing orders higher than one, we
suggest partial reprocessing, where only error patterns associated with the
least reliable part of the belief propagation decoded most reliable independent
bits are considered. This type of partial reprocessing offers a trade-off
between performance and computational complexity.
