Provided herein are method and apparatus for channel coding in the fifth Generation (5G) New Radio (NR) system. An embodiment provides an apparatus for a Next Generation NodeB (gNB), including circuitry, which is configured to: generate Downlink Control Information (DCI) payload for a NR-Physical Downlink Control Channel (NR-PDCCH); attach Cyclic Redundancy Check (CRC) to the DCI payload; mask the CRC with an Radio Network Temporary Identifier (RNTI) using a bitwise modulus 2 addition operation, wherein the number of bits for the RNTI is different from the number of bits for the CRC; and perform polar encoding for the DCI payload with the masked CRC.