Methods, apparatus and systems for reduced complexity polar codes based on modified cyclic-redundancy-check (crc) procedures

A method implemented by a wireless transmit/receive unit (WTRU), the method comprising:

• receiving a transmission including a plurality of channel symbols;
• calculating a plurality of log-likelihood ratio (LLR) values from the plurality of received channel symbols;
• performing fast list decoding based on the plurality of calculated LLR values to generate a plurality of decoded sequences and a plurality of path metric values corresponding to the plurality of decoded sequences;
• determining a decoded sequence, of the plurality of decoded sequences, satisfies a cyclic redundancy check (CRC) check from among the plurality of decoded sequences;
• outputting the decoded sequence.

A wireless transmit/receive unit (WTRU) comprising:

• a processor, memory, and a transceiver which are configured to:
• receive a transmission including a plurality of channel symbols,
• calculate a plurality of log-likelihood ratio (LLR) values from the plurality of received channel symbols,
• perform fast list decoding based on the plurality of calculated LLR values to generate a plurality of decoded sequences and a plurality of path metric values corresponding to the plurality of decoded sequences,
• determine a decoded sequence, of the plurality of decoded sequences, satisfies a cyclic redundancy check (CRC) check from among the plurality of decoded sequences, and
• output the decoded sequence.