High performance, flexible, and compact low-density parity-check (ldpc) code

An apparatus for wireless communication, comprising:

• at least one processor coupled with a memory and configured to:
• determine a base graph associated with a plurality of low-density parity-check (LDPC) codes for a plurality of code rates and blocklengths, the base graph corresponding to a base parity check matrix (PCM) having a maximum number of base information columns corresponding to a maximum number of base information bits;
• determine a lifting size value for generating a lifted LDPC code;
• shorten the base PCM by removing one or more of the base information columns corresponding to one or more base information bits based on at least one of:
• a desired code rate, lifting size value, or blocklength for transmission;
• generate the lifted LDPC code based on the shortened base PCM and the determined lifting size value;
• and
• at least one of:
• encode a set of information bits using the lifted LDPC code to produce one or more codewords for transmission or decode one or more received codewords using the lifting LDPC code to obtain a set of information bits.

An apparatus for wireless communication, comprising:

• means for determining a base graph associated with a plurality of low-density parity-check (LDPC) codes for a plurality of code rates and blocklengths, the base graph corresponding to a base parity check matrix (PCM) having a maximum number of base information columns corresponding to a maximum number of base information bits;
• means for determining a lifting size value for generating a lifted LDPC code;
• means for shortening the base PCM by removing one or more of the base information columns corresponding to one or more base information bits based on at least one of:
• a desired code rate, lifting size value, or blocklength for transmission;
• means for generating the lifted LDPC code based on the shortened base PCM and the determined lifting size value;
• and
• means for at least one of:
• encoding a set of information bits using the lifted LDPC code to produce one or more codewords for transmission or decoding one or more received codewords using the lifting LDPC code to obtain a set of information bits.

A computer readable medium having computer executable code stored thereon for wireless communication, comprising:

• code for determining a base graph associated with a plurality of low-density parity-check (LDPC) codes for a plurality of code rates and blocklengths, the base graph corresponding to a base parity check matrix (PCM) having a maximum number of base information columns corresponding to a maximum number of base information bits;
• code for determining a lifting size value for generating a lifted LDPC code;
• code for shortening the base PCM by removing one or more of the base information columns corresponding to one or more base information bits based on at least one of:
• a desired code rate, lifting size value, or blocklength for transmission;
• code for generating the lifted LDPC code based on the shortened base PCM and the determined lifting size value;
• and
• code for at least one of:
• encoding a set of information bits using the lifted LDPC code to produce one or more codewords for transmission or decoding one or more received codewords using the lifting LDPC code to obtain a set of information bits.